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Applied Integer Programming [[electronic resource] ] : Modeling and Solution / / Der-San Chen, Robert G. Batson, Yu Dang
| Applied Integer Programming [[electronic resource] ] : Modeling and Solution / / Der-San Chen, Robert G. Batson, Yu Dang |
| Autore | Chen Der-San <1940-> |
| Pubbl/distr/stampa | Hoboken, : Wiley, 2011 |
| Descrizione fisica | 1 online resource (490 p.) |
| Disciplina |
519.7/7
519.77 |
| Altri autori (Persone) |
BatsonRobert G. <1950->
DangYu. <1977-> |
| Soggetto topico | Integer programming |
| ISBN |
1-282-25370-0
9786613814357 1-118-16600-0 1-118-16599-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Applied Integer Programming: Modeling and Solution; CONTENTS; PREFACE; PART I MODELING; 1 Introduction; 1.1 Integer Programming; 1.2 Standard Versus Nonstandard Forms; 1.3 Combinatorial Optimization Problems; 1.4 Successful Integer Programming Applications; 1.5 Text Organization and Chapter Preview; 1.6 Notes; 1.7 Exercises; 2 Modeling and Models; 2.1 Assumptions on Mixed Integer Programs; 2.2 Modeling Process; 2.3 Project Selection Problems; 2.3.1 Knapsack Problem; 2.3.2 Capital Budgeting Problem; 2.4 Production Planning Problems; 2.4.1 Uncapacitated Lot Sizing; 2.4.2 Capacitated Lot Sizing
2.4.3 Just-in-Time Production Planning 2.5 Workforce/Staff Scheduling Problems; 2.5.1 Scheduling Full-Time Workers; 2.5.2 Scheduling Full-Time and Part-Time Workers; 2.6 Fixed-Charge Transportation and Distribution Problems; 2.6.1 Fixed-Charge Transportation; 2.6.2 Uncapacitated Facility Location; 2.6.3 Capacitated Facility Location; 2.7 Multicommodity Network Flow Problem; 2.8 Network Optimization Problems with Side Constraints; 2.9 Supply Chain Planning Problems; 2.10 Notes; 2.11 Exercises; 3 Transformation Using 0-1 Variables; 3.1 Transform Logical (Boolean) Expressions 3.1.1 Truth Table of Boolean Operations 3.1.2 Basic Logical (Boolean) Operations on Variables; 3.1.3 Multiple Boolean Operations on Variables; 3.2 Transform Nonbinary to 0-1 Variable; 3.2.1 Transform Integer Variable; 3.2.2 Transform Discrete Variable; 3.3 Transform Piecewise Linear Functions; 3.3.1 Arbitrary Piecewise Linear Functions; 3.3.2 Concave Piecewise Linear Cost Functions: Economy of Scale; 3.4 Transform 0-1 Polynomial Functions; 3.5 Transform Functions with Products of Binary and Continuous Variables: Bundle Pricing Problem; 3.6 Transform Nonsimultaneous Constraints 3.6.1 Either/Or Constraints 3.6.2 p Out of m Constraints Must Hold; 3.6.3 Disjunctive Constraint Sets; 3.6.4 Negation of a Constraint; 3.6.5 If/Then Constraints; 3.7 Notes; 3.8 Exercises; 4 Better Formulation by Preprocessing; 4.1 Better Formulation; 4.2 Automatic Problem Preprocessing; 4.3 Tightening Bounds on Variables; 4.3.1 Bounds on Continuous Variables; 4.3.2 Bounds on General Integer Variables; 4.3.3 Bounds on 0-1 Variables; 4.3.4 Variable Fixing Redundant Constraints, and Infeasibility; 4.4 Preprocessing Pure 0-1 Integer Programs; 4.4.1 Fixing 0-1 Variables 4.4.2 Detecting Redundant Constraints And Infeasibility 4.4.3 Tightening Constraints (or Coefficients Reduction); 4.4.4 Generating Cutting Planes from Minimum Cover; 4.4.5 Rounding by Division with GCD; 4.5 Decomposing a Problem into Independent Subproblems; 4.6 Scaling the Coefficient Matrix; 4.7 Notes; 4.8 Exercises; 5 Modeling Combinatorial Optimization Problems I; 5.1 Introduction; 5.2 Set Covering and Set Partitioning; 5.2.1 Set Covering Problem; 5.2.2 Set Partitioning and Set Packing; 5.2.3 Set Covering in Networks; 5.2.4 Applications of Set Covering Problem; 5.3 Matching Problem 5.3.1 Matching Problems in Network |
| Record Nr. | UNINA-9910139597403321 |
Chen Der-San <1940->
|
||
