Open, Closed, and Mixed Networks of Queues with Different Classes of Customers
Journal of the ACM (JACM)
A Closed-Form Solution for the Perfornance Analysis of Multiple-Bus Multiprocessor Systems
IEEE Transactions on Computers
Monte Carlo summation and integration applied to multiclass queuing networks
Journal of the ACM (JACM)
Solving product form stochastic networks with Monte Carlo summation
WSC' 90 Proceedings of the 22nd conference on Winter simulation
Product Form Queueing Networks
Performance Evaluation: Origins and Directions
On the Characterization of Product-Form Multiclass Queueing Models with Probabilistic Disciplines
ASMTA '09 Proceedings of the 16th International Conference on Analytical and Stochastic Modeling Techniques and Applications
A general result for deriving product-form solutions in markovian models
Proceedings of the first joint WOSP/SIPEW international conference on Performance engineering
SFM'07 Proceedings of the 7th international conference on Formal methods for performance evaluation
Performance engineering with product-form models: efficient solutions and applications
Proceedings of the 2nd ACM/SPEC International Conference on Performance engineering
Analysis of stochastic Petri nets with signals
Performance Evaluation
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We consider a multiclass service station with B identical exponential servers, with constant service rate &mgr;. At a station, the classes of customers are sorted into M concurrent groups ; the discipline of service is on a first come first served basis, but two customers of the same group cannot be served simultaneously. We show that product form is maintained when such stations are inserted in BCMP networks, and give closed form expressions for the steady-state probabilities.