Tandem service system with batch Markov flow and repeated calls

Consideration was given to the tandem queuing system (QS) whose first stage consists of a single-server system with batch Markov arrivals and repeated calls and the second stage consists of a multi-server QS without buffer. In the case of no idle servers in the second stage, the customer serviced at...

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Bibliographic Details
Published in:Automation and remote control 2010, Vol.71 (1), p.1-13
Main Authors: Klimenok, V. I., Taramin, O. S.
Format: Article
Language:English
Subjects:
CAE) and Design
Calculus of Variations and Optimal Control
Optimization
Computer-Aided Engineering (CAD
Control
Mathematics
Mathematics and Statistics
Mechanical Engineering
Mechatronics
Practical Applications
Robotics
Systems Theory
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Summary:Consideration was given to the tandem queuing system (QS) whose first stage consists of a single-server system with batch Markov arrivals and repeated calls and the second stage consists of a multi-server QS without buffer. In the case of no idle servers in the second stage, the customer serviced at the first stage either waits for server release and at that blocks the first-stage service or discharges the system being serviced incompletely. The stationary distribution of the probabilities of system states at the embedded and arbitrary time instants and the main characteristics of system performance were established. Numerical examples were presented.
ISSN:0005-1179
1608-3032
DOI:10.1134/S0005117910010017