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1 results

  • Servers in tandem with communication and manufacturing blocking

  • Part of
  • Benjamin Avi-Itzhak, Shlomo Halfin
  • Journal:
    Journal of Applied Probability / Volume 30 / Issue 2 / June 1993
    Published online by Cambridge University Press:
    14 July 2016, pp. 429-437
    Print publication:
    June 1993

  • Tandem queueing systems with blocking are frequently used in modelling of data communications and production transfer lines. We study such a system with no intermediate queues under the communication and the manufacturing blocking schemes and the assumption of just-in-time input. Explicit expressions for residence times, departure times, equilibrium throughput and some other measures of performance are obtained for the case of equal service requirements at all servers. This case is shown to be the ‘worst’ under the manufacturing blocking scheme, but not under the communication blocking scheme. An approximation formula is proposed for the equilibrium throughput in the case of exponential i.i.d. service times under the manufacturing blocking scheme.