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A Survey of algorithms for the generalized assignment problem

Author: Van Wassenhove, Luk N. INSEAD Area: Technology and Operations ManagementIn: European Journal of Operational Research, vol. 60, no. 3, August 1992 Language: EnglishDescription: p. 260-272.Type of document: INSEAD ArticleNote: Please ask the Library for this articleAbstract: This paper surveys algorithms for the well-known problem of finding the minimum cost assignment of jobs to agents so that each job is assigned exactly once and agents are not overloaded. All approaches seem to be based on branch-and-bound with bounds supplied through heuristics and through relaxations of the primal problem formulation. From the survey one can select building blocks for the design of one's own tailor-made algorithm. The survey also reveals that although just about every mathematical programming technique was tried on this problem. There is still a lack of a reprensentative set of test problems on which competing enumeration algorithms can be compared, as well as a shortage of effective heuristics
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This paper surveys algorithms for the well-known problem of finding the minimum cost assignment of jobs to agents so that each job is assigned exactly once and agents are not overloaded. All approaches seem to be based on branch-and-bound with bounds supplied through heuristics and through relaxations of the primal problem formulation. From the survey one can select building blocks for the design of one's own tailor-made algorithm. The survey also reveals that although just about every mathematical programming technique was tried on this problem. There is still a lack of a reprensentative set of test problems on which competing enumeration algorithms can be compared, as well as a shortage of effective heuristics

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