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A greedy evolutionary hybridization algorithm for the optimal network and quadratic assignment problem

Mouhamadou A. M. T. Baldé (), Serigne Gueye () and Babacar M. Ndiaye ()
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Mouhamadou A. M. T. Baldé: Université Cheikh Anta Diop
Serigne Gueye: Avignon Université
Babacar M. Ndiaye: Université Cheikh Anta Diop

Operational Research, 2021, vol. 21, issue 3, No 10, 1663-1690

Abstract: Abstract Our paper deals with a combinatorial optimization problem called the optimal network and quadratic assignment problem. The problem has been introduced by Los (Region Sci Urban Econ 8:21–42, 1978) as a model of an urban planning problem that consists in optimizing simultaneously the best location of the activities of an urban area (land-use), as well as the road network design (transportation network) in such a way to minimize as much as possible the routing and network costs. We propose a mixed-integer programming formulation of the problem, and a hybrid algorithm based on greedy and evolutionary heuristic methods. Some numerical experiments on randomly generated instances, and on real-life big data from Dakar city, show the efficiency of the method.

Keywords: Transportation network; Land-use plan; Quadratic assignment problem; Heuristic; Metaheuristics; Big data (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s12351-020-00549-7

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