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A Multimedian Problem with Interdistance Constraints

Author

Listed:
  • E Erkut

    (Department of Finance and Management Science, Faculty of Business, University of Alberta, Edmonton, Canada T6G 2R6)

  • R L Francis

    (Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL 32611, USA)

  • T J Lowe

    (Krannert Graduate School of Management, Purdue University, West Lafayette, IN 47907, USA)

Abstract

The location of n new facilities on a network when the objective function is a sum of weighted distances between new and existing facilities, plus a sum of weighted distances between new facilities is studied. Interdistance constraints which impose upper bounds on distances between facilities have been included. A linear programming approach has been developed which solves the problem exactly on any spanning tree of the network, and which yields a lower bounding problem when the network is cyclic. The gap between the best spanning tree solution and the lower bound averages about 4% in the computational studies.

Suggested Citation

  • E Erkut & R L Francis & T J Lowe, 1988. "A Multimedian Problem with Interdistance Constraints," Environment and Planning B, , vol. 15(2), pages 181-190, June.
    • Handle: RePEc:sae:envirb:v:15:y:1988:i:2:p:181-190
    DOI: 10.1068/b150181
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    References listed on IDEAS

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    1. I. Douglas Moon & Sohail S. Chaudhry, 1984. "An Analysis of Network Location Problems with Distance Constraints," Management Science, INFORMS, vol. 30(3), pages 290-307, March.
    2. L. R. Ford, Jr. & D. R. Fulkerson, 1958. "A Suggested Computation for Maximal Multi-Commodity Network Flows," Management Science, INFORMS, vol. 5(1), pages 97-101, October.
    3. David J. Eaton & Mark S. Daskin & Dennis Simmons & Bill Bulloch & Glen Jansma, 1985. "Determining Emergency Medical Service Vehicle Deployment in Austin, Texas," Interfaces, INFORMS, vol. 15(1), pages 96-108, February.
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    Cited by:

    1. Batta, Rajan & Lejeune, Miguel & Prasad, Srinivas, 2014. "Public facility location using dispersion, population, and equity criteria," European Journal of Operational Research, Elsevier, vol. 234(3), pages 819-829.

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