A two-level open queue network with blocking and feedback

H. G. Perros

RAIRO - Operations Research - Recherche Opérationnelle (1981)

  • Volume: 15, Issue: 1, page 27-38
  • ISSN: 0399-0559

How to cite

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Perros, H. G.. "A two-level open queue network with blocking and feedback." RAIRO - Operations Research - Recherche Opérationnelle 15.1 (1981): 27-38. <http://eudml.org/doc/104774>.

@article{Perros1981,
author = {Perros, H. G.},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {two-level open queue network; blocking; feedback; two symmetrical queues; approximate expression; generating function; queue-length distribution; open queue network; exponential, two-level service; parallel serving; exact stability condition},
language = {eng},
number = {1},
pages = {27-38},
publisher = {EDP-Sciences},
title = {A two-level open queue network with blocking and feedback},
url = {http://eudml.org/doc/104774},
volume = {15},
year = {1981},
}

TY - JOUR
AU - Perros, H. G.
TI - A two-level open queue network with blocking and feedback
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1981
PB - EDP-Sciences
VL - 15
IS - 1
SP - 27
EP - 38
LA - eng
KW - two-level open queue network; blocking; feedback; two symmetrical queues; approximate expression; generating function; queue-length distribution; open queue network; exponential, two-level service; parallel serving; exact stability condition
UR - http://eudml.org/doc/104774
ER -

References

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  1. 1. B. K. ASARE, Queue Networks with Blocking, Ph. D. Thesis, Trinity College, Dublin, 1978. 
  2. 2. P. CASEAU and G. PUJOLLE, Throughput Capacity of a Sequence of Queues with Blocking Due to Finite Waiting Room, I.E.E.E., Software Engineering Trans., 1979, pp. 631-642. Zbl0428.68002MR552426
  3. 3. W. FELLER, An Introduction to Probability Theory and its Applications, Vol. 1, Wiley, New York, 1968. Zbl0039.13201MR228020
  4. 4. F. G. FOSTER and H. G. PERROS, Hierarchical Queue Networks with Partially Shared Servicing, J. of Opl. Res. Soc, Vol. 30, 1979, pp. 157-166. Zbl0393.90029
  5. 5. F. G. FOSTER and H. G. PERROS, On the Blocking Process in Queue Networks, to appear in the European J. of Opl. Res. Zbl0444.90036MR585539
  6. 6. F. S. HILLIER and R. W. BOLING, Finite Queues in Series with Exponential or Erlang Service Times-A Numerical Approach, Opns. Res., Vol. 15, 1967, pp. 283-303. Zbl0171.16302
  7. 7. J. R. JACKSON, Networks of Waiting Lines, Opns. Res., Vol. 5, 1957, pp. 518-521. MR93061
  8. 8. L. KLEINROCK, Queueing Systems, Vol. 2, 1975, Wiley, New York. Zbl0334.60045
  9. 9. A. G. KONHEIM and M. REISER, Queueing Model with Finite Waiting Room and Blocking, J.A.C.M., Vol. 23, 1976, pp. 328-344. Zbl0327.68059MR402973
  10. 10. H. G. PERROS, Modelling a Disc I/O System : A Queue Network Approach, European J. of Opl. Res., Vol. 1, 1977, p. 139-145. Zbl0368.68064
  11. 11. B. PITTEL, Closed Exponential Networks of Queues with Blocking. The Jackson-Type Stationary Distribution and its Asymptotic analysis, I.B.M. Watson Research Center, report RC 6174 (# 26548), 1976. Zbl0418.60089

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