Quantitative system performance: computer system analysis using queueing network models
Quantitative system performance: computer system analysis using queueing network models
Approximate analysis of open networks of queues with blocking: Tandem configurations
IEEE Transactions on Software Engineering
Mean Value Analysis for Blocking Queueing Networks
IEEE Transactions on Software Engineering
Approximate analysis of product-form type queueing networks with blocking and deadlock
Performance Evaluation
An approximation method for tandem queues with blocking
Operations Research
Exact solutions for open, closed and mixed queueing networks with rejection blocking
Theoretical Computer Science - Special issue on high performance computer systems
Some equivalencies between closed queueing networks with blocking
Performance Evaluation
Open, Closed, and Mixed Networks of Queues with Different Classes of Customers
Journal of the ACM (JACM)
A Queueing Model with Finite Waiting Room and Blocking
Journal of the ACM (JACM)
Mean-Value Analysis of Closed Multichain Queuing Networks
Journal of the ACM (JACM)
On the Exact and Approximate Throughput Analysis of Closed Queuing Networks with Blocking
IEEE Transactions on Software Engineering
Some Equivalence Properties for Queueing Networks with and without Blocking
Performance '83 Proceedings of the 9th International Symposium on Computer Performance Modelling, Measurement and Evaluation
Matrix-Geometric Solution for Finite Capacity Queues with Phase-Type Distributions
Performance '87 Proceedings of the 12th IFIP WG 7.3 International Symposium on Computer Performance Modelling, Measurement and Evaluation
General Closed Queueing Networks with Blocking
Performance '87 Proceedings of the 12th IFIP WG 7.3 International Symposium on Computer Performance Modelling, Measurement and Evaluation
A new 'building block' for performance evaluation of queueing networks with finite buffers
SIGMETRICS '84 Proceedings of the 1984 ACM SIGMETRICS conference on Measurement and modeling of computer systems
Mean Value Analysis for Blocking Queueing Networks
IEEE Transactions on Software Engineering
Survey of closed queueing networks with blocking
ACM Computing Surveys (CSUR)
Performance Evaluation of Parallel Systems by Using Unbounded Generalized Stochastic Petri Nets
IEEE Transactions on Software Engineering
A customer threshold property for closed finite queueing networks
Performance Evaluation
'Stop = recirculate' for exponential product form queueing networks with departure blocking
Operations Research Letters
Algorithmic product-form approximations of interacting stochastic models
Computers & Mathematics with Applications
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It is shown that the equilibrium-state probabilities for this type of blocking queuing network have an approximate product-form solution, which is based on normalizing the infeasible states that violate station capacities. To obtain the throughput values, a state-space transformation is introduced. This concept is based on finding a nonblocking network with an appropriate total number of jobs of which the number of feasible states is equal or approximately equal to the number of feasible states in the blocking queuing network. This guarantees that the Markov processes describing the evolution networks over time have approximately the same structure, so the throughputs of both systems are approximately equal. The approximations are validated by executing several examples and comparing them with simulation results.