Numerical methods in Markov chain modeling
Operations Research
Open, Closed, and Mixed Networks of Queues with Different Classes of Customers
Journal of the ACM (JACM)
Calculating equilibrium probabilities for &lgr;(n)/Ck/1/N queues
PERFORMANCE '80 Proceedings of the 1980 international symposium on Computer performance modelling, measurement and evaluation
Product-form and stochastic Petri nets: a structural approach
Performance Evaluation
Performance evaluation of a synchronization station with multiple inputs and population constraints
Computers and Operations Research
On the quality variation impact of returns in remanufacturing
Computers and Industrial Engineering
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Queueing networks with synchronization mechanisms are encountered in the modeling and analysis of parallel computer systems and computer/communication networks. Exact analytical solutions of such networks are not available. In particular, due to the synchronization mechanisms. These networks do not have a product-form solution. As a result approximation methods that can provide accurate estimates of the performance parameters are of high interest. The purpose of this paper is to propose such an approximation method that applies to a fairly general class of multi-class closed queueing networks with synchronization mechanisms. The method is based on the use of a product-form approximation technique. Numerical results that show that the accuracy of the method is fairly good are provided.