A note on the C2/G/1 queue and the C2/G/1 loss system

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In this note, we consider the steady-state probability of delay (PW) in the C2/G/1 queue and the steady-state probability of loss (ploss) in the C2/G/1 loss system, in both of which the interarrival time has a two-phase Coxian distribution. We show that, for c2x < 1, where cX is the coefficient of variation of the interarrival time, both ploss and PW are increasing in β(s), the Laplace-Stieltjes transform of the general service-time distribution. This generalises earlier results for the GE2/G/1 queue and the GE2/G/1 loss system. The practical significance of this is that, for c2X < 1, ploss in the C2/G/1 loss system and PW in the C2/G/1 queue are both increasing in the variability of the service time.

Original languageEnglish
Pages (from-to)237-241
Number of pages5
JournalQueueing Systems
Issue number1-3
StatePublished - Nov 2000
Externally publishedYes


  • Coxian density
  • Loss system
  • Queue
  • Stochastic order


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