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Bibliographic Details
Main Authors: Alwan, Amir A., Ata, Barış
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2509.13748
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Table of Contents:
  • This paper studies the limiting behavior of a closed queueing network with multiple single-server and infinite-server stations. Under a heavy traffic asymptotic regime$\unicode{x2014}$where the number of jobs and single-server service rates grow large while infinite-server rates remain fixed$\unicode{x2014}$we prove a weak convergence result for the queue length and idleness process vector, providing an approximation for the original system.