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Optimal Locations for a Class of Nonlinear, Single-Facility Location Problems on a Network

Author

Listed:
  • D. R. Shier

    (Clemson University, Clemson, South Carolina)

  • P. M. Dearing

    (Clemson University, Clemson, South Carolina)

Abstract

This paper investigates a class of single-facility location problems on an arbitrary network. Necessary and sufficient conditions are obtained for characterizing locally optimal locations with respect to a certain nonlinear objective function. This approach produces a number of new results for locating a facility on an arbitrary network, and in addition it unifies several known results for the special case of tree networks. It also suggests algorithmic procedures for obtaining such optimal locations.

Suggested Citation

  • D. R. Shier & P. M. Dearing, 1983. "Optimal Locations for a Class of Nonlinear, Single-Facility Location Problems on a Network," Operations Research, INFORMS, vol. 31(2), pages 292-303, April.
    • Handle: RePEc:inm:oropre:v:31:y:1983:i:2:p:292-303
    DOI: 10.1287/opre.31.2.292
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    Cited by:

    1. Jianfeng Lu & Qiang Yang, 2022. "Location Optimization of Emergency Station for Dangerous Goods Accidents Considering Risk," Sustainability, MDPI, vol. 14(10), pages 1-11, May.
    2. Rafael Blanquero & Emilio Carrizosa & Amaya Nogales-Gómez & Frank Plastria, 2014. "Single-facility huff location problems on networks," Annals of Operations Research, Springer, vol. 222(1), pages 175-195, November.
    3. Zhi-Chun Li & Qian Liu, 2020. "Optimal deployment of emergency rescue stations in an urban transportation corridor," Transportation, Springer, vol. 47(1), pages 445-473, February.
    4. R. Francis & T. Lowe & M. Rayco & A. Tamir, 2009. "Aggregation error for location models: survey and analysis," Annals of Operations Research, Springer, vol. 167(1), pages 171-208, March.
    5. R. L. Francis & T. J. Lowe & Arie Tamir, 2000. "Aggregation Error Bounds for a Class of Location Models," Operations Research, INFORMS, vol. 48(2), pages 294-307, April.

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