A Study Of Bed Occupancy Management In The Healthcare System Using The M/M/C Queue And Probability

Authors

DOI:

https://doi.org/10.55938/ijgasr.v2i1.36

Keywords:

M/M/C Queue, Bed Occupancy, Patients Movement, Probability, Queuing Theory, Expectation

Abstract

Many diverse healthcare systems, including hospitals, laboratories, pharmaceutical business, radiology, organ transplant etc. have been modelled and studied using queuing models. Due to their analytical nature and capacity for speedy resolution, queueing models are well-liked by researchers and system designers and can offer reasonably accurate assessments of system performance. The problem of allocating the ideal number of beds to different wards, as well as assigning roles to doctors in various hospital wards and outside the hospital, is one that health care management is now dealing with. In this paper, we will use (M/M/C) queue to explore bed occupancy management, patient movement, and ideal bed counts in hospitals. Additionally, we will look for the probability that a patient will be chosen for a bed allocation and the expected occupancy rates for a specific time frame.

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References

Gautam, Natrajan(2012).Analysis of Queues: Methods and applications. CRC press. ISBN 9781439806586. DOI: https://doi.org/10.1201/b11858

Cooper RB, “Introduction to queing Theory”, McMillan Newyork (1972).

Tijms HC, Stochastic modeling and analysis. A computational approach, wiley: chichester(1986).

Cox DR, Renewal theory. Methuen:London.(1962)

Worthington DJ, Queing models for hospital waiting lists. J opl Res soc 38:413- 422.(1987) DOI: https://doi.org/10.1057/jors.1987.69

Worthington DJ, Hospital waiting list management models. J opl Res Soc 42:833-843(1991). DOI: https://doi.org/10.1038/sj/jors/0421002

Worthington D and Wall A “Using the Discrete time modeling approach to evaluate the time dependent behavior of queing systems”. Jopl Res Soc 50;777-888.(1999) DOI: https://doi.org/10.2307/3010337

J.D.C.Little, “A proof for queing formula:L=λW”, operation research,vol.9(3),1961,pp.383-387,doi:10.2307/167570. DOI: https://doi.org/10.1287/opre.9.3.383

Taha A. Hamdy, “Operations Research: An Introduction”, ninth edition, chapter 16-Queing system pp.648-651, ISBN 9780132555937, published by Pearson Education Inc. (2011).

Patel Bhavin, Bathwala Pravin, “M/M/C queing model for bed occupancy management”,IJERA,Vol.2,Issue 4,pp.776-778,ISSN:2248-9622,july-Aug 2012.

Gorunescu F,Mc Clean SI, Millard PH, “A queueing model for bed –occupancy management and Planning of hospitals”, Journal of Operation research Society(2002)53,19-24.DOI:10.1057/palgrave/jors/2601244. DOI: https://doi.org/10.1057/palgrave/jors/2601244

Published

2023-03-30

How to Cite

Rathore, R. (2023). A Study Of Bed Occupancy Management In The Healthcare System Using The M/M/C Queue And Probability. International Journal for Global Academic & Scientific Research, 2(1), 01–06. https://doi.org/10.55938/ijgasr.v2i1.36