Analysis of M1,M2/G1,G2/1 retrial queueing system with non-pre-emptive priority services, modified Bernoulli vacation, working breakdown, repair and reneging

J UDAYAGEETHA

doi:https://doi.org/10.14445/22315373/IJMTT-V66I4P516

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 4 | Year 2020 | Article Id. IJMTT-V66I4P516 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I4P516

Analysis of M1,M2/G1,G2/1 retrial queueing system with non-pre-emptive priority services, modified Bernoulli vacation, working breakdown, repair and reneging

J UDAYAGEETHA

Citation :

J UDAYAGEETHA, "Analysis of M1,M2/G1,G2/1 retrial queueing system with non-pre-emptive priority services, modified Bernoulli vacation, working breakdown, repair and reneging," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 4, pp. 106-112, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I4P516

Abstract

This paper considers M1,M2/G1,G2/1 general retrial queueing system with non-pre-emptive priority services. The server serves two type of units subject to modified Bernoulli vacation. After completing the service, if there are no high priority units present in the system then the server may go for a vacation. The high priority unit who find the server busy are queued in the system and the low priority unit finds the server busy, they are routed to a retrial queue that attempts to get the service. The system may become defective at any point of time when it is in operation and does not sent for repair immediately. The remaining service will be given to the unit after that only the server go for repair station. After completing the repair and vacation if there is no high priority unit then the server becomes idle. The low priority unit renege the orbit during server’s busy and unavailable periods. Using the supplementary variable technique, the steady-state distributions of the server state and stability condition are obtained.

Keywords

Priority Queueing Systems, Working Breakdown, modified Bernoulli Vacation, Retrial, Repair, Reneging.

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