DETERMINATION OF THE CHARACTERISTICS OF KEY COMPONENTS OF A QUEUING MODEL USING THE PROBABILITY FUNCTION OF ITS STEADY STATE.

Authors

  • J. O. Emunefe Department of General Studies, Petroleum Training Institute, Effurun, Nigeria. Author
  • S. A. Ogumeyo Department of Mathematics and Statistics, Delta State University of Science and Technology, Ozoro Author

Keywords:

service, steady state, queue, customer

Abstract

In this paper, we review existing queuing models in literature and the general structure of the model. Basic components of a queue model are then analyzed using the steady state probability function to determine various characteristics. This includes queue length, variance of a queue, expected number of customers in the queue and expected waiting time. The three states of a queuing system which includes transient, steady and exponential states are discussed and analyzed. Consequently, the steady state is derived to show the interrelationship between the other components. 

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References

Siagian, P. (1987). Penelitian Operational: Teori dan Praklek. Jakarta: Universitas Indonesia Press.

Obamiro, J. K. (2003). Queuing Theory and Patients’ Satisfaction, An overview of Terminology and Application in Ante – natal Care Unit.http://www.upg-bulletin-se.ro.

Adele, M., Barry, S., (2005). Modelling Patients Flow in Hospitals Using Queuing Theory. Unpublished Manuscript.

Taha, H. A. (1987). An Introduction to Operations Research, 4th Edition. New York: Macmillan.

Wolff, R. W. (1989). Stochastic Modelling and the Theory of Queues. Prentice Hall, Englewood Cliffs, NJ.

Subaagyo, P., Marwan, A. (1992). Operations Research. Yogakarta: BPFE.

Kakiay, T. J. (2004). Dasar TEORI Antrian Untuk Kehindupan Nyata. Yogakarta: Andi.

Hillier, F. S. and Lieberman, G. J. (2007). ‘Introduction to Operations Research’. Pp. 790 – 805. Mcgraw – Hill Companies.

Walrand, J. (1988). An Introduction to Queuing Network. Prentice Hall, Englewood Cliff. NJ.

Chao, X., Miyazawa, M, and Pinedo, M. (1999). Queuing Networks: Customers, Signals and Product Form. Wiley, New York.

Wagner, H. M. (2001). ‘Principles of Operations Research’. Pp. 854 – 865. Prentice Hall of India.

Nordgren, B. (1999). The Problem with Waiting Times: IIE Solutions, pp. 44 – 48.

Chen, H and Yao, D. D. (2001). Fundamentals of Queuing Networks: Performance, Asymtotics and Optimization. Springer, New York.

Kembe, M. M., Onah, E. S. and Lorkegh, S. A. (2012). A Study of Waiting and Service Cost of a Multi – server Queuing Model in a Special Hospital. International Journal of Scientific and Technology Research, 5(2): 2277 – 8616.

Nugraha, Dedi (2013). Penetuan Model System Antrean Kendaraan di Tol Banyumanik. Skripsi. FSM, Statistika Universitas Diponegoro.

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Published

2022-12-01

How to Cite

DETERMINATION OF THE CHARACTERISTICS OF KEY COMPONENTS OF A QUEUING MODEL USING THE PROBABILITY FUNCTION OF ITS STEADY STATE. (2022). The Transactions of the Nigerian Association of Mathematical Physics, 18, 133-138. https://nampjournals.org.ng/index.php/tnamp/article/view/164

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