Optimal control of a batch service queueing system with bounded waiting time

Viliam Makiš

Kybernetika (1985)

  • Volume: 21, Issue: 4, page 262-271
  • ISSN: 0023-5954

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Makiš, Viliam. "Optimal control of a batch service queueing system with bounded waiting time." Kybernetika 21.4 (1985): 262-271. <http://eudml.org/doc/28608>.

@article{Makiš1985,
author = {Makiš, Viliam},
journal = {Kybernetika},
keywords = {batch service queueing system; Poisson process; single server; bounded control limit policies; optimal control limit; optimal regulations of service; expected average cost; infinite time horizon},
language = {eng},
number = {4},
pages = {262-271},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Optimal control of a batch service queueing system with bounded waiting time},
url = {http://eudml.org/doc/28608},
volume = {21},
year = {1985},
}

TY - JOUR
AU - Makiš, Viliam
TI - Optimal control of a batch service queueing system with bounded waiting time
JO - Kybernetika
PY - 1985
PB - Institute of Information Theory and Automation AS CR
VL - 21
IS - 4
SP - 262
EP - 271
LA - eng
KW - batch service queueing system; Poisson process; single server; bounded control limit policies; optimal control limit; optimal regulations of service; expected average cost; infinite time horizon
UR - http://eudml.org/doc/28608
ER -

References

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  1. H. A. David, Order Statistics, Wiley, New York 1970. (1970) Zbl0223.62057MR0286226
  2. R. K. Deb, R. F. Serfozo, Optimal control of batch service queues, Adv. Appl. Prob. 5 (1973), 340-361. (1973) Zbl0264.60066MR0341657
  3. A. Federgruen A. Hordijk, H. C. Tijms, Denumerable state semi-Markov decision processes with unbounded costs, average cost criterion, Stoch. Proc. Appl. 9 (1979), 223-235. (1979) MR0548842
  4. H. Mine, V. Makiš, Optimal operating policies for a stochastic clearing system with bounded waiting times, Memoirs of the Faculty of Engineering, Kyoto University 46 (1984), 1-6. (1984) MR0792444
  5. V. Makiš, Optimal control characteristics of a queueing system with batch services, Kybernetika 21 (1985), 3, 197-212. (1985) MR0806725
  6. S. M. Ross, Applied Probability Models with Optimization Applications, Holden-Day, San Francisco 1970. (1970) Zbl0213.19101MR0264792
  7. H. J. Weiss, The computation of optimal control limits for a queue with batch services, Management Sci. 25 (1979), 320-328. (1979) Zbl0426.90032MR0543385
  8. H. J. Weiss, Further results on an infinite capacity shuttle with control at a single terminal, Operations Res. 29 (1981), 1212-1217. (1981) Zbl0474.90039
  9. A. A. Yushkevich, On the semi-Markov controlled models with the average reward criterion, Teorija Verojat. i Primenen. 26 (1981), 808-815. (1981) Zbl0478.60091MR0636774

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