Primal and dual bounds for the vertex p-median problem with balance constraints

Juan A. Díaz () and Dolores E. Luna ()
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Juan A. Díaz: Universidad de las Américas Puebla
Dolores E. Luna: Universidad de las Américas, Puebla

Annals of Operations Research, 2017, vol. 258, issue 2, No 19, 613-638

Abstract: Abstract In this paper the vertex p-median problem with balance constraints is studied (i.e. it is required to group a set of objects into groups, balanced with respect to some measures of activity). A Lagrangean relaxation scheme is proposed to obtain lower bounds and a primal heuristic is proposed to obtain upper bounds for the problem. A heuristic procedure is used to obtain feasible solutions for the problem. This heuristic procedure first provides feasible allocations given a set of medians, then improves the solutions using a median exchange procedure. Two set of instances are used to test all methods. Computational results show that the proposed methods provide good lower and upper bounds in reasonable computing times.

Keywords: Location; p-median; Lagrangean relaxation (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s10479-016-2255-8

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