A MATHEMATICAL APPROACH TO MANAGING WAIT TIMES IN HEALTHCARE FACILITIES USING QUEUING THEORY

Abstract

Efficient management of patient wait times in healthcare facilities is critical for ensuring patient satisfaction, reducing operational costs, and improving overall healthcare delivery. Queuing theory, a mathematical framework for analyzing waiting lines, provides a robust method to model, analyze, and optimize healthcare service systems. This paper explores the application of queuing theory in healthcare, focusing on strategies to reduce wait times, allocate resources effectively, and predict patient flow. By examining various queuing models, including single-server, multi-server, and network queuing systems, this research highlights their practical applications in different healthcare scenarios such as emergency departments, outpatient clinics, and diagnostic centers. The findings underscore the potential of mathematical modeling in enhancing decision-making, improving resource utilization, and delivering timely care in the healthcare sector.