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On queues with dependent interarrival and service times

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  • Shun‐Chen Niu

Abstract

AnM/G/1 queueing system is studied in which the service time required by a customer is dependent on the interarrival time between his arrival and that of his predecessor Assuming the two variables are “associated,” we prove that the expected delay in this system is less than or equal to than of a conventional M/G/1 queue This conclusion has been verified via simulation by Mitchell and Paulson [9] for a special class of dependent M/M/1 queue. Their model is a special case of the one we consider here. We also study another modified GI/G/1 queue. where the arrival process and/or the service process are individually “associated”.

Suggested Citation

  • Shun‐Chen Niu, 1981. "On queues with dependent interarrival and service times," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 28(3), pages 497-501, September.
    • Handle: RePEc:wly:navlog:v:28:y:1981:i:3:p:497-501
    DOI: 10.1002/nav.3800280313
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    Cited by:

    1. Weimin Dai & Jian-Qiang Hu, 2022. "Correlated queues with service times depending on inter-arrival times," Queueing Systems: Theory and Applications, Springer, vol. 100(1), pages 41-60, February.

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