Exact transient expectations for queueing networks

J. Pellaumail; M. Lebah

RAIRO - Operations Research - Recherche Opérationnelle (1993)

  • Volume: 27, Issue: 4, page 389-400
  • ISSN: 0399-0559

How to cite


Pellaumail, J., and Lebah, M.. "Exact transient expectations for queueing networks." RAIRO - Operations Research - Recherche Opérationnelle 27.4 (1993): 389-400. <http://eudml.org/doc/105068>.

author = {Pellaumail, J., Lebah, M.},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {Jackson's theorem; queueing network; generating function; generalized birth-and-death processes; differential linear system},
language = {eng},
number = {4},
pages = {389-400},
publisher = {EDP-Sciences},
title = {Exact transient expectations for queueing networks},
url = {http://eudml.org/doc/105068},
volume = {27},
year = {1993},

AU - Pellaumail, J.
AU - Lebah, M.
TI - Exact transient expectations for queueing networks
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1993
PB - EDP-Sciences
VL - 27
IS - 4
SP - 389
EP - 400
LA - eng
KW - Jackson's theorem; queueing network; generating function; generalized birth-and-death processes; differential linear system
UR - http://eudml.org/doc/105068
ER -


  1. 1. W. J. ANDERSON, Continuons-Time Markov Chains, Springer Verlag, 1991. Zbl0731.60067MR1118840
  2. 2. F. BASKETT, K. M. CHANDY, R. R. MUNTZ and F. G. PALACIOS, Open, Closed and Mixed Networks of Queues with Different Classes of Customers, J.A.C.M., 1975, 22, No. 2, pp. 248-260. Zbl0313.68055MR365749
  3. 3. A. T. BHARUCHA-REID, Elements of the Theory of Markov Processes and Their Applications, McGraw Hill, 1960. Zbl0095.32803MR112177
  4. 4. U. N. BHAT and I. V. BASAWA, Queueing and Related Models, Oxford Science Publications, 1992. Zbl0771.00010MR1210556
  5. 5. Z. CHOUEERI, M. BECKER and A. L. BEYLOT, A Markov Model of Sources for ATM Traffic: Superposition of On-Off Voice, Data and Video Sources, Rapport MASI, No. 44, 1991. 
  6. 6. J.M. FOURNEAU and E. GELENBE, Multiple Class Random Networks with Product Form, Conference of the ORSA Technical Committee on Computer Science, Williamsburg, Virginie, 1992. 
  7. 7. E. GELENBE, Réseaux stochastiques ouverts avec clients négatifs et positifs, et réseaux neuronaux, C.R. Acad. Sci., 1989, t. 309, série II, pp. 979-982. MR1029869
  8. 8. E. GELENBE and G. PUJOLLE, Introduction aux réseaux de files d'attente, Eyrolles, 1982. Zbl0547.60092MR687074
  9. 9. B. V. GNEDENKO and I. N. KOVALENKO, Introduction to queueing theory, Birkhaser, 1989. Zbl0186.24502
  10. 10. D. GROSS and C. M. HARRIS, Fundamentals of queueing theory, Wiley, 1974. Zbl0949.60002MR370819
  11. 11. J. R. JACKSON, Jobshop-like queue system, Management Sci., 1963, vol. 10, pp.131-142. 
  12. 12. M. LEBAH and J. PELLAUMAIL, Moyennes et variances en regime transitoire pour certains processus de naissances et de morts généralisés, Colloque MOAD'92, Béjaia, 1992. 
  13. 13. M. LEBAH and J. PELLAUMAIL, Transient behavior for some Jackson networks, Performance Evaluation 17, 1993, pp. 115-122. Zbl0765.60093MR1211576
  14. 14. M. F. NEUTS, Matrix-geometric solutions in stochastic models, The Johns Hopkins University Press, London, 1981. Zbl0469.60002MR618123
  15. 15. J. PELLAUMAIL, Graphes, simulation, L-matrices, Hermès, Paris, 1992. Zbl0925.68336
  16. 16. T. L. SAATY, Elements of queueing theory with applications, McGraw-Hill, 1961. Zbl0100.34203MR133176

NotesEmbed ?


You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.


Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.