%!PS-Adobe-3.0 %%Title: (Microsoft Word - scheduling) %%Creator: (Microsoft Word: AdobePS 8.5.1) %%CreationDate: (10:02 PM Monday, May 17, 1999) %%For: (Matt Bishop) %%Pages: 19 %%DocumentFonts: Helvetica Helvetica-Bold Helvetica-Oblique Symbol TimesNewRomanPSMT %%DocumentNeededResources: font Helvetica Helvetica-Bold Helvetica-Oblique Symbol %%DocumentSuppliedResources: font TimesNewRomanPSMT %%DocumentData: Clean7Bit %%PageOrder: Ascend %%Orientation: Portrait %%DocumentMedia: Default 612 792 0 () () %ADO_ImageableArea: 30 31 582 761 %%EndComments %%BeginDefaults %%ViewingOrientation: 1 0 0 1 %%EndDefaults userdict/dscInfo 5 dict dup begin /Title(Microsoft Word - scheduling)def /Creator(Microsoft Word: AdobePS 8.5.1)def /CreationDate(10:02 PM Monday, May 17, 1999)def /For(Matt Bishop)def /Pages 19 def end put /md 312 dict def md begin/currentpacking where {pop /sc_oldpacking currentpacking def true setpacking}if %%BeginFile: lw8_basic-2.2 %%Copyright: Copyright 1990-1997 Adobe Systems Incorporated and Apple Computer Incorporated. 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np 0 360 arc fill }bd /@j { gS np :T scale 0 0 .5 0 360 arc fill gR }bd /@e { np 0 360 arc :K stroke }bd /@f { np $m currentmatrix pop :T scale 0 0 .5 0 360 arc :K $m setmatrix stroke }bd /@k { gS np :T 0 0 :M 0 0 5 2 roll arc fill gR }bd /@l { gS np :T 0 0 :M scale 0 0 .5 5 -2 roll arc fill gR }bd /@m { np arc stroke }bd /@n { np $m currentmatrix pop :T scale 0 0 .5 5 -2 roll arc $m setmatrix stroke }bd %%EndFile %%BeginFile: lw8_basic_text-2.0 /S/show ld /A{ 0.0 exch ashow }bd /R{ 0.0 exch 32 exch widthshow }bd /W{ 0.0 3 1 roll widthshow }bd /J{ 0.0 32 4 2 roll 0.0 exch awidthshow }bd /V{ 0.0 4 1 roll 0.0 exch awidthshow }bd /fcflg T def /fc{ fcflg{ vmstatus exch sub 50000 lt{ (%%[ Warning: Running out of memory ]%%\r)print flush/fcflg F store }if pop }if }bd /$f[1 0 0 -1 0 0]def /:ff{$f :mf}bd /:dff{findfont}def /MacEncoding StandardEncoding 256 array copy def MacEncoding dup 9/space put dup 39/quotesingle put 96/grave put 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/Encoding Z /:mre { copyfontdict /Encoding MacEncoding def fontname currentdict end definefont :ff fD }bd /:bsr { copyfontdict /Encoding Encoding 256 array copy def Encoding dup }bd /pd{put dup}bd /:esr { pop pop fontname currentdict end definefont :ff fD }bd /ps Z /fz{/ps xs}bd /cF/currentfont ld /mbf { /makeblendedfont where { pop makeblendedfont /ABlend exch definefont }{ pop }ifelse fD }def %%EndFile %%BeginFile: lw8_derived_styles-2.0 /wi version(23.0)eq { { gS 0 0 0 0 rC stringwidth gR }bind }{ /stringwidth load }ifelse def /$o 1. def /gl{$o G}bd /ms{:M S}bd /condensedmtx[.82 0 0 1 0 0]def /:mc { condensedmtx :mf fD }bd /extendedmtx[1.18 0 0 1 0 0]def /:me { extendedmtx :mf fD }bd /basefont Z /basefonto Z /dxa Z /dxb Z /dxc Z /dxd Z /dsdx2 Z /bfproc Z /:fbase { dup/FontType get 0 eq{ dup length dict begin dup{1 index/FID ne 2 index/UniqueID ne and{def}{pop pop}ifelse}forall /FDepVector exch/FDepVector get[exch/:fbase load forall]def }/bfproc load ifelse /customfont currentdict end definefont }bd /:mo { /bfproc{ dup dup length 2 add dict begin { 1 index/FID ne 2 index/UniqueID ne and{def}{pop pop}ifelse }forall /PaintType 2 def /StrokeWidth .012 0 FontMatrix idtransform pop def /customfont currentdict end definefont 8 dict begin /basefonto xdf /basefont xdf /FontType 3 def /FontMatrix[1 0 0 1 0 0]def /FontBBox[0 0 1 1]def /Encoding StandardEncoding def /BuildChar { exch begin basefont setfont ( )dup 0 4 -1 roll put dup wi setcharwidth 0 0 :M gS gl dup show gR basefonto setfont show end }def }store :fbase }bd /:mso { /bfproc{ 7 dict begin /basefont xdf /FontType 3 def /FontMatrix[1 0 0 1 0 0]def /FontBBox[0 0 1 1]def /Encoding StandardEncoding def /BuildChar { exch begin sD begin /dxa 1 ps div def basefont setfont ( )dup 0 4 -1 roll put dup wi 1 index 0 ne { exch dxa add exch }if setcharwidth dup 0 0 ms dup dxa 0 ms dup dxa dxa ms dup 0 dxa ms gl dxa 2. div dup ms end end }def }store :fbase }bd /:ms { /bfproc{ dup dup length 2 add dict begin { 1 index/FID ne 2 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:fbase }bd /:msb { /bfproc{ 7 dict begin /basefont xdf /FontType 3 def /FontMatrix[1 0 0 1 0 0]def /FontBBox[0 0 1 1]def /Encoding StandardEncoding def /BuildChar { exch begin sD begin /dxd .03 def basefont setfont ( )dup 0 4 -1 roll put dup wi 1 index 0 ne { exch dxd add exch }if setcharwidth dup 0 0 ms dup dxd 0 ms dup dxd dxd ms 0 dxd ms end end }def }store :fbase }bd /italicmtx[1 0 -.212557 1 0 0]def /:mi { italicmtx :mf fD }bd /:v { [exch dup/FontMatrix get exch dup/FontInfo known { /FontInfo get dup/UnderlinePosition known { dup/UnderlinePosition get 2 index 0 3 1 roll transform exch pop }{ .1 }ifelse 3 1 roll dup/UnderlineThickness known { /UnderlineThickness get exch 0 3 1 roll transform exch pop abs }{ pop pop .067 }ifelse }{ pop pop .1 .067 }ifelse ] }bd /$t Z /$p Z /$s Z /:p { aload pop 2 index mul/$t xs 1 index mul/$p xs .012 mul/$s xs }bd /:m {gS 0 $p rm $t lw 0 rl stroke gR }bd /:n { gS 0 $p rm $t lw 0 rl gS gl stroke gR strokepath $s lw /setstrokeadjust where{pop currentstrokeadjust T setstrokeadjust stroke setstrokeadjust }{ stroke }ifelse gR }bd /:o {gS 0 $p rm $t 2 div dup rm $t lw dup 0 rl stroke gR :n }bd %%EndFile %%BeginFile: lw8_bitmapfont-2.0 /$n F def /CharData Z /CharTable Z /Gnormsize Z /Gkernmax Z /Gdescent Z /rowbytes Z /bitwidth Z /bitheight Z /dx Z /XOffset Z /YOffset Z /width Z level2 startnoload /xSmt Z /ySmt Z /str Z /str1 Z /wb Z /:s { $n userdict/sc_smooth known and vmstatus pop exch pop bitwidth 3 mul sub 1000 gt and bitwidth 4 mul 7 add 8 idiv 4 mul 65535 le and bitwidth 0 ne and bitheight 0 ne and { /xSmt bitwidth 4 mul store /ySmt bitheight 4 mul store /str CharData dx get store /wb bitwidth 7 add 8 idiv store /str1 wb string store xSmt ySmt T bitwidth bitheight str1 wb 4 mul string bitwidth 4 mul 7 add 8 idiv 4 mul string T F sc_initsmooth [xSmt 0 0 ySmt neg 0 ySmt] { str 0 wb getinterval str1 copy sc_smooth { /str str wb str length wb sub getinterval store }if } dup exec pop dup exec pop }{ bitwidth bitheight T [ bitwidth 0 0 bitheight neg 0 bitheight ] { CharData dx get } }ifelse }bd level2 endnoload level2 not startnoload /Width Z /Height Z /bitfontdict 9 dict begin /ImageType 1 def /MultipleDataSource F def /Decode[1 0]def /DataSource{CharData dx get}bd /BitsPerComponent 1 def currentdict end def /:s { bitfontdict begin /Width bitwidth def /Height bitheight def /ImageMatrix[Width 0 0 Height neg 0 Height]def /Interpolate $n def currentdict end }bd level2 not endnoload /BMEncoding MacEncoding dup length array copy def /NUL/SOH/STX/ETX/EOT/ENQ/ACK/BEL/BS/HT/LF/VT/FF/CR/SO/SI /DLE/DC1/DC2/DC3/DC4/NAK/SYN/ETB/CAN/EM/SUB/ESC/FS/GS/RS/US BMEncoding 0 32 getinterval astore pop BMEncoding 202/blank put /:bbf { 13 dict begin /MFontType 0 def /CharTable xdf array/CharData xdf .96 exch div /Gnormsize xdf 2 index /Gkernmax xdf 1 index /Gdescent xdf 3 index div 4 1 roll 2 index div 1. 5 2 roll exch div 4 1 roll 4 array astore /FontBBox xdf /FontType 3 def /FontMatrix[1 0 0 1 0 0]def /Encoding BMEncoding def /BuildChar { exch begin sD begin /dx xdf save CharTable dx 6 mul 6 getinterval{}forall /bitheight xdf /bitwidth xdf .96 div /width xdf Gkernmax add /XOffset xdf Gdescent add /YOffset xdf /rowbytes xdf rowbytes 255 eq { 0 0 0 0 0 0 setcachedevice } { Gnormsize dup scale width 0 XOffset YOffset bitwidth XOffset add bitheight YOffset add setcachedevice rowbytes 0 ne bitheight 0 ne and { XOffset YOffset :T np 0 0 :M bitwidth bitheight scale :s imagemask }if }ifelse restore end end }def CharData dup }bd /:ebf { /FontName xdf pop pop FontName currentdict end definefont :ff md/rename known{dup/FontName get rename}if def }bd %%EndFile /currentpacking where {pop sc_oldpacking setpacking}if end %%EndProlog %%BeginSetup md begin /fD/def ld/sf/setfont ld /scf/scf2pass ld sfcl{ %%BeginFeature: *InputSlot OnlyOne %%EndFeature }efcl sfcl{ %%BeginFeature: *Resolution 600dpi 1 dict dup /HWResolution [600 600] put setpagedevice %%EndFeature }efcl sfcl{ %%BeginFeature: *PageRegion Letter 2 dict dup 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def/currency 188 def/guilsinglleft 189 def/guilsinglright 190 def /fi 191 def/fl 