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机架的离散变量优化设计 Title:DiscreteVariableOptimizationinRackDesign:AComprehensiveReviewandAnalysis Abstract: Inrecentyears,theincreasingdemandforefficientandreliabledatacentershasledtoagrowinginterestinoptimizingrackdesigns.Racksserveasthebackboneofadatacenter,housingamultitudeofserverequipment.Thispaperaimstoexploretheoptimizationofrackdesignsthroughtheconsiderationofdiscretevariables.Themethodologiesandalgorithmscommonlyusedfordiscretevariableoptimizationinrackdesignarereviewedandanalyzed.Theadvantagesandchallengesassociatedwiththeseapproachesarediscussed,alongwithpotentialfutureresearchdirections.Throughthiscomprehensivereview,itishopedthattheunderstandingofdiscretevariableoptimizationinrackdesignwillbeenhanced,leadingtoimprovedefficiency,reliability,andsustainabilityofmoderndatacenters. 1.Introduction 1.1Backgroundandsignificanceofrackdesignoptimization 1.2Researchobjectivesandscope 2.LiteratureReview 2.1Overviewofrackdesignoptimization 2.2Discretevariableoptimizationmethodsinrackdesign 2.3Comparisonandcriticalanalysisofoptimizationalgorithms 2.3.1GeneticAlgorithms 2.3.2ParticleSwarmOptimization 2.3.3SimulatedAnnealing 2.3.4AntColonyOptimization 2.3.5TabuSearch 2.4Applicationsofdiscretevariableoptimizationinreal-liferackdesigns 3.Methodology 3.1Problemformulationandmathematicalmodeling 3.2Discretevariableoptimizationalgorithmsinrackdesign 3.2.1IntegerLinearProgramming 3.2.2EvolutionaryAlgorithms 3.2.3ConstraintProgramming 3.2.4Mixed-IntegerNonlinearProgramming 3.3Performanceevaluationmetricsandcriteria 4.ResultsandDiscussion 4.1Casestudiesandempiricalanalysis 4.2Comparativeanalysisofoptimizationalgorithms 4.3Discussionontheadvantagesandlimitationsofdiscretevariableoptimizationinrackdesign 5.ChallengesandFutureDirections 5.1Currentchallengesandlimitations 5.2Potentialfutureresearchdirections 5.3Integrationofdiscretevariableoptimizationwithreal-timemonitoringsystems 6.Conclusion 6.1Summaryofthekeyfindings 6.2Implicationsforthefieldofrackdesignoptimization 6.3Suggestionsfo