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资源分配问题的求解方法【摘要】资源分配问题就是将一种或几种资源(原材料、资金、机器设备等)以最优的方式分配给若干个使用者,以获得最大的效益。它可以是静态规划问题,也可以通过构造动态规划模型求解。本文通过用单纯形法求解线性规划问题,用隐枚举法、LINGO软件求解0-1规划问题,以及用逆序递推算法求解动态规划问题。这几种算法的最终目的都是用来求解资源分配的最优值问题。【关键词】资源分配;线性规划;0-1规划;动态规划TheMethodofSolvingtheResourceAllocationProblem【Abstract】Resourceallocationproblemisoneorseveralresources(rawmaterials,machinery,equipment,etc.)assignedtoseveralusersbybestwaytogetmaximumbenefit.Itisastaticplanningproblem,andcanalsothroughstructuraldynamicprogrammingmodeltosolve.Thispapersolveslinearprogrammingproblembyusingsimplexmethod,0-1programmingproblembyusingtheimplicitenumerationmethod,LINGOsoftwaremethod,anddynamicprogrammingproblembyusingreverserecursivealgorithm.Theultimategoalofthisseveralalgorithmsistosolvetheoptimalvalueproblemoftheresourcesallocation.【KeyWord】Resourceallocation;LinearProgramming;0-1programming;Dynamicprogramming目录1引言.........................................................12线性规划.....................................................12.1模型的建立.................................................12.2求解方法...................................................22.3实例1.....................................................330-1规划......................................................53.1模型的建立.................................................53.2求解方法...................................................63.3实例2.....................................................84动态规划.....................................................104.1模型的建立.................................................104.2求解方法...................................................104.3实例3.....................................................125结论.........................................................14参考文献.......................................................15附录...........................................................16致谢...........................................................181引言人们奋斗所争取的一切,都同他们的利益有关。资源分配问题关系着人们的利益能