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- W2315388028 abstract "In this paper, we consider an M/M/1 queueing system with impatientcustomers and a variant of multiple vacation policy, where weexamine the case that customer impatience is due to the servers'vacation. Whenever a system becomes empty, the server takes avacation. However, the server is allowed to take a maximum number$K$ of vacations if the system remains empty after the end of avacation. This vacation policy includes both a single vacation andmultiple vacations as special cases. We derive the probabilitygenerating functions of the steady-state probabilities and obtainthe closed-form expressions of the system sizes when the server isin different states. We further make comparisons between the meansystem sizes under the variant vacation policy and the mean systemsizes under the single vacation policy or the multiple vacationpolicy. In addition, we obtain the closed-form expressions for otherimportant performance measures and discuss their monotonicity withrespect $K$. Finally, we present some numerical results to show theeffects of some parameters on some performance measures." @default.
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- W2315388028 date "2014-01-01" @default.
- W2315388028 modified "2023-10-16" @default.
- W2315388028 title "Analysis of an M/M/1 queueing system with impatient customers and a variant of multiple vacation policy" @default.
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- W2315388028 doi "https://doi.org/10.3934/jimo.2014.10.89" @default.
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