An approximate analysis of the D/M/1 queue with deterministic customer impatience

George P. Cosmetatos; Gregory P. Prastacos

RAIRO - Operations Research - Recherche Opérationnelle (1985)

  • Volume: 19, Issue: 2, page 133-142
  • ISSN: 0399-0559

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Cosmetatos, George P., and Prastacos, Gregory P.. "An approximate analysis of the D/M/1 queue with deterministic customer impatience." RAIRO - Operations Research - Recherche Opérationnelle 19.2 (1985): 133-142. <http://eudml.org/doc/104874>.

@article{Cosmetatos1985,
author = {Cosmetatos, George P., Prastacos, Gregory P.},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {perishable inventory; single server queue; regular arrivals; negative exponential service times; deterministic customer impatience; heavy traffic conditions; approximations},
language = {eng},
number = {2},
pages = {133-142},
publisher = {EDP-Sciences},
title = {An approximate analysis of the D/M/1 queue with deterministic customer impatience},
url = {http://eudml.org/doc/104874},
volume = {19},
year = {1985},
}

TY - JOUR
AU - Cosmetatos, George P.
AU - Prastacos, Gregory P.
TI - An approximate analysis of the D/M/1 queue with deterministic customer impatience
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1985
PB - EDP-Sciences
VL - 19
IS - 2
SP - 133
EP - 142
LA - eng
KW - perishable inventory; single server queue; regular arrivals; negative exponential service times; deterministic customer impatience; heavy traffic conditions; approximations
UR - http://eudml.org/doc/104874
ER -

References

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  1. 1. D. Y. BARRER, Queueing with Impatient Customers and Ordered Service, Operations Research, vol. 5, 1957, p. 650-656. MR90183
  2. 2. E. BRODHEIM, C. DERMAN, G. P. PRASTACOS, On the Evaluation of a Class of Inventory Policies for Perishable Products such as Blood, Management Science, vol. 21, 1975, p. 1320-1326. Zbl0307.90022
  3. 3. J. W. COHEN, Single Server Queues with Restricted Accessibility, Journal of Engineering Mathematics, vol. 3, 1969, p. 265-284. Zbl0186.24503MR251814
  4. 4. P. D. FINCH, Deterministic Customer Impatience in the Queueing System GI/M/1, Biometrica, vol. 47, 1960, p. 45-52. Zbl0099.12606MR115226
  5. 5. B. GAVISH, P. J. SCHWEITZER, The Markovian Queue with Bounded Waiting Time, Management Science, vol. 23, 1977, p. 1349-1357. Zbl0372.60134MR652280
  6. 6. B. GNEDENKO, I. N. KOVALENKO, Introduction to Queueing Theory, Israel Program for Scientific Translation, 1968. Zbl0186.24502MR240884
  7. 7. J. LORIS-TEGHEM, On the Waiting Time Distribution in a Generalized Queueing System with Uniformly Bounded Sojourn Times, Journal of Applied Probability, vol. 9, 1972, p. 642-649. Zbl0243.60060MR381032
  8. 8. R. E. STANFORD, Reneging Phenomena in Single Channel Queues, Mathematics of Operations Research, vol. 4, 1979, p. 162-178. Zbl0405.60085MR543928
  9. 9. L. TAKACS, Introduction to the Theory of Queues, Oxford University Press, New York, 1962. Zbl0106.33502MR133880
  10. 10. G. P. COSMETATOS, G. P. PRASTACOS, An approximation for a Perishable Inventory System with fixed size periodic replacements, Adv. Management Studies, vol. 2, 1983, p. 233-239. 
  11. 11. S. NAHMIAS, Perishable Inventory Theory: A Review, Operations Research, vol. 29, 1982, p. 680-708. Zbl0486.90033
  12. 12. R. DOLL, Data Communication Networks, Prentice-Hall, 1977. 

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