An analysis of an approximation algorithm for queueing networks
Performance Evaluation
Quantitative system performance: computer system analysis using queueing network models
Quantitative system performance: computer system analysis using queueing network models
Performance Evaluation
Bound hierarchies for multiple-class queuing networks
Journal of the ACM (JACM) - The MIT Press scientific computation series
RECAL—a new efficient algorithm for the exact analysis of multiple-chain closed queuing networks
Journal of the ACM (JACM)
A Clustering Approximation Technique for Queueing Network Models with a Large Number of Chains
IEEE Transactions on Computers
Accuracy, speed, and convergence of approximate mean value analysis
Performance Evaluation
PAM-a noniterative approximate solution method for closed multichain queueing networks
SIGMETRICS '88 Proceedings of the 1988 ACM SIGMETRICS conference on Measurement and modeling of computer systems
Calculating joint queue-length distributions in product-form queuing networks
Journal of the ACM (JACM)
Mean Value Analysis by Chain of Product form Queueing Networks
IEEE Transactions on Computers
A Note on the Computational Cost of the Linearizer Algorithm for Queueing Networks
IEEE Transactions on Computers
A tree-structured mean value analysis algorithm
ACM Transactions on Computer Systems (TOCS)
Asymptotic analysis of multiclass closed queueing networks: common bottleneck
Performance Evaluation
Asymptotic analysis of multiclass closed queueing networks: multiple bottlenecks
Performance 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)
The Distribution of Queuing Network States at Input and Output Instants
Journal of the ACM (JACM)
Iterative solution of nonlinear equations in several variables
Iterative solution of nonlinear equations in several variables
Experiments with improved approximate mean value analysis algorithms
Performance Evaluation - Special issue on modelling techniques and tools for performance evaluation
The Operational Analysis of Queueing Network Models
ACM Computing Surveys (CSUR)
A tree convolution algorithm for the solution of queueing networks
Communications of the ACM
Linearizer: a heuristic algorithm for queueing network models of computing systems
Communications of the ACM
Computational algorithms for product form queueing networks
Communications of the ACM
Computational algorithms for closed queueing networks with exponential servers
Communications of the ACM
Methods for Solving Systems of Nonlinear Equations
Methods for Solving Systems of Nonlinear Equations
A Unifying Framework for the Approximate Solution of Closed Multiclass Queuing Networks
IEEE Transactions on Computers
A Perspective on Iterative Methods for the Approximate Analysis of Closed Queueing Networks
Proceedings of the International Workshop on Computer Performance and Reliability
Some Extensions to Multiclass Queueing Network Analysis
Proceedings of the Third International Symposium on Modelling and Performance Evaluation of Computer Systems: Performance of Computer Systems
On the convolution algorithm for separable queuing networks
SIGMETRICS '76 Proceedings of the 1976 ACM SIGMETRICS conference on Computer performance modeling measurement and evaluation
Bounding algorithms for queueing network models of computer systems
Bounding algorithms for queueing network models of computer systems
Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)
A Simple Derivation of the MVA and LBANC Algorithms from the Convolution Algorithm
IEEE Transactions on Computers
Closed Queueing Networks Under Congestion: Nonbottleneck Independence and Bottleneck Convergence
Mathematics of Operations Research
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Approximate Mean Value Analysis (AMVA) is a popular technique for analyzing queueing network models due to the accuracy and efficiency that it affords. Currently, there is no algorithm that is more accurate than, and yet has the same computational cost as, the Linearizer algorithm, one of the most popular among different AMVA algorithms that trade off accuracy and efficiency. In this paper, we present a new family of AMVA algorithms, termed the General Form Linearizer (GFL) algorithms, for analyzing product-form queueing networks. The Linearizer algorithm is a special instance of this family. We show that some GFL algorithms yield more accurate solutions than, and have the same numerical properties and computational complexities as, the Linearizer algorithm. We also examine the numerical properties and computational costs of different implementations of the new and existing AMVA algorithms.