航空学报 > 1994, Vol. 15 Issue (4): 462-467

多目标决策的交互式maximin方法及其在资源分配中的应用

石永恒, 顾昌耀   

  1. 北京航空航天大学管理学院,北京,100083
  • 收稿日期:1992-04-21 修回日期:1992-11-12 出版日期:1994-04-25 发布日期:1994-04-25

AN INTERACTIVE MAXIMIN METHOD FOR MULTIOBJECTIVE DECISION AND APPLICATION TO RESOURCE ALLOCATION

Shi Yongheng, Gu Changyao   

  1. School of Management,Beoing University of Aeronautics and Astronautics,Beijing,100083
  • Received:1992-04-21 Revised:1992-11-12 Online:1994-04-25 Published:1994-04-25

摘要: 多目标决策的交互式maximin方法一直没有解决如何根据决策者的愿望(特别是变化了的愿望)调整满意解。本文研究了调整原理,调整过程中所要调整的参数具有明确的实际意义。将交互式maximin方法应用到资源分配问题,建立了资源分配的多目标决策模型,并设计了系统分解协调的求解方法。

关键词: 目标程序, 相互作用, 分配

Abstract: This paper studies the principles of adjustment ofter the maximin method is intro-duced.The parameters to be adjusted in interaction are similar to the DM(Decision Maker)and reflect the aspiration of the DM. This paper applies the method to resouree allocation problem.The multiobjective decision model for resource allocation is built.And the method of system de-composition and coordination is designed.An algorithm of pieccwise linearization is designed to solve the resouree allocation problem. The algorithm is proved to be locally convergent.Finally a numerical example is given.

Key words: objective programs, interactions, allocations

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