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An interactive method for bicriteria integer programming

机译:一种用于双标准整数编程的交互式方法

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摘要

An efficient interactive solution framework for bicriteria integer programming is developed. The proposed methodology follows the implicit utility maximization approach. The decision maker's underlying utility function is assumed to be pseudoconcave and nondecreasing, and the problem is solved using an interactive branch-and-bound methodology. Several new concepts on bicriteria integer programming that offer great efficiency in the solution process are developed. The framework has been tested extensively, and results with problems having up to 80 variables and 40 constraints are presented. The results show that the methodology is an effective approach to solving practical bicriteria problems.
机译:开发了一种用于双标准整数编程的有效交互式解决方案框架。所提出的方法遵循隐式效用最大化方法。假定决策者的基础效用函数是伪凹且不变的,并且使用交互式分支定界方法解决了该问题。提出了一些关于双标准整数编程的新概念,它们在求解过程中提供了很高的效率。该框架已进行了广泛的测试,并给出了具有多达80个变量和40个约束的问题的结果。结果表明,该方法是解决实际双标准问题的有效方法。

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