IEEE Transactions on Computers
Web server performance measurement and modeling techniques
Performance Evaluation - Special issue on tools for performance evaluation
Open, Closed, and Mixed Networks of Queues with Different Classes of Customers
Journal of the ACM (JACM)
A Characterization of Product-Form Queuing Networks
Journal of the ACM (JACM)
ACM SIGMETRICS Performance Evaluation Review
Impact of fairness on Internet performance
Proceedings of the 2001 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
Insensitivity in processor-sharing networks
Performance Evaluation
IEEE Transactions on Software Engineering
A Multilayer Client-Server Queueing Network Model with Synchronous and Asynchronous Messages
IEEE Transactions on Software Engineering
Turning back time in Markovian process algebra
Theoretical Computer Science
Compositional reversed Markov processes, with applications to G-networks
Performance Evaluation
Separable equilibrium state probabilities via time reversal in Markovian process algebra
Theoretical Computer Science - Quantitative aspects of programming languages (QAPL 2004)
A queueing analysis of max-min fairness, proportional fairness and balanced fairness
Queueing Systems: Theory and Applications
Layered Bottlenecks and Their Mitigation
QEST '06 Proceedings of the 3rd international conference on the Quantitative Evaluation of Systems
Stability of Parallel Queueing Systems with Coupled Service Rates
Discrete Event Dynamic Systems
Steady state approximations of limited processor sharing queues in heavy traffic
Queueing Systems: Theory and Applications
Dynamic thread assignment in web server performance optimization
Performance Evaluation
Rate stability and output rates in queueing networks with shared resources
Performance Evaluation
Law of Large Number Limits of Limited Processor-Sharing Queues
Mathematics of Operations Research
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Queueing networks are studied with two stations: either in tandem or in parallel, and with a common service resource shared among the two stations. First, a necessary and sufficient criterion, called adjoint reversibility, is provided to decide whether the system possesses a product form or not. This criterion unifies both the parallel (a reversible) and the tandem (a non-reversible) system in one product-form theorem. Next, the criterion is applied separately for the parallel and tandem system to obtain a number of new product-form examples which also includes non-balanced capacity sharing. Despite, but also due to, the different parallel and tandem mechanisms we observe that for certain examples the product form has the same structure, while for others there are essential differences. In addition, it is also proven that several models cannot have a product-form result. The results provide new insights and a step forward in understanding the behavior of multi-layered queueing networks in which resources are shared among stations.