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Mathematical Models for Rural Doctor Service Efficiency: Applying Queuing Theory and Operations Research to Improve Healthcare Services

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  • Sun, Yimeng
  • Zhao, Eric

Abstract

In this paper, we explored the application of mathematical modeling and operations research techniques in optimizing healthcare delivery in rural settings. We introduced a queuing model to understand the dynamics of patient arrival rates, service rates, system utilization, and waiting times, providing crucial insights into potential areas for healthcare improvement. The paper further investigates the utilization of operations research methods such as linear programming, integer programming, and simulation-based optimization to balance service quality, patient waiting times, and operational costs. Although these techniques present their own implementation challenges, they offer a means for more effective decision-making. While rural healthcare presents unique constraints and challenges, the integration of mathematical modeling and operations research holds the promise of improving healthcare delivery and patient outcomes. Further research in this field could offer significant advancements in the sustainability and effectiveness of rural healthcare services.

Suggested Citation

  • Sun, Yimeng & Zhao, Eric, 2023. "Mathematical Models for Rural Doctor Service Efficiency: Applying Queuing Theory and Operations Research to Improve Healthcare Services," SocArXiv nvhmf, Center for Open Science.
    • Handle: RePEc:osf:socarx:nvhmf
    DOI: 10.31219/osf.io/nvhmf
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    References listed on IDEAS

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    1. Linda Green, 2006. "Queueing Analysis in Healthcare," International Series in Operations Research & Management Science, in: Randolph W. Hall (ed.), Patient Flow: Reducing Delay in Healthcare Delivery, chapter 0, pages 281-307, Springer.
    2. Kontodimopoulos, Nick & Nanos, Panagiotis & Niakas, Dimitris, 2006. "Balancing efficiency of health services and equity of access in remote areas in Greece," Health Policy, Elsevier, vol. 76(1), pages 49-57, March.
    3. S-U Rahman & D K Smith, 1999. "Deployment of rural health facilities in a developing country," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(9), pages 892-902, September.
    4. Ward Whitt, 1999. "Improving Service by Informing Customers About Anticipated Delays," Management Science, INFORMS, vol. 45(2), pages 192-207, February.
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