Title
A tree-structured mean value analysis algorithm
Abstract
In a recent paper, Lam and Lien described an algorithm called tree-convolution that can reduce the space and computation time required for evaluating sparse multiclass, product-form queueing networks. In this paper, we develop an exact algorithm based on mean value analysis (MVA) that is the counterpart of the tree-convolution algorithm. The order of reduction in storage and computation achieved by our new Tree-MVA algorithm compared to the standard MVA algorithm is the same order of reduction obtained by the tree-convolution algorithm over that of the standard convolution algorithm. Our Tree-MVA algorithm preserves the inherent simplicity of MVA based algorithms.
Year
DOI
Venue
1986
10.1145/214419.214423
ACM Trans. Comput. Syst.
Keywords
Field
DocType
tree-structured mean value analysis,recent paper,new tree-mva algorithm,multiple job classes.,convolution,mean value analysis,computation time,queueing network models,flow-equivalent stations,standard mva algorithm,tree-convolution algorithm,normalization constant,standard convolution algorithm,tree-mva algorithm,exact algorithm,inherent simplicity,tree structure
Mathematical optimization,Ramer–Douglas–Peucker algorithm,Simplex algorithm,Out-of-kilter algorithm,Computer science,In-place algorithm,Algorithm,FSA-Red Algorithm,Freivalds' algorithm,Population-based incremental learning,Difference-map algorithm
Journal
Volume
Issue
ISSN
4
2
0734-2071
Citations 
PageRank 
References 
10
0.70
11
Authors
4
Name
Order
Citations
PageRank
K. P. Hoyme1100.70
S. C. Bruell213322.86
P. V. Afshari3352.77
R. Y. Kain42115.40