Analysis of Closed Unreliable Queueing Networks with Batch Movements of Customers

Tananko, Igor; Fokina, Nadezhda P.

doi:10.18500/1816-9791-2013-13-2-1-111-117

Cited by 1 publication

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“…For example, this kind of queueing networks arise naturally in the performance analysis of manufacturing systems where stations are unreliable. In article [14], an unreliable closed queueing network with batch movements is considered. Each node in the network contains the same number of servers as the number of customers in the network, the service times of customers are exponential.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Closed Unreliable Queueing Networks with Batch Service

Stankevich

Tananko

Osipov

2021

Information Technologies and Mathematical Modelling. Queueing Theory and Applications

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In this article, we study closed queuing networks with batch services of customers. Each node in the queueing network is an infinite capacity single-server queueing system under a RANDOM discipline. Customers move among the nodes following a routing matrix. We assume queueing systems in the network operate under the general batch service rule. The lower and upper bounds for the batch size are given. The batch service time is exponentially distributed. We presents an analysis of the queueing network using a Markov chain with continuous time. The qenerator matrix is constructed for the underlying Markov chain. We obtain expressions for the performance measures. In addition, we consider an unreliable case and propose an approximation. Some numerical examples are provided. The results can be used for the performance analysis manufacturing systems, production lines, trucking, ship locks.

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Section: Introductionmentioning

confidence: 99%