Tandem queues with bulk arrivals, infinitely many servers and correlated service times

Ushio Sumita, Yasushi Masuda

研究成果: Article査読

4 被引用数 (Scopus)

抄録

A system of GIx/G/∞ queues in tandem is considered where the service times of a customer are correlated but the service time vectors for customers are independently and identically distributed. It is shown that the binomial moments of the joint occupancy distribution can be generated by a sequence of renewal equations. The distribution of the joint occupancy level is then expressed in terms of the binomial moments. Numerical experiments for a two-station tandem queueing system demonstrate a somewhat counter-intuitive result that the transient covariance of the joint occupancy level decreases as the covariance of the service times increases. It is also shown that the analysis is valid for a network of GIx/SM/∞ queues.

本文言語English
ページ(範囲)248-257
ページ数10
ジャーナルJournal of Applied Probability
34
1
DOI
出版ステータスPublished - 1997 3

ASJC Scopus subject areas

  • 統計学および確率
  • 数学 (全般)
  • 統計学、確率および不確実性

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