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一类二阶段指派问题
引用本文:林浩,林澜. 一类二阶段指派问题[J]. 运筹与管理, 2021, 30(2): 97-101. DOI: 10.12005/orms.2021.0047
作者姓名:林浩  林澜
作者单位:1.河南工业大学 理学院,河南 郑州 450001;2.同济大学 电子与信息工程学院,上海 200092
基金项目:国家自然科学基金资助项目(11571323,61373106)
摘    要:经典的指派问题是研究资源与任务的二元匹配。作为推广,三维指派问题是研究资源、任务与作业的三元匹配。前者已有成熟的有效算法,后者是著名的NP困难问题。本文讨论介于二者之间的一类二阶段指派问题,即可分解为二阶段决策的特殊三维匹配问题,给出多项式时间算法。

关 键 词:组合最优化  指派问题  二阶段指派问题  特殊三维匹配  
收稿时间:2013-12-02

A Type of Two-stage Assignment Problem
LIN Hao,LIN Lan. A Type of Two-stage Assignment Problem[J]. Operations Research and Management Science, 2021, 30(2): 97-101. DOI: 10.12005/orms.2021.0047
Authors:LIN Hao  LIN Lan
Affiliation:1. School of Science, Henan University of Technology, Zhengzhou 450001, China;2. School of Electronics and Information Engineering, Tongji University, Shanghai 200092, China
Abstract:The classical assignment problem studies the binary matchings between the resources and tasks. As a generalization, the 3-dimensional assignment problem studies the triple matchings between the resources, tasks, and services. The former is well solved by efficient algorithms, while the latter is a well-known NP-hard problem. This paper discusses a two-stage assignment problem between these two levels, which is a special 3-dimensional assignment problem that can be decomposed into two-stage decision. Several polynomial-time algorithms are presented.
Keywords:combinatorial optimization  assignment problem  two-stage assignment problem  special 3-dimensional matching  
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