Open, Closed, and Mixed Networks of Queues with Different Classes of Customers
Journal of the ACM (JACM)
A Generalized Queueing Discipline for Product Form Network Solutions
Journal of the ACM (JACM)
Mean-Value Analysis of Closed Multichain Queuing Networks
Journal of the ACM (JACM)
A Characterization of Product-Form Queuing Networks
Journal of the ACM (JACM)
Computational algorithms for closed queueing networks with exponential servers
Communications of the ACM
Mean Value Analysis fo Queueing Networks - A New Look at an Old Problem
Proceedings of the Third International Symposium on Modelling and Performance Evaluation of Computer Systems: Performance of Computer Systems
Theory, Volume 1, Queueing Systems
Theory, Volume 1, Queueing Systems
Queuing Networks with Random Selection for Service
IEEE Transactions on Software Engineering
Analysis and simulation of a model of multiprocessor networks
ACST'07 Proceedings of the third conference on IASTED International Conference: Advances in Computer Science and Technology
Performance model of a multiprocessor interconnection network: theory and simulation
SpringSim '07 Proceedings of the 2007 spring simulaiton multiconference - Volume 1
Multiprocessor networks with small buffers: theory and simulation
SpringSim '09 Proceedings of the 2009 Spring Simulation Multiconference
Latency and saturation in networks with finite buffers
Proceedings of the 14th Communications and Networking Symposium
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We present theoretical models and numerical results for performance of a multiprocessor network modeled as a ring and as a 2-dim wraparound square lattice of nodes with local processors that generate messages with rate λ per clock cycle and two or, respectively, four output ports/buffers. Two different models are considered. One assumes that the generation rate of a node depends on the intensity of the flow of arriving messages. The other model considers networks with limited buffers. The average queue lengths and average latency are obtained. The results show that the model of independent queues, which is valid for networks with homogeneous activity and infinite buffers, is not applicable, which violates the Jackson theorem.