General Bulk Service Queueing System with Multiple Working Vacation

M. Jemila Parveen; Dr. M.I Afthab Begum

doi:https://doi.org/10.14445/22315373/IJMTT-V4I9P3

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 4 | Issue 9 | Year 2013 | Article Id. IJMTT-V4I9P3 | DOI : https://doi.org/10.14445/22315373/IJMTT-V4I9P3

General Bulk Service Queueing System with Multiple Working Vacation

M. Jemila Parveen, Dr. M.I Afthab Begum

Citation :

M. Jemila Parveen, Dr. M.I Afthab Begum, "General Bulk Service Queueing System with Multiple Working Vacation," International Journal of Mathematics Trends and Technology (IJMTT), vol. 4, no. 9, pp. 163-173, 2013. Crossref, https://doi.org/10.14445/22315373/IJMTT-V4I9P3

Abstract

This paper analyses a single server with bulk service queue with general arrival pattern and multiple working vacation period. The model is analyzed by using Embedded Markov Chain technique. The steady state probability distribution at pre arrival epoch and arbitrary epoch are derived and measures like mean queue length are calculated. Finally, through some numerical examples, the parametric effect on the performance measures are discussed and presented graphically.

Keywords

Working vacation, Bulk service queue, and multiple vacations.

References

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