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Location problems from the multiple criteria perspective: efficient solutions

Ogryczak W.

Archives of Control Sciences

1998

Vol. 7, no. 3/4

161-180

Location problems can be considered as multiple criteria models where for each client (spatial unit) there is defined an individual objective function, which measures quality of a location pattern with respect to the client satisfaction (e.g. it expresses the distance or travel time between the client and the assigned facility). The individual objective functions are usually conflicting when optimized. Therefore, the decision maker or planner needs to select some compromise solution for implementation. In this paper we analyze various approaches to discrete multiple facility location problems (various solution concepts) from the perspective of the multiple criteria models. We focus our analysis on two aspects of the solution concepts: if a generated solution is an efficient (Pareto-optimal) solution to the multiple criteria problem, and if the solution concept provides some control parameters allowing the decision maker to select every efficient solution of the multiple criteria problem. That means, we analyze if a solution concept complies with the optimality principle for the multiple criteria model as well as if it allows to take into account various preferences of the decision maker.