文章基本信息

标题：Exploiting Structure in the Bottleneck Assignment Problem ⁎
本地全文：下载
作者：Mitchell Khoo ; Tony A. Wood ; Chris Manzie 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2020
卷号：53
期号：2
页码：3310-3315
DOI：10.1016/j.ifacol.2020.12.1493
语种：English
出版社：Elsevier
摘要：AbstractAn assignment problem arises when there exists a set of tasks that must be allocated to a set of agents. The bottleneck assignment problem (BAP) has the objective of minimising the most costly allocation of a task to an agent. Under certain conditions the structure of the BAP can be exploited such that subgroups of tasks are assigned separately with lower complexity and then merged to form a combined assignment. In particular, we discuss merging the assignments from two separate BAPs and use the solution of the subproblems to bound the solution of the combined problem. We also provide conditions for cases where the solution of the subproblems produces an exact solution to the BAP over the combined problem. We then introduce a particular algorithm for solving the BAP that takes advantage of this insight. The methods are demonstrated in a numerical case study.
关键词：KeywordsAlgorithmsDecision-makingGraph theoryAgentsOptimization problems