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Application of fuzzy minimum cost flow problems to network design under uncertainty

机译：模糊最小成本流问题在不确定性网络设计中的应用

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摘要

This paper deals with fuzzy quantities and relations in multi-objective minimum cost flow problem. When t-norms and t-conorms are available, the goal programming is applied to minimize the deviation among the multiple costs of fuzzy flows and the given targets when the fuzzy supplies and demands are satisfied. To obtain the most optimistic and the most pessimistic satisficing solutions of this problem, two polynomial time algorithms are introduced applying some network transformations. To demonstrate the performance of this approach in actual substances, network design under fuzziness is considered and an efficient scheme is proposed including genetic algorithm together with fuzzy minimum cost flow problem. This scheme is applied on a pilot network for more description.
机译：本文讨论了多目标最小成本流问题中的模糊量和关系。当t范数和t范数可用时，应用目标规划，以在满足模糊供给和需求时最小化模糊流的多个成本与给定目标之间的偏差。为了获得此问题的最乐观和最悲观的满意解决方案，应用了一些网络变换，引入了两种多项式时间算法。为了证明这种方法在实际物质中的性能，考虑了模糊性下的网络设计，提出了一种有效的方案，该方案包括遗传算法以及模糊最小成本流问题。为了进行更多描述，该方案被应用于导频网络。

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  • 来源
    《Fuzzy sets and systems》 |2009年第22期|3263-3289|共27页
  • 作者

    Mehdi Ghatee; S. Mehdi Hashemi;

  • 作者单位

    Department of Computer Science, Amirkabir University of Technology, No. 424, Hafez. Avenue, Tehran 15875-4413, Iran Laboratory of Network and Optimization Research Center, Amirkabir University of Technology, Tehran, Iran;

    Department of Computer Science, Amirkabir University of Technology, No. 424, Hafez. Avenue, Tehran 15875-4413, Iran Laboratory of Network and Optimization Research Center, Amirkabir University of Technology, Tehran, Iran;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    fuzzy network design; fuzzy relations; optimistic and pessimistic attitudes;

    机译：模糊网络设计;模糊关系乐观和悲观的态度;

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