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- W2896870411 abstract "In this article, we consider a batch arrival MX/M/1 queue with two-stage vacations policy that comprises of single working vacation and multiple vacations, denoted by MX/M/1/SWV + MV. Using the matrix analytic method, we derive the probability generating function (PGF) of the stationary system size and investigate the stochastic decomposition structure of stationary system size. Further, we obtain the Laplace–Stieltjes transform (LST) of stationary sojourn time of a customer by the first passage time analysis. At last, we illustrate the effects of various parameters on the performance measures numerically and graphically by some numerical examples." @default.
- W2896870411 created "2018-10-26" @default.
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- W2896870411 date "2018-10-08" @default.
- W2896870411 modified "2023-10-02" @default.
- W2896870411 title "The analysis of M<i><sup>X</sup></i>/M/1 queue with two-stage vacations policy" @default.
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- W2896870411 doi "https://doi.org/10.1080/03610926.2018.1483514" @default.
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