Design of Survivable Networks
Stoer, Mechthild.
Design of Survivable Networks [electronic resource] / by Mechthild Stoer. - 204 p. online resource. - Lecture Notes in Mathematics, 1531 0075-8434 ; . - Lecture Notes in Mathematics, 1531 .
Motivation -- Network survivability models using node types -- Survivable network design under connectivity constraints — a survey -- Decomposition -- Basic inequalities -- Lifting theorems -- Partition inequalities -- Node partition inequalities -- Lifted r-cover inequalities -- Comb inequalities -- How to find valid inequalities -- Implementation of the cutting plane algorithm -- Computational results.
The problem of designing a cost-efficient network that survives the failure of one or more nodes or edges of the network is critical to modern telecommunications engineering. The method developed in this book is designed to solve such problems to optimality. In particular, a cutting plane approach is described, based on polyhedral combinatorics, that is ableto solve real-world problems of this type in short computation time. These results are of interest for practitioners in the area of communication network design. The book is addressed especially to the combinatorial optimization community, but also to those who want to learn polyhedral methods. In addition, interesting new research problemsare formulated.
9783540475002
10.1007/BFb0088963 doi
Engineering mathematics.
Computer science.
Distribution (Probability theory.
Systems theory.
Mathematical optimization.
Chemistry--Mathematics.
Mathematical and Computational Engineering.
Mathematics of Computing.
Probability Theory and Stochastic Processes.
Systems Theory, Control.
Calculus of Variations and Optimal Control; Optimization.
Math. Applications in Chemistry.
TA329-348 TA640-643
519
Design of Survivable Networks [electronic resource] / by Mechthild Stoer. - 204 p. online resource. - Lecture Notes in Mathematics, 1531 0075-8434 ; . - Lecture Notes in Mathematics, 1531 .
Motivation -- Network survivability models using node types -- Survivable network design under connectivity constraints — a survey -- Decomposition -- Basic inequalities -- Lifting theorems -- Partition inequalities -- Node partition inequalities -- Lifted r-cover inequalities -- Comb inequalities -- How to find valid inequalities -- Implementation of the cutting plane algorithm -- Computational results.
The problem of designing a cost-efficient network that survives the failure of one or more nodes or edges of the network is critical to modern telecommunications engineering. The method developed in this book is designed to solve such problems to optimality. In particular, a cutting plane approach is described, based on polyhedral combinatorics, that is ableto solve real-world problems of this type in short computation time. These results are of interest for practitioners in the area of communication network design. The book is addressed especially to the combinatorial optimization community, but also to those who want to learn polyhedral methods. In addition, interesting new research problemsare formulated.
9783540475002
10.1007/BFb0088963 doi
Engineering mathematics.
Computer science.
Distribution (Probability theory.
Systems theory.
Mathematical optimization.
Chemistry--Mathematics.
Mathematical and Computational Engineering.
Mathematics of Computing.
Probability Theory and Stochastic Processes.
Systems Theory, Control.
Calculus of Variations and Optimal Control; Optimization.
Math. Applications in Chemistry.
TA329-348 TA640-643
519