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Conditions for Finite Ladder Height and Delay Moments

Author

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  • Ronald W. Wolff

    (University of California, Berkeley, California)

Abstract

We provide simple proofs for several known results: conditions for finite ladder height moments are obtained in a unified way for random walks under both the oscillating and drift cases. The random walk conditions are used to obtain conditions for finite delay moments for the GI / G /1 queue. The GI / G /1 conditions are then used to obtain the Kiefer and Wolfowitz conditions for finite moments of delay and of work in system for the GI / G / c queue.

Suggested Citation

  • Ronald W. Wolff, 1984. "Conditions for Finite Ladder Height and Delay Moments," Operations Research, INFORMS, vol. 32(4), pages 909-916, August.
    • Handle: RePEc:inm:oropre:v:32:y:1984:i:4:p:909-916
    DOI: 10.1287/opre.32.4.909
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    Cited by:

    1. Lin, Jianxi, 2012. "Second order asymptotics for ruin probabilities in a renewal risk model with heavy-tailed claims," Insurance: Mathematics and Economics, Elsevier, vol. 51(2), pages 422-429.

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    Keywords

    568 random walk; 681 queues;

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