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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_v1, Center for Open Science.
  • Handle: RePEc:osf:socarx:nvhmf_v1
    DOI: 10.31219/osf.io/nvhmf_v1
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