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Algorithms for Spatially Competitive Network Facility-Location

Author

Listed:
  • T L Friesz

    (School of Engineering and Applied Science, University of Pennsylvania, Philadelphia, PA 19104, USA)

  • T Miller

    (American Olean Tile Co., Lansdale, PA 19446, USA)

  • R L Tobin

    (GTE Laboratories, Waltham, MA 02254, USA)

Abstract

Earlier formulations of models for locating a firm's production facilities while simultaneously determining production levels at these facilities so as to maximize the firm's profit are reviewed. In these formulations, existing firms, as well as new entrants, are assumed to act in accordance with an appropriate model of spatial equilibrium. A heuristic algorithm is developed, and numerical results presented. An exact method is also presented and tested.

Suggested Citation

  • T L Friesz & T Miller & R L Tobin, 1988. "Algorithms for Spatially Competitive Network Facility-Location," Environment and Planning B, , vol. 15(2), pages 191-203, June.
    • Handle: RePEc:sae:envirb:v:15:y:1988:i:2:p:191-203
    DOI: 10.1068/b150191
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    References listed on IDEAS

    as
    1. Donald Erlenkotter, 1977. "Facility Location with Price-Sensitive Demands: Private, Public, and Quasi-Public," Management Science, INFORMS, vol. 24(4), pages 378-386, December.
    2. Stella Dafermos & Anna Nagurney, 1984. "Sensitivity Analysis for the General Spatial Economic Equilibrium Problem," Operations Research, INFORMS, vol. 32(5), pages 1069-1086, October.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Blas Pelegrín & Pascual Fernández & María Dolores García, 2018. "Computation of Multi-facility Location Nash Equilibria on a Network Under Quantity Competition," Networks and Spatial Economics, Springer, vol. 18(4), pages 999-1017, December.
    2. Gentile, José & Alves Pessoa, Artur & Poss, Michael & Costa Roboredo, Marcos, 2018. "Integer programming formulations for three sequential discrete competitive location problems with foresight," European Journal of Operational Research, Elsevier, vol. 265(3), pages 872-881.
    3. Blas Pelegrín & Pascual Fernández & María Dolores García Pérez, 2016. "Profit maximization and reduction of the cannibalization effect in chain expansion," Annals of Operations Research, Springer, vol. 246(1), pages 57-75, November.
    4. Gunhak Lee & Morton E. O'Kelly, 2009. "Exploring Locational Equilibria In A Competitive Broadband Access Market: Theoretical Modeling Approach," Journal of Regional Science, Wiley Blackwell, vol. 49(5), pages 953-975, December.
    5. Konur, Dinçer & Geunes, Joseph, 2012. "Competitive multi-facility location games with non-identical firms and convex traffic congestion costs," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(1), pages 373-385.
    6. Wenxuan Shan & Qianqian Yan & Chao Chen & Mengjie Zhang & Baozhen Yao & Xuemei Fu, 2019. "Optimization of competitive facility location for chain stores," Annals of Operations Research, Springer, vol. 273(1), pages 187-205, February.
    7. Meng, Qiang & Huang, Yikai & Cheu, Ruey Long, 2009. "Competitive facility location on decentralized supply chains," European Journal of Operational Research, Elsevier, vol. 196(2), pages 487-499, July.
    8. Rafael Suárez‐Vega & Dolores R. Santos‐Peñate & Pablo Dorta‐González, 2004. "Competitive Multifacility Location on Networks: the (r∣Xp)‐Medianoid Problem," Journal of Regional Science, Wiley Blackwell, vol. 44(3), pages 569-588, August.

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