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Some heuristic methods for solving p-median problems with a coverage constraint

Jesús Sáez-Aguado and Paula Camelia Trandafir

European Journal of Operational Research, 2012, vol. 220, issue 2, 320-327

Abstract: The aim of this paper is to solve p-median problems with an additional coverage constraint. These problems arise in location applications, when the trade-off between distance and coverage is being calculated. Three kinds of heuristic algorithms are developed. First, local search procedures are designed both for constructing and improving feasible solutions. Second, a multistart GRASP heuristic is developed, based on the previous local search methods. Third, by employing Lagrangean relaxation methods, a very efficient Lagrangean heuristic algorithm is designed, which extends the well known algorithm of Handler and Zang, for constrained shortest path problems, to constrained p-median problems. Finally, a comparison of the computational efficiency of the developed methods is made between a variety of problems of different sizes.

Keywords: Location; p-Median; Coverage constraint; Local search; GRASP; Lagrangean relaxation (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:220:y:2012:i:2:p:320-327

DOI: 10.1016/j.ejor.2012.02.011

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