29
Views
12
CrossRef citations to date
0
Altmetric
Original Articles

Perturbation analysis of the M/M/1 queue in a markovian environment via the matrix-geometric method

&
Pages 233-246 | Received 10 Aug 1991, Accepted 15 Sep 1992, Published online: 21 Mar 2007

References

  • Chang , C. S. , Chao , X. L. and Pinedo , M. 1991 . Monotonicity Results for Queues with Doubly Stochastic Poisson Arrivals: Ross's Conjecture . Adv. Appl. Prob. , 23 : 210 – 228 .
  • Horn , R. A. and Johnson , C. R. Matrix Analysis
  • Kelly , F. P. “ Reversibility and Stochastic Networks ” . John Wiley & Sons .
  • Little , J.D.C. 1961 . A Proof of the Queueing Formula L = λW, . Operat. Res. , 9 : 383 – 387 .
  • Neuts , M. F. “ Matrix Geometric Solutions in Stochastic Models ” . John Hopkins University Press .
  • Neuts , M. F. “ Structured Stochastic Matrices of M/G/1 Type and Their Applications ” . Marcel Dekker, Inc. .
  • Ross , S. 1978 . Average Delay in Queues with Non-stationary Poisson Arrivals . J. Appl. Prob. , 15 : 602 – 609 .
  • Ross , S. Stochastic Processes , Wiley .
  • Rolski , T. 1981 . Queues with Non-stationary Input Stream: Ross's Conjecture, . Adv. Appl. Prob. , 13 : 603 – 618 .
  • Rolski , T. 1989 . Queues with Nonstationary Arrivals . Queueing Systems , 5 : 113 – 130 .
  • Stoyan , D. “ Comparison Methods for Queues and Other Stochastic Models ” . J. Wiley & Sons .

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.