Markovian network processes: congestion-dependent routing and processing
Proceedings of the workshop held at the Mathematical Sciences Institute Cornell University on Mathematical theory of queueing systems
Embedded Processes in Stochastic Petri Nets
IEEE Transactions on Software Engineering
Open, Closed, and Mixed Networks of Queues with Different Classes of Customers
Journal of the ACM (JACM)
State-dependent Coupling of Quasireversible Nodes
Queueing Systems: Theory and Applications
Insensitivity in processor-sharing networks
Performance Evaluation
IEEE Transactions on Software Engineering
Turning back time in Markovian process algebra
Theoretical Computer Science
Embedded Processes in Generalized Stochastic Petri Nets
PNPM '01 Proceedings of the 9th international Workshop on Petri Nets and Performance Models (PNPM'01)
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)
Short communication: Product-forms and functional rates
Performance Evaluation
Product-form solutions for models with joint-state dependent transition rates
ASMTA'10 Proceedings of the 17th international conference on Analytical and stochastic modeling techniques and applications
Product-form solution in PEPA via the reversed process
Network performance engineering
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We consider the problem of finding a decomposed solution to a queueing model where the action rates may depend on the global state space. To do this we consider regular cycles in the underlying state space and show that a semi-product-form solution exists when the functions describing the action rates have specific forms. The approach is shown in detail for two queues and shown to extend to larger systems. Although not all the results for semi-product-form solutions are entirely new, the method by which they are derived is both novel, intuitive and leads to generalisations.