A reduction approach to the repeated assignment problem

Daisuke Yokoya, Cees W. Duin and Takeo Yamada

European Journal of Operational Research, 2011, vol. 210, issue 2, 185-193

Abstract: We consider the repeated assignment problem (RAP), which is a K-fold repetition of the n × n linear assignment problem (LAP), with the additional requirement that no assignment can be repeated more than once. In actual applications K is typically much smaller than n. First, we derive upper and lower bounds respectively by a heuristic together with local search, and an efficient method solving the continuous relaxation. The latter also solves a Lagrangian relaxation, such that the related pegging test, to fix variables at zero or one, decomposes into K independent pegging tests to LAPs. These can be solved exactly by transforming them into all-pairs shortest path problems. Together with these procedures, we also employ a virtual pegging test and reduce RAP in size. Numerical experiments show that the reduced instances, with K

Keywords: Repeated; assignment; problem; Combinatorial; optimization; Relaxation; Pegging; test (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:210:y:2011:i:2:p:185-193

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