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资源管理决策问题的灵敏度分析
引用本文:周康,同小军,刘文斌. 资源管理决策问题的灵敏度分析[J]. 华中科技大学学报(自然科学版), 2006, 34(8): 122-124
作者姓名:周康  同小军  刘文斌
作者单位:武汉工业学院,数理科学系,湖北,武汉,430023;温州大学,计算机科学与工程系,浙江,温州,325027
基金项目:国家自然科学基金;湖北省高校教学研究项目
摘    要:对资源管理决策问题,研究了技术系数对最优解向量的影响,给出并证明了保持最优解向量不变的充分必要条件———(ZK)条件;讨论了对价值系数和右端项的灵敏度问题;分别得到了保持最优决策方案不变的充分必要条件,给出了各系数的变化范围.使用基于Mathematica软件的Source-Manage应用程序和LinDo软件,对一个5×10规模的资源管理决策模型的价值系数和右端项进行了灵敏度分析,分别给出了计算步骤.

关 键 词:资源管理  灵敏度分析  数学模型  最优解向量
文章编号:1671-4512(2006)08-0122-03
收稿时间:2005-08-31
修稿时间:2005-08-31

Sensitivity analysis of source management
Zhou Kang,Tong Xiaojun,Liu Wenbin. Sensitivity analysis of source management[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 2006, 34(8): 122-124
Authors:Zhou Kang  Tong Xiaojun  Liu Wenbin
Abstract:For source management,the influence of techno-coefficient of mathematics model of source management on optimization solve vector was studied,and the sufficient and necessary condition of invariable optimization solve vector was found and proved,which was(ZK) condition.And then sensitivity analysis for value coefficient and right-constant of mathematics model of source management was discussed,and the sufficient and necessary condition of invariability of optimization project was put forward respectively,the range of various coefficients was gained.In practice,using Source-Manage application based on Mathematica software and LinDo software,sensitivity analysis was done to value coefficient and right-constant of a management of source model of 5*10 scale,and computing step was written out respectively.
Keywords:source management   sensitivity analysis   mathematics model   optimization solution vectors
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