QUEUING SYSTEM WITH INVERSE GAUSSIAN AND MUKHERJEE-ISLAM SERVICE TIME DISTRIBUTIONS

Authors

  • S. A. Siddiqui Mathematics and Sciences Unit, Dhofar University, Salalah, Sultanate of Oman.
  • Khaliquzzaman Khan Department of Management, Dhofar University, Salalah, Sultanate of Oman.
  • Irfan Siddiqui Department of Management Studies, Sinhagad College of Engineering, Pune, India
  • Sanjay Jain Department of Statistics, St. John's College, Agra, U.P., India

Keywords:

Queuing model, service time distribution, arrival rate, system

Abstract

A single server waiting line system with Poisson arrivals and Inverse Gaussian service times has been analyzed. The same model has been analyzed by using Mukherjee-Islam (1983) model as the service time model. Inverse Gaussian model has been used in queuing theory but the Mukherjee-Islam model which is basically a failure model has been tested first time as the service time model.

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References

Gr oss, D. and Harr is,C. M. (197 4). Fun dam en tals of Qu euin g

T h eor y, 2n d Edt ition, Joh n Wiley an d Son s, New Yor k.

Kendall, D.G. (1953). Stochastic process occurring in the theory of queues and

their analysis by the method of imbedded Markov chains, Ann. Math. Stat., Vol.

,

Mukheerji, S. P. and Islam, R. (1983). A finite range distribution of failures times,

Naval Research Logistics Quarterly, Vol. 30, p. 487 - 491.

Mur ty, T. S. (1993). Some wai ti n g ti me models wit h Bulk ser vic e,

Ph .D.. Thesis, An dhr a Un iver sti y, In dia.

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Published

2010-06-01

How to Cite

Siddiqui, S. A. ., Khan, K. ., Siddiqui, I. ., & Jain, S. . (2010). QUEUING SYSTEM WITH INVERSE GAUSSIAN AND MUKHERJEE-ISLAM SERVICE TIME DISTRIBUTIONS. Journal of Reliability and Statistical Studies, 3(01), 31–36. Retrieved from https://journals.riverpublishers.com/index.php/JRSS/article/view/22041

Issue

2010: Vol 3 Iss 1

Section

Articles