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Model Building in Mathematical Programming.

The 5th edition of Model Building in Mathematical Programming discusses the general principles of model building in mathematical programming and demonstrates how they can be applied by using several simplified but practical problems from widely different contexts. Suggested formulations and solution...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Williams, H. Paul
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Wiley, 2013.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Model Building in Mathematical Programming. 
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504 |a Includes bibliographical references (pages 383-395) and indexes. 
520 |a The 5th edition of Model Building in Mathematical Programming discusses the general principles of model building in mathematical programming and demonstrates how they can be applied by using several simplified but practical problems from widely different contexts. Suggested formulations and solutions are given together with some computational experience to give the reader a feel for the computational difficulty of solving that particular type of model. Furthermore, this book illustrates the scope and limitations of mathematical programming, and shows how it can be applied to real situations. By emphasizing the importance of the building and interpreting of models rather than the solution process, the author attempts to fill a gap left by the many works which concentrate on the algorithmic side of the subject. ' In this article, H.P. Williams explains his original motivation and objectives in writing the book, how it has been modified and updated over the years, what is new in this edition and why it has maintained its relevance and popularity over the years:'' /> ' 
505 0 |a Intro -- 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 
505 8 |a 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 
505 8 |a 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 
505 8 |a 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 
505 8 |a 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) 
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650 7 |a Programming (Mathematics)  |2 fast 
655 0 |a Electronic books. 
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