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Resource allocation in computer networks PDF

155 Pages·2003·0.51 MB·English
by  ZhouYunkai
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ResourceAllocationinComputerNetworks: FundamentalPrinciplesandPractical Strategies AThesis SubmittedtotheFaculty of DrexelUniversity by YunkaiZhou inpartialfulfillmentofthe requirementsforthedegree of DoctorofPhilosophy May2003 ii Dedications This thesis is dedicated to my family, especially to my wife, Dr. Shan Cheng, and my parents, Mr. Guanghua Zhou and Mrs. Honggen Shi, for their sincere support, encourage- mentandlove. iii Acknowledgments In retrospect as I approach the completion of my doctorate, I realize that I am deeply indebted to many people’s assistance and support. I would like to express my genuine gratitudetoeachofthem,althoughitwouldbeimpossibleformetonameall. Firstofall,Iwouldliketosincerelythankmyadvisor,Dr. HarishSethu,forhistremen- dous time and effort spent in leading, supporting and encouraging me during the last five years. His passion for challenges has given me inspiration; his knowledge of engineering has givenme guidance; his perseverancein research has givenme confidence. Without his help and effort, it would be impossible for me to even get close to this point. I am also grateful to him for being not only a mentor in my professional life but also a friend in my personallife. Iwanttoexpressmygratitudetoallcommitteemembersinmycandidacyexamination and/or my dissertation defense, Dr. Maja Bystrom, Dr. Athina Petropulu, Dr. William Regli,Dr. WarrenRosenandDr. OlehTretiak,fortheirtimeandvaluablesuggestions. Many thanks are due to my friends in the Department of Electrical and Computer En- gineering, who make my life here memorable. I thank Haiguang Cheng and Xueshi Yang for discussions on traffic modeling. I thank Salil Kanhere, Alpa Parekh, Hongyuan Shi, Madhusudan Hosaagrahara, Harpreet Arora, Adam O’Donnell and Kunal Shah from our labfortheircollaboration,discussionsandhelpduringtheseyears. Ialsowanttothankall theprofessors,staffandstudentsinECEformakingtheDepartmentsuchajoyfulworking andstudyingenvironment. I am greatly grateful to my parents, Mr. Guanghua Zhou and Mrs. Honggen Shi, for their continuous encouragement and support. Finally, my special gratitude is due to my wife, Dr. Shan Cheng, who has always provided me unconditional love and endless support. SheisthepersonwhoisthehappiestformewhenImakeprogress,littleorgreat; iv she is the person who believes in me and encourages me when I am frustrated; she is the personwhokeepsmefocusedwhenIamindoubt;sheisthepersonwhomakesmerealize thatlifeissobeautiful. v TableofContents ListofTables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ix ListofFigures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . x Abstract . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xii Chapter1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1 Motivation: ResourceAllocationandFairness . . . . . . . . . . . . . . . . 1 1.2 FairnessCriteriaandNotionsofFairness . . . . . . . . . . . . . . . . . . . 4 1.2.1 Max-MinFairness . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.2.2 UtilityMax-MinFairness . . . . . . . . . . . . . . . . . . . . . . 7 1.2.3 ProportionalFairness . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.2.4 GeneralNotionofFairness . . . . . . . . . . . . . . . . . . . . . . 9 1.3 FairnessinScheduling . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 1.3.1 GeneralizedProcessorSharing . . . . . . . . . . . . . . . . . . . . 12 1.3.2 MeasuresofFairness . . . . . . . . . . . . . . . . . . . . . . . . . 12 1.3.3 WeightedFairQueueing . . . . . . . . . . . . . . . . . . . . . . . 14 1.3.4 Self-ClockedFairQueueing . . . . . . . . . . . . . . . . . . . . . 15 1.3.5 Worst-caseFairWeightedFairQueueing . . . . . . . . . . . . . . 15 1.3.6 DeficitRoundRobin . . . . . . . . . . . . . . . . . . . . . . . . . 16 1.4 AllocationofMultipleResources . . . . . . . . . . . . . . . . . . . . . . . 17 1.4.1 PrioritizedandEssentialResources . . . . . . . . . . . . . . . . . 18 1.5 Contributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 1.6 Organization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 vi Chapter2. TheJointAllocationofBufferandBandwidthResources . . . . . . . . . 23 2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 2.1.1 Motivation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 2.1.2 BufferAllocationAlgorithms . . . . . . . . . . . . . . . . . . . . 24 2.1.3 Contributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 2.1.4 Organization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 2.2 SystemModel . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 2.3 ThePrincipleofFairPrioritizedResourceAllocation . . . . . . . . . . . . 33 2.3.1 ResourceDividendsandDemands . . . . . . . . . . . . . . . . . . 33 2.3.2 TheFPRAPrinciple . . . . . . . . . . . . . . . . . . . . . . . . . 35 2.4 ApplicationtoBuffer-LinkSystemModel . . . . . . . . . . . . . . . . . . 