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An interactive algorithm for linear multiple objective decision making problems in a stochastic environment

机译:随机环境中线性多目标决策问题的交互式算法

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The authors consider a linear multiple objective decision making problem in a probabilistic framework. A novel scheme for solving such problems is proposed. This scheme consists of two phases: In phase I, the problem is optimized with the random parameters taking their mean values. With reference to the obtained Pareto solution, the decision makers choose critical target levels for the objects containing random parameters. In phase II, with those levels, an equivalent deterministic problem is formulated which takes into account the dispersion of the objectives and the eventual violation of the constraints in the face of different scenarios. This problem is solved by an interactive algorithm. A simplified regional development problem is solved by the developed scheme.
机译:作者考虑了概率框架中的线性多目标决策问题。提出了解决此类问题的新颖方案。该方案包括两个阶段:在阶段I中,使用随机参数的平均值对问题进行优化。参考获得的Pareto解决方案,决策者为包含随机参数的对象选择关键目标级别。在具有这些级别的第二阶段中,提出了一个等效的确定性问题,其中考虑了目标的分散以及面对不同场景最终违反约束的情况。通过交互式算法解决了这个问题。通过开发的方案解决了简化的区域发展问题。

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