Adaptive Approach Heuristics for the Generalized Assignment Problem

Economics Working Paper 288

Posted: 28 Jun 1998

See all articles by Helena Ramalhinho Dias Lourenço

Helena Ramalhinho Dias Lourenço

Universitat Pompeu

Daniel Serra

Universitat Pompeu Fabra - Faculty of Economic and Business Sciences

Abstract

The Generalized Assignment Problem consists in assigning a set of tasks to a set of agents with minimum cost. Each agent has a limited amount of a single resource and each task must be assigned to one and only one agent, requiring a certain amount of the resource of the agent. We present new metaheuristics for the generalized assignment problem based on hybrid approaches. One metaheuristic is a MAX-MIN Ant System (MMAS), an improved version of the Ant System, which was recently proposed by Stutzle and Hoos to combinatorial optimization problems, and it can be seen has an adaptive sampling algorithm that takes in consideration the experience gathered in earlier iterations of the algorithm. Moreover, the latter heuristic is combined with local search and tabu search heuristics to improve the search. A greedy randomized adaptive search heuristic (GRASP) is also proposed. Several neighborhoods are studied, including one based on ejection chains that produces good moves without increasing the computational effort. We present computational results of the comparative performance, followed by concluding remarks and ideas on future research in generalized assignment related problems.

JEL Classification: D20, D23

Suggested Citation

Ramalhinho Dias Lourenço, Helena and Serra, Daniel, Adaptive Approach Heuristics for the Generalized Assignment Problem. Economics Working Paper 288, Available at SSRN: https://ssrn.com/abstract=98650

Helena Ramalhinho Dias Lourenço (Contact Author)

Universitat Pompeu ( email )

Ramon Trias Fargas 25-27
Barcelona, 08005
Spain
+34 93 542 27 53 (Phone)
+34 93 542 17 46 (Fax)

Daniel Serra

Universitat Pompeu Fabra - Faculty of Economic and Business Sciences ( email )

Ramon Trias Fargas 25-27
Barcelona, 08005
Spain
(34) 93 542 16 66 (Phone)
(34) 93 542 17 46 (Fax)

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