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Integer and Combinatorial Optimization [[electronic resource]]
| Integer and Combinatorial Optimization [[electronic resource]] |
| Autore | Wolsey Laurence A |
| Pubbl/distr/stampa | Hoboken, : Wiley, 2014 |
| Descrizione fisica | 1 online resource (783 p.) |
| Disciplina | 519.7/7 |
| Altri autori (Persone) | NemhauserGeorge L |
| Collana | Wiley Series in Discrete Mathematics and Optimization |
| Soggetto topico |
Combinatorial optimization
Integer programming Mathematical optimization Civil & Environmental Engineering Engineering & Applied Sciences Operations Research |
| ISBN |
1-118-62686-9
1-118-62737-7 1-118-62725-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover ; Title Page ; Copyright ; Preface ; Contents ; Part I: Foundations ; I.1 The Scope of Integer and Combinatorial Optimization ; 1. Introduction ; 2. Modeling with Binary Variables I: Knapsack, Assignmentand Matching, Covering, Packing and Partitioning ; The 0-1 Knapsack Problem ; The Assignment and Matching Problems ; Set-covering, Set-packing, and Set-partitioning Problems ; 3. Modeling with Binary Variables II: Facility Location, Fixed-charge Network Flow, and Traveling Salesman ; Facility Location Problems ; The Fixed-charge Network Flow Problem ; The Traveling Salesman Problem
4. Modeling with Binary Variables III: Nonlinear Functions and Disjunctive ConstraintsPiecewise Linear Functions ; Disjunctive Constraints ; A Scheduling Problem ; 5. Choices in Model Formulation ; 6. Preprocessing ; Tightening Bounds ; Adding Logical Inequalities, Fixing Variables, and Removing Redundant Constraints ; 7. Notes ; Section I.1.1 ; Sections I.1.2-I.1.4 ; Section I.1.5 ; Section I.1.6 ; 8. Exercises ; I.2: Linear Programming ; 1. Introduction ; 2. Duality ; 3. The Primal and Dual Simplex Algorithms ; Bases and Basic Solutions ; Changing the Basis ; Primal Simplex Algorithm Dual Simplex Algorithm Dual Simplex Algorithm (phase 2) ; The Simplex Algorithm with Simple Upper Bounds ; Addition of Constraints or Variables ; 4. Subgradient Optimization ; The Subgradient Algorithm for (4.1) ; 5. Notes ; Sections I.2.1-i.2.3. ; Section I.2.4 ; I.3: Graphs and Networks ; 1. Introduction ; 2. The Minimum-weight or Shortest-path Problem ; Dijkstra''s Minimum-weight Path Algorithm ; Bellman-ford Minimum-weight Path Algorithm ; 3. The Minimum-weight Spanning Tree Problem ; Algorithm for Constructing a Spanning Tree ; 4. The Maximum-flow and Minimum-cut Problems Augmenting Path Algorithm 5. The Transportation Problem: A Primal-dual Algorithm ; Primal-dual Algorithm for the Transportation Problem ; Minimum-cost Path Augmentation Algorithm ; 6. A Primal Simplex Algorithm for Network Flow Problems ; 7. Notes ; Section I.3.1 ; Section I.3.2 ; Section I.3.3 ; Section I.3.4 ; Section I.3.5 ; Section I.3.6 ; I.4: Polyhedral Theory ; 1. Introduction and Elementary Linear Algebra ; 2. Definitions of Polyhedra and Dimension ; 3. Describing Polyhedra by Facets ; 4. Describing Polyhedra by Extreme Points and Extreme Rays ; 5. Polarity 6. Polyhedral Ties Between Linear and Integer Programs 7. Notes ; Sections I.4.1-I.4.4 ; Section I.4.5 ; Section I.4.6 ; 8. Exercises ; 1.5: Computational Complexity ; 1. Introduction ; 2. Measuring Algorithm Efficiency and Problem Complexity ; 3. Some Problems Solvable in Polynomial Time ; 4. Remarks on 0-1 and Pure-integer Programming ; 5. Nondeterministic Polynomial-time Algorithms and Np Problems ; Certificates of Feasibility, the Class Np, and Nondeterministic Algorithms ; 6. The Most Difficult Np Problems: the Class Np ; 7. Complexity and Polyhedra ; 8. Notes ; Sections I.5.1 and I.5.2 Section I.5.3 |
| Record Nr. | UNINA-9910791157203321 |
Wolsey Laurence A
|
||
