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The Facility Location Problem with Limited Distances

Author

Listed:
  • Zvi Drezner

    (California State University-Fullerton, Fullerton, California 92634)

  • Avram Mehrez

    (Ben Gurion University, Beer Sheva, Israel)

  • George O. Wesolowsky

    (McMaster University, Hamilton, Ontario, L8S-4M4, Canada)

Abstract

In this paper we consider minisum and minimax single facility location problems where the effective service distance becomes a constant when the actual distance attains or exceeds a certain value. Properties of these problems are studied, and algorithms for their solution are presented.

Suggested Citation

  • Zvi Drezner & Avram Mehrez & George O. Wesolowsky, 1991. "The Facility Location Problem with Limited Distances," Transportation Science, INFORMS, vol. 25(3), pages 183-187, August.
    • Handle: RePEc:inm:ortrsc:v:25:y:1991:i:3:p:183-187
    DOI: 10.1287/trsc.25.3.183
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    Citations

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    Cited by:

    1. Prahalad Venkateshan & Kamlesh Mathur, 2015. "A Heuristic for the Multisource Weber Problem with Service Level Constraints," Transportation Science, INFORMS, vol. 49(3), pages 472-483, August.
    2. Pey-Chun Chen & Pierre Hansen & Brigitte Jaumard & Hoang Tuy, 1998. "Solution of the Multisource Weber and Conditional Weber Problems by D.-C. Programming," Operations Research, INFORMS, vol. 46(4), pages 548-562, August.
    3. Trampont, M. & Destré, C. & Faye, A., 2011. "Solving a continuous local access network design problem with a stabilized central column generation approach," European Journal of Operational Research, Elsevier, vol. 214(3), pages 546-558, November.
    4. Leise Kelli de Oliveira & Isabela Kopperschmidt de Oliveira & João Guilherme da Costa Braga França & Gustavo Wagner Nunes Balieiro & Jean Francisco Cardoso & Tiago Bogo & Diego Bogo & Marco Adriano Li, 2022. "Integrating Freight and Public Transport Terminals Infrastructure by Locating Lockers: Analysing a Feasible Solution for a Medium-Sized Brazilian Cities," Sustainability, MDPI, vol. 14(17), pages 1-16, August.
    5. Zvi Drezner & George O. Wesolowsky & Tammy Drezner, 2004. "The gradual covering problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(6), pages 841-855, September.
    6. Zvi Drezner & Said Salhi, 2017. "Incorporating neighborhood reduction for the solution of the planar p-median problem," Annals of Operations Research, Springer, vol. 258(2), pages 639-654, November.
    7. Zvi Drezner & Vladimir Marianov & George O. Wesolowsky, 2016. "Maximizing the minimum cover probability by emergency facilities," Annals of Operations Research, Springer, vol. 246(1), pages 349-362, November.
    8. Tammy Drezner & Zvi Drezner & Zvi Goldstein, 2010. "A stochastic gradual cover location problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 57(4), pages 367-372, June.
    9. Zvi Drezner & Jack Brimberg & Nenad Mladenović & Said Salhi, 2016. "New local searches for solving the multi-source Weber problem," Annals of Operations Research, Springer, vol. 246(1), pages 181-203, November.

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