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AVAILABILITY ANALYSIS OF THE QUEUEING SYSTEM GI/PH/I WITH SERVER BREAKDOWNS

AVAILABILITY ANALYSIS OF THE QUEUEING SYSTEM GI/PH/I WITH SERVER BREAKDOWNS
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摘要 In the existing literature of Repairable Queueing Systems (RQS), i.e., queueing systems with server breakdowns, it is almost all assumed that interarrival times of successive customers are independent, identically exponentially distributed. In this paper, we deal with more generic system GI/PH/1 with server's exponential uptime and phase-type repair time. With matrix analysis theory, we establish the equilibrium condition and the characteristics of the system, derive the transient and stationary availability behavior of the system.
出处 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2003年第2期177-183,共7页 系统科学与复杂性学报(英文版)
关键词 repairable queueing systems transient behavior stationary behavior markovrenewal processes 服务器 可补偿排队系统 瞬态特性 平稳性态 马尔可夫更新处理
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参考文献3

  • 1史定华,田乃硕.服务台可修的GI/M(M/PH)/1排队系统[J].应用数学学报.1995(01)
  • 2曹晋华,程侃.服务台可修的M/G/1排队系统分析[J].应用数学学报.1982(02)
  • 3Ding-Hua Shi.Probability analysis of the repairable queueing systemM/G(E k /H)/1[J].Annals of Operations Research.1990(1)

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