Exact Tail Asymptotics for a Double-ended Queue with Nonpersistent Customers and Nonzero Matching Time[J]. Chinese Journal of Applied Probability and Statistics. DOI: 10.12460/j.issn.1001-4268.aps.2024.2023055
Citation: Exact Tail Asymptotics for a Double-ended Queue with Nonpersistent Customers and Nonzero Matching Time[J]. Chinese Journal of Applied Probability and Statistics. DOI: 10.12460/j.issn.1001-4268.aps.2024.2023055

Exact Tail Asymptotics for a Double-ended Queue with Nonpersistent Customers and Nonzero Matching Time

  • In this paper, we study a double-ended queueing system with nonzero matching time and nonpersistent customers. For this model, we aim at studying the exact tail asymptotics for the boundary distribution, the marginal distribution and the joint distribution of the queue length, respectively. We model the queueing process as a random walk in the quarter plane. By applying the kernel method, we firstly determine the location of the dominated singularity of the unknown generating function. Then we analyze the asymptotic behaviors of the generating function at the dominated singularity. Finally, we obtain the exact tail asymptotics of the stationary distributions by using Tauberian-like theorem.
  • loading

Catalog

    Turn off MathJax
    Article Contents

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return