Acta mathematica scientia,Series A ›› 2008, Vol. 28 ›› Issue (6): 1109-1118.

• Articles • Previous Articles     Next Articles

The M/M/2 Repairable Queue System with Two Repairmen

Lv Shengli1|Li Jingbo2|Yue Dequan1   

  1. (1.College of Science Yanshan University, Qinhuangdao 66004|2.$Department of Mathematic Hebei Normal University of Science and Technology, Qinhuangdao 066004)
  • Received:2006-11-30 Revised:2008-08-01 Online:2008-12-25 Published:2008-12-25
  • Contact: Lv Shengli

Abstract:

In this paper, we consider the M/M/2 queueing system with service
interruptions. The rates of server breakdown are different between busy time and idle time, and there are two repairmen in the system. We obtain the steady-state probabilities of the states, the steady-state availability and
the steady-state queueing length, give the condition for the existence of the steady-state probabilities.

Key words: Repairable queueing system, Steady-state condition, Reliability, Queueing length

CLC Number: 

  • 90B
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