The Two-Phases-Service M/M/1/N Queuing System with the Server Breakdown and Multiple Vacations

  • Zeng Hui
  • Guan Wei
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7030)


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.


two phases of service the server breakdown multiple vacations steady-state probability blocked matrix method 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Zeng Hui
    • 1
  • Guan Wei
    • 1
  1. 1.School of SciencesYanshan UniversityQinhuangdaoChina

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