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Stochastic approach versus multiobjective approach for obtaining efficient solutions in stochastic multiobjective programming problems

机译:随机方法与多目标方法在随机多目标规划问题中获取高效解决方案

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摘要

In this work, we deal with obtaining efficient solutions for stochastic multiobjectiveudprogramming problems. In general, these solutions are obtained in two stages: in one of them,udthe stochastic problem is transformed into its equivalent deterministic problem, and in the otherudone, some of the existing generating techniques in multiobjective programming are applied toudobtain efficient solutions, which involves transforming the multiobjective problem into audproblem with only one objective function. Our aim is to determine whether the order in whichudthese two transformations are carried out influences, in any way, the efficient solution obtained.udOur results show that depending on the type of stochastic criterion followed and the statisticaludcharacteristics of the initial problem, the order can have an influence on the final set of efficientudsolutions obtained for a given problem.
机译:在这项工作中,我们要处理针对随机多目标编程问题的有效解决方案。通常,这些解决方案分两个阶段获得:在其中一个中,将随机问题转换为等效的确定性问题;在另一个中,将多目标编程中的某些现有生成技术应用于有效的获得解决方案,它涉及将多目标问题转换为仅具有一个目标函数的问题。我们的目的是确定执行这两个变换的顺序是否以任何方式影响所获得的有效解决方案。我们的结果表明,取决于遵循的随机准则的类型和初始问题的统计特征,顺序可能会影响针对给定问题获得的最终有效解解决方案。

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