192 def/daggerdbl 193 def/periodcentered 194 def/quotesinglbase 195 def/quotedblbase 196 def/perthousand 197 def/Acircumflex 198 def /Ecircumflex 199 def/Aacute 200 def/Edieresis 201 def/Egrave 202 def/Iacute 203 def/Icircumflex 204 def/Idieresis 205 def/Igrave 206 def /Oacute 207 def/Ocircumflex 208 def/Ograve 209 def/Uacute 210 def/Ucircumflex 211 def/Ugrave 212 def/dotlessi 213 def/circumflex 214 def /tilde 215 def/macron 216 def/breve 217 def/dotaccent 218 def/ring 219 def/cedilla 220 def/hungarumlaut 221 def/ogonek 222 def /caron 223 def/Scaron 224 def/scaron 225 def/brokenbar 226 def/Eth 227 def/eth 228 def/Yacute 229 def/yacute 230 def /Thorn 231 def/thorn 232 def/multiply 233 def/onesuperior 234 def/twosuperior 235 def/threesuperior 236 def/onehalf 237 def/onequarter 238 def /threequarters 239 def end readonly def %endsfnt %beginsfntBC truedictknown type42known not and ( %endsfntBC)exch fcheckload 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This is the province of )J f214 sf .759(schedulers.)A endp showpage %%Page: 2 2 %%BeginPageSetup initializepage (Matt Bishop; page: 2 of 19)setjob %%EndPageSetup gS 0 0 552 730 rC f138 sf 60 17 :M 2.096 .21(COSC 58 \(Operating Systems\))J 372 17 :M 3.604 .36(Process Scheduling)J 60 722 :M 3.312 .331(October 16, 1992)J 484 722 :M (2)S f184 sf 237 53 :M 1.193(Schedulers)A f227 sf 12.48 u227 :p 237 0 78 730 rC 237 53 :M 75 :m 1.402 .14( )J 310 53 :M 10 :m 1.46 .146( )J gR f138 sf gS 0 0 552 730 rC 60 83 :M 3.024 .302(Three kinds:)J 60 98 :M (\245)S f214 sf 78 98 :M 5.887 .589(long-term scheduler)J f138 sf 3.27 .327( determines which jobs are admitted to the)J 78 113 :M 4.415 .441(system for processing)J f214 sf 78 128 :M .885(example)A f138 sf 2.591 .259(: in a batch system, often more jobs are submitted than)J 78 143 :M 1.714 .171(can be done at once, so some are spooled out to a mass storage)J 78 158 :M 2.888 .289(device; the long-term scheduler selects the next one to be loaded)J 78 173 :M 3.02 .302(into memory. So it controls the degree of multiprogramming, )J f214 sf .598(i.e.)A f138 sf (,)S 78 188 :M 2.594 .259(the number of processes in memory.)J 60 203 :M (\245)S f214 sf 78 203 :M 5.802 .58(short-term scheduler)J f138 sf 3.108 .311( determines which job in memory \()J f214 sf .633(i.e.)A f138 sf 2.11 .211(, in the)J 78 218 :M 1.944 .194(ready queue\) goes next)J 60 233 :M (\245)S f214 sf 78 233 :M 5.238 .524(medium-term scheduler)J f138 sf 2.306 .231(: at times jobs may have to be removed)J 78 248 :M 3.177 .318(from the system temporarily; that is, too many jobs may be)J 78 263 :M 3.088 .309(competing for memory. The removed process will be restarted)J 78 278 :M 2.768 .277(where it left off later; called )J f214 sf 1.105(swapping)A f138 sf 3.615 .362(. This scheduler decides)J 78 293 :M 2.068 .207(who gets swapped out and in.)J 78 323 :M 2.825 .282(The )J 3.879 .388(long term scheduler is invoked relatively infrequently, but)J 60 338 :M 2.336 .234(the short term one is invoked often \321 whenever )J f214 sf .799(any)A f138 sf 3.047 .305( process returns)J 60 353 :M 3.351 .335(control to the operating system. Hence the short-term scheduler)J 60 368 :M 2.698 .27(must be )J .931(very)A .498 .05( )J 1.059(fast)A f240 sf 12.48 u240 :p 113 0 27 730 rC 113 368 :M 24 :m .492 .049( )J 136 368 :M 8 :m .507 .051( )J gR gS 0 0 552 730 rC 170 368 :M 2.971 .297(. \(Context switching also must be very fast)J (;)S f240 sf 12.48 u240 :p 144 0 26 730 rC 144 368 :M 24 :m .492 .049( )J 166 368 :M 8 :m .507 .051( )J gR gS 0 0 552 730 rC 60 383 :M 3.284 .328(typically, 10)J cF f274 sf .328(m)A setfont 3.284 .328(s to 100)J cF f274 sf .328(m)A setfont 3.284 .328(s. Many machines have special-purpose)J 60 398 :M 3.27 .327(instructions, like the VAX LDCTX, for just this reason.\))J 78 413 :M 2.399 .24(The system should try to balance CPU-bound and I/O-bound jobs.)J endp showpage %%Page: 3 3 %%BeginPageSetup initializepage (Matt Bishop; page: 3 of 19)setjob %%EndPageSetup gS 0 0 552 730 rC f138 sf 60 17 :M 2.096 .21(COSC 58 \(Operating Systems\))J 372 17 :M 3.604 .36(Process Scheduling)J 60 722 :M 3.312 .331(October 16, 1992)J 484 722 :M (3)S f184 sf 132 53 :M 6.397 .64(Scheduling Considerations and Overview)J f227 sf 12.48 u227 :p 132 0 289 730 rC 132 53 :M 160 :m 1.393 .139( )J 125 :m 1.398 .14( )J 416 53 :M 10 :m 1.46 .146( )J gR f138 sf gS 0 0 552 730 rC 78 83 :M 1.726 .173(These choose which process goes next. Which one is used depends)J 60 98 :M 2.946 .295(on what is wanted from the system; possible measures are:)J 60 113 :M (\245)S f214 sf 78 113 :M .805(throughput)A f138 sf 2.308 .231(; get the most work done in a given time)J 60 128 :M (\245)S f214 sf 78 128 :M .781(turnaround)A f138 sf 2.686 .269(; complete jobs as soon as possible after submission)J 60 143 :M (\245)S f214 sf 78 143 :M .931(response)A f138 sf 2.819 .282(; minimize the amount of time from submission to the)J 78 158 :M 3.44 .344(first response \(called the )J f214 sf 5.633 .563(response time)J f138 sf 2.885 .288(\); this interval does )J f214 sf 1.434(not)A f138 sf 78 173 :M 3.163 .316(include the time to output the response)J 60 188 :M (\245)S f214 sf 78 188 :M 3.307 .331(resource use)J f138 sf 1.959 .196(; keep each type of resource assigned to some)J 78 203 :M 2.789 .279(process as much as possible, but avoid waiting too long for)J 78 218 :M 5.128 .513(certain resources.)J 60 233 :M (\245)S f214 sf 78 233 :M 5.3 .53(waiting time)J f138 sf 3.204 .32(; minimize the amount of time the process sits in)J 78 248 :M 2.008 .201(the ready queue)J 60 263 :M (\245)S f214 sf 78 263 :M 1.005(consistency)A f138 sf 3.437 .344(; treat processes with given characteristics in a)J 78 278 :M 3.584 .358(predictable manner that doesn't vary greatly over time.)J 60 293 :M 2.617 .262(In the process of scheduling, the processes being considered must be)J 60 308 :M 2.962 .296(distinguished upon many parameters, among them)J 78 323 :M 1.653(priority)A 78 338 :M 3.87 .387(anticipated resource need \(including running time\))J 78 353 :M 3.03 .303(running time, resources used so far)J 78 368 :M 1.264(interactive/non-interactive)A 78 383 :M 3.687 .369(frequency of I/O requests)J 78 398 :M 4.513 .451(time spent waiting for service)J 60 413 :M 3.419 .342(To demonstrate how algorithms work, we'll use this set of jobs:)J 218 428 :M 6.411 .641(Arrival Time)J 325 428 :M 4.385 .438(Service Time)J 164 443 :M (A)S 254 443 :M (0)S 354 443 :M 2.125(10)A 164 458 :M (B)S 254 458 :M (1)S 354 458 :M 2.125(29)A 164 473 :M (C)S 254 473 :M (2)S 362 473 :M (3)S 164 488 :M (D)S 254 488 :M (3)S 362 488 :M (7)S 165 503 :M (E)S 254 503 :M (4)S 354 503 :M 2.125(12)A 60 518 :M 3.045 .304(and measure 3 quantities:)J 60 533 :M (\245)S 78 533 :M 3.241 .324(turnaround time: time the process is present in the system)J 184 548 :M 3.811 .381(T = finish time - arrival time)J 60 563 :M (\245)S 78 563 :M 3.216 .322(waiting time: time the process is present and not running)J 212 578 :M 2.425 .243(W = T - service time)J 60 593 :M (\245)S 78 593 :M 4.188 .419(response ratio \(sometimes called the \322penalty ratio\323\): the factor)J 78 608 :M 2.955 .296(by which the processing rate is reduced, from the user's point of)J 78 623 :M 1.144(view:)A 217 647 :M -.077(R = )A 281 638 :M (T)S 240 654 :M 1.748(\312service\312time)A 92 240 641.5 @c 331 647 :M .533 .053( )J endp showpage %%Page: 4 4 %%BeginPageSetup initializepage (Matt Bishop; page: 4 of 19)setjob %%EndPageSetup gS 0 0 552 730 rC f138 sf 60 17 :M 2.096 .21(COSC 58 \(Operating Systems\))J 372 17 :M 3.604 .36(Process Scheduling)J 60 722 :M 3.312 .331(October 16, 1992)J 484 722 :M (4)S f184 sf 122 53 :M 7.852 .785(Characterization of Scheduling Algorithms)J f227 sf 12.48 u227 :p 122 0 308 730 rC 122 53 :M 160 :m 1.393 .139( )J 145 :m 1.398 .14( )J 425 53 :M 10 :m 1.46 .146( )J gR f214 sf gS 0 0 552 730 rC 60 83 :M 3.435 .344(decision mode)J f138 sf 78 98 :M 2.424 .242(This is )J f214 sf 1.064(non-preemptive)A f138 sf 2.731 .273( if a process runs until it blocks or)J 60 113 :M 3.526 .353(completes; at no time during its run will the operating system)J 60 128 :M 2.721 .272(replace it with another job. It is )J f214 sf 1.11(preemptive)A f138 sf 3.683 .368( if the operating system)J 60 143 :M 3.453 .345(can interrupt