Discrete-time GI(X)/Geo/1/N queue with negative customers and multiple working vacations

作者：Gao Shan^*; Wang Jinting; Zhang Deran

来源：Journal of the Korean Statistical Society, 2013, 42(4): 515-528.

DOI：10.1016/j.jkss.2013.03.002

• Discrete-time finite-buffer queue
• Negative customers
• Working vacation
• Supplementary variable technique
• Embedded Markov chain

Using the supplementary variable and the embedded Markov chain method, we consider a discrete-time batch arrival finite capacity queue with negative customers and working vacations, where the RCH killing policy and partial batch rejection policy are adopted. We obtain steady-state system length distributions at pre-arrival, arbitrary and outside observer's observation epochs. Furthermore, we consider the influence of system parameters on several performance measures to demonstrate the correctness of the theoretical analysis.

• 出版日期2013-12
• 单位阜阳师范学院; 北京交通大学