Transient Analysis of Queueing Model

Authors

  • Shyam Sundar Sah Department of Mathematical Sciences, Kathmandu University
  • Ram Prasad Ghimire Department of Mathematical Sciences, Kathmandu University

DOI:

https://doi.org/10.3126/jie.v11i1.14711

Keywords:

Erlangian, Laplace probability, Poisson, Generating function

Abstract

This paper deals with the study of Erlangian queueing system with time dependent framework. Under our study we fnd (i) the expected number of customers in the queue (ii) the expected waiting time before being served (iii) the expected time spent in the system (iv) the expected number of customers in the system. Customers arrive in the system in Poisson fashion with rate  and served in arbitrary service time distribution with rate µ.The probability generating function technique and Laplace transform method have been used. The numerical computation has also been obtained for applicability of the model. 

Journal of the Institute of Engineering, 2015, 11(1): 165-171

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Published

2016-03-29

How to Cite

Sah, S. S., & Ghimire, R. P. (2016). Transient Analysis of Queueing Model. Journal of the Institute of Engineering, 11(1), 165–171. https://doi.org/10.3126/jie.v11i1.14711

Issue

Vol. 11 No. 1 (2015)

Section

Articles

License

The Copyright is held by Journal of the Institute of Engineering, IOE, TU