the currently running process to start another one.)J f214 sf 60 158 :M 7.85 .785(priority function)J f138 sf 78 173 :M 3.508 .351(This is a mathematical )J 3.688 .369(function which assigns a priority to the)J 60 188 :M 3.604 .36(process; the process with the highest \(numerical\) priority goes next.)J 60 203 :M 3.295 .329(The function usually involves the service time so far )J f214 sf 1.141(a)A f138 sf 2.825 .283(, the real time)J 60 218 :M 2.78 .278(spent in the system so far )J f214 sf .69(r)A f138 sf 3.05 .305(, and the total required service time )J f214 sf .576(t)A f138 sf (.)S f214 sf 60 233 :M 7.307 .731(arbitration rule)J f138 sf 78 248 :M 3.198 .32(If two processes have the same priority, this rule states how one)J 60 263 :M 2.914 .291(of them is selected to run.)J endp showpage %%Page: 5 5 %%BeginPageSetup initializepage (Matt Bishop; page: 5 of 19)setjob %%EndPageSetup gS 0 0 552 730 rC f138 sf 60 17 :M 2.096 .21(COSC 58 \(Operating Systems\))J 372 17 :M 3.604 .36(Process Scheduling)J 60 722 :M 3.312 .331(October 16, 1992)J 484 722 :M (5)S f184 sf 180 53 :M 6.768 .677(The Scheduling Algorithms)J f227 sf 12.48 u227 :p 180 0 192 730 rC 180 53 :M 160 :m 1.393 .139( )J 30 :m 1.415 .141( )J 367 53 :M 10 :m 1.46 .146( )J gR f214 sf gS 0 0 552 730 rC 60 83 :M 2.495 .249(First Come, First Served \(FCFS\))J f138 sf 96 98 :M 3.082 .308(decision mode:)J 213 98 :M .871(non-preemptive)A 96 113 :M 7.386 .739(priority function:)J 213 113 :M 2.067 .207(p\(a, r, t\) = r)J 96 128 :M 6.846 .685(arbitration rule:)J 213 128 :M .541(random)A 109 131 54 15 rC 114 143 :M 1.08(service)A gR f138 sf gS 0 0 552 730 rC 123 158 :M 1.811(time)A 170 143 :M 1.507(arrival)A 177 158 :M 1.811(time)A 229 143 :M 1.934(start)A 271 131 54 15 rC 281 143 :M 1.576(finish)A gR gS 0 0 552 730 rC 349 143 :M (T)S 402 143 :M (W)S 457 143 :M (R)S 79 173 :M (A)S 129 173 :M 2.125(10)A 182 173 :M (0)S 236 173 :M (0)S 287 173 :M 2.125(10)A 341 173 :M 2.125(10)A 403 173 :M (0)S 457 173 :M .829(1.0)A 79 188 :M (B)S 129 188 :M 2.125(29)A 182 188 :M (1)S 228 188 :M 2.125(10)A 287 188 :M 2.125(39)A 341 188 :M 2.125(38)A 403 188 :M (9)S 457 188 :M .829(1.3)A 79 203 :M (C)S 137 203 :M (3)S 182 203 :M (2)S 228 203 :M 2.125(39)A 287 203 :M 2.125(42)A 341 203 :M 2.125(40)A 395 203 :M 2.125(37)A 449 203 :M .907(13.3)A 79 218 :M (D)S 137 218 :M (7)S 182 218 :M (3)S 228 218 :M 2.125(42)A 287 218 :M 2.125(49)A 341 218 :M 2.125(46)A 395 218 :M 2.125(39)A 457 218 :M .829(6.6)A 80 233 :M (E)S 129 233 :M 2.125(12)A 182 233 :M (4)S 228 233 :M 2.125(49)A 287 233 :M 2.125(61)A 341 233 :M 2.125(57)A 395 233 :M 2.125(45)A 457 233 :M .829(4.8)A f214 sf 67 248 :M .265(mean)A f138 sf 341 248 :M .907(38.2)A 395 248 :M 2.125(26)A 457 248 :M .829(5.4)A 60 263 :M 2.673 .267(A potential problem is when a short job )J 2.658 .266(follows a long one:)J 109 266 54 15 rC 114 278 :M 1.08(service)A gR gS 0 0 552 730 rC 123 293 :M 1.811(time)A 170 278 :M 1.507(arrival)A 177 293 :M 1.811(time)A 229 278 :M 1.934(start)A 271 266 54 15 rC 281 278 :M 1.576(finish)A gR gS 0 0 552 730 rC 349 278 :M (T)S 402 278 :M (W)S 463 278 :M (R)S 77 308 :M 1.293(A')A 114 308 :M 1.416(1000)A 182 308 :M (0)S 250 308 :M (0)S 276 308 :M 1.416(1000)A 330 308 :M 1.416(1000)A 403 308 :M (0)S 470 308 :M .829(1.0)A 78 323 :M .293(B')A 137 323 :M (1)S 182 323 :M (1)S 226 323 :M 1.416(1000)A 276 323 :M 1.416(1001)A 330 323 :M 1.416(1000)A 387 323 :M 1.593(999)A 446 323 :M .969(1000.0)A 78 353 :M 3.354 .335(Gantt Chart:)J :ckcs 1 G 60 356 468 59 rC 72 376 73 37 rF :ckcs 0 G 72.5 376.5 72 36 rS :ckcs 1 G 144 376 208 37 rF :ckcs 0 G 144.5 376.5 207 36 rS :ckcs 1 G 351 376 28 37 rF :ckcs 0 G 351.5 376.5 27 36 rS :ckcs 1 G 378 376 55 37 rF :ckcs 0 G 378.5 376.5 54 36 rS :ckcs 1 G 432 376 82 37 rF :ckcs 0 G 432.5 376.5 81 36 rS 105 398 :M (A)S 240 397 :M (B)S 363 397 :M (C)S 399 397 :M (D)S 469 397 :M (E)S 69 371 :M (0)S 136 371 :M 2.125(10)A 343 371 :M 2.125(39)A 370 371 :M 2.125(42)A 424 371 :M 2.125(49)A 505 371 :M 2.125(61)A gR gS 0 0 552 730 rC 60 427 :M 2.179 .218(Basically, long processes love FCFS, but short ones seem to be much)J 60 442 :M 1.081(slower.)A endp showpage %%Page: 6 6 %%BeginPageSetup initializepage (Matt Bishop; page: 6 of 19)setjob %%EndPageSetup gS 0 0 552 730 rC f138 sf 60 17 :M 2.096 .21(COSC 58 \(Operating Systems\))J 372 17 :M 3.604 .36(Process Scheduling)J 60 722 :M 3.312 .331(October 16, 1992)J 484 722 :M (6)S f214 sf 60 53 :M 2.941 .294(Shortest Job Next \(SJN\), Shortest Job First \(SJF\), Shortest Process)J 60 68 :M 1.534 .153(Next \(SPN\))J f138 sf 78 83 :M 2.987 .299(As an estimate of the total service time )J 3.918 .392(neded is required, this)J 60 98 :M 3.387 .339(algorithm is usually used in batch systems.)J 96 113 :M 3.082 .308(decision mode:)J 213 113 :M .871(non-preemptive)A 96 128 :M 7.386 .739(priority function:)J 213 128 :M 1.982 .198(p\(a, r, t\) = \320t)J 96 143 :M 6.846 .685(arbitration rule:)J 213 143 :M 3.851 .385(chronological or random)J 109 146 54 15 rC 114 158 :M 1.08(service)A gR f138 sf gS 0 0 552 730 rC 123 173 :M 1.811(time)A 170 158 :M 1.507(arrival)A 177 173 :M 1.811(time)A 229 158 :M 1.934(start)A 271 146 54 15 rC 281 158 :M 1.576(finish)A gR gS 0 0 552 730 rC 349 158 :M (T)S 402 158 :M (W)S 457 158 :M (R)S 79 188 :M (A)S 129 188 :M 2.125(10)A 182 188 :M (0)S 236 188 :M (0)S 287 188 :M 2.125(10)A 341 188 :M 2.125(10)A 403 188 :M (0)S 457 188 :M .829(1.0)A 79 203 :M (B)S 129 203 :M 2.125(29)A 182 203 :M (1)S 228 203 :M 2.125(32)A 287 203 :M 2.125(61)A 341 203 :M 2.125(60)A 395 203 :M 2.125(31)A 457 203 :M .829(2.1)A 79 218 :M (C)S 137 218 :M (3)S 182 218 :M (2)S 228 218 :M 2.125(10)A 287 218 :M 2.125(13)A 341 218 :M 2.125(11)A 403 218 :M (8)S 457 218 :M .829(3.7)A 79 233 :M (D)S 137 233 :M (7)S 182 233 :M (3)S 228 233 :M 2.125(13)A 287 233 :M 2.125(20)A 341 233 :M 2.125(17)A 395 233 :M 2.125(39)A 457 233 :M .829(2.4)A 80 248 :M (E)S 129 248 :M 2.125(12)A 182 248 :M (4)S 228 248 :M 2.125(20)A 287 248 :M 2.125(32)A 341 248 :M 2.125(28)A 395 248 :M 2.125(10)A 457 248 :M .829(2.3)A f214 sf 67 263 :M .265(mean)A f138 sf 341 263 :M .907(25.2)A 395 263 :M .907(17.6)A 457 263 :M .829(2.3)A f287 sf 60 278 :M .84(Claim)A f300 sf .429(:)A f138 sf 2.596 .26( Shortest Job )J 3.692 .369(First gives the smallest average turnaround time)J 60 293 :M 4.23 .423(T out of all non-preemptive priority functions.)J f287 sf 60 308 :M .716(Proof)A f300 sf .381(:)A f138 sf 2.296 .23( Suppose n jobs arrive at the same time, with t)J f313 sf 0 2 rm .686(1)A 0 -2 rm f138 sf .948 .095( )J cF f274 sf .095(\243)A setfont .948 .095( t)J f313 sf 0 2 rm .686(2)A 0 -2 rm f138 sf 1.196 .12( )J cF f274 sf .12(\243)A setfont 1.196 .12( \311 )J cF f274 sf .12(\243)A setfont 1.196 .12( t)J f313 sf 0 2 rm .686(n)A 0 -2 rm f138 sf (.)S 60 324 :M 2.579 .258(Then )J .616(T\(t)A f313 sf 0 2 rm .631(1)A 0 -2 rm f138 sf 1.059 .106(\) = t)J f313 sf 0 2 rm .631(1)A 0 -2 rm f138 sf 1.793 .179(, T\(t)J f313 sf 0 2 rm .631(2)A 0 -2 rm f138 sf 1.059 .106(\) = t)J f313 sf 0 2 rm .631(1)A 0 -2 rm f138 sf .894 .089( + t)J f313 sf 0 2 rm .631(2)A 0 -2 rm f138 sf 2.757 .276(, \311, hence the average turnaround time)J 60 340 :M 2.99(is)A 243 361 :M 1.303(T)A f300 sf 0 3 rm .938(av)A 0 -3 rm f138 sf 1.057 .106( = )J f326 sf 1.82(S)A f339 sf 0 3 rm .74 .074(i )J 0 -3 rm f214 sf .533(it)A f339 sf 0 3 rm (i)S 0 -3 rm f138 sf 60 379 :M 1.79 .179(Now suppose t)J f313 sf 0 2 rm .372(a)A 0 -2 rm f138 sf .859 .086( and t)J f313 sf 0 2 rm .372(b)A 0 -2 rm f138 sf 1.241 .124(, a < b, are swapped. The new average)J 60 395 :M 4.127 .413(turnaround time is:)J 69 398 414 38 rC 82 421 :M .533 .053( )J 82 421 :M .388(T)A .121(')A f300 sf 0 7 rm .294(a)A 0 -7 rm 0 7 rm .264(v)A 0 -7 rm f138 sf .16 .016( )J .371(=)A .176 .018( )J .429 lw 10.429 119 417.214 @c 120 431 :M (n)S 120 415 :M (1)S 129 421 :M .322 .032( )J .424<28>A .708(n)A .354(t)A f300 sf 0 7 rm .59(1)A 0 -7 rm f138 sf .322 .032( )J .744(+)A .322 .032( )J .424<28>A .708(n)A .424(-)A .708(1)A .424<29>A .354(t)A f300 sf 0 7 rm .59(2)A 0 -7 rm f138 sf .322 .032( )J .744(+)A .322 .032( )J 1.274(\311)A .322 .032( )J .744(+)A .322 .032( )J .424<28>A .708(n)A .424(-)A .708(a)A .744(+)A .708(1)A .424<29>A .354(t)A f300 sf 0 7 rm .59(b)A 0 -7 rm f138 sf .322 .032( )J .744(+)A .322 .032( )J 