HEAVY TRAFFIC APPROXIMATION METHODS FOR OPTIMIZING TANDEM MULTISERVER QUEUING SYSTEMS IN ANTENATAL CLINICS

Ailobhio, D.T., Owolabi, T. I. and Ayoo, P.V. (2020). Application of Queuing Theory in Antenatal Clinics. IOSR Journal of Mathematics (IOSR-JM), 12(6), 42-47.

Azraii, A.B., Kamaruddin, K.N. and Ariffin, F. (2017). An assessment of patient waiting and consultation time in a primary healthcare clinic. Malaysian Family Physician, 12(1), 1421.

Chen, H. and Yao, D. (2001), Fundamentals of Queueing Networks. Springer Series in Operations Research. New York. https://doi.org/10.1007/978-1-4757-5301-1 DOI: https://doi.org/10.1007/978-1-4757-5301-1

Emenonye, E. C., Nwakego, S. O. and Ehiwario, J. C. (2022). Queueing Theory in Solving Tele-Traffic Problem. FUDMA Journal of Sciences (FJS), 6(4), 191-194. https://doi.org/10.33003/f js-2022-0604-1063 DOI: https://doi.org/10.33003/fjs-2022-0604-1063

Green, L. and Savin S. (2006). Providing Timely Access to Medical Care: A Queueing Model. Graduate School of Business, Columbia University. www.researchgate.net

Green, L., Savin, S. and Wang, B. (2006). Managing Patients Service in a Diagnostic Medical Facility. INFORMS, 54(1), 11-25. https://doi.org/10.1287/opre.1060.0242 DOI: https://doi.org/10.1287/opre.1060.0242

Kingman, J.F.C. (1961) The Single Server Queue in Heavy Traffic. Mathematical Proceedings of the Cambridge Philosophical Society, 57, 902-904. http://dx.doi.org/10.1017/S0305004100036094 DOI: https://doi.org/10.1017/S0305004100036094

Kingman, J. F.C. 1964. The Heavy Traffic Approximation in the Theory of Queues. Proceedings of the Symposium on Congestion Theory.

Kollerstro m, J. (1974). Heavy Traffic Theory for Queues with Several Servers 1. J.Appl. Prob. 11, 544-552. DOI: https://doi.org/10.1017/S0021900200096327

Mala and Varma, S.P.(2016). Waiting Time Reduction in a Local Health Care Centre Using Queueing Theory. IOSR Journal of Mathematics (IOSR-JM), 12(1), 95-100. https://doi.org/10.9790/5728-121495100

Medhi, J. (2003). Stochastic Models in Queueing theory. 2nd Edition, Academic Press, California, USA.

Moon, D. and Shin, Y. (2019). Approximation of Tandem Queues with Blocking. Proceedings of the 8th International Conference on Operations Research and Enterprise Systems (ICORES), 422-428. https://doi.org/10.5220/0007469504220428. DOI: https://doi.org/10.5220/0007469504220428

Whitt, W. (1983). The Queueing Network Analyzer. The Bell System Technical Journal. 62(9), 2779-2815. DOI: https://doi.org/10.1002/j.1538-7305.1983.tb03204.x

Whitt, W. (1993). Approximations for the GI/G/m Queue. Production and Operations Management. 2(2), 114-161 DOI: https://doi.org/10.1111/j.1937-5956.1993.tb00094.x

Whitt, W. (2002). Stochastic-process limits: an introduction to stochastic-process limits and their application to queues. Springer Series in Operations Research. New York. DOI: https://doi.org/10.1007/b97479

World Health Organization (WHO). (2016), 2016 WHO Annual Care Guidelines. www.mcsprogram.org

Wu, K. and McGinnis, L. (2013), Interpolation Approximations for Queues in Series. IIE Transactions, 45, 273290. DOI: https://doi.org/10.1080/0740817X.2012.682699