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Network Models Horm 7handbook in Operations Research and Management Science Vol.7

Sprache: Englisch.
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This text presents papers reflecting the wide range of theories and applications of network models. Several chapters model issues in the domains of telecommunications and transportation.
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Network Models Horm 7handbook in Operations Research and Management Science Vol.7 als Buch

Produktdetails

Titel: Network Models Horm 7handbook in Operations Research and Management Science Vol.7

ISBN: 0444892923
EAN: 9780444892928
Sprache: Englisch.
Herausgegeben von M. O. Ball, T. L. Magnanti, B. L. Monma
ELSEVIER SCIENCE & TECHNOLOGY

Mai 1995 - gebunden - 800 Seiten

Beschreibung

This text presents papers reflecting the wide range of theories and applications of network models. Several chapters model issues in the domains of telecommunications and transportation.

Inhaltsverzeichnis

Part 1 Applications of network optimization, R.K. Ahuja et al: preliminaries; shortest paths; maximum flows; minimum cost flows; the assignment problem; matchings; minimum spanning trees; convex cost flows; generalized flows; multicommodity flows; the travelling salesman problem; network design. Part 2 Primal simplex algorithms for minimum cost network flows, R.V. Helgason and J.L. Kennington: primal simplex algorithm; linear network models; generalized networks; multicommodity networks; networks with side constraints. Part 3 Matching, A.M.H. Gerards: finding a matching of maximum cardinality; bipartite matching duality; non-bipartite matching duality; matching and integer and linear programming; finding maximum and minimum weight matchings; general degree constraints; other matching algorithms; applications of matchings; computer implementations and heuristics. Part 4 The travelling salesman problem, M. Junger et al: related problems; practical applications; approximation algorithms for the TSP; relaxations; finding optimal and provably good solutions; computation. Part 5 Parallel computing in network optimization, D. Bertsekas et al: linear network optimization; nonlinear network optimization. Part 6 Probabilistic networks and network algorithms, T.L. Snyder and J.M. Steele: probability theory of network characteristics; probabilistic network algorithms; geometric networks. Part 7 A survey of computational geometry, J.S.B. Mitchell and S. Suri: fundamental structures; geometric graphs; path planning; matching, travelling salesman; and watchman routes; shape analysis, computer vision, and pattern matching. Part 8 Algorithmic implications of the graph minor theorem, D. Bienstock and M.A. Langston: a brief outline of the graph minors project; treewidth; pathwidth and cutwidth; disjoint paths; challenges to practicality. Part 9 Optimal trees, T.L. Magnanti and L.A. Wolsey: tree optimization problems; minimum spanning trees; rooted subtrees of a tree; polynomially solvable extensions/variations; the steiner tree problem; packing subtrees of a tree; packing subtrees of a general graph; trees-on-trees. Part 10 Design of survivable networks, M. Grotschel et al: overview; motivation; integer programming models of survivability; structural properties and heuristics; polynomially solvable special cases; polyhedral results; computational results; directed variants of the general model. Part 11 Network reliability, M.O. Ball et al: motivation; computational complexity and relationships among problems; exact computation of reliability; bounds on network reliability; Monte Carlo methods; performability analysis and multistate network systems; using computational techniques in practice.

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