Efficient Solutions in Multiobjective Tree Network Location Problems

Timothy J. Lowe
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Timothy J. Lowe: Purdue University, West Lafayette, Indiana

Transportation Science, 1978, vol. 12, issue 4, 298-316

Abstract: Much of the literature involving the location of one or more new facilities on a network is concerned with minimizing a single objective function subject to constraints on the location variable. Here, we consider the problem of locating a single facility on a tree network where there is more than one objective function to be minimized. A constructive method is given for finding the efficient set of solutions when the objective functions are convex and the constraints define a convex set. Partial results are given for the case where the feasible region is not a convex set.

Date: 1978
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ortrsc:v:12:y:1978:i:4:p:298-316

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