A bibliography of papers on queueing networks with finite capacity queues
Performance Evaluation - Queueing networks with finite capacity queues
A Tandem Queue with a Movable Server: An Eigenvalue Approach
SIAM Journal on Matrix Analysis and Applications
A two-stage tandem queue attended by a moving server with holding and switching costs
Queueing Systems: Theory and Applications
A Tandem Queue with Blocking and Markovian Arrival Process
Queueing Systems: Theory and Applications
A Two-Phase BMAP|G|1|N → PH|1|M – 1 System with Blocking
Automation and Remote Control
OPTIMAL CONTROL OF A TWO-STAGE TANDEM QUEUING SYSTEM WITH FLEXIBLE SERVERS
Probability in the Engineering and Informational Sciences
The BMAP/G/1/N -- · /PH/1/M tandem queue with losses
Performance Evaluation
A Tandem Queue with Coupled Processors: Computational Issues
Queueing Systems: Theory and Applications
Queueing Systems: Theory and Applications
The BMAP/G/1--·/PH/1/M tandem queue with feedback and losses
Performance Evaluation
Wireless mesh networks: a survey
Computer Networks: The International Journal of Computer and Telecommunications Networking
A tandem queueing network with feedback admission control
NET-COOP'07 Proceedings of the 1st EuroFGI international conference on Network control and optimization
A tandem queueing model with coupled processors
Operations Research Letters
A matrix-geometric approximation for tandem queues with blocking and repeated attempts
Operations Research Letters
Tandem queueing system with different types of customers
ASMTA'11 Proceedings of the 18th international conference on Analytical and stochastic modeling techniques and applications
MMAP|M|N queueing system with impatient heterogeneous customers as a model of a contact center
Computers and Operations Research
Help desk center operating model as a two-phase queueing system
Problems of Information Transmission
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A two-stage multi-server tandem queue with two types of processed customers is analyzed. The input is described by the Marked Markovian Arrival Process (MMAP). The first stage has an infinite number of servers while the second stage has a finite number of servers. The service time at the both stages has an exponential distribution. Priority customers are always admitted to the system. Non-priority customers are admitted to the system only if the number of busy servers at the second stage does not exceed some pre-assigned threshold. Queueing system's behavior is described in terms of the multi-dimensional asymptotically quasi-Toeplitz continuous time Markov chain. It allows to exploit a numerically stable algorithm for calculation of the stationary distribution of the queueing system. The loss probability at the both stages of the tandem is computed. An economic criterion of the system operation is optimized with respect to the threshold. The effect of control on the main performance measures of the system is numerically demonstrated.