| Hoboken, : Wiley, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Applied Integer Programming : Modeling and Solution / / Der-San Chen, Robert G. Batson, Yu Dang
| Applied Integer Programming : Modeling and Solution / / Der-San Chen, Robert G. Batson, Yu Dang |
| Autore | Chen Der-San <1940-> |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Hoboken, : Wiley, 2011 |
| Descrizione fisica | 1 online resource (490 p.) |
| Disciplina |
519.7/7
519.77 |
| Altri autori (Persone) |
BatsonRobert G. <1950->
DangYu. <1977-> |
| Soggetto topico | Integer programming |
| ISBN |
1-282-25370-0
9786613814357 1-118-16600-0 1-118-16599-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Applied Integer Programming: Modeling and Solution; CONTENTS; PREFACE; PART I MODELING; 1 Introduction; 1.1 Integer Programming; 1.2 Standard Versus Nonstandard Forms; 1.3 Combinatorial Optimization Problems; 1.4 Successful Integer Programming Applications; 1.5 Text Organization and Chapter Preview; 1.6 Notes; 1.7 Exercises; 2 Modeling and Models; 2.1 Assumptions on Mixed Integer Programs; 2.2 Modeling Process; 2.3 Project Selection Problems; 2.3.1 Knapsack Problem; 2.3.2 Capital Budgeting Problem; 2.4 Production Planning Problems; 2.4.1 Uncapacitated Lot Sizing; 2.4.2 Capacitated Lot Sizing
2.4.3 Just-in-Time Production Planning 2.5 Workforce/Staff Scheduling Problems; 2.5.1 Scheduling Full-Time Workers; 2.5.2 Scheduling Full-Time and Part-Time Workers; 2.6 Fixed-Charge Transportation and Distribution Problems; 2.6.1 Fixed-Charge Transportation; 2.6.2 Uncapacitated Facility Location; 2.6.3 Capacitated Facility Location; 2.7 Multicommodity Network Flow Problem; 2.8 Network Optimization Problems with Side Constraints; 2.9 Supply Chain Planning Problems; 2.10 Notes; 2.11 Exercises; 3 Transformation Using 0-1 Variables; 3.1 Transform Logical (Boolean) Expressions 3.1.1 Truth Table of Boolean Operations 3.1.2 Basic Logical (Boolean) Operations on Variables; 3.1.3 Multiple Boolean Operations on Variables; 3.2 Transform Nonbinary to 0-1 Variable; 3.2.1 Transform Integer Variable; 3.2.2 Transform Discrete Variable; 3.3 Transform Piecewise Linear Functions; 3.3.1 Arbitrary Piecewise Linear Functions; 3.3.2 Concave Piecewise Linear Cost Functions: Economy of Scale; 3.4 Transform 0-1 Polynomial Functions; 3.5 Transform Functions with Products of Binary and Continuous Variables: Bundle Pricing Problem; 3.6 Transform Nonsimultaneous Constraints 3.6.1 Either/Or Constraints 3.6.2 p Out of m Constraints Must Hold; 3.6.3 Disjunctive Constraint Sets; 3.6.4 Negation of a Constraint; 3.6.5 If/Then Constraints; 3.7 Notes; 3.8 Exercises; 4 Better Formulation by Preprocessing; 4.1 Better Formulation; 4.2 Automatic Problem Preprocessing; 4.3 Tightening Bounds on Variables; 4.3.1 Bounds on Continuous Variables; 4.3.2 Bounds on General Integer Variables; 4.3.3 Bounds on 0-1 Variables; 4.3.4 Variable Fixing Redundant Constraints, and Infeasibility; 4.4 Preprocessing Pure 0-1 Integer Programs; 4.4.1 Fixing 0-1 Variables 4.4.2 Detecting Redundant Constraints And Infeasibility 4.4.3 Tightening Constraints (or Coefficients Reduction); 4.4.4 Generating Cutting Planes from Minimum Cover; 4.4.5 Rounding by Division with GCD; 4.5 Decomposing a Problem into Independent Subproblems; 4.6 Scaling the Coefficient Matrix; 4.7 Notes; 4.8 Exercises; 5 Modeling Combinatorial Optimization Problems I; 5.1 Introduction; 5.2 Set Covering and Set Partitioning; 5.2.1 Set Covering Problem; 5.2.2 Set Partitioning and Set Packing; 5.2.3 Set Covering in Networks; 5.2.4 Applications of Set Covering Problem; 5.3 Matching Problem 5.3.1 Matching Problems in Network |
| Record Nr. | UNINA-9910821845803321 |
|
Chen Der-San <1940->
|
||
| Hoboken, : Wiley, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||