内容简介
Writtenbyatrailblazerinthefield,thisclassicofmathematicalprogrammingandoperationalresearchfirstappearednearly50yearsago.Itremainsasrelevanttodayasatthetimeofitsinitialpublication,offeringadvancedundergraduatesandgraduatestudentsacoherentintroductiontolinearandnonlinearprogrammingthatemphasizesmathematicalconceptsandapplications.Thefirstrigoroustreatmentofawidevarietyofprogrammingtopics,thistextfeaturesnumerousworked-outexamplesandproblems.Italsoconstitutesanexcellentreferenceworkforprofessionalsinthefieldsofmathematicsandstatistics,operationsresearch,andmanagementscience.Theopeningchapterslaytheoreticalfoundationsforsubsequenttopics,surveyingthealgebrasoflinearinequalitiesandduality,graphtheory,andcombinatorialtheory.Explorationsofgeneralandspecialalgorithmsfollow,alongwithconsiderationsoftheusesofdualityandselectedapplications.Finalchaptersexamineparametric,nonlinear,discrete,stochastic,anddynamicprogramming.Thetextconcludeswithanappendix,inwhichreadersunfamiliarwithmatrixtheorywillfindahelpfulexpositionofrelevanttopics.,