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Effective Algorithm and Heuristic for the Generalized Assignment Problem

Hacène Ouzia 1 Salim Haddadi
LIP6 - Laboratoire d'Informatique de Paris 6
Abstract : We present new Branch-and-Bound algorithm for the generalized assignment problem. A standard subgradient method (SM), used at each node of the decision tree to solve the Lagrangian dual, provides an upper bound. Our key contribution in this paper is a new heuristic, applied at each iteration of the SM, which tries to exploit the solution of the relaxed problem, by solving a smaller generalized assignment problem. The feasible solution found is then subjected to a solution improvement heuristic. We consider processing the root node as a Lagrangian heuristic. Computational comparisons are made with new existing methods.
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Submitted on : Wednesday, July 1, 2015 - 3:17:39 PM
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Hacène Ouzia, Salim Haddadi. Effective Algorithm and Heuristic for the Generalized Assignment Problem. European Journal of Operational Research, Elsevier, 2004, 153 (1), pp.184-190. ⟨10.1016/S0377-2217(02)00710-5⟩. ⟨hal-01170427⟩



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