RECAL—a new efficient algorithm for the exact analysis of multiple-chain closed queuing networks
Journal of the ACM (JACM)
Mean Value Analysis by Chain of Product form Queueing Networks
IEEE Transactions on Computers
A generalization of mean value analysis to higher moments: moment analysis
SIGMETRICS '86/PERFORMANCE '86 Proceedings of the 1986 ACM SIGMETRICS joint international conference on Computer performance modelling, measurement and evaluation
Open, Closed, and Mixed Networks of Queues with Different Classes of Customers
Journal of the ACM (JACM)
Mean-Value Analysis of Closed Multichain Queuing Networks
Journal of the ACM (JACM)
Optimal routing in closed queuing networks
ACM Transactions on Computer Systems (TOCS)
Computational algorithms for closed queueing networks with exponential servers
Communications of the ACM
Computer Performance Modeling Handbook
Computer Performance Modeling Handbook
Convexity and Concavity Properties of Analytic Queuing Models for Computer Systems
Performance '84 Proceedings of the Tenth International Symposium on Computer Performance Modelling, Measurement and Evaluation
Load Balancing in Distributed Systems with Multiple Classes and Site Constraints
Performance '84 Proceedings of the Tenth International Symposium on Computer Performance Modelling, Measurement and Evaluation
On the convolution algorithm for separable queuing networks
SIGMETRICS '76 Proceedings of the 1976 ACM SIGMETRICS conference on Computer performance modeling measurement and evaluation
Mean Value Analysis by Chain of Product form Queueing Networks
IEEE Transactions on Computers
A calculus of variations approach to file allocation problems in computer systems
SIGMETRICS '90 Proceedings of the 1990 ACM SIGMETRICS conference on Measurement and modeling of computer systems
A note on stable flow-equivalent aggregation in closed networks
Queueing Systems: Theory and Applications
| Hi-index | 14.98 |
Obtains simple relationships among partial derivatives and moments of mean queue lengths in product form queueing network models. It is shown that the mean value analysis equations can be used to obtain recursive expressions which make it possible to easily evaluate these moments in a mean value analysis type recursion. These results are also considered important in applications such as optimization problems and sensitivity analysis. Finally, it is shown that some known mean value equations can be easily derived from the results proven.