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A branch and bound algorithm for determining locations of long-term care facilities

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  • Kim, Dong-Guen
  • Kim, Yeong-Dae

Abstract

This paper focuses on the problem of determining locations for long-term care facilities with the objective of balancing the numbers of patients assigned to the facilities. We present a branch and bound algorithm by developing dominance properties, a lower bounding scheme and a heuristic algorithm for obtaining an upper bound for the problem. For evaluation of the suggested branch and bound algorithm, computational experiments are performed on a number of test problems. Results of the experiments show that the suggested algorithm gives optimal solutions of problems of practical sizes in a reasonable amount of computation time.

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  • Kim, Dong-Guen & Kim, Yeong-Dae, 2010. "A branch and bound algorithm for determining locations of long-term care facilities," European Journal of Operational Research, Elsevier, vol. 206(1), pages 168-177, October.
    • Handle: RePEc:eee:ejores:v:206:y:2010:i:1:p:168-177
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    4. Cardoso, Teresa & Oliveira, Mónica Duarte & Barbosa-Póvoa, Ana & Nickel, Stefan, 2016. "Moving towards an equitable long-term care network: A multi-objective and multi-period planning approach," Omega, Elsevier, vol. 58(C), pages 69-85.
    5. Xu, Jing & Murray, Alan T. & Church, Richard L. & Wei, Ran, 2023. "Service allocation equity in location coverage analytics," European Journal of Operational Research, Elsevier, vol. 305(1), pages 21-37.
    6. Cardoso, Teresa & Oliveira, Mónica Duarte & Barbosa-Póvoa, Ana & Nickel, Stefan, 2015. "An integrated approach for planning a long-term care network with uncertainty, strategic policy and equity considerations," European Journal of Operational Research, Elsevier, vol. 247(1), pages 321-334.
    7. Paul Intrevado & Vedat Verter & Lucie Tremblay, 2019. "Patient-centric design of long-term care networks," Health Care Management Science, Springer, vol. 22(2), pages 376-390, June.
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