The two-phases-service m/m/1/n queuing system with the server breakdown and multiple vacations

Authors:
Zeng Hui;Guan Wei
Affiliations:
School of Sciences, Yanshan University, Qinhuangdao, China;School of Sciences, Yanshan University, Qinhuangdao, China
Venue:
ICICA'11 Proceedings of the Second international conference on Information Computing and Applications
Year:
2011

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Abstract

An two-phases-service M/M/1/N queuing system with the server breakdown and multiple vacations was considered. Firstly, equations of steady-state probability were derived by applying the Markov process theory. Then, we obtained matrix form solution of steady-state probability by using blocked matrix method. Finally, some performance measures of the system such as the expected number of customers in the system and the expected number of customers in the queue were also presented.