Analysis of a Tandem Queuing System with Blocking and Group Service in the Second Node

Document Type

Article

Publication Date

6-19-2023

Publication Title

International Journal of Systems Science: Operations & Logistics

Abstract

In this paper, we study a tandem queuing system in which the arrivals occur according to a versatile Markovian point process. The buffer sizes in the first and second nodes are, respectively, infinite and finite. We incorporate the impatience of the customers in both the nodes. The service times in both nodes are assumed to be of phase type. While the services in the first node are offered on a first-come-first-served basis, we assume that in the second node the services are provided in batches of varying sizes based on two pre-determined thresholds. The system is studied as a multi-dimensional continuous time Markov chain and a few illustrative numerical examples are reported.

Volume

10

Issue

1

DOI

https://doi.org/10.1080/23302674.2023.2235270

Rights

© 2023 Informa UK Limited, trading as Taylor & Francis Group

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