%0 Journal Article
%T A bi-objective model for emergency services location-allocation problem with maximum distance constraint
%A Mansoureh Haj Mohammad Hosseini
%A Mohammad Saeed Jabal Ameli
%J Management Science Letters
%D 2011
%I Growing Science
%X In this paper, a bi-objective mathematical model for emergency services location-allocation problem on a tree network considering maximum distance constraint is presented. The first objective function called centdian is a weighted mean of a minisum and a minimax criterion and the second one is a maximal covering criterion. For the solution of the bi-objective optimization problem, the problem is split in two sub problems: the selection of the best set of locations, and a demand assignment problem to evaluate each selection of locations. We propose a heuristic algorithm to characterize the efficient location point set on the network. Finally, some numerical examples are presented to illustrate the effectiveness of the proposed algorithms.
%K Centdian
%K Maximal covering
%K Capacity constraint
%K Maximum distance constraint
%U http://www.growingscience.com/msl/Vol1/msl_2010_20.pdf