{"product_id":"model-building-in-mathematical-programming-isbn-9781118443330","title":"Model Building in Mathematical Programming","description":"\u003cp\u003eThe 5th edition of \u003ci\u003eModel Building in Mathematical Programming\u003c\/i\u003e 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.\u003c\/p\u003e \u003cp\u003eIn this article, \u003cb\u003eH.P. Williams\u003c\/b\u003e 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: \u003ca href=\"http:\/\/www.statisticsviews.com\/details\/feature\/4566481\/Model-Building-in-Mathematical-Programming-published-in-fifth-edition.html\"\u003ehttp:\/\/www.statisticsviews.com\/details\/feature\/4566481\/Model-Building-in-Mathematical-Programming-published-in-fifth-edition.html\u003c\/a\u003e\u003c\/p\u003e  Preface  \u003cp\u003ePART 1\u003c\/p\u003e \u003cp\u003e1 Introduction\u003c\/p\u003e \u003cp\u003e1.1 The Concept of a Model\u003c\/p\u003e \u003cp\u003e1.2 Mathematical Programming Models\u003c\/p\u003e \u003cp\u003e2 Solving Mathematical Programming Models\u003c\/p\u003e \u003cp\u003e2.1 Algorithms and Packages\u003c\/p\u003e \u003cp\u003e2.2 Practical Considerations\u003c\/p\u003e \u003cp\u003e2.3 Decision Support and Expert Systems\u003c\/p\u003e \u003cp\u003e2.4 Constraint Programming \u003c\/p\u003e \u003cp\u003e3 Building Linear Programming Models\u003c\/p\u003e \u003cp\u003e3.1 The Importance of Linearity\u003c\/p\u003e \u003cp\u003e3.2 Defining Objectives\u003c\/p\u003e \u003cp\u003e3.3 Defining Constraints\u003c\/p\u003e \u003cp\u003e3.4 How to Build a Good Model\u003c\/p\u003e \u003cp\u003e3.5 The Use of Modelling Languages\u003c\/p\u003e \u003cp\u003e4 Structured Linear Programming Models\u003c\/p\u003e \u003cp\u003e4.1 Multiple Plant, Product, and Period Models\u003c\/p\u003e \u003cp\u003e4.2 Stochastic Programming Models\u003c\/p\u003e \u003cp\u003e4.3 Decomposing a Large Model\u003c\/p\u003e \u003cp\u003e5 Applications and Special Types of Mathematical Programming Model\u003c\/p\u003e \u003cp\u003e5.1 Typical Applications\u003c\/p\u003e \u003cp\u003e5.2 Economic Models\u003c\/p\u003e \u003cp\u003e5.3 Network Models\u003c\/p\u003e \u003cp\u003e5.4 Converting Linear Programs to Networks\u003c\/p\u003e \u003cp\u003e6 Interpreting and Using the Solution of a Linear Programming Model\u003c\/p\u003e \u003cp\u003e6.1 Validating a Model\u003c\/p\u003e \u003cp\u003e6.2 Economic Interpretations\u003c\/p\u003e \u003cp\u003e6.3 Sensitivity Analysis and the Stability of a Model\u003c\/p\u003e \u003cp\u003e6.4 Further Investigations Using a Model\u003c\/p\u003e \u003cp\u003e6.5 Presentation of the Solutions\u003c\/p\u003e \u003cp\u003e7 Non-linear Models\u003c\/p\u003e \u003cp\u003e7.1 Typical Applications\u003c\/p\u003e \u003cp\u003e7.2 Local and Global Optima\u003c\/p\u003e \u003cp\u003e7.3 Separable Programming\u003c\/p\u003e \u003cp\u003e7.4 Converting a Problem to a Separable Model\u003c\/p\u003e \u003cp\u003e8 Integer Programming\u003c\/p\u003e \u003cp\u003e8.1 Introduction\u003c\/p\u003e \u003cp\u003e8.2 The Applicability of Integer Programming\u003c\/p\u003e \u003cp\u003e8.3 Solving Integer Programming Models\u003c\/p\u003e \u003cp\u003e9 Building Integer Programming Models I\u003c\/p\u003e \u003cp\u003e9.1 The Uses of Discrete Variables\u003c\/p\u003e \u003cp\u003e9.2 Logical Conditions and Zero—One Variables\u003c\/p\u003e \u003cp\u003e9.3 Special Ordered Sets of Variables\u003c\/p\u003e \u003cp\u003e9.4 Extra Conditions Applied to Linear Programming Models\u003c\/p\u003e \u003cp\u003e9.5 Special Kinds of Integer Programming Model\u003c\/p\u003e \u003cp\u003e9.6 Column Generation\u003c\/p\u003e \u003cp\u003e10 Building Integer Programming Models II\u003c\/p\u003e \u003cp\u003e10.1 Good and Bad Formulations\u003c\/p\u003e \u003cp\u003e10.2 Simplifying an Integer Programming Model\u003c\/p\u003e \u003cp\u003e10.3 Economic Information Obtainable by Integer Programming\u003c\/p\u003e \u003cp\u003e10.4 Sensitivity Analysis and the Stability of a Model\u003c\/p\u003e \u003cp\u003e10.5 When and How to Use Integer Programming\u003c\/p\u003e \u003cp\u003e11 The Implementation of a Mathematical Programming System of Planning\u003c\/p\u003e \u003cp\u003e11.1 Acceptance and Implementation\u003c\/p\u003e \u003cp\u003e11.2 The Unification of Organizational Functions\u003c\/p\u003e \u003cp\u003e11.3 Centralization versus Decentralization\u