1.274(\311)A .322 .032( )J .744(+)A .322 .032( )J .424<28>A .708(n)A .424(-)A .708(b)A .744(+)A .708(1)A .424<29>A .354(t)A f300 sf 0 7 rm .59(a)A 0 -7 rm f138 sf .322 .032( )J .744(+)A .322 .032( )J 1.274(\311)A .322 .032( )J .744(+)A .322 .032( )J .354(t)A f300 sf 0 7 rm .59(n)A 0 -7 rm f138 sf <29>S gR gS 0 0 552 730 rC 60 448 :M .822(so)A 69 451 414 38 rC 91 474 :M .533 .053( )J 91 474 :M .716(T)A .224(')A f300 sf 0 7 rm .543(a)A 0 -7 rm 0 7 rm .489(v)A 0 -7 rm f138 sf .296 .03( )J .39(-)A .296 .03( )J .716(T)A f300 sf 0 7 rm .543(a)A 0 -7 rm 0 7 rm .489(v)A 0 -7 rm f138 sf .296 .03( )J .685(=)A .326 .033( )J .429 lw 10.429 162 470.214 @c 163 484 :M (n)S 163 468 :M (1)S 172 474 :M .627 .063( )J .827<28>A .827<28>A 1.381(n)A .827(-)A 1.381(a)A 1.451(+)A 1.381(1)A .827<29>A .69(t)A f300 sf 0 7 rm 1.151(b)A 0 -7 rm f138 sf .627 .063( )J (-)S 254 474 :M .653<28>A 1.09(n)A .653(-)A 1.09(b)A 1.145(+)A 1.09(1)A .653<29>A .545(t)A f300 sf 0 7 rm .909(a)A 0 -7 rm f138 sf .495 .05( )J 1.145(+)A .495 .05( )J .653<28>A 1.09(n)A .653(-)A 1.09(a)A 1.145(+)A 1.09(1)A .653<29>A .545(t)A f300 sf 0 7 rm .909(a)A 0 -7 rm f138 sf .495 .05( )J .653(-)A .495 .05( )J .653<28>A 1.09(n)A .653(-)A 1.09(b)A 1.145(+)A 1.09(1)A .653<29>A .545(t)A f300 sf 0 7 rm .909(b)A 0 -7 rm f138 sf <29>S gR gS 0 0 552 730 rC 60 501 :M .094(and)A 60 504 414 38 rC 86 527 :M .533 .053( )J 86 527 :M .716(T)A .224(')A f300 sf 0 7 rm .543(a)A 0 -7 rm 0 7 rm .489(v)A 0 -7 rm f138 sf .296 .03( )J .39(-)A .296 .03( )J .716(T)A f300 sf 0 7 rm .543(a)A 0 -7 rm 0 7 rm .489(v)A 0 -7 rm f138 sf .296 .03( )J .685(=)A .326 .033( )J .429 lw 10.429 157 523.214 @c 158 537 :M (n)S 158 521 :M (1)S 167 527 :M .746 .075( )J .983<28>A 1.642(b)A .983(-)A 1.642(a)A .983<29>A .983<28>A .821(t)A f300 sf 0 7 rm 1.368(b)A 0 -7 rm f138 sf .983(-)A .821(t)A f300 sf 0 7 rm (a)S 0 -7 rm f138 sf 239 527 :M .404<29>A .306 .031( )J cF f274 sf .666(\263)A setfont .306 .031( )J .674(0)A .306 .031( )J .306 .031( )J .674(b)A .674(e)A .606(c)A .674(a)A .674(u)A .606(s)A .674(e)A .306 .031( )J .674(b)A .306 .031( )J cF f274 sf .666(\263)A setfont .306 .031( )J .674(a)A .306 .031( )J .269(i)A 1.01(m)A .674(p)A .269(l)A .269(i)A .674(e)A .606(s)A .337 .034( )J 408 527 :M .412(t)A f300 sf 0 7 rm .688(b)A 0 -7 rm f138 sf .375 .037( )J cF f274 sf .815(\263)A setfont .375 .037( )J .412(t)A f300 sf 0 7 rm .688(a)A 0 -7 rm f138 sf (.)S gR f214 sf gS 0 0 552 730 rC 60 554 :M .865(Problem)A f138 sf 2.361 .236(: need to know service times into the future so you can run)J 60 569 :M 2.707 .271(the process with the shortest next CPU burst. How does the short-)J 60 584 :M 2.259 .226(term scheduler choose the next process to run? It can use a number)J 60 599 :M 5.051 .505(of different ways:)J 60 614 :M (\245)S 78 614 :M 2.69 .269(Most accurate is to run all ready processes, time the CPU bursts,)J 78 629 :M 2.45 .245(and then schedule them \()J f214 sf .629(snicker)A f138 sf <29>S 60 644 :M (\245)S 78 644 :M 2.57 .257(Characterize each process as CPU-bound or I/O-bound, and specify)J 78 659 :M 2.716 .272(for each an \322average service time needed\323 based upon timing)J 78 674 :M 2.396 .24(processes over a period of time and averaging. Note that)J endp showpage %%Page: 7 7 %%BeginPageSetup initializepage (Matt Bishop; page: 7 of 19)setjob %%EndPageSetup gS 0 0 552 730 rC f138 sf 60 17 :M 2.096 .21(COSC 58 \(Operating Systems\))J 372 17 :M 3.604 .36(Process Scheduling)J 60 722 :M 3.312 .331(October 16, 1992)J 484 722 :M (7)S 78 53 :M 3.331 .333(characteristics might change over a period of time; that is, a)J 78 68 :M 2.426 .243(process might be CPU-bound for a time, then I/O-bound, then CPU-)J 78 83 :M 2.132 .213(bound, etc.)J 60 98 :M (\245)S 78 98 :M 3.642 .364(Compute th)J 2.273 .227(e expected time of the next CPU-burst as an)J 78 113 :M 2.878 .288(exponential average of previous CPU-bursts of the process. Let t)J f313 sf 0 2 rm (n)S 0 -2 rm f138 sf 78 129 :M 1.983 .198(be the length of the n-)J 2.111 .211(th CPU burst, and )J f384 sf .398(t)A f313 sf 0 2 rm .631(n+1)A 0 -2 rm f138 sf 2.735 .274( the expected length)J 78 145 :M 3.116 .312(of the next burst; then)J f384 sf 223 160 :M .39(t)A f313 sf 0 2 rm .618(n+1)A 0 -2 rm f138 sf .723 .072( = )J f384 sf .622(a)A f138 sf .405(t)A f313 sf 0 2 rm .608(n)A 0 -2 rm f138 sf 1.324 .132( + \(1-)J f384 sf .622(a)A f138 sf .485<29>A f384 sf .39(t)A f313 sf 0 2 rm (n)S 0 -2 rm f138 sf 78 176 :M 3.364 .336(where )J f384 sf .766(a)A f138 sf 2.901 .29( is a parameter indicating how much to count past history)J 78 197 :M 2.422 .242(\(usually chosen around )J f313 sf 0 -8 rm (1)S 0 8 rm 223 202 :M (2)S 7 223 191.5 @c f138 sf 229 197 :M .571 .057( )J <29>S f384 sf 78 216 :M .304(a)A f138 sf .526 .053( = 1)J 132 216 :M 3.111 .311(the estimate is simply the length of the last CPU burst)J f384 sf 78 231 :M .304(a)A f138 sf .526 .053( = 0)J 132 231 :M 4.352 .435(the estimate is the initial estimate holds)J 78 234 406 320 rC 217 144.5 255 @w 307 144 471.5 @c 127 259 :M 2.125(12)A 127 295 :M 2.125(10)A 132 331 :M (8)S 132 367 :M (6)S 132 403 :M (4)S 132 439 :M (2)S 132 475 :M (0)S 141 484 :M (0)S 177 484 :M (1)S 213 484 :M (2)S 249 484 :M (3)S 285 484 :M (4)S 321 484 :M (5)S 357 484 :M (6)S 393 484 :M (7)S 429 484 :M (8)S 87 340 :M 1.316(burst)A 84 356 :M 1.002(length)A 37 144 363.5 @c 37 180.5 363 @w 37 180 399.5 @c 37 216.5 363 @w 37 216 363.5 @c 37 252.5 363 @w 37 252 399.5 @c 163 288.5 237 @w 145 288 237.5 @c 307 421 :M 1.142(actual)A 10 -3 45 262 399 @k 268 403 -1 1 307 417 1 268 402 @a :a 48fg bk :b 144 292 -1 1 181 327 1 144 291 @a 180 328 -1 1 217 363 1 180 327 @a 252 364 -1 1 289 381 1 252 363 @a -1 -1 289 382 1 1 324 309 @b -1 -1 325 310 1 1 360 273 @b -1 -1 361 274 1 1 396 255 @b -1 -1 397 256 1 1 432 237 @b :e 325 349 :M :ckcs 0 G 1.114(estimated)A 10 -24 24 307 345 @k 11 314 345.5 @c 100 502 :M (t)S 177 502 :M (6)S 213 502 :M (4)S 249 502 :M (6)S 285 502 :M (4)S 317 502 :M 2.125(13)A 353 502 :M 2.125(13)A 389 502 :M 2.125(13)A 425 502 :M 2.125(13)A 109 511 :M (i)S 100 520 :M (t)S 109 529 :M (i)S 178 520 :M (8)S 214 520 :M (6)S 250 520 :M (6)S 286 520 :M (5)S 322 520 :M (9)S 354 520 :M 2.125(11)A 390 520 :M 2.125(12)A 426 520 :M 2.125(13)A 136 520 :M 2.125(10)A 91 547 :M 3.126 .313(Comparing exponential estimation with actual values: = 1/2)J 433 547 :M (a)S gR f138 sf gS 0 0 552 730 rC 60 566 :M 2.269 .227(SPN is better than FCFS for short jobs, but long jobs may have to)J 60 581 :M 3.913 .391(wait for some time for service.)J 78 596 :M 3.351 .335(The long-term scheduler can simply use the job's time limit as)J 60 611 :M 3.645 .364(specified by the user; this motivates users to be realistic in their)J 60 626 :M 6.006 .601(limits, as:)J 60 641 :M (\245)S 78 641 :M 4.124 .412(limits too low: job aborts with a \322time limit exceeded\323.)J 60 656 :M (\245)S 78 656 :M 2.914 .291(limits too high: the turnaround time may be very long.)J endp showpage %%Page: 8 8 %%BeginPageSetup initializepage (Matt Bishop; page: 8 of 19)setjob %%EndPageSetup gS 0 0 552 730 rC f138 sf 60 17 :M 2.096 .21(COSC 58 \(Operating Systems\))J 372 17 :M 3.604 .36(Process Scheduling)J 60 722 :M 3.312 .331(October 16, 1992)J 484 722 :M (8)S f214 sf 60 53 :M 3.174 .317(Shortest Remaining Time \(SRT\), Preemptive Shortest Process Next)J 60 68 :M -.057(\(PSPN\))A f138 sf 78 83 :M 2.893 .289(This is like SPN, but preemptive.)J 96 98 :M 3.082 .308(decision mode:)J 213 98 :M 5.401 .54(preemptive \(at arrival\))J 96 113 :M 7.386 .739(priority function:)J 213 113 :M 1.957 .196(p\(a, r, t\) = a\320t)J 96 128 :M 6.846 .685(arbitration rule:)J 213 128 :M 3.851 .385(chronological or random)J 109 131 54 15 rC 114 143 :M 1.08(service)A gR f138 sf gS 0 0 552 730 rC 123 158 :M 1.811(time)A 170 143 :M 1.507(arrival)A 177 158 :M 1.811(time)A 229 143 :M 1.934(start)A 271 131 54 15 rC 281 143 :M 1.576(finish)A gR gS 0 0 552 730 rC 349 143 :M (T)S 402 143 :M (W)S 457 143 :M (R)S 79 173 :M (A)S 129 173 :M 2.125(10)A 182 173 :M (0)S 217 161 54 15 rC 232 173 :M 3.037 .304(0, 12)J gR gS 271 161 54 15 rC 291 173 :M 3.037 .304(2, 20)J gR gS 0 0 552 730 rC 341 173 :M 2.125(20)A 395 173 :M 2.125(10)A 457 173 :M .829(2.0)A 79 188 :M (B)S 129 188 :M 2.125(29)A 182 188 :M (1)S 228 188 :M 2.125(32)A 287 188 :M 2.125(61)A 341 