# A two-level open queue network with blocking and feedback

RAIRO - Operations Research - Recherche Opérationnelle (1981)

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

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topPerros, 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

top- 1. B. K. ASARE, Queue Networks with Blocking, Ph. D. Thesis, Trinity College, Dublin, 1978.
- 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. W. FELLER, An Introduction to Probability Theory and its Applications, Vol. 1, Wiley, New York, 1968. Zbl0039.13201MR228020
- 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. 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. 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. J. R. JACKSON, Networks of Waiting Lines, Opns. Res., Vol. 5, 1957, pp. 518-521. MR93061
- 8. L. KLEINROCK, Queueing Systems, Vol. 2, 1975, Wiley, New York. Zbl0334.60045
- 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. 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. 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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