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Part II
by H. Paul Williams
Model Building in Mathematical Programming, 5th Edition
Cover
Title Page
Copyright
Dedication
Preface
Preface to the Fifth Edition
Part I
Chapter 1: Introduction
1.1 The concept of a model
1.2 Mathematical programming models
Chapter 2: Solving mathematical programming models
2.1 Algorithms and packages
2.2 Practical considerations
2.3 Decision support and expert systems
2.4 Constraint programming (CP)
Chapter 3: Building linear programming models
3.1 The importance of linearity
3.2 Defining objectives
3.3 Defining constraints
3.4 How to build a good model
3.5 The use of modelling languages
Chapter 4: Structured linear programming models
4.1 Multiple plant, product and period models
4.2 Stochastic programmes
4.3 Decomposing a large model
Chapter 5: Applications and special types of mathematical programming model
5.1 Typical applications
5.2 Economic models
5.3 Network models
5.4 Converting linear programs to networks
Chapter 6: Interpreting and using the solution of a linear programming model
6.1 Validating a model
6.2 Economic interpretations
6.3 Sensitivity analysis and the stability of a model
6.4 Further investigations using a model
6.5 Presentation of the solutions
Chapter 7: Non-linear models
7.1 Typical applications
7.2 Local and global optima
7.3 Separable programming
7.4 Converting a problem to a separable model
Chapter 8: Integer programming
8.1 Introduction
8.2 The applicability of integer programming
8.3 Solving integer programming models
Chapter 9: Building integer programming models I
9.1 The uses of discrete variables
9.2 Logical conditions and 0–1 variables
9.3 Special ordered sets of variables
9.4 Extra conditions applied to linear programming models
9.5 Special kinds of integer programming model
9.6 Column generation
Chapter 10: Building integer programming models II
10.1 Good and bad formulations
10.2 Simplifying an integer programming model
10.3 Economic information obtainable by integer programming
10.4 Sensitivity analysis and the stability of a model
10.5 When and how to use integer programming
Chapter 11: The implementation of a mathematical programming system of planning
11.1 Acceptance and implementation
11.2 The unification of organizational functions
11.3 Centralization versus decentralization
11.4 The collection of data and the maintenance of a model
Part II
Chapter 12: The problems
12.1 Food manufacture 1
12.2 Food manufacture 2
12.3 Factory planning 1
12.4 Factory planning 2
12.5 Manpower planning
12.6 Refinery optimisation
12.7 Mining
12.8 Farm planning
12.9 Economic planning
12.10 Decentralisation
12.11 Curve fitting
12.12 Logical design
12.13 Market sharing
12.14 Opencast mining
12.15 Tariff rates (power generation)
12.16 Hydro power
12.17 Three-dimensional noughts and crosses
12.18 Optimising a constraint
12.19 Distribution 1
12.20 Depot location (distribution 2)
12.21 Agricultural pricing
12.22 Efficiency analysis
12.23 Milk collection
12.24 Yield management
12.25 Car rental 1
12.26 Car rental 2
12.27 Lost baggage distribution
12.28 Protein folding
12.29 Protein comparison
Part III
Chapter 13: Formulation and discussion of problems
13.1 Food manufacture 1
13.2 Food manufacture 2
13.3 Factory planning 1
13.4 Factory planning 2
13.5 Manpower planning
13.6 Refinery optimization
13.7 Mining
13.8 Farm planning
13.9 Economic planning
13.10 Decentralization
13.11 Curve fitting
13.12 Logical design
13.13 Market sharing
13.14 Opencast mining
13.15 Tariff rates (power generation)
13.16 Hydro power
13.17 Three-dimensional noughts and crosses
13.18 Optimizing a constraint
13.19 Distribution 1
13.20 Depot location (distribution 2)
13.21 Agricultural pricing
13.22 Efficiency analysis
13.23 Milk collection
13.24 Yield management
13.25 Car rental 1
13.26 Car rental 2
13.27 Lost baggage distribution
13.28 Protein folding
13.29 Protein comparison
Part IV
Chapter 14: Solutions to problems
14.1 Food manufacture 1
14.2 Food manufacture 2
14.3 Factory planning 1
14.4 Factory planning 2
14.5 Manpower planning
14.6 Refinery optimization
14.7 Mining
14.8 Farm planning
14.9 Economic planning
14.10 Decentralization
14.11 Curve fitting
14.12 Logical design
14.13 Market sharing
14.14 Opencast mining
14.15 Tariff rates (power generation)
14.16 Hydro power
14.17 Three-dimensional noughts and crosses
14.18 Optimizing a constraint
14.19 Distribution 1
14.20 Depot location (distribution 2)
14.21 Agricultural pricing
14.22 Efficiency analysis
14.23 Milk collection
14.24 Yield management
14.25 Car rental
14.26 Car rental 2
14.27 Lost baggage distribution
14.28 Protein folding
14.29 Protein comparison
References
Author Index
Subject Index
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Chapter 12: The problems
Part II
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