188 :M 2.125(60)A 395 188 :M 2.125(31)A 457 188 :M .829(2.1)A 79 203 :M (C)S 137 203 :M (3)S 182 203 :M (2)S 236 203 :M (2)S 295 203 :M (5)S 349 203 :M (3)S 403 203 :M (0)S 457 203 :M .829(1.0)A 79 218 :M (D)S 137 218 :M (7)S 182 218 :M (3)S 236 218 :M (5)S 287 218 :M 2.125(12)A 349 218 :M (9)S 403 218 :M (2)S 457 218 :M .829(1.3)A 80 233 :M (E)S 129 233 :M 2.125(12)A 182 233 :M (4)S 228 233 :M 2.125(20)A 287 233 :M 2.125(32)A 341 233 :M 2.125(28)A 395 233 :M 2.125(16)A 457 233 :M .829(2.3)A f214 sf 67 248 :M .265(mean)A f138 sf 341 248 :M 2.125(24)A 395 248 :M .907(11.8)A 433 236 54 15 rC 457 248 :M .907(1.74)A gR gS 0 0 552 730 rC 60 263 :M .576(Miscellaneous:)A 60 278 :M (\245)S 78 278 :M 2.642 .264(Whenever a new job comes in, check the remaining service time)J 78 293 :M 3.009 .301(on the current job.)J 60 308 :M (\245)S 78 308 :M 2.537 .254(For all but the longest jobs, SRT better than SJF)J 60 323 :M (\245)S 78 323 :M 2.814 .281(The response ratio is good \(low\))J 60 338 :M (\245)S 78 338 :M 3.45 .345(Waiting time is also quite low for most processes.)J endp showpage %%Page: 9 9 %%BeginPageSetup initializepage (Matt Bishop; page: 9 of 19)setjob %%EndPageSetup gS 0 0 552 730 rC f138 sf 60 17 :M 2.096 .21(COSC 58 \(Operating Systems\))J 372 17 :M 3.604 .36(Process Scheduling)J 60 722 :M 3.312 .331(October 16, 1992)J 484 722 :M (9)S f214 sf 60 53 :M 1.087 .109(Highest Response Ratio Next \(HRRN, HRN\))J f138 sf 78 68 :M 3.307 .331(This tries to level out bias towards long or short jobs)J 96 83 :M 3.082 .308(decision mode:)J 213 83 :M .871(non-preemptive)A 96 98 :M 7.386 .739(priority function:)J 213 98 :M 2.448 .245(p\(a, r, t\) = a/c)J 96 113 :M 6.846 .685(arbitration rule:)J 213 113 :M 1.29 .129(random or FIFO)J 109 116 54 15 rC 114 128 :M 1.08(service)A gR f138 sf gS 0 0 552 730 rC 123 143 :M 1.811(time)A 170 128 :M 1.507(arrival)A 177 143 :M 1.811(time)A 229 128 :M 1.934(start)A 271 116 54 15 rC 281 128 :M 1.576(finish)A gR gS 0 0 552 730 rC 349 128 :M (T)S 402 128 :M (W)S 457 128 :M (R)S 79 158 :M (A)S 129 158 :M 2.125(10)A 182 158 :M (0)S 236 158 :M (0)S 287 158 :M 2.125(10)A 341 158 :M 2.125(20)A 395 158 :M 2.125(10)A 457 158 :M .829(2.0)A 79 173 :M (B)S 129 173 :M 2.125(29)A 182 173 :M (1)S 228 173 :M 2.125(32)A 287 173 :M 2.125(61)A 341 173 :M 2.125(60)A 395 173 :M 2.125(31)A 457 173 :M .829(2.1)A 79 188 :M (C)S 137 188 :M (3)S 182 188 :M (2)S 236 188 :M (2)S 295 188 :M (5)S 349 188 :M (3)S 403 188 :M (0)S 457 188 :M .829(1.0)A 79 203 :M (D)S 137 203 :M (7)S 182 203 :M (3)S 236 203 :M (5)S 287 203 :M 2.125(12)A 349 203 :M (9)S 403 203 :M (2)S 457 203 :M .829(1.3)A 80 218 :M (E)S 129 218 :M 2.125(12)A 182 218 :M (4)S 228 218 :M 2.125(20)A 287 218 :M 2.125(32)A 341 218 :M 2.125(28)A 395 218 :M 2.125(16)A 457 218 :M .829(2.3)A f214 sf 67 233 :M .265(mean)A f138 sf 341 233 :M .907(25.2)A 395 233 :M 2.125(13)A 457 233 :M .829(2.3)A 60 248 :M 2.247 .225(Why? Here are the response ratios as each process completes:)J 71 263 :M 1.811(time)A 146 263 :M (A)S 222 263 :M (B)S 297 263 :M (C)S 369 263 :M (D)S 445 263 :M (E)S 77 278 :M 2.125(10)A f313 sf 199 276 :M .975(29+9)A 205 289 :M 1.593(29)A 25 199 278.5 @c f138 sf 223 284 :M .213 .021( )J .556(=1.3)A f397 sf 264 266 72 25 rC 274 276 :M 2.564(3+8)A 281 289 :M (3)S 22 274 278.5 @c 295 283 :M .588 .059( )J f184 sf 2.041(=3.7)A gR f313 sf gS 0 0 552 730 rC 350 276 :M 1.064(7+7)A 356 289 :M (7)S 19 350 278.5 @c 368 283 :M .154 .015( )J f138 sf .533(=2.0)A f313 sf 422 276 :M .975(12+6)A 428 289 :M 1.593(12)A 25 422 278.5 @c f138 sf 446 284 :M .213 .021( )J .556(=1.5)A 77 303 :M 2.125(13)A f313 sf 196 301 :M .93(29+12)A 205 314 :M 1.593(29)A 31 196 303.5 @c 226 308 :M .154 .015( )J f138 sf .533(=1.4)A f397 sf 336 291 72 25 rC 342 301 :M 2.308(7+10)A 352 314 :M (7)S 29 342 303.5 @c 370 308 :M .588 .059( )J f184 sf 2.041(=2.4)A gR gS 0 0 552 730 rC 422 301 :M .975(12+9)A 428 314 :M 1.593(12)A 25 422 303.5 @c 446 308 :M .154 .015( )J f138 sf .533(=1.8)A 77 328 :M 2.125(20)A f313 sf 185 316 79 25 rC 196 326 :M .93(29+19)A 205 339 :M 1.593(29)A 31 196 328.5 @c f138 sf 226 334 :M .213 .021( )J .556(=1.7)A gR f397 sf gS 408 316 79 25 rC 414 326 :M 2.18(12+16)A 424 339 :M 3.593(12)A 36 414 328.5 @c f287 sf 449 334 :M .618 .062( )J f184 sf 1.933(=2.3)A gR f138 sf gS 0 0 552 730 rC 77 353 :M 2.125(32)A f397 sf 185 341 79 25 rC 191 351 :M 2.18(29+31)A 201 364 :M 3.593(29)A 36 191 353.5 @c 226 358 :M .588 .059( )J f184 sf 2.041(=2.1)A gR gS 0 0 552 730 rC 60 378 :M 3.385 .339(The ratio used is actually)J 119 393 :M 1.678(estimated\312service\312time\312+\312waiting\312time\312so\312far)A 193 409 :M 1.565(\312estimated\312service\312time)A 312 119 396.5 @c 430 402 :M .533 .053( )J 60 424 :M 2.581 .258(The idea behind this method is to get the mean response ratio low,)J 60 439 :M 2.211 .221(so if a job has a high response ratio, it should be run at once to)J 60 454 :M 1.973 .197(reduce the mean.)J endp showpage %%Page: 10 10 %%BeginPageSetup initializepage (Matt Bishop; page: 10 of 19)setjob %%EndPageSetup gS 0 0 552 730 rC f138 sf 60 17 :M 2.096 .21(COSC 58 \(Operating Systems\))J 372 17 :M 3.604 .36(Process Scheduling)J 60 722 :M 3.312 .331(October 16, 1992)J 476 722 :M 2.125(10)A f214 sf 60 53 :M 1.443 .144(Round Robin \(RR\) with Quantum q)J f138 sf 78 68 :M 3.07 .307(This is especially designed for )J 3.466 .347(time sharing; the quantum is)J 60 92 :M 6.4 .64(typically )J 124 83 :M (1)S 120 99 :M 2.125(60)A 17 120 86.5 @c 136 92 :M .15 .015( )J cF f274 sf .079(\243)A setfont .791 .079( q )J cF f274 sf .079(\243)A setfont .791 .079( 1 seconds.)J 96 114 :M 3.082 .308(decision mode:)J 213 114 :M 4.07 .407(preemptive \(at quantum\))J 96 129 :M 7.386 .739(priority function:)J 213 129 :M 1.862 .186(p\(a, r, t\) = c)J 96 144 :M 6.846 .685(arbitration rule:)J 213 144 :M 1.5(cyclic)A 60 159 :M 2.599 .26(In this example the quantum is 5:)J 109 162 54 15 rC 114 174 :M 1.08(service)A gR f138 sf gS 0 0 552 730 rC 123 189 :M 1.811(time)A 170 174 :M 1.507(arrival)A 177 189 :M 1.811(time)A 229 174 :M 1.934(start)A 271 162 54 15 rC 281 174 :M 1.576(finish)A gR gS 0 0 552 730 rC 349 174 :M (T)S 402 174 :M (W)S 457 174 :M (R)S 79 204 :M (A)S 129 204 :M 2.125(10)A 182 204 :M (0)S 234 204 :M (\311)S 287 204 :M 2.125(28)A 341 204 :M 2.125(28)A 395 204 :M 2.125(18)A 457 204 :M .829(2.8)A 79 219 :M (B)S 129 219 :M 2.125(29)A 182 219 :M (1)S 234 219 :M (\311)S 287 219 :M 2.125(61)A 341 219 :M 2.125(60)A 395 219 :M 2.125(31)A 457 219 :M .829(2.1)A 79 234 :M (C)S 137 234 :M (3)S 182 234 :M (2)S 234 234 :M (\311)S 287 234 :M 2.125(13)A 341 234 :M 2.125(11)A 403 234 :M (8)S 457 234 :M .829(3.7)A 79 249 :M (D)S 137 249 :M (7)S 182 249 :M (3)S 234 249 :M (\311)S 287 249 :M 2.125(35)A 341 249 :M 2.125(32)A 395 249 :M 2.125(25)A 457 249 :M .829(4.6)A 80 264 :M (E)S 129 264 :M 2.125(12)A 182 264 :M (4)S 234 264 :M (\311)S 287 264 :M 2.125(47)A 341 264 :M 2.125(43)A 395 264 :M 2.125(31)A 457 264 :M .829(3.5)A f214 sf 67 279 :M .265(mean)A f138 sf 341 279 :M .907(34.8)A 395 279 :M .907(22.6)A 457 279 :M .829(3.3)A 60 294 :M 2.579 .258(Why? Here is what things look like:)J 60 309 :M 1.811(time)A 96 309 :M 1.066 .107(0 5 10 13 18 23 28 33 35 40 45 47 52 57 61)J 60 324 :M .495(proc)A (.)S 96 324 :M .357 .036(A B C D E A B D E B E B )J .349 .035(B )J (B)S 60 339 :M 1.258(rem)A 96 339 :M 1.33 .133(5 )J .747 .075( 24 0 2 7 0 19 0 2 14 0 9 4 0)J 60 354 :M .7<28>A 3.575 .357(here, \322)J 3.442 .344(proc\323 is the process starting at the indicated time, and)J 60 369 :M .676(\322)A 3.732 .373(rem\323 the remaining time after the quantum is complete.\))J 60 384 :M (\245)S 78 384 :M 2.397 .24(As each process is preempted, it moves to the rear of the queue)J 60 399 :M (\245)S 78 399 :M 2.757 .276(All new arrivals come in at the rear of the queue)J 60 414 :M (\245)S 78 414 :M 1.862 .186(As q )J f384 sf cF f274 sf 1.4(\245)A setfont f138 sf 3.255 .326( 0, every process thinks it is getting constant service from)J 78 429 :M 3.104 .31(a processor that is slower in proportion to the number of)J 78 444 :M 3.092 .309(competing processes; this is called )J f214 sf 4.976 .498(processor sharing)J f138 sf 1.77 .177(. This)J 78 459 :M 2.537 .254(scheme is used in hardware in CDC6600 to implement 10)J 78 474 :M 3.142 .314(peripheral processors with one set of hardware \()J f214 sf .578(i.e.)A f138 sf 4.355 .436(, processor\))J 78 489 :M 3.099 .31(and 10 sets of registers; the processor does 1 instruction for one)J 78 504 :M 2.633 .263(set of registers, then goes on to the next set. \(This turns out to)J 78 519 :M 2.571 .257(be not much slower than a real processor.