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Maximal Accessibility Network Design in the Public Sector

Author

Listed:
  • Robert Aboolian

    (College of Business Administration, California State University San Marcos, San Marcos, California 92096)

  • Oded Berman

    (Rotman School of Management, University of Toronto, Toronto, Ontario M5S 3E6, Canada)

  • Vedat Verter

    (Desautels Faculty of Management, McGill University, Montréal, Québec H3A 1G5, Canada)

Abstract

This paper focuses on designing facility networks in the public sector so as to maximize the number of people benefiting from their services. We develop an analytical framework for the maximal accessibility network design problem that involves determining the optimal number, locations, and capacities of a network of public sector facilities. We assume that the time spent for receiving the service from a facility is a good proxy for its accessibility. We provide a generic model that incorporates both the congestion at the facilities and the customer-choice environment that underlies most of the services offered by the public sector. We devise an ɛ-optimal algorithm for the arising nonlinear integer program. The proposed algorithm performs well in tackling fairly large problem instances. Through a realistic example based on the hospital network of Toronto, we demonstrate the model’s capability in providing policy insights.

Suggested Citation

  • Robert Aboolian & Oded Berman & Vedat Verter, 2016. "Maximal Accessibility Network Design in the Public Sector," Transportation Science, INFORMS, vol. 50(1), pages 336-347, February.
    • Handle: RePEc:inm:ortrsc:v:50:y:2016:i:1:p:336-347
    DOI: 10.1287/trsc.2015.0595
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    References listed on IDEAS

    as
    1. Zhang, Yue & Berman, Oded & Verter, Vedat, 2009. "Incorporating congestion in preventive healthcare facility network design," European Journal of Operational Research, Elsevier, vol. 198(3), pages 922-935, November.
    2. Vladimir Marianov, 2003. "Location of Multiple-Server Congestible Facilities for Maximizing Expected Demand, when Services are Non-Essential," Annals of Operations Research, Springer, vol. 123(1), pages 125-141, October.
    3. Opher Baron & Oded Berman & Dmitry Krass, 2008. "Facility Location with Stochastic Demand and Constraints on Waiting Time," Manufacturing & Service Operations Management, INFORMS, vol. 10(3), pages 484-505, August.
    4. Aboolian, Robert & Berman, Oded & Krass, Dmitry, 2007. "Competitive facility location model with concave demand," European Journal of Operational Research, Elsevier, vol. 181(2), pages 598-619, September.
    5. Mozart Menezes & O. Berman & D. Krass, 2007. "Facility Reliability Issues in Network p-Median Problems: Strategic Centralization and Co-location Effects," Post-Print halshs-00170396, HAL.
    6. 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.
    7. Berman, Oded & Krass, Dmitry & Drezner, Zvi, 2003. "The gradual covering decay location problem on a network," European Journal of Operational Research, Elsevier, vol. 151(3), pages 474-480, December.
    8. Vedat Verter & Sophie Lapierre, 2002. "Location of Preventive Health Care Facilities," Annals of Operations Research, Springer, vol. 110(1), pages 123-132, February.
    9. Oded Berman & Dmitry Krass, 2015. "Stochastic Location Models with Congestion," Springer Books, in: Gilbert Laporte & Stefan Nickel & Francisco Saldanha da Gama (ed.), Location Science, edition 127, chapter 0, pages 443-486, Springer.
    10. Vladimir Marianov & Daniel Serra, 2002. "Location–Allocation of Multiple-Server Service Centers with Constrained Queues or Waiting Times," Annals of Operations Research, Springer, vol. 111(1), pages 35-50, March.
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