Acta Mathematicae Applicatae Sinica

, Volume 9, Issue 1, pp 50–62 | Cite as

Matched queueing systems with a double input

  • Xu Guanghui (Guang-Hui Hsu) 
  • He Qiming 
  • Liu Xisuo 
Article

Abstract

In this paper, we study the matched queueing system with a double input, M o M/PH/1, where the two inputs are two independent Poisson processes, and the service time is of PH-distribution. The L.S. transforms and the expectations of the distributions of occupation time and virtual waiting time of the type-1 customer are derived. The probability that the server is working, the mean non-idle period, and the mean busy period are also derived. The related algorithms are given with numerical results.

Keywords

Service Time Poisson Process Math Application Busy Period Occupation Time 

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Copyright information

© Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A. 1993

Authors and Affiliations

  • Xu Guanghui (Guang-Hui Hsu) 
    • 1
  • He Qiming 
    • 1
  • Liu Xisuo 
    • 1
  1. 1.Institute of Applied MathematicsAcademia SinicaBeijingChina

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