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

Using the supplementary variable and the embedded Markov chain method, we considera discrete-time batch arrival finite capacity queue with negative customers and workingvacations, where the RCH killing policy and partial batch rejection policy are adopted. We obtain steady-state system length distributions at pre-arrival, arbitrary and outsideobserver’s observation epochs. Furthermore, we consider the influence of systemparameters on several performance measures to demonstrate the correctness of thetheoretical analysis. KCI Citation Count: 8