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1 results

  • A correlated queue with infinitely many servers

  • C. Langaris
  • Journal:
    Journal of Applied Probability / Volume 23 / Issue 1 / March 1986
    Published online by Cambridge University Press:
    14 July 2016, pp. 155-165
    Print publication:
    March 1986

  • This work analyses a queueing mechanism with infinitely many servers in which the interarrival interval T preceding the arrival of a customer and his service time S are assumed correlated. A bivariate distribution with negative exponential marginals is used and the Laplace transforms pn (z) of the system probabilities in transient state are obtained. Closed-form expressions for the steady-state probabilities pn and their moments are given too. Finally the output process is investigated and conclusions are drawn from numerical calculations.