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Analysis of MAP/M/1 queue with working breakdowns

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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… Click to show full abstract

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.

Keywords: map queue; analysis map; queue working; working breakdowns

Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2018

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