39 2.4.1 WhatisFair? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 2.4.2 AnIdeallyFairAllocationStrategy . . . . . . . . . . . . . . . . . 40 2.5 Packet-by-packetFairBuffering . . . . . . . . . . . . . . . . . . . . . . . 42 2.5.1 ThePFBAlgorithm . . . . . . . . . . . . . . . . . . . . . . . . . 42 2.5.2 FairnessAnalysis . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 2.5.3 ComputationalEfficiency . . . . . . . . . . . . . . . . . . . . . . 48 2.6 MeasureofFairnessandSimulationResults . . . . . . . . . . . . . . . . . 48 2.6.1 MeasureofFairness . . . . . . . . . . . . . . . . . . . . . . . . . 49 2.6.2 SimulationSetup . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 2.6.3 GatewayTrafficTraces . . . . . . . . . . . . . . . . . . . . . . . . 52 2.6.4 VideoTrafficTraces . . . . . . . . . . . . . . . . . . . . . . . . . 55 Chapter3. TheJointAllocationofProcessingandBandwidthResources . . . . . . 58 3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 vii 3.1.1 BackgroundandMotivation . . . . . . . . . . . . . . . . . . . . . 58 3.1.2 EssentialResources . . . . . . . . . . . . . . . . . . . . . . . . . . 59 3.1.3 DifferencefromPrioritizedResourceAllocation . . . . . . . . . . 61 3.1.4 Contributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 3.1.5 Organization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 3.2 SystemModel . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 3.3 ThePrincipleofFairEssentialResourceAllocation . . . . . . . . . . . . . 64 3.3.1 NotionofFairness . . . . . . . . . . . . . . . . . . . . . . . . . . 64 3.3.2 TheConceptofthePrimeResource . . . . . . . . . . . . . . . . . 65 3.3.3 TheFERAPrinciple . . . . . . . . . . . . . . . . . . . . . . . . . 66 3.3.4 FairWork-ConservingAllocationPolicy . . . . . . . . . . . . . . 72 3.4 FairJointAllocationofProcessingandBandwidthResources . . . . . . . . 75 3.4.1 SystemModel . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76 3.4.2 Fluid-flowProcessorandLinkSharing . . . . . . . . . . . . . . . 76 3.4.3 Packet-by-packetProcessorandLinkSharing . . . . . . . . . . . . 77 3.4.4 FairnessAnalysisofPPLS . . . . . . . . . . . . . . . . . . . . . . 82 3.5 SimulationResultsandAnalysis . . . . . . . . . . . . . . . . . . . . . . . 87 3.5.1 SyntheticTraffic . . . . . . . . . . . . . . . . . . . . . . . . . . . 88 3.5.2 GatewayTrafficTraces . . . . . . . . . . . . . . . . . . . . . . . . 91 3.5.3 EffectofMaximumDeficitCounter . . . . . . . . . . . . . . . . . 92 3.6 DiscussionsonImplementationofPPLS . . . . . . . . . . . . . . . . . . . 93 Chapter4. ADiscussiononExtensionstoMultipleOutputLinkSystems . . . . . . 95 4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95 4.1.1 MotivationandChallenges . . . . . . . . . . . . . . . . . . . . . . 95 viii 4.1.2 Contributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97 4.1.3 Organization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 98 4.2 MultipleOutputLinkSystemModel . . . . . . . . . . . . . . . . . . . . . 99 4.2.1 SystemModel . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99 4.2.2 SystemDecomposition . . . . . . . . . . . . . . . . . . . . . . . . 102 4.3 FairnessinMultipleOutputLinkSystems . . . . . . . . . . . . . . . . . . 104 4.3.1 FairnessinSharedLinkSubsystems . . . . . . . . . . . . . . . . . 105 4.3.2 FairnessinanUnsharedLinkSubsystem . . . . . . . . . . . . . . 106 4.3.3 FairnessinBufferAllocation . . . . . . . . . . . . . . . . . . . . . 112 4.4 AMeasureofFairness . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112 4.4.1 Definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112 4.4.2 RelationshiptoFairnesswithinComponentSubsystems . . . . . . 115 4.5 AllocationofProcessingResource . . . . . . . . . . . . . . . . . . . . . . 119 Chapter5. Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122 5.1 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122 5.2 ConcludingRemarksandFutureWork . . . . . . . . . . . . . . . . . . . . 124 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 128 AppendixA.RelationshipbetweenAFBandRFB . . . . . . . . . . . . . . . . . . 133 Vita . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139 ix ListofTables 2.1 Entrypoliciesevaluated. . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 2.2 Exitpoliciesevaluated. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 3.1 Examples illustrating what is a fair allocation in a system with a shared processorP andasharedlinkL. Inalloftheseexamples,thetotalamounts ofthesharedresourcesare,respectively,100MHzforP and100Mbpsfor L. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67 3.2 The ratio of the processing resource to the link resource required by each flow. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89

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Resource Allocation in Computer Networks: Fundamental Principles and Practical. Strategies. A Thesis. Submitted to the Faculty of. Drexel University.
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