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Randomly Interrupted GI-G-1 Queues: Service Strategies and Stability Issues

Author

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  • Dieter Fiems
  • Bart Steyaert
  • Herwig Bruneel

Abstract

We consider a discrete-time queueing system subjected to random server interruptions. As customers arriving in the queue require generally distributed service times, the server can be interrupted during a customer's service. Therefore, nine different service strategies are proposed and analyzed using a probability generating functions approach. Performance measures under investigation include moments of steady-state buffer contents at random slot boundaries in equilibrium and moments of the customer delay. In particular we focus on the stability requirements for the strategies under consideration. Copyright Kluwer Academic Publishers 2002

Suggested Citation

  • Dieter Fiems & Bart Steyaert & Herwig Bruneel, 2002. "Randomly Interrupted GI-G-1 Queues: Service Strategies and Stability Issues," Annals of Operations Research, Springer, vol. 112(1), pages 171-183, April.
    • Handle: RePEc:spr:annopr:v:112:y:2002:i:1:p:171-183:10.1023/a:1020937324199
    DOI: 10.1023/A:1020937324199
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    Citations

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    Cited by:

    1. I. Atencia, 2015. "A discrete-time queueing system with server breakdowns and changes in the repair times," Annals of Operations Research, Springer, vol. 235(1), pages 37-49, December.
    2. Atencia-Mc.Killop, Ivan & Galán-García, José L. & Aguilera-Venegas, Gabriel & Rodríguez-Cielos, Pedro & Galán-García, MÁngeles, 2018. "A Geo[X]/G[X]/1 retrial queueing system with removal work and total renewal discipline," Applied Mathematics and Computation, Elsevier, vol. 319(C), pages 245-253.
    3. Walraevens, Joris & Maertens, Tom & Bruneel, Herwig, 2013. "A semi-preemptive priority scheduling discipline: Performance analysis," European Journal of Operational Research, Elsevier, vol. 224(2), pages 324-332.
    4. I. Atencia & P. Moreno, 2006. "A Discrete-Time Geo/ G/1 retrial queue with the server subject to starting failures," Annals of Operations Research, Springer, vol. 141(1), pages 85-107, January.
    5. I. Atencia & A. Pechinkin, 2013. "A discrete-time queueing system with optional LCFS discipline," Annals of Operations Research, Springer, vol. 202(1), pages 3-17, January.
    6. Atencia, I., 2017. "A Geo/G/1 retrial queueing system with priority services," European Journal of Operational Research, Elsevier, vol. 256(1), pages 178-186.
    7. Arnaud Devos & Joris Walraevens & Dieter Fiems & Herwig Bruneel, 2020. "Analysis of a discrete-time two-class randomly alternating service model with Bernoulli arrivals," Queueing Systems: Theory and Applications, Springer, vol. 96(1), pages 133-152, October.
    8. A. Krishnamoorthy & P. Pramod & S. Chakravarthy, 2014. "Queues with interruptions: a survey," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(1), pages 290-320, April.

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