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Title of Journal: Ann Oper Res

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Abbravation: Annals of Operations Research

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Springer US

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DOI

10.1016/0021-8502(93)90385-m

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1572-9338

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Primal and dual bounds for the vertex Emphasis Ty

Authors: Juan A Díaz Dolores E Luna
Publish Date: 2016/06/27
Volume: 258, Issue: 2, Pages: 613-638
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Abstract

In this paper the vertex pmedian problem with balance constraints is studied ie 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

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