\))J f214 sf 60 534 :M .902(Variants)A f138 sf (:)S 60 549 :M (\245)S 78 549 :M 3.064 .306(Round Robin, but adjust quantum periodically.)J f214 sf 96 564 :M .806(example)A f138 sf 2.853 .285(: after every process switch, the quantum becomes)J 96 579 :M 2.754 .275(q/n, where n is the number of processes in the ready list)J 96 594 :M (\245)S 114 594 :M 2.406 .241(few ready processes means that each gets a long quantum,)J 114 609 :M 5.352 .535(minimizing process switches.)J 96 624 :M (\245)S 114 624 :M 3.18 .318(a lot of ready processes means that this algorithm gives)J 114 639 :M 2.154 .215(more processes a shot at the CPU over a fixed period of)J 114 654 :M 3.548 .355(time, at the price of more process switching)J 96 669 :M (\245)S 114 669 :M 2.178 .218(processes needing a small amount of CPU time get a)J 114 684 :M 2.454 .245(quantum fairly soon, and hence )J f214 sf .88(may)A f138 sf 2.558 .256( finish sooner.)J endp showpage %%Page: 11 11 %%BeginPageSetup initializepage (Matt Bishop; page: 11 of 19)setjob %%EndPageSetup gS 0 0 552 730 rC f138 sf 60 17 :M 2.096 .21(COSC 58 \(Operating Systems\))J 372 17 :M 3.604 .36(Process Scheduling)J 60 722 :M 3.312 .331(October 16, 1992)J 476 722 :M 2.125(11)A 60 53 :M (\245)S 78 53 :M 2.311 .231(Round Robin, but give the current process an extra quantum when)J 78 68 :M 3.132 .313(a new process arrives)J 96 83 :M 3.235 .323(This reduces process switching in proportion to the number of)J 96 98 :M 5.109 .511(processes arriving.)J endp showpage %%Page: 12 12 %%BeginPageSetup initializepage (Matt Bishop; page: 12 of 19)setjob %%EndPageSetup gS 0 0 552 730 rC f138 sf 60 17 :M 2.096 .21(COSC 58 \(Operating Systems\))J 372 17 :M 3.604 .36(Process Scheduling)J 60 722 :M 3.312 .331(October 16, 1992)J 476 722 :M 2.125(12)A f214 sf 60 53 :M 1.743 .174(Selfish Round Robin \(SRR\) with Parameters a and b and Quantum q)J f138 sf 78 68 :M 2.959 .296(This is like round robin, except )J 4.031 .403(newly-arrived jobs move into the)J f214 sf 60 83 :M 4.602 .46(arrived queue)J f138 sf 1.231 .123( \(or )J f214 sf 4.457 .446(new queue)J f138 sf 2.563 .256(\), and assigned an initial priority of 0.)J 60 98 :M 3.553 .355(Associated with the )J f214 sf 1.013(accepted)A f138 sf 2.789 .279( queue is a single priority. The priority)J 60 113 :M 2.851 .285(of all processes in the new queue increases at rate )J f214 sf 1.057(a)A f138 sf 2.089 .209(; that of all)J 60 128 :M 2.213 .221(processes in the accepted queue increases at rate )J f214 sf .707(b)A f138 sf 1.626 .163(. When the)J 60 143 :M 2.915 .292(priority of a process in the new queue is equal to the priority of the)J 60 158 :M 2.085 .209(accepted queue, the process moves to the accepted queue.)J 96 173 :M 3.082 .308(decision mode:)J 213 173 :M 3.904 .39(preemptive )J 4.237 .424(\(at quantum\))J 96 188 :M 7.386 .739(priority function:)J 213 188 :M 2.598 .26(here, W is the time that a process must)J 213 203 :M 3.134 .313(wait before entering the accepted queue.)J 96 206 414 39 rC 199 232 :M .533 .053( )J 199 232 :M .619(p)A .37<28>A .37(r)A .309(,)A .281 .028( )J 1.051(W)A .37<29>A .281 .028( )J .65(=)A .309 .031( )J .429 lw 180 270 7 14 264 218.5 @n 0 90 7 14 257 218.5 @n -90 0 7 14 257 232.5 @n 90 180 7 14 264 232.5 @n 265 225 :M .529 .053( )J 1.164(b)A (r)S 375 225 :M .179(r)A .136 .014( )J cF f274 sf .296(\243)A setfont .136 .014( )J (W)S 265 238 :M ( )S (b)S (W)S ( )S (+)S 302 238 :M 1.114(a)A .667<28>A .667(r)A .667(-)A 1.891(W)A <29>S 375 238 :M .116(r)A .088 .009( )J .204(>)A .088 .009( )J (W)S gR f138 sf gS 0 0 552 730 rC 96 257 :M 6.846 .685(arbitration rule:)J 213 257 :M 5.601 .56(first in, first out)J 60 272 :M 1.698 .17(In this example the quantum is 1, and a = 3, b = 2:)J 109 275 54 15 rC 114 287 :M 1.08(service)A gR gS 0 0 552 730 rC 123 302 :M 1.811(time)A 170 287 :M 1.507(arrival)A 177 302 :M 1.811(time)A 229 287 :M 1.934(start)A 271 275 54 15 rC 281 287 :M 1.576(finish)A gR gS 0 0 552 730 rC 349 287 :M (T)S 402 287 :M (W)S 457 287 :M (R)S 79 317 :M (A)S 129 317 :M 2.125(10)A 182 317 :M (0)S 234 317 :M (\311)S 293 317 :M (\311)S 341 317 :M 2.125(27)A 395 317 :M 2.125(17)A 457 317 :M .829(2.7)A 79 332 :M (B)S 129 332 :M 2.125(29)A 182 332 :M (1)S 234 332 :M (\311)S 293 332 :M (\311)S 341 332 :M 2.125(60)A 395 332 :M 2.125(31)A 457 332 :M .829(2.1)A 79 347 :M (C)S 137 347 :M (3)S 182 347 :M (2)S 234 347 :M (\311)S 293 347 :M (\311)S 341 347 :M 2.125(15)A 395 347 :M 2.125(12)A 457 347 :M .829(5.0)A 79 362 :M (D)S 137 362 :M (7)S 182 362 :M (3)S 234 362 :M (\311)S 293 362 :M (\311)S 341 362 :M 2.125(33)A 395 362 :M 2.125(26)A 457 362 :M .829(4.7)A 80 377 :M (E)S 129 377 :M 2.125(12)A 182 377 :M (4)S 234 377 :M (\311)S 293 377 :M (\311)S 341 377 :M 2.125(44)A 395 377 :M 2.125(32)A 457 377 :M .829(3.7)A f214 sf 67 392 :M .265(mean)A f138 sf 341 392 :M .907(35.8)A 395 392 :M .907(23.6)A 457 392 :M .829(3.6)A 78 407 :M 2.905 .29(Why? )J .388 .039( )J 3.778 .378(Assuming )J 1.994 .199(that )J 2.319 .232(new )J 3.228 .323(process )J 3.825 .382(promotions )J 2.501 .25(from )J 403 407 :M 2.454 .245(the )J 428 407 :M 2.037 .204(new )J 458 407 :M .078(queue)A 60 422 :M 1.088 .109(to )J 1.516 .152(the )J 2.21 .221(ready )J 2.432 .243(queue )J 2.751 .275(precede )J 2.497 .25(quanta )J 2.983 .298(expirations, )J 1.523 .152(we )J .778(have:)A 60 437 :M 1.811(time)A 122 437 :M 1.678(job)A 203 437 :M 1.819 .182(ready queue)J 388 437 :M 1.644 .164(new queue)J 109 452 :M .732(running)A 180 452 :M 3.767 .377(\(at end of interval\))J 364 452 :M 3.767 .377(\(at end of interval\))J 60 467 :M 2.486(0-1)A 127 467 :M (A)S 168 467 :M 1.144(A\(2\))A 384 467 :M .811(B\(0\))A 60 482 :M 2.486(1-2)A 127 482 :M (A)S 168 482 :M 1.144(A\(4\))A 384 482 :M 2.761 .276(B\(3\), C\(0\))J 60 497 :M 2.486(2-3)A 127 497 :M (A)S 168 497 :M 3.647 .365(B\(6\), A\(6\))J 384 497 :M 2.4 .24(C\(3\), D\(0\))J 60 512 :M 2.486(3-4)A 128 512 :M (B)S 168 512 :M 3.647 .365(A\(8\), B\(8\))J 384 512 :M 2.016 .202(C\(6\), D\(3\), E\(0\))J 60 527 :M 2.486(4-5)A 127 527 :M (A)S 168 527 :M .852(B\(10\),A\(10\))A 384 527 :M 2.016 .202(C\(9\), D\(6\), E\(3\))J 60 542 :M 2.486(5-6)A 128 542 :M (B)S 168 542 :M 3.403 .34(A\(12\), C\(12\), B\(12\))J 384 542 :M 2.234 .223(D\(9\), E\(6\))J 60 557 :M 2.486(6-7)A 127 557 :M (A)S 168 557 :M 3.403 .34(C\(14\), B\(14\), A\(14\))J 384 557 :M 2.654 .265(D\(12\), E\(9\))J 60 572 :M 2.486(7-8)A 128 572 :M (C)S 168 572 :M 3.403 .34(B\(16\), A\(16\), C\(16\))J 384 572 :M 3.033 .303(D\(15\), E\(12\))J 60 587 :M 2.486(8-9)A 128 587 :M (B)S 168 587 :M 3.055 .306(A\(18\), C\(18\), D\(18\), B\(18\))J 384 587 :M .624(E\(15\))A 60 602 :M 2.011(9-10)A 127 602 :M (A)S 168 602 :M 3.055 .306(B\(20\), C\(20\), D\(20\), A\(20\))J 384 602 :M .624(E\(18\))A 60 617 :M 1.774(10-11)A 128 617 :M (B)S 168 617 :M 3.055 .306(C\(22\), D\(22\), A\(22\), B\(22\))J 384 617 :M .624(E\(21\))A 60 632 :M 1.774(11-12)A 128 632 :M (C)S 168 632 :M 2.828 .283(D\(24\), A\(24\), B\(24\), E\(24\), C\(24\))J f214 sf 186 647 :M .927 .093(\311 )J 1.426 .143(round robin from here on \311)J f138 sf 60 662 :M 2.745 .275(How a and b are chosen greatly affects the way the algorithm works:)J 60 677 :M (\245)S 78 677 :M .913 .091(a = b )J f384 sf .625(\243)A f138 sf 1.166 .117( p\()J 1.457 .146(r,W\) = )J 1.584 .158(ar, which is the )J 2.619 .262(ssame as the FCFS algorithm.)J endp showpage %%Page: 13 13 %%BeginPageSetup initializepage (Matt Bishop; page: 13 of 19)setjob %%EndPageSetup gS 0 0 552 730 rC f138 sf 60 17 :M 2.096 .21(COSC 58 \(Operating Systems\))J 372 17 :M 3.604 .36(Process Scheduling)J 60 722 :M 3.312 .331(October 16, 1992)J 476 722 :M 2.125(13)A 60 53 :M (\245)S 78 53 :M .752 .075(b = 0 )J f384 sf .515(\243)A f138 sf .96 .096( p\()J 1.606 .161(r,W\) = 0, which is the same as Round Robin.)J 60 68 :M (\245)S 78 68 :M .959 .096(b )J .806(>)A .667 .067( a )J f384 sf .664(\243)A f138 sf 2.522 .252( accept no new processes until all accepted processes)J f240 sf 