M/M/1 queuing model with ordinary maintenance and breakdowns

M. Braglia

RAIRO - Operations Research - Recherche Opérationnelle (1993)

  • Volume: 27, Issue: 1, page 1-21
  • ISSN: 0399-0559

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Braglia, M.. "M/M/1 queuing model with ordinary maintenance and breakdowns." RAIRO - Operations Research - Recherche Opérationnelle 27.1 (1993): 1-21. <http://eudml.org/doc/105049>.

@article{Braglia1993,
author = {Braglia, M.},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = { system; maintenance; breakdowns; Green function; Monte Carlo simulations; model},
language = {eng},
number = {1},
pages = {1-21},
publisher = {EDP-Sciences},
title = {M/M/1 queuing model with ordinary maintenance and breakdowns},
url = {http://eudml.org/doc/105049},
volume = {27},
year = {1993},
}

TY - JOUR
AU - Braglia, M.
TI - M/M/1 queuing model with ordinary maintenance and breakdowns
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1993
PB - EDP-Sciences
VL - 27
IS - 1
SP - 1
EP - 21
LA - eng
KW - system; maintenance; breakdowns; Green function; Monte Carlo simulations; model
UR - http://eudml.org/doc/105049
ER -

References

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  1. 1. B. AVI-ITZHAK and P. NAOR, Some Queuing Problems with the Service Station Subject to Breakdown, Opns. Res., 1963, 11, pp. 303-320. Zbl0114.34202MR162293
  2. 2. N. T. J. BAILEY, A Continuous Time Treatment of a Single Queue Using Generating Functions, J. Roy. Statist. Soc. Ser. B, 1954, 16, pp. 288-291. Zbl0058.34801MR69421
  3. 3. D. G. CHAMPERNOWNE, An Elementary Method of Solution of the Queuing Problem with a Single Server and a Constant Parameter, J. Roy. Statics. Soc. Ser. B, 1956, 18, pp. 125-128. Zbl0073.13003MR80400
  4. 4. D. P. GAVER, A Waiting Line with Interrupted Service Including Priorities, J. Roy. Statist.. Soc. Ser. B, 1962, 24, pp. 73-90. Zbl0108.31403MR141173
  5. 5. D. GROSS and C. M. HARRIS, Fundamentals of Queueing Theory, John Wiley & Sons, N.Y., 1985. Zbl0658.60122MR910687
  6. 6. C. R. HEATHCOTE, On Priority Queues, Biometrika, 1961, 48, pp. 57-63. Zbl0141.16102MR125649
  7. 7. N. K. JAISWAL, Preemptive Resume Priority Queue, Opns. Res., 1961, 9, pp. 732-742. Zbl0132.12704MR140156
  8. 8. N. K. JAISWAL, Priority Queues, Academic Press, N.Y., 1968. Zbl0179.47904MR237014
  9. 9. J. KEILSON, Queues Subject to Service Interruption, Ann. Math. Statist., 1962, 24, pp. 1314-1322. Zbl0104.36805MR141172
  10. 10. W. H. PRESS, B. P. FLANNERY, S. A. TEUKOLSKY and W. T. VETTERLINE, Numerical Recipes: Example Book (Pascal), Cambridge University Press, Cambridge, 1987. Zbl0778.65003
  11. 11. K. THIRUVENGADAM, Queuing with Breakdowns, Opns. Res., 1962, 11, pp. 62-71. Zbl0109.36701MR152030
  12. 12. H. WHITE and L. CHRISTIE, Queuing with Preemptive Priorities or with Breakdown, Opns, Res., 1958, 6, pp. 79-95. MR92283

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