Discrete-time GIX/Geo/1/N queue with negative customers and multiple working vacations |
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Authors: | Shan Gao Jinting Wang Deran Zhang |
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Institution: | 1. Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China;2. Department of Mathematics, Fuyang Normal College, Fuyang, Anhui 236037, China |
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Abstract: | 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. |
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Keywords: | Discrete-time finite-buffer queue Negative customers Working vacation Supplementary variable technique Embedded Markov chain |
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