InforLorV4, Hal, Curation, bibRecord, 003936

Operator Calculus Algorithms for Multi-Constrained Paths

Identifieur interne : 003936 ( Hal/Curation ); précédent : 003935; suivant : 003937

Operator Calculus Algorithms for Multi-Constrained Paths

Auteurs : Jamila Ben Slimane [Tunisie] ; Schott René [France] ; Yeqiong Song [France] ; G. Stacey Staples [États-Unis] ; Evangelia Tsiontsiou [France] ; Ye-Qiong Song [France]

Source :

RBID : Hal:hal-01242868

English descriptors

mix :
- nilpotent adjacency matrix, quality of service, shortest path, zeons, Routing problems.

Abstract

Classical approaches to multi-constrained routing problems gener-ally require construction of trees and the use of heuristics to preventcombinatorial explosion. Introduced here is the notion of constrainedpath algebras and their application to multi-constrained path prob-lems. The inherent combinatorial properties of these algebras makethem useful for routing problems by implicitly pruning the underlyingtree structures. Operator calculus (OC) methods are generalized tomultiple non-additive constraints in order to develop algorithms forthe multi constrained path problem and multi constrained optimiza-tion problem. Theoretical underpinnings are developed first, thenalgorithms are presented. These algorithms demonstrate the tremen-dous simplicity, flexibility and speed of the OC approach. Algorithmsare implemented inMathematicaandJavaand applied to a problemfirst proposed by Ben Slimaneet al.as an example.

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Le document en format XML

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<abstract xml:lang="en">Classical approaches to multi-constrained routing problems gener-ally require construction of trees and the use of heuristics to preventcombinatorial explosion. Introduced here is the notion of constrainedpath algebras and their application to multi-constrained path prob-lems. The inherent combinatorial properties of these algebras makethem useful for routing problems by implicitly pruning the underlyingtree structures. Operator calculus (OC) methods are generalized tomultiple non-additive constraints in order to develop algorithms forthe multi constrained path problem and multi constrained optimiza-tion problem. Theoretical underpinnings are developed first, thenalgorithms are presented. These algorithms demonstrate the tremen-dous simplicity, flexibility and speed of the OC approach. Algorithmsare implemented inMathematicaandJavaand applied to a problemfirst proposed by Ben Slimaneet al.as an example.</abstract>
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Operator Calculus Algorithms for Multi-Constrained Paths

Operator Calculus Algorithms for Multi-Constrained Paths

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