| Hoboken, : Wiley, 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Integer and Combinatorial Optimization [[electronic resource]]
| Integer and Combinatorial Optimization [[electronic resource]] |
| Autore | Wolsey Laurence A |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Hoboken, : Wiley, 2014 |
| Descrizione fisica | 1 online resource (783 p.) |
| Disciplina | 519.7/7 |
| Altri autori (Persone) | NemhauserGeorge L |
| Collana | Wiley Series in Discrete Mathematics and Optimization |
| Soggetto topico |
Combinatorial optimization
Integer programming Mathematical optimization Civil & Environmental Engineering Engineering & Applied Sciences Operations Research |
| ISBN |
1-118-62686-9
1-118-62737-7 1-118-62725-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover ; Title Page ; Copyright ; Preface ; Contents ; Part I: Foundations ; I.1 The Scope of Integer and Combinatorial Optimization ; 1. Introduction ; 2. Modeling with Binary Variables I: Knapsack, Assignmentand Matching, Covering, Packing and Partitioning ; The 0-1 Knapsack Problem ; The Assignment and Matching Problems ; Set-covering, Set-packing, and Set-partitioning Problems ; 3. Modeling with Binary Variables II: Facility Location, Fixed-charge Network Flow, and Traveling Salesman ; Facility Location Problems ; The Fixed-charge Network Flow Problem ; The Traveling Salesman Problem
4. Modeling with Binary Variables III: Nonlinear Functions and Disjunctive ConstraintsPiecewise Linear Functions ; Disjunctive Constraints ; A Scheduling Problem ; 5. Choices in Model Formulation ; 6. Preprocessing ; Tightening Bounds ; Adding Logical Inequalities, Fixing Variables, and Removing Redundant Constraints ; 7. Notes ; Section I.1.1 ; Sections I.1.2-I.1.4 ; Section I.1.5 ; Section I.1.6 ; 8. Exercises ; I.2: Linear Programming ; 1. Introduction ; 2. Duality ; 3. The Primal and Dual Simplex Algorithms ; Bases and Basic Solutions ; Changing the Basis ; Primal Simplex Algorithm Dual Simplex Algorithm Dual Simplex Algorithm (phase 2) ; The Simplex Algorithm with Simple Upper Bounds ; Addition of Constraints or Variables ; 4. Subgradient Optimization ; The Subgradient Algorithm for (4.1) ; 5. Notes ; Sections I.2.1-i.2.3. ; Section I.2.4 ; I.3: Graphs and Networks ; 1. Introduction ; 2. The Minimum-weight or Shortest-path Problem ; Dijkstra''s Minimum-weight Path Algorithm ; Bellman-ford Minimum-weight Path Algorithm ; 3. The Minimum-weight Spanning Tree Problem ; Algorithm for Constructing a Spanning Tree ; 4. The Maximum-flow and Minimum-cut Problems Augmenting Path Algorithm 5. The Transportation Problem: A Primal-dual Algorithm ; Primal-dual Algorithm for the Transportation Problem ; Minimum-cost Path Augmentation Algorithm ; 6. A Primal Simplex Algorithm for Network Flow Problems ; 7. Notes ; Section I.3.1 ; Section I.3.2 ; Section I.3.3 ; Section I.3.4 ; Section I.3.5 ; Section I.3.6 ; I.4: Polyhedral Theory ; 1. Introduction and Elementary Linear Algebra ; 2. Definitions of Polyhedra and Dimension ; 3. Describing Polyhedra by Facets ; 4. Describing Polyhedra by Extreme Points and Extreme Rays ; 5. Polarity 6. Polyhedral Ties Between Linear and Integer Programs 7. Notes ; Sections I.4.1-I.4.4 ; Section I.4.5 ; Section I.4.6 ; 8. Exercises ; 1.5: Computational Complexity ; 1. Introduction ; 2. Measuring Algorithm Efficiency and Problem Complexity ; 3. Some Problems Solvable in Polynomial Time ; 4. Remarks on 0-1 and Pure-integer Programming ; 5. Nondeterministic Polynomial-time Algorithms and Np Problems ; Certificates of Feasibility, the Class Np, and Nondeterministic Algorithms ; 6. The Most Difficult Np Problems: the Class Np ; 7. Complexity and Polyhedra ; 8. Notes ; Sections I.5.1 and I.5.2 Section I.5.3 |
| Record Nr. | UNINA-9910816400303321 |
|
Wolsey Laurence A
|
||
| Hoboken, : Wiley, 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||