Application of Neuts' method to bulk queueing models with vacations

S. K. Matendo

RAIRO - Operations Research - Recherche Opérationnelle (1995)

  • Volume: 29, Issue: 1, page 93-117
  • ISSN: 0399-0559

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Matendo, S. K.. "Application of Neuts' method to bulk queueing models with vacations." RAIRO - Operations Research - Recherche Opérationnelle 29.1 (1995): 93-117. <http://eudml.org/doc/105099>.

@article{Matendo1995,
author = {Matendo, S. K.},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {vacation models; matrix analytic methods; single server infinite capacity queueing system},
language = {eng},
number = {1},
pages = {93-117},
publisher = {EDP-Sciences},
title = {Application of Neuts' method to bulk queueing models with vacations},
url = {http://eudml.org/doc/105099},
volume = {29},
year = {1995},
}

TY - JOUR
AU - Matendo, S. K.
TI - Application of Neuts' method to bulk queueing models with vacations
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1995
PB - EDP-Sciences
VL - 29
IS - 1
SP - 93
EP - 117
LA - eng
KW - vacation models; matrix analytic methods; single server infinite capacity queueing system
UR - http://eudml.org/doc/105099
ER -

References

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  1. 1. U. CHATTERJEE and S. P. MUKKERJEE, Two bulk queueing models with vacation periods, Cahiers du C.E.R.O., 29, 1987, p. 85-93. Zbl0634.60091MR919047
  2. 2. R. K. DEB, Optimal Control of bulk queues with compound Poisson arrivals and batch service, Opsearch, 21, (4), 1984, p. 227-245. Zbl0552.60092MR777833
  3. 3. B. T. DOSHI, Queueing Systems with vacations. A survey, Queueing Syst., 1, 1986, p. 29-66. Zbl0655.60089MR896237
  4. 4. O. KELLA, Optimal control of the vacation scheme in an M/G/1 queue, Opns. Res., 38, 1990, p. 724-728. Zbl0719.90033MR1067472
  5. 5. G. LATOUCHE, Distributions de type phase: tutorial, Cahiers du C.E.R.O., 31, 1989, p. 3-11. Zbl0696.60024MR1036597
  6. 6. H. S. LEE and M. M. SRINIVASAN, Control policies for the Mx/G/1 queueing system, Management Science, 35, (6), 1989, p. 708-721. Zbl0671.60099MR1001484
  7. 7. H. S. LEE and M. M. SRINIVASAN, The shuttle dispatch problem with compound Poisson arrivals: controls at two terminals, Queueing Systems, (6), 1990, p. 207-222. Zbl0715.90048MR1053677
  8. 8. J. LORIS-TEGHEM, Analysis of single server queueing Systems with vacation periods, Belg. Journ. of Oper. Res., Stat and Comput. Sc., 25 1985, p. 47-54. Zbl0568.60094MR816166
  9. 9. J. LORIS-TEGHEM, On vacation models with bulk arrivals, Belg. journ. of Oper. Res., Stat. and Comput Sc., 30, (1), 1990, a, p. 53-66. Zbl0701.60099
  10. 10. J. LORIS-TEGHEM, Remark on: On vacation models with bulk arrivals, Belg. Journ. of Oper. Res., Stat and Comput. Sc, 30, (4), 1990 b, p. 53-56. Zbl0728.60097
  11. 11. S. K. MATENDO, Application of Neut's method to vacation models with bulk arrivals, Belg. Journ. of Oper. Res., Stat and Comput. Sc, 31, (1-2), 1991, p. 34-48. Zbl0742.60098
  12. 12. M. F. NEUTS, Structured stochastic matrices of M/G/1 type and their applications, Marcel Dekker, New York, 1989. Zbl0695.60088MR1010040
  13. 13. W. B. POWEL and P. HUMBLET, The bulk service queue with a general control strategy: Theoretical analysis and a new computational procedure, Opns. Res., 34, (2), 1986, p. 267-275. Zbl0612.60090MR861045
  14. 14. V. RAMASWAMI, A stable recursion for the steady state vector in Markov chains of M/G/1 type, Stoch. Mod., 4, 1988, p. 183-188. Zbl0646.60098MR938582
  15. 15. H. SCHELLHAAS, On Ramaswami's algorithm for the computation of the steady-state vector in Markov chains of M/G/1-type, Stoch. Mod., 6, 1990, p. 541-550. Zbl0702.60085MR1058353
  16. 16. S. Jr. STIDHAM, Clearing Systems and (s, S) inventory Systems with nonlinear costs and positive lead times, Opns. Res., 34, (2), 1986, p. 276-280. Zbl0618.90027MR861046
  17. 17. H. TAKAGI, Queueing analysis, vol. 1: Vacation and Priority Systems, Part. 1, North Holland, 1991. Zbl0744.60114MR1149382
  18. 18. J. Jr. TEGHEM, Control of the service process in a queueing System, Eur. J. Opns. Res., 23, 1986, p. 141-158. Zbl0583.60092MR825606

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