Analysis of MAP/M/1 queue with working breakdowns

Qingqing Ye and Liwei Liu

Communications in Statistics - Theory and Methods, 2018, vol. 47, issue 13, 3073-3084

Abstract: In this paper, we analyze the MAP/M/1 queue with working breakdowns. The number of customers in the system in the steady state is obtained by the matrix geometric solution method. Then, several useful performance measures are provided. Furthermore, we show a recursive formula to obtain an approximation of stationary sojourn time. At last, we present several numerical examples.

Date: 2018
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DOI: 10.1080/03610926.2017.1346808

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