12.48 u240 :p 89 0 6 730 rC 89 68 :M 4 :m .533 .053( )J 91 68 :M 8 :m .507 .051( )J gR f138 sf gS 0 0 552 730 rC 78 83 :M .911(complete)A 60 98 :M 3.543 .354(This algorithm gives better service to processes executing for a)J 60 113 :M 2.101 .21(while as opposed to new ones.)J endp showpage %%Page: 14 14 %%BeginPageSetup initializepage (Matt Bishop; page: 14 of 19)setjob %%EndPageSetup gS 0 0 552 730 rC f138 sf 60 17 :M 2.096 .21(COSC 58 \(Operating Systems\))J 372 17 :M 3.604 .36(Process Scheduling)J 60 722 :M 3.312 .331(October 16, 1992)J 476 722 :M 2.125(14)A f214 sf 60 53 :M 3.087 .309(Multilevel Feedback Queues \(MLF, MLFB\) with n different priority)J 60 68 :M 3.478 .348(levels each of priority T)J f410 sf 0 2 rm (p)S 0 -2 rm f138 sf 78 84 :M 3.242 .324(Processes start out in the uppermost level. After getting T)J f313 sf 0 2 rm (0)S 0 -2 rm f138 sf 60 100 :M 3.004 .3(units of CPU time, it drops to the next lower level, and after units of)J 60 115 :M 2.518 .252(CPU time at that level, it drops down )J 2.87 .287(again \311, until it reaches the)J 60 130 :M 3.464 .346(lowest level. If it blocks or otherwise leaves the scheduling)J 60 145 :M 3.026 .303(system, and later returns, it may reenter the feedback queues at)J 60 160 :M 2.375 .237(another queue \(for example, the top one\).)J 96 175 :M 3.082 .308(decision mode:)J 213 175 :M 4.07 .407(preemptive \(at quantum\))J 96 190 :M 7.386 .739(priority function:)J 213 190 :M 1.691 .169(p\(a\) = n - )J 2.576 .258(i, where )J 2.304 .23(i satisfies both 0 )J cF f274 sf .23(\243)A setfont 2.304 .23( )J 1.58 .158(i < n)J 213 206 :M 1.541 .154(and T)J f313 sf 0 2 rm .377(0)A 0 -2 rm f138 sf .402(\(2)A f313 sf 0 -3 rm .15(i)A 0 3 rm f138 sf .939 .094(\3211\) )J cF f274 sf .094(\243)A setfont .939 .094( a < T)J f313 sf 0 2 rm .377(0)A 0 -2 rm f138 sf .402(\(2)A f313 sf 0 -3 rm .308(i+1)A 0 3 rm f138 sf 2.118 .212(\3211\), assuming that)J 213 223 :M .437(T)A f313 sf 0 2 rm .298(p)A 0 -2 rm f138 sf .506 .051( = 2)J f313 sf 0 -3 rm .298(p)A 0 3 rm f138 sf .437(T)A f313 sf 0 2 rm (0)S 0 -2 rm f138 sf 96 239 :M 6.846 .685(arbitration rule:)J 213 239 :M 4.239 .424(cyclic or chronological within queues)J 60 255 :M 1.745 .175(In this example the quantum is 1, n = 3)J .788 .079(, T)J f313 sf 0 2 rm .546(0)A 0 -2 rm f138 sf 1.234 .123( = 2, and T)J f313 sf 0 2 rm .546(p)A 0 -2 rm f138 sf .925 .092( = 2)J f313 sf 0 -3 rm .546(p)A 0 3 rm f138 sf .8(T)A f313 sf 0 2 rm .546(0)A 0 -2 rm f138 sf (:)S 109 259 54 15 rC 114 271 :M 1.08(service)A gR f138 sf gS 0 0 552 730 rC 123 286 :M 1.811(time)A 170 271 :M 1.507(arrival)A 177 286 :M 1.811(time)A 229 271 :M 1.934(start)A 271 259 54 15 rC 281 271 :M 1.576(finish)A gR gS 0 0 552 730 rC 349 271 :M (T)S 402 271 :M (W)S 457 271 :M (R)S 79 301 :M (A)S 129 301 :M 2.125(10)A 182 301 :M (0)S 234 301 :M (\311)S 293 301 :M (\311)S 341 301 :M 2.125(38)A 395 301 :M 2.125(28)A 457 301 :M .829(3.8)A 79 316 :M (B)S 129 316 :M 2.125(29)A 182 316 :M (1)S 234 316 :M (\311)S 293 316 :M (\311)S 341 316 :M 2.125(60)A 395 316 :M 2.125(31)A 457 316 :M .829(2.1)A 79 331 :M (C)S 137 331 :M (3)S 182 331 :M (2)S 234 331 :M (\311)S 293 331 :M (\311)S 341 331 :M 2.125(11)A 403 331 :M (8)S 457 331 :M .829(3.7)A 79 346 :M (D)S 137 346 :M (7)S 182 346 :M (3)S 234 346 :M (\311)S 293 346 :M (\311)S 341 346 :M 2.125(27)A 395 346 :M 2.125(20)A 457 346 :M .829(3.9)A 80 361 :M (E)S 129 361 :M 2.125(12)A 182 361 :M (4)S 234 361 :M (\311)S 293 361 :M (\311)S 341 361 :M 2.125(40)A 395 361 :M 2.125(28)A 457 361 :M .829(3.3)A f214 sf 67 376 :M .265(mean)A f138 sf 341 376 :M .907(35.2)A 395 376 :M .907(23.3)A 457 376 :M .829(3.4)A 78 391 :M 3.203 .32(This algorithm favors short processes by giving them more of the)J 60 406 :M -.937(CPU.)A 78 421 :M 2.953 .295(It is also adaptive, in that it responds to the changing behavior of)J 60 436 :M 4.298 .43(the system it controls.)J f214 sf 60 451 :M 1.176(Variants)A f138 sf 60 466 :M (\245)S 78 466 :M 3.868 .387(MLFB with round r)J 2.867 .287(obin for all but the lowest )J 3.272 .327(level, and )J 4.328 .433(thatr first)J 78 481 :M 3.496 .35(come first serve \(but preemption possible, of course\):)J 109 484 54 15 rC 114 496 :M 1.08(service)A gR gS 0 0 552 730 rC 123 511 :M 1.811(time)A 170 496 :M 1.507(arrival)A 177 511 :M 1.811(time)A 229 496 :M 1.934(start)A 271 484 54 15 rC 281 496 :M 1.576(finish)A gR gS 0 0 552 730 rC 349 496 :M (T)S 402 496 :M (W)S 457 496 :M (R)S 79 526 :M (A)S 129 526 :M 2.125(10)A 182 526 :M (0)S 234 526 :M (\311)S 293 526 :M (\311)S 341 526 :M 2.125(25)A 395 526 :M 2.125(15)A 457 526 :M .829(2.5)A 79 541 :M (B)S 129 541 :M 2.125(29)A 182 541 :M (1)S 234 541 :M (\311)S 293 541 :M (\311)S 341 541 :M 2.125(49)A 395 541 :M 2.125(20)A 457 541 :M .829(2.5)A 79 556 :M (C)S 137 556 :M (3)S 182 556 :M (2)S 234 556 :M (\311)S 293 556 :M (\311)S 341 556 :M 2.125(11)A 403 556 :M (8)S 457 556 :M .829(1.4)A 79 571 :M (D)S 137 571 :M (7)S 182 571 :M (3)S 234 571 :M (\311)S 293 571 :M (\311)S 341 571 :M 2.125(50)A 395 571 :M 2.125(43)A 457 571 :M .829(1.2)A 80 586 :M (E)S 129 586 :M 2.125(12)A 182 586 :M (4)S 234 586 :M (\311)S 293 586 :M (\311)S 341 586 :M 2.125(57)A 395 586 :M 2.125(45)A 457 586 :M .829(1.3)A f214 sf 67 601 :M .265(mean)A f138 sf 341 601 :M .907(38.4)A 395 601 :M .907(26.2)A 457 601 :M .829(1.8)A endp showpage %%Page: 15 15 %%BeginPageSetup initializepage (Matt Bishop; page: 15 of 19)setjob %%EndPageSetup gS 0 0 552 730 rC f138 sf 60 17 :M 2.096 .21(COSC 58 \(Operating Systems\))J 372 17 :M 3.604 .36(Process Scheduling)J 60 722 :M 3.312 .331(October 16, 1992)J 476 722 :M 2.125(15)A f184 sf 153 53 :M 5.326 .533(Comparison of Scheduling Methods)J f227 sf 12.48 u227 :p 153 0 246 730 rC 153 53 :M 160 :m 1.393 .139( )J 85 :m 1.401 .14( )J 394 53 :M 10 :m 1.46 .146( )J gR f138 sf gS 0 0 552 730 rC 78 83 :M 3.43 .343(These policies were simulated assuming an exponential)J 60 98 :M 3.735 .373(distribution of arrival and service rates \(with parameters of )J f384 sf .934(a)A f138 sf 2.362 .236( = 0.8,)J f384 sf 60 113 :M .869(b)A f138 sf 2.78 .278( = 1.0\), and using 50,000 processes \(the first 100 of which were)J 60 128 :M 2.691 .269(ignored, to get to a steady state\). The processes were categorized)J 60 143 :M 3.185 .319(into percentiles based on service time required; each )J .868(percentile)A 60 158 :M 2.344 .234(had about 500 processes.)J endp showpage %%Page: 16 16 %%BeginPageSetup initializepage (Matt Bishop; page: 16 of 19)setjob %%EndPageSetup gS 0 0 552 730 rC endp showpage %%Page: 17 17 %%BeginPageSetup initializepage (Matt Bishop; page: 17 of 19)setjob %%EndPageSetup gS 0 0 552 730 rC f138 sf 60 722 :M 3.312 .331(October 16, 1992)J 476 722 :M 2.125(17)A f184 sf 184 53 :M 7.695 .77(External Priority Methods)J f227 sf 12.48 u227 :p 184 0 185 730 rC 184 53 :M 160 :m 1.393 .139( )J 25 :m 1.419 .142( )J 364 53 :M 10 :m 1.46 .146( )J gR f138 sf gS 0 0 552 730 rC 78 83 :M 3.06 .306(These adjust priority based on some external factors, and are)J 60 98 :M 2.236 .224(quite common when users pay based upon their computer use.)J f214 sf 60 113 :M .324(Examples)A f138 sf (:)S 60 128 :M (\245)S 78 128 :M 2.81 .281(round robin, where the quantum is set independently for each)J 78 143 :M 2.889 .289(process, based on the external priority of process \()J f214 sf .566(i.e.)A f138 sf 2.636 .264(, the more)J 78 158 :M 2.249 .225(you pay, the bigger the quantum.