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The multiple server location problem

Author

Listed:
  • O Berman

    (University of Toronto)

  • Z Drezner

    (California State University-Fullerton)

Abstract

In this paper, we introduce the Multiple Server location problem. A given number of servers are to be located at nodes of a network. Demand for these servers is generated at each node, and a subset of nodes need to be selected for locating one or more servers in each. There is no limit on the number of servers that can be established at each node. Each customer at a node selects the closest server (with demand divided equally when the closest distance is measured to more than one node). The objective is to minimize the sum of the travel time and the average time spent at the server, for all customers. The problem is formulated and analysed. Results using heuristic solution procedures: descent, simulated annealing, tabu search and a genetic algorithm are reported. The problem turns out to be a very difficult combinatorial problem when the total demand is very close to the total capacity of the servers.

Suggested Citation

  • O Berman & Z Drezner, 2007. "The multiple server location problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(1), pages 91-99, January.
    • Handle: RePEc:pal:jorsoc:v:58:y:2007:i:1:d:10.1057_palgrave.jors.2602126
    DOI: 10.1057/palgrave.jors.2602126
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Sayarshad, Hamid R. & Chow, Joseph Y.J., 2017. "Non-myopic relocation of idle mobility-on-demand vehicles as a dynamic location-allocation-queueing problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 106(C), pages 60-77.
    2. Drezner, Zvi & Eiselt, H.A., 2024. "Competitive location models: A review," European Journal of Operational Research, Elsevier, vol. 316(1), pages 5-18.
    3. Opher Baron & Oded Berman & Yael Deutsch, 2018. "On the optimality of the sequential approach for network design problems of service operations," Naval Research Logistics (NRL), John Wiley & Sons, vol. 65(5), pages 363-377, August.
    4. Robert Aboolian & Oded Berman & Zvi Drezner, 2009. "The multiple server center location problem," Annals of Operations Research, Springer, vol. 167(1), pages 337-352, March.
    5. Oded Berman & Zvi Drezner & Arie Tamir & George Wesolowsky, 2009. "Optimal location with equitable loads," Annals of Operations Research, Springer, vol. 167(1), pages 307-325, March.
    6. Qianli Zhang & Haijun Mao, 2022. "An Integrated Method for Locating Logistic Centers in a Rural Area," Sustainability, MDPI, vol. 14(9), pages 1-19, May.
    7. Eleftherios Anastasiadis & Panagiotis Angeloudis & Daniel Ainalis & Qiming Ye & Pei-Yuan Hsu & Renos Karamanis & Jose Escribano Macias & Marc Stettler, 2020. "On the Selection of Charging Facility Locations for EV-Based Ride-Hailing Services: A Computational Case Study," Sustainability, MDPI, vol. 13(1), pages 1-16, December.
    8. O Berman & Z Drezner & D Krass, 2011. "Discrete cooperative covering problems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(11), pages 2002-2012, November.
    9. Mahmoud Golabi & Seyed Mahdi Shavarani & Gokhan Izbirak, 2017. "An edge-based stochastic facility location problem in UAV-supported humanitarian relief logistics: a case study of Tehran earthquake," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 87(3), pages 1545-1565, July.
    10. Ahmadi-Javid, Amir & Hoseinpour, Pooya, 2019. "Service system design for managing interruption risks: A backup-service risk-mitigation strategy," European Journal of Operational Research, Elsevier, vol. 274(2), pages 417-431.
    11. Robert Aboolian & Oded Berman & Dmitry Krass, 2012. "Profit Maximizing Distributed Service System Design with Congestion and Elastic Demand," Transportation Science, INFORMS, vol. 46(2), pages 247-261, May.
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    13. Jee Eun Kang & Will Recker, 2015. "Strategic Hydrogen Refueling Station Locations with Scheduling and Routing Considerations of Individual Vehicles," Transportation Science, INFORMS, vol. 49(4), pages 767-783, November.

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