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Efficient Solutions in Multiobjective Tree Network Location Problems

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  • Timothy J. Lowe

    (Purdue University, West Lafayette, Indiana)

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.

Suggested Citation

  • Timothy J. Lowe, 1978. "Efficient Solutions in Multiobjective Tree Network Location Problems," Transportation Science, INFORMS, vol. 12(4), pages 298-316, November.
  • Handle: RePEc:inm:ortrsc:v:12:y:1978:i:4:p:298-316
    DOI: 10.1287/trsc.12.4.298
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    Cited by:

    1. Adel A. Aly & Boubekeur Rahali, 1990. "Analysis of a bicriteria location model," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(6), pages 937-944, December.
    2. P B Mirchandani & A Oudjit, 1982. "Probabilistic Demands and Costs in Facility Location Problems," Environment and Planning A, , vol. 14(7), pages 917-932, July.
    3. Avella, P. & Benati, S. & Canovas Martinez, L. & Dalby, K. & Di Girolamo, D. & Dimitrijevic, B. & Ghiani, G. & Giannikos, I. & Guttmann, N. & Hultberg, T. H. & Fliege, J. & Marin, A. & Munoz Marquez, , 1998. "Some personal views on the current state and the future of locational analysis," European Journal of Operational Research, Elsevier, vol. 104(2), pages 269-287, January.

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