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A mixed integer programming model to locate traumatic brain injury treatment units in the Department of Veterans Affairs: a case study

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  • Murray Côté
  • Siddhartha Syam
  • W. Vogel
  • Diane Cowper

Abstract

For the Department of Veterans Affairs (VA), traumatic brain injury (TBI) is a significant problem facing active duty military personnel, veterans, their families, and caregivers. The VA has designated TBI treatment as one of its physical medicine and rehabilitation special emphasis programs, thereby providing a comprehensive array of treatment services to those military personnel and veterans with TBI. Timely treatment of TBI is critical in achieving maximal recovery, and being in geographical proximity to a medical center with specialized TBI treatment services is a major determinant of whether such treatment is utilized. We present a mixed integer programming model for locating TBI treatment units in the VA. This model was developed for the VA Rehabilitation Strategic Healthcare Group to assist in locating new TBI treatment units. The optimization model assigns TBI treatment units to existing VA medical centers while minimizing the sum of patient treatment costs, patient lodging and travel costs, and the penalty costs associated with foregone treatment revenue and excess capacity utilization. We demonstrate our model with VA TBI admission data from one of the VA’s integrated service networks, and discuss the expected service and cost implications for a range of TBI treatment unit location options. Copyright Springer Science+Business Media, LLC 2007

Suggested Citation

  • Murray Côté & Siddhartha Syam & W. Vogel & Diane Cowper, 2007. "A mixed integer programming model to locate traumatic brain injury treatment units in the Department of Veterans Affairs: a case study," Health Care Management Science, Springer, vol. 10(3), pages 253-267, September.
    • Handle: RePEc:kap:hcarem:v:10:y:2007:i:3:p:253-267
    DOI: 10.1007/s10729-007-9018-7
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    References listed on IDEAS

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    1. Schweikhart, Sharon Bergman & Smith-Daniels, Vicki L., 1993. "Location and service mix decisions for a managed health care network," Socio-Economic Planning Sciences, Elsevier, vol. 27(4), pages 289-302, December.
    2. Koksalan, Murat & Sural, Haldun & Kirca, Omer, 1995. "A location-distribution application for a beer company," European Journal of Operational Research, Elsevier, vol. 80(1), pages 16-24, January.
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    Cited by:

    1. Pablo Santibáñez & Georgia Bekiou & Kenneth Yip, 2009. "Fraser Health Uses Mathematical Programming to Plan Its Inpatient Hospital Network," Interfaces, INFORMS, vol. 39(3), pages 196-208, June.
    2. Sagarkumar Hirpara & Monit Vaishnav & Pratik J. Parikh & Nan Kong & Priti Parikh, 2022. "Locating trauma centers considering patient safety," Health Care Management Science, Springer, vol. 25(2), pages 291-310, June.
    3. Andrés Miniguano-Trujillo & Fernanda Salazar & Ramiro Torres & Patricio Arias & Koraima Sotomayor, 2021. "An integer programming model to assign patients based on mental health impact for tele-psychotherapy intervention during the Covid–19 emergency," Health Care Management Science, Springer, vol. 24(2), pages 286-304, June.
    4. Rodolfo Mendoza-Gómez & Roger Z. Ríos-Mercado & Karla B. Valenzuela-Ocaña, 2019. "An Efficient Decision-Making Approach for the Planning of Diagnostic Services in a Segmented Healthcare System," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(05), pages 1631-1665, September.
    5. Benneyan, James C. & Musdal, Hande & Ceyhan, Mehmet Erkan & Shiner, Brian & Watts, Bradley V., 2012. "Specialty care single and multi-period location–allocation models within the Veterans Health Administration," Socio-Economic Planning Sciences, Elsevier, vol. 46(2), pages 136-148.
    6. Navneet Vidyarthi & Onur Kuzgunkaya, 2015. "The impact of directed choice on the design of preventive healthcare facility network under congestion," Health Care Management Science, Springer, vol. 18(4), pages 459-474, December.
    7. Liu, Shaonan & Kong, Nan & Parikh, Pratik & Wang, Mingzheng, 2023. "Optimal trauma care network redesign with government subsidy: A bilevel integer programming approach," Omega, Elsevier, vol. 119(C).

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