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首页> 外文期刊>American Journal of Operations Research >Chance-Constrained Approaches for Multiobjective Stochastic Linear Programming Problems
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Chance-Constrained Approaches for Multiobjective Stochastic Linear Programming Problems

机译:多目标随机线性规划问题的机会约束方法

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摘要

Multiple objective stochastic linear programming is a relevant topic. As a matter of fact, many practical problems ranging from portfolio selection to water resource management may be cast into this framework. Severe limitations on objectivity are encountered in this field because of the simultaneous presence of randomness and conflicting goals. In such a turbulent environment, the mainstay of rational choice cannot hold and it is virtually impossible to provide a truly scientific foundation for an optimal decision. In this paper, we resort to the bounded rationality principle to introduce satisfying solution for multiobjective stochastic linear programming problems. These solutions that are based on the chance-constrained paradigm are characterized under the assumption of normality of involved random variables. Ways for singling out such solutions are also discussed and a numerical example provided for the sake of illustration.
机译:多目标随机线性规划是一个相关的主题。事实上,从投资组合选择到水资源管理的许多实际问题都可以纳入该框架。由于同时存在随机性和冲突的目标,因此在该领域遇到了客观性上的严重限制。在这样一个动荡的环境中,理性选择的支柱无法成立,而且几乎不可能为做出最佳决策提供真正的科学基础。在本文中,我们诉诸有限理性原理,为多目标随机线性规划问题引入满意的解。这些基于机会约束范式的解决方案是在所涉及随机变量的正态性假设下进行特征化的。还讨论了选择此类解决方案的方法,并为说明起见提供了数值示例。

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