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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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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