Reducing the elastic generalized assignment problem to the standard generalized assignment problem

M Büther
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M Büther: Christian-Albrechts-Universität zu Kiel

Journal of the Operational Research Society, 2010, vol. 61, issue 11, 1582-1595

Abstract: Abstract The elastic generalized assignment problem (eGAP) is a natural extension of the generalized assignment problem (GAP) where the capacities are not fixed but can be adjusted; this adjustment can be expressed by continuous variables. These variables might be unbounded or restricted by a lower or upper bound, respectively. This paper concerns techniques aiming at reducing several variants of eGAP to GAP, which enables us to employ standard approaches for the GAP. This results in a heuristic, which can be customized in order to provide solutions having an objective value arbitrarily close to the optimal.

Keywords: assignment; binary representation; capacity planning; combinatorial optimization; mixed integer programming (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1057/jors.2009.108

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