Analysis of a Tandem Queuing System with Blocking and Group Service in the Second Node
International Journal of Systems Science: Operations & Logistics
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.
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Dudin, S. A.; Dudin, A. D.; Dudina, O. S.; and Chakravarthy, Srinivas R., "Analysis of a Tandem Queuing System with Blocking and Group Service in the Second Node" (2023). Industrial & Manufacturing Engineering Publications. 141.