Approximation par un processus de diffusion de files GI/GI/1 avec dépendance de l'état

G. Pujolle; Ai Wu

RAIRO - Operations Research - Recherche Opérationnelle (1985)

  • Volume: 19, Issue: 2, page 117-131
  • ISSN: 0399-0559

How to cite

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Pujolle, G., and Wu, Ai. "Approximation par un processus de diffusion de files GI/GI/1 avec dépendance de l'état." RAIRO - Operations Research - Recherche Opérationnelle 19.2 (1985): 117-131. <http://eudml.org/doc/104873>.

@article{Pujolle1985,
author = {Pujolle, G., Wu, Ai},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {approximations; simulation experiments},
language = {fre},
number = {2},
pages = {117-131},
publisher = {EDP-Sciences},
title = {Approximation par un processus de diffusion de files GI/GI/1 avec dépendance de l'état},
url = {http://eudml.org/doc/104873},
volume = {19},
year = {1985},
}

TY - JOUR
AU - Pujolle, G.
AU - Wu, Ai
TI - Approximation par un processus de diffusion de files GI/GI/1 avec dépendance de l'état
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1985
PB - EDP-Sciences
VL - 19
IS - 2
SP - 117
EP - 131
LA - fre
KW - approximations; simulation experiments
UR - http://eudml.org/doc/104873
ER -

References

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  1. 1. E. CINLARIntroduction to Stochastic processes, Engle woods N. J. Cliffs, Prentice Hall, 1975. Zbl0341.60019MR380912
  2. 2. E. GELENBE et G. PUJOLLE, Introductionaux Réseaux de Files d'Attente, Eyrolles, avril 1982. Zbl0547.60092MR687074
  3. 3. E. ARJAS, Approximation many server queues by means of single server queues, Research Report 0-27, University of Onlu, Helsinki, 1977. Zbl0392.60078
  4. 4. P. J. BURKE, The output of a queueing System, Opns. Res., vol. 4, 1956, p. 699-704. MR83416
  5. 5. N. M. MIRASOL, The output of M/M/∞ queueing System is Poisson, Opns. Res., vol. 11, 1963 , p. 282-284. Zbl0114.09401
  6. 6. H. KOBAYASHI, Application of the diffusion approximation to queueing network I, J. ACM, vol. 21, n° 2, 1974, p. 316-318. Zbl0278.60074MR350899
  7. 7. M. REISER and H. KOBAYASHI, Accuracy of the diffusion approximation for some queueing System, IBM J. res. Devel., vol. 18, n° 2, 1974 p. 110-124. Zbl0275.68014MR373056
  8. 8. E. GELENBE et G. PUJOLLE, A diffusion model for multiple class queueing networks proc. of the 3rd International symposium an Modelling, Bonn 1977. MR535041
  9. 9. J.O.C. LITTLE, A proof of the queueing formula L = גXW, Operations Research, vol. 9, n ° 3 , 1961 p. 383-387. Zbl0108.14803MR125644
  10. 10. E. GELENBE et G. PUJOLLE, Approximation to a single queue in a network, Acta Informatica, vol. 7, 1976, p. 123-136. Zbl0349.60091MR433635

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