标题：Discrete-time GIX/GEO/1/N queue with working vacations and vacation interruption
作者：Gao, Shan ;Liu, Zaiming ;Du, Qiwen
作者机构：[Gao, Shan ;Liu, Zaiming ] School of Mathematics, Central South University, Changsha 410075, China;[Du, Qiwen ] Information and Electrical Engineering 更多
来源：Asia-Pacific Journal of Operational Research
摘要：In this paper, we study a discrete-time finite buffer batch arrival queue with multiple geometric working vacations and vacation interruption: the server serves the customers at the lower rate rather than completely stopping during the vacation period and can come back to the normal working level once there are customers after a service completion during the vacation period, i.e., a vacation interruption happens. The service times during a service period, service times during a vacation period and vacation times are geometrically distributed. The queue is analyzed using the supplementary variable and the imbedded Markov-chain techniques. We obtain steady-state system length distributions at pre-arrival, arbitrary and outside observer's observation epochs. We also present probability generation function (p.g.f.) of actual waiting-time distribution in the system and some performance measures. © 2014 World Scientific Publishing Co. & Operational Research Society of Singapore.