| Description |
1 online resource (xvi, 303 pages) : illustrations |
| Series |
Mathematics in science and engineering ; v. 98 |
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Mathematics in science and engineering ; v. 98.
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| Contents |
Front Cover; Graph Theory in Modern Engineering; Copyright Page; Contents; Preface; Acknowledgments; Nomenclature; Chapter 1. Basic Concepts; Directed Graphs; Flow Graphs for Differential Equations; Further Terminology; Chapter 2. Construction and Analysis of Signal Flow Graphs; Signal-Flow-Graph Reduction and the Solution of Equations; Flow-Graph Algebra; Loop Elimination and Equation Solving by Equation Reduction; Mason's Rule; Applying Mason's Rule; Application of Mason's Rule to Dynamic Systems; References; Chapter 3. Systematic Analysis of Large Flow Graphs |
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Determining Specific Paths and LoopsDetermining Specific Paths; List Processing Approach to Determining Paths; Evaluation of Gains; Removing Unnecessary Paths from the List Structure; Evaluating Determinants in Mason's Formula; Computing the Determinants Corresponding to Specific Paths as Required by Mason's Rule; Computing Transmittances; Implementing the Algorithms; References; Chapter 4. Frequency Response Analysis; Final Value Theorem; Initial Value Theorem; Substitution Rule; Bode Diagrams; A Typical Application; Other Stability Criteria; Reference; Chapter 5. Sensitivity Analysis |
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Sensitivity Analysis in GeneralDerivation of Network Functions; Deriving Sensitivity Functions; Applying Sensitivity Functions to Structural Analysis; Gain and Phase Sensitivity; Pole and Zero Sensitivity; Sensitivities via Structural Methods; Sensitivities for Large Parameter Variations; Transfer Functions and Sensitivities in Static Systems; References; Chapter 6. Examples and Further Applications; Closed-Form Solution of an Absorption Column; Sensitivity Analysis of a Heat Exchanger Network; Continuous Stirred Tank Reactor; Eigenvalue Problems; Ordering Recycle Calculations |
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Transportation ProblemsReferences; Chapter 7. Linear and Nonlinear Programming; General Form of LP Problems; Simplex Solution by Signal-Flow-Graph Methods; Example Problems; Discussion of Solution Procedure (MASNLP); An Advantage of MASNLP; Dual Simplex Method; Postoptimal Analysis; Sensitivity Analysis; Nonlinear Systems; Method of Feasible Directions; A Heat Exchanger Problem; Solution to the Heat Exchanger System; Results and Discussion; References; Chapter 8. Ranking by Flow-Graph Methods; Tennis Rankings; Implementation Difficulties; A Solution to the Implementation Problem; Reference |
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Chapter 9. Undirected GraphsUndirected Graphs; Trees; Logic Trees; Branch and Bound Methods; Trees-Further Theorems and Definitions; Disconnecting Sets and Cut-Sets; Bipartite Graphs; Assigning Output Sets; References; Chapter 10. Matrix Representation of Graphs; Nondirected Graphs; Digraphs; References; Chapter 11. Branch and Eound. Search Tree Methods; Formal Definition of the Branch and Bound Technique; The Traveling Salesman Problem; Integer Programming and Pseudo-Boolean Progrhmming; Generalization of the Branch and Bound Method; Bidding Contest Problem; Conclusion; References |
| Summary |
Graph theory in modern engineering; computer aided design, control, optimization, reliability analysis |
| Analysis |
Computer-aided design |
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Graph theory |
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Graph theory For engineering |
| Notes |
Contract no. N0014-68-A-0151 of the Office of Naval Research |
| Bibliography |
Includes bibliographical references (pages 295-296) and index |
| Notes |
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL |
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Print version record |
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digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL |
| Subject |
Graph theory.
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Computer-aided design.
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Computer-Aided Design
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computer-aided designs (visual works)
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computer-aided design (process)
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MATHEMATICS -- Graphic Methods.
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Computer-aided design
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Graph theory
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Graphentheorie
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Ingenieurwissenschaften
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Anwendung
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Graph
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Teoria Dos Grafos.
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Graphes, Théorie des.
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Conception assistée par ordinateur.
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Commande, Théorie de la.
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Optimisation mathématique.
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Fiabilité.
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| Form |
Electronic book
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| Author |
Williams, R. A. (Richard A.)
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| ISBN |
9780123408501 |
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0123408504 |
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9780080956077 |
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0080956076 |
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