Publication Cover
Statistics
A Journal of Theoretical and Applied Statistics
Volume 17, 1986 - Issue 3
18
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Some poisson approximations for departure processes in general queueing networks

Pages 393-405 | Received 01 Jul 1983, Published online: 27 Jun 2007

References

  • Barboue , A.D. 1976 . Networks of queues and a method of stages . Adv. Appl. Prob , 8 : 584 – 591 .
  • Brown , T.C. 1983 . Some Poisson approximations using compensators . Ann. Probab , 11 : 726 – 744 .
  • Brown , T.C. and Pollett , P.K. 1982 . Some distributional approximations in Markovian queueing networks . Adv. Appl. Prob , 14 : 654 – 671 .
  • Chang , A. and Lavenberg , B.S. 1974 . Work rates in closed queueing netwrorks with general independent servers . Opns. Res , 22 : 847 – 883 .
  • Cox , D.R. 1955 . A use of complex probabilities in the theory of stochastic processes . Proc. Comb. Phil. Soc , 51 : 313 – 319 .
  • Franken , P. , König , D. , Aendt , U. and Schmidt , V. 1981 . Queues and Point Processes , Berlin : Akademie–Verlag .
  • Jansen , U. and König , D. 1980 . Insensitivity and steady–state probabilities in product form for queueing networks . Elektron, Informationsverarb. u. Kybemetik , 16 : 385 – 397 .
  • Kelly , F.P. 1976 . Networks of queues . Adv. Appl. Prob , 8 : 416 – 432 .
  • Kelly , F.P. 1979 . Reversibility and Stochastic Networks , New York : Wiley and Sons .
  • König , D. , Matthes , K. and Nawbotzki , K. 1967 . Verallgemeinerungen der Erlangschen und Engsetschen Formeln (eine Methode in der Bedienungstheorie) , Berlin : Akademie–Verlag .
  • Pollett , P.K. 1982 . Distributional approximations for networks of queues , University of Cambridge .
  • Pollett , P.K. 1982 . Distributional approximations for networks of queues , University of Cambridge .
  • Ross , S.M. 1970 . Applied Probability Models with Optimization Applications , San Francisco : Holden–Day .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.