On a random interval graph and the maximum throughput rate in the system GI/G/1/0

W.M. Nawijn

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Abstract

The paper gives an explicit expression for the expectation of the maximum attainable fraction of served customers in the long run for the single-server loss system GI/GI1/0, under the assumption of perfect information regarding the sequences {X,, i = 1, 2, - - - } and {Yi, i = 1, 2, ..--- } of interarrival times and service times, respectively. A heavy traffic result for this fraction is obtained for the system GI/M/1/0. The general result is based on an analysis of the random interval graph corresponding to the random intervals {[Ti, T1 + Y), i = 1,2,... }, in which { I} denotes the sequence of arrival epochs.
Original languageUndefined
Pages (from-to)945-956
Number of pages12
JournalAdvances in applied probability
Volume23
Issue number4
Publication statusPublished - 1991

Keywords

  • IR-98369
  • METIS-140489

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