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Some interesting processes arising as heavy traffic limits in an M/M/[infinity] storage process

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  • Aldous, David

Abstract

Recent works by Newell [13] and Coffman. [2] have studied a queuing or storage model which is most easily visualized as the process of parkins cars in a parking lot where customers park as close as they can to some fixed point. This paper describes several space-time processes which arise as heavy-traffic limits in this model, and which seem interesting in their own right.

Suggested Citation

  • Aldous, David, 1986. "Some interesting processes arising as heavy traffic limits in an M/M/[infinity] storage process," Stochastic Processes and their Applications, Elsevier, vol. 22(2), pages 291-313, July.
    • Handle: RePEc:eee:spapps:v:22:y:1986:i:2:p:291-313
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    Cited by:

    1. Angelos Aveklouris & Maria Vlasiou & Bert Zwart, 2019. "Bounds and limit theorems for a layered queueing model in electric vehicle charging," Queueing Systems: Theory and Applications, Springer, vol. 93(1), pages 83-137, October.

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