| 多阶段有补偿问题的非线性模型 |
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| 引用本文： | 徐成贤,陈志平.多阶段有补偿问题的非线性模型[J].应用数学,1996,9(3):358-363. |
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| 作者姓名： | 徐成贤 陈志平 |
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| 作者单位： | 西安交通大学数学系 |
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| 摘 要： | 通过对已有补偿问题的模型进行总结，抽象与升华，本文建立了Ｂａｎａｃｈ空间中一般形式多阶段有补偿随机规划问题的一个非线性模型，使已有所有的补偿问题均成为其特例；然后利用可测集值映射理论，正规凸的被积函数的性质及文［８」中的结论等，讨论了所给模型的适定性与其基本性质．
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| 关 键 词： | 多阶段有补偿问题 可测性 适定性 连续性 凸性 |
A NONLINEAR MODEL OF MULTISTAGEPROBLEM WITH RECOURSE |
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| Xu Chengxian ,Chen Zhiping.A NONLINEAR MODEL OF MULTISTAGEPROBLEM WITH RECOURSE[J].Mathematica Applicata,1996,9(3):358-363. |
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| Authors: | Xu Chengxian Chen Zhiping |
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| Abstract: | A nonlinear model to describe more general multistage stochastic programming problem with recourse in Banach space is presented in the paper,making all available recourse problems be its special cases ;Then,the well-definetness and elementary properties of the suggested model are discussed by utilizing measurable set-valued mapping theory,properties of normal convex integrand and conclusions of paper 8]. |
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| Keywords: | Multistage Problem With Recourse Measurability Well - Definetness Continuity Convexity |
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