Title: Optimal server analysis of M/M/c queueing model to reduce the waiting time of patients in healthcare service

Authors: K. Preethi Sowndharya; J. Ebenesar Anna Bagyam

Addresses: Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore, Tamil Nadu, India ' Department of Mathematics, Karpagam Academy of Higher Education, Coimbatore 641021, India; Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore, Tamil Nadu, India

Abstract: Queueing system is a mathematical design known to be the theory of overcrowding. Healthcare organisation is one of the applications for queueing theory. This paper provides about the healthcare setting at the Arathana ortho local hospital at Pollachi. The proposed queuing model has used the multi-server system with a first come, first server queue discipline. The arrival rate follows Poisson distribution and service rate follows an exponential distribution. The actual data were collected in the ortho hospital and examined using the windows-based TORA optimisation technique. Performance measures and optimal number of servers were found. The result shows that the optimal server to serve the patients and also to reduce the waiting time of patients. The technique is manageable to utilise in the hospital.

Keywords: service cost; patients waiting time cost; optimal server level; service time.

DOI: 10.1504/IJMOR.2024.137041

International Journal of Mathematics in Operational Research, 2024 Vol.27 No.2, pp.254 - 266

Received: 18 Nov 2022
Accepted: 07 Jan 2023
Published online: 01 Mar 2024 *

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