1649. Transient Analysis of a Single-Server Queueing System with Expired Customers and Discouraged Arrivals: Applications in Healthcare Management
Invited abstract in session WA-54: Applications in Queueing Theory, stream Stochastic modelling.
Wednesday, 8:30-10:00Room: Liberty 1.08
Authors (first author is the speaker)
| 1. | SURANGA SAMPATH MIYANAWATHURA IHALA GAMAGE
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| Department of Mathematical Sciences, Wayamba University of Sri Lanka |
Abstract
This research explores a single-server queueing system that integrates the concept of expired customers and discouraged arrivals. In this system, customer arrivals follow a Poisson process, where the arrival rate depends on the number of customers already present. Service times are assumed to be exponentially distributed, and the remaining lifetime of a critically ill patient entering the queue is also modeled as an exponential distribution. If a patient's service is not completed before their remaining lifetime expires, they are classified as expired customers. This study introduces a novel approach, particularly relevant to healthcare management systems, by analyzing how such a queue operates under these conditions. Using mathematical techniques such as the probability generating function and the Laplace transform, the study derives transient system size probabilities. Additionally, several key performance measures are computed, and numerical results are presented to illustrate the system’s behavior in the transient state. The findings provide practical insights into optimizing healthcare queue management, especially in scenarios involving critically ill patients.
Keywords
- Queuing Systems
- Health Care
- Stochastic Models
Status: accepted
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