Queue Length Analysis of a Repairable Bulk Arrival Queuing System under Double Threshold Policy, Repeated Vacations and Single SOS Facility

M.I; Afthab Begum; Fijy Jose P

doi:https://doi.org/10.14445/22315373/IJMTT-V14P504

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 14 | Number 1 | Year 2014 | Article Id. IJMTT-V14P504 | DOI : https://doi.org/10.14445/22315373/IJMTT-V14P504

Queue Length Analysis of a Repairable Bulk Arrival Queuing System under Double Threshold Policy, Repeated Vacations and Single SOS Facility

M.I,Afthab Begum , Fijy Jose P

Abstract

This paper analyses Bi-level Threshold policy for a bulk arrival queueing system with single second optional service facility and multiple vacation. In the present model the server is subject to break down during the service. Then it is sent for repair immediately and the customer just being served, waits in the service facility for the server to return from repair facility and then to complete the remaining service. The Probability Generating Functions of the system is derived using supplementary variable technique. Moreover, some important performance measures of this model are also presented with some numerical examples.

Keywords

Bi-level threshold policy, Batch arrival, Second optional service facility, Multiple vacation, Supplementary variable technique

References

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Citation :

M.I,Afthab Begum , Fijy Jose P, "Queue Length Analysis of a Repairable Bulk Arrival Queuing System under Double Threshold Policy, Repeated Vacations and Single SOS Facility," International Journal of Mathematics Trends and Technology (IJMTT), vol. 14, no. 1, pp. 24-33, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V14P504