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A branch-and-cut method for the obnoxious p -median problem

Author:
Pietro Belotti   Martine Labbé   Francesco Maffioli and Malick M. Ndiaye  


Journal:
4OR: A Quarterly Journal of Operation Research


Issue Date:
2007


Abstract(summary):

The obnoxious p-median (OpM) problem is the repulsive counterpart of the ore known attractive p-median problem. Given a set I of cities and a set J of possible locations for obnoxious plants, a p-cardinality subset Q of J is sought, such that the sum of the distances between each city of I and the nearest obnoxious site in Q is maximised. We formulate (OpM) as a {0,1} linear programming problem and propose three families of valid inequalities whose separation problem is polynomial. We describe a branch-and-cut approach based on these inequalities and apply it to a set of instances found in the location literature. The computational results presented show the effectiveness of these inequalities for (OpM).


Page:
299-314


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