\))J 60 173 :M (\245)S f214 sf 78 173 :M 3.716 .372(Worst Service Next)J f138 sf 2.817 .282(: after each quantum, compute a \322suffering)J 78 188 :M 2.587 .259(function\323 \(based on how long the process had to wait, how many)J 78 203 :M 2.614 .261(times it has been preempted, how much the user is paying, and/or)J 78 218 :M 2.348 .235(the amount of time and resources used\). The process with the)J 78 233 :M 3.69 .369(greatest suffering gets the next quantum.)J 60 248 :M (\245)S 78 248 :M 3.047 .305(The user buys a response ratio guarantee; the suffering function)J 78 263 :M 3.13 .313(used takes into account the difference between the guaranteed)J 78 278 :M 2.898 .29(response ratio and the actual response ratio at the moment.)J 60 293 :M (\245)S f214 sf 78 293 :M 4.64 .464(Deadline Scheduling)J f138 sf 2.561 .256(: each process specifies how much service it)J 78 308 :M 2.707 .271(needs and by what real time it must be finished. The algorithm)J 78 323 :M 3.263 .326(tries not to run jobs that cannot meet their deadline.)J 60 338 :M (\245)S f214 sf 78 338 :M 4.971 .497(Fair-Share Scheduling)J f138 sf 2.039 .204(: allocate blocks of CPU time to a)J 78 353 :M 3.856 .386(particular set of processes, usually by splitting user processes)J 78 368 :M 2.645 .264(into groups; within each group, use a standard schedule, but)J 78 383 :M 3.012 .301(allocate the CPU proportionately to each group)J f214 sf 78 398 :M .938(example)A f138 sf 2.432 .243(: All processes are infinite loops; 1 process in group 1, 2)J 78 413 :M 1.695 .169(in group 2, 3 in group 3, and 4 in group 4)J 78 428 :M 2.352 .235(regular scheduler: each process gets 10%)J 78 443 :M 2.135 .214(fair share scheduler: each group gets 25%; processes in )J .804(sgroup)A 96 458 :M 3.998 .4(share equally)J f214 sf 78 473 :M .896(example)A f138 sf 2.58 .258(: This uses UNIX internal, not external, priorities. Here,)J 78 488 :M 1.893 .189(3 processes: process A in one group)J 1.709 .171(; processes B and C in another)J 78 503 :M 3.645 .365(group. The internal priority function is:)J 89 527 :M 2.756 .276(priority = )J 0 -9 rm 1.124(recent\312CPU\312usage)A 0 9 rm 206 534 :M (2)S 116 153 521.5 @c 268 527 :M .3 .03( )J .854 .085(+ )J 0 -9 rm .675(group\312CPU\312usage)A 0 9 rm 337 534 :M (2)S 110 287 521.5 @c 396 527 :M .376 .038( )J 1.068 .107(+ )J .772(threshhold)A 78 549 :M .56<28>A 2.598 .26(with the threshold being 60 for user processes\). )J 3.799 .38(A decay)J 78 564 :M 2.718 .272(function decrements the current CPU usage of processes not run;)J 78 579 :M 3.612 .361(this has the effect of raising their priority. The function is:)J 183 603 :M .804 .08(decay of CPU usage = )J 0 -9 rm .354(CPU\312usage)A 0 9 rm 346 610 :M (2)S 68 317 597.5 @c 384 603 :M .533 .053( )J f214 sf 78 625 :M 2.213 .221(example of the UNIX Fair Share Scheduler)J f138 sf 1.522 .152(: Here, the quantum is 1)J 78 640 :M 3.11 .311(second. Note that the higher the priority, the lower the integer)J 78 655 :M 5.872 .587(representing that priority.)J endp showpage %%Page: 18 18 %%BeginPageSetup initializepage (Matt Bishop; page: 18 of 19)setjob %%EndPageSetup gS 0 0 552 730 rC f138 sf 60 17 :M 2.535 .253(ECS 150 \(Operating Systems\))J 372 17 :M 3.604 .36(Process Scheduling)J 60 722 :M 3.674 .367(Spring Quarter 1999)J 476 722 :M 2.125(18)A 78 53 :M (A)S 96 53 :M 2.522 .252(runs for 1 second)J 96 68 :M 1.93 .193(decay applied to CPU and group CPU usage; A's new priority is)J 96 92 :M 1.346 .135(60 + )J 0 -9 rm 1.662(30)A 0 9 rm 131 99 :M (2)S 17 127 86.5 @c 143 92 :M .343 .034( )J .975 .098(+ )J 0 -9 rm 1.51(30)A 0 9 rm 166 99 :M (2)S 17 162 86.5 @c 178 92 :M .35 .035( )J 1.812 .181(= 90. As B and C now have higher priority, one of)J 96 114 :M 2.028 .203(them \(say, B\) goes next.)J 78 129 :M (B)S 96 129 :M 2.522 .252(runs for 1 second)J 96 144 :M 1.93 .193(decay applied to CPU and group CPU usage; A's new priority is)J 96 168 :M 1.346 .135(60 + )J 0 -9 rm 1.662(15)A 0 9 rm 131 175 :M (2)S 17 127 162.5 @c 143 168 :M .343 .034( )J .975 .098(+ )J 0 -9 rm 1.51(15)A 0 9 rm 166 175 :M (2)S 17 162 162.5 @c 178 168 :M .513 .051( )J 2.343 .234(= 74, B's new priority is 60 + )J 0 -9 rm 2.258(30)A 0 9 rm 376 175 :M (2)S 17 372 162.5 @c 388 168 :M .343 .034( )J .975 .098(+ )J 0 -9 rm 1.51(30)A 0 9 rm 411 175 :M (2)S 17 407 162.5 @c 423 168 :M .249 .025( )J 1.478 .148(= 90, and)J 96 199 :M 2.583 .258(C's new priority is 60 + )J 0 -9 rm (0)S 0 9 rm 247 206 :M (2)S 9 247 193.5 @c 255 199 :M .343 .034( )J .975 .098(+ )J 0 -9 rm 1.51(30)A 0 9 rm 278 206 :M (2)S 17 274 193.5 @c 290 199 :M .376 .038( )J 2.119 .212(= 75; A has the highest)J 96 221 :M 3.923 .392(priority, so it runs next.)J 78 236 :M (A)S 96 236 :M 2.369 .237(runs for 1 second.)J 96 251 :M 1.93 .193(decay applied to CPU and group CPU usage; A's new priority is)J 96 275 :M 1.346 .135(60 + )J 0 -9 rm 1.662(37)A 0 9 rm 131 282 :M (2)S 17 127 269.5 @c 143 275 :M .343 .034( )J .975 .098(+ )J 0 -9 rm 1.51(37)A 0 9 rm 166 282 :M (2)S 17 162 269.5 @c 178 275 :M .513 .051( )J 2.343 .234(= 96, B's new priority is 60 + )J 0 -9 rm 2.258(15)A 0 9 rm 376 282 :M (2)S 17 372 269.5 @c 388 275 :M .343 .034( )J .975 .098(+ )J 0 -9 rm 1.51(15)A 0 9 rm 411 282 :M (2)S 17 407 269.5 @c 423 275 :M .249 .025( )J 1.478 .148(= 74, and)J 96 306 :M 2.583 .258(C's new priority is 60 + )J 0 -9 rm (0)S 0 9 rm 247 313 :M (2)S 9 247 300.5 @c 255 306 :M .343 .034( )J .975 .098(+ )J 0 -9 rm 1.51(15)A 0 9 rm 278 313 :M (2)S 17 274 300.5 @c 290 306 :M .335 .033( )J 1.898 .19(= 67; C has the highest)J 96 328 :M 3.923 .392(priority, so it runs next.)J 78 343 :M (C)S 96 343 :M 2.369 .237(runs for 1 second.)J 96 358 :M 1.93 .193(decay applied to CPU and group CPU usage; A's new priority is)J 96 382 :M 1.346 .135(60 + )J 0 -9 rm 1.662(18)A 0 9 rm 131 389 :M (2)S 17 127 376.5 @c 143 382 :M .343 .034( )J .975 .098(+ )J 0 -9 rm 1.51(18)A 0 9 rm 166 389 :M (2)S 17 162 376.5 @c 178 382 :M .514 .051( )J 2.348 .235(= 96, B's new priority is 60 + )J 0 -9 rm (7)S 0 9 rm 372 389 :M (2)S 9 372 376.5 @c 380 382 :M .343 .034( )J .975 .098(+ )J 0 -9 rm 1.51(37)A 0 9 rm 403 389 :M (2)S 17 399 376.5 @c 415 382 :M .249 .025( )J 1.478 .148(= 81, and)J 96 413 :M 2.571 .257(C's new priority is 60 + )J 0 -9 rm 2.352(30)A 0 9 rm 251 420 :M (2)S 17 247 407.5 @c 263 413 :M .343 .034( )J .975 .098(+ )J 0 -9 rm 1.51(37)A 0 9 rm 286 420 :M (2)S 17 282 407.5 @c 298 413 :M .376 .038( )J 2.119 .212(= 93; A has the highest)J 96 435 :M 3.923 .392(priority, so it runs next.)J 78 450 :M 1.551 .155(Hence the order of running is A B A C A B A )J 2.007 .201(C \311, with A getting)J 78 465 :M 1.472 .147(50% of the CPU and B and C together getting 50%.)J f214 sf 60 495 :M .519(example)A f138 sf 2.432 .243(: VAX/VMS scheduler)J 78 510 :M 3.836 .384(This scheduler has 32 priority levels)J 2.309 .231(: levels 31 to 16 are for)J 60 525 :M 3.121 .312(real-time processes, and levels 15 to 0 for regular processes. Real-)J 60 540 :M 4.174 .417(time processes have fixed priority throughout their lifetime; but the)J 60 555 :M 3.912 .391(priority of regular processes is dynamic:)J 78 570 :M (\245)S 96 570 :M 3.096 .31(at process creation, a )J f214 sf 1.075(base)A f138 sf 3.058 .306( priority assigned; this is the)J 96 585 :M 5.449 .545(process' minimum priority)J 78 600 :M (\245)S 96 600 :M 3.345 .334(the current priority of the process is altered by a system)J 96 615 :M 2.453 .245(events, each of which has an associated )J f214 sf .722(increment)A f138 sf .686 .069(, )J f214 sf .494(i.e.)A f138 sf (,)S 96 630 :M 3.72 .372(terminal read increment > terminal write increment > disk I/O)J 114 645 :M 2.342 .234(When awakened due to a system event, the appropriate)J 96 660 :M 3.404 .34(increment is added to the current priority value; on preemption)J 96 675 :M 3.181 .318(due to quantum expiration, the current priority drops by 1.)J endp showpage %%Page: 19 19 %%BeginPageSetup initializepage (Matt Bishop; page: 19 of 19)setjob %%EndPageSetup gS 0 0 552 730 rC f138 sf 60 17 :M 2.535 .253(ECS 150 \(Operating Systems\))J 372 17 :M 3.604 .36(Process Scheduling)J 60 722 :M 3.674 .367(Spring Quarter 1999)J 476 722 :M 2.125(19)A 102 41 348 203 rC 181 159.5 44 @w 289 159 224.5 @c 10 156 204 196 152 @k 29 159 152.5 @c 10 66 114 196 80 @k 65 195.5 88 @w 10 156 204 232 80 @k 29 195 80.5 @c 10 -114 -66 232 98 @k 11 231.5 80 @w 10 156 204 268 98 @k 29 231 98.5 @c 10 -114 -66 268 116 @k 11 267.5 98 @w 10 156 204 304 116 @k 29 267 116.5 @c 10 -114 -66 304 134 @k 11 303.5 116 @w 10 156 204 340 134 @k 29 303 134.5 @c 196 138 :M .87(event)A 232 75 :M .844(preemption)A 268 93 :M .844(preemption)A 304 111 :M .844(preemption)A 106 129 :M 1.196(current)A 106 145 :M 1.653(priority)A 268 237 :M 1.811(time)A gR f138 sf gS 0 0 552 730 rC 96 256 :M 3.855 .386(Processes are dispatched by their current priority.)J 78 271 :M 2.852 .285(This scheme is like a MLFB scheme, with two differences:)J 60 286 :M (\245)S 78 286 :M 2.878 .288(processes need not start at the highest level; and)J 60 301 :M (\245)S 78 301 :M 2.906 .291(quanta are associated with each )J f214 sf .815(process)A f138 sf 2.325 .233(, not level)J endp showpage %%Trailer end %%EOF