Indian Journal of Science and Technology

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Busy Period Analysis for the Discrete-time GI/Geo/1 Queue with Multiple Vacations


Affiliations
1 Department of Business Administration, Pai Chai University, Korea, Republic of
2 Department of System and Management Engineering, Kangwon National University, Korea, Republic of

We consider the discrete-time GI/Geo/1 queue with multiple geometric vacations. We derive the joint probability generating function of the length of a busy period, the number of customers served during the busy period, and the residual interarrival time at the instant the busy period ends.

Keywords

Busy Period Analysis, Component, Discrete-time Queue, General Input Queue, Multiple Vacations
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  • Busy Period Analysis for the Discrete-time GI/Geo/1 Queue with Multiple Vacations

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Authors

Kim Sung-Jin
Department of Business Administration, Pai Chai University, Korea, Republic of
Lim Dae-Eun
Department of System and Management Engineering, Kangwon National University, Korea, Republic of

Abstract


We consider the discrete-time GI/Geo/1 queue with multiple geometric vacations. We derive the joint probability generating function of the length of a busy period, the number of customers served during the busy period, and the residual interarrival time at the instant the busy period ends.

Keywords


Busy Period Analysis, Component, Discrete-time Queue, General Input Queue, Multiple Vacations



DOI: https://doi.org/10.17485/ijst%2F2015%2Fv8i15%2F75294