Computation of the limiting distribution in queueing systems with repeated attempts and disasters
J. R. Artalejo; A. Gómez-Corral
RAIRO - Operations Research - Recherche Opérationnelle (1999)
- Volume: 33, Issue: 3, page 371-382
- ISSN: 0399-0559
Access Full Article
topHow to cite
topArtalejo, J. R., and Gómez-Corral, A.. "Computation of the limiting distribution in queueing systems with repeated attempts and disasters." RAIRO - Operations Research - Recherche Opérationnelle 33.3 (1999): 371-382. <http://eudml.org/doc/105196>.
@article{Artalejo1999,
author = {Artalejo, J. R., Gómez-Corral, A.},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {-networks; single server queues; repeated attempts; disasters; stable recursion scheme; state probabilities},
language = {eng},
number = {3},
pages = {371-382},
publisher = {EDP-Sciences},
title = {Computation of the limiting distribution in queueing systems with repeated attempts and disasters},
url = {http://eudml.org/doc/105196},
volume = {33},
year = {1999},
}
TY - JOUR
AU - Artalejo, J. R.
AU - Gómez-Corral, A.
TI - Computation of the limiting distribution in queueing systems with repeated attempts and disasters
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1999
PB - EDP-Sciences
VL - 33
IS - 3
SP - 371
EP - 382
LA - eng
KW - -networks; single server queues; repeated attempts; disasters; stable recursion scheme; state probabilities
UR - http://eudml.org/doc/105196
ER -
References
top- 1. J. R. ARTALEJO, New results in retrial queueing Systems with breakdown of the servers, Statist. Neerlandica, 1994, 48, p. 23-36. Zbl0829.60087MR1267054
- 2. J. R. ARTALEJO and A. GOMEZ-CORRAL, Steady state solution of a single-server queue with linear request repeated, J. Appl. Probab., 1997 , 34, p. 223-233. Zbl0876.60082MR1429069
- 3. J. R. ARTALEJO and A. GOMEZ-CORRAL, Analysis of a stochastic clearing system with repeated attempts, Communications in Statistics-Stochastic Models, 1998, 14, p. 623-645. Zbl0913.60088MR1621354
- 4. R. J. BOUCHERIE and O. J. BOXMA, The workload in the M/G/1 queue with work removal, Probab. Engineering and Informational Sci., 1996, 10, p. 261-277. Zbl1095.60510MR1386640
- 5. X. CHAO, A queueing network model with catastrophes andproduct form solution, Operations Research Letters, 1995, 18, p. 75-79. Zbl0857.90042MR1361864
- 6. G.I. FALIN and J. G. C. TEMPLETON, Retrial Queues, Chapman and Hall, London, 1997. Zbl0944.60005
- 7. J. M. FOURNEAU, E. GELENBE and R. SUROS, G-Networks with multiple classes of positive and negative customers, Theoret. Comput. Sci., 1996, 155, p. 141-156. Zbl0873.68010MR1379069
- 8. E. GELENBE, P. GLYNN and K. SIGMAN, Queues with negative arrivals, J. Appl. Probab., 1991, 28, p. 245-250. Zbl0744.60110MR1090463
- 9. E. GELENBE, Queueing networks with negative and positive customers and product form solution, J. Appl. Probab., 1991, 28, p. 656-663. Zbl0741.60091MR1123837
- 10. E. GELENBE and M. SCHASSBERGER, Stability of product form G-Networks, Probab. Engineering and Informational Sci., 1992, 6, p. 271-276. Zbl1134.60396
- 11. E. GELENBE, G-Networks with triggered customer movement, J. Appl. Probab., 1993, 30, p. 742-748. Zbl0781.60088MR1232750
- 12. E. GELENBE, G-Networks with signals and batch removal, Probab. Engineering and Informational Sci., 1993, 7, p. 335-342.
- 13. E. GELENBE and A. LABED, G-Networks with multiple classes of signals and positive customers, European J. Oper. Res., 1998, 108, p. 393-405 Zbl0954.90009
- 14. P. G. HARRISON and E. PITEL, The M/G/1 queue with negative customer, Adv. Appl.Probab., 1996, 28, p. 540-566. Zbl0861.60088MR1387890
- 15. G. JAIN and K. SIGMAN, A Pollaczek-Khintchine formula for M/G/1 queues with disasters, J. Appl. Probab., 1996, 33, p. 1191-1200. Zbl0867.60082MR1416237
- 16. A. G. DE KOK, Algorithmic methods for single server Systems with repeated attempts, Statist Neerlandica, 1984, 38, p. 23-32. Zbl0547.60098MR744988
- 17. M. MARTIN and J. R. ARTALEJO, Analysis of an M/G/1 queue with two types of impatient units, Adv, Appl. Probab., 1995, 27, p. 840-861. Zbl0829.60085MR1341888
- 18. H. SCHELLHAAS, Commutation of the state probabilities in a class of semi-regenerative queueing Models, J. Janssen, Ed., Semi-Markov Models: Theory and Applications Plenum Press, New York and London, 1986, p. 111-130. MR873987
- 19. R. SERFOZO and S. STIDHAM, Semi-stationary clearing processes, Stochastic Process. Appl., 1978, 6, p. 165-178. Zbl0372.60146MR478406
- 20. S. STIDHAM, Stochastic clearing Systems, Stochastic Process. Appl., 1974, 2, p.85-113. Zbl0281.60103MR368234
- 21. H. C. TIJMS, Stochastic Models: An Algorithmic Approach, John Wiley and Sons, Chichester, 1994. Zbl0838.60075MR1314821
- 22. T. YANG and J. G. C. TEMPLETON, A survey on retrial queues, Queueing Systems, 1987, 2, p. 201-233. Zbl0658.60124MR925180
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.