- Häftad (Paperback)
- Antal sidor
- 5 Revised edition
- John Wiley & Sons Inc
- 234 x 158 x 25 mm
- Antal komponenter
- 544 g
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Model Building in Mathematical Programming
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Bloggat om Model Building in Mathematical Programming
H. Paul Williams, London School of Economics, UK
Preface PART 1 1 Introduction 1.1 The Concept of a Model 1.2 Mathematical Programming Models 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 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 4 Structured Linear Programming Models 4.1 Multiple Plant, Product, and Period Models 4.2 Stochastic Programming Models 4.3 Decomposing a Large Model 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 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 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 8 Integer Programming 8.1 Introduction 8.2 The Applicability of Integer Programming 8.3 Solving Integer Programming Models 9 Building Integer Programming Models I 9.1 The Uses of Discrete Variables 9.2 Logical Conditions and Zero One 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 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 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 2 12 The Problems 12.1 Food Manufacture 1 When to buy and how to blend 12.2 Food Manufacture 2 Limiting the number of ingredients and adding extra conditions 12.3 Factory Planning 1 What to make, on what machines, and when 12.4 Factory Planning 2 When should machines be down for maintenance 12.5 Manpower Planning How to recruit, retrain, make redundant, or overman 12.6 Refinery Optimization How to run an oil refinery 12.7 Mining Which pits to work and when to close them down 12.8 Farm Planning How much to grow and rear 12.9 Economic Planning How should an economy grow 12.10 Decentralization How to disperse offices from the capital 12.11 Curve Fitting Fitting a curve to a set of data points 12.12 Logical Design Constructing an electronic system with a minimum number of components 12.13 Market Sharing Assigning retailers to company divisions 12.14 Opencast Mining How much to excavate 12.15 Tariff Rates (Power Generation) How to determine tariff rates for the sale of electricity 12.16 Hydro Power How to generate and combine hydro and thermal electricity generation 12.17 Three-dimensional Noughts and Crosses A combinatorial problem 12.18 Optimizing a Constraint Reconstructing an integer programming constraint more simply 12.19 Distribution 1 Which factories and depots to supply which customers 12.20 Depot Location (Distribution 2) Where should new depots be built 12.21 Agricultural Pricing What prices to charge for dairy products 12.22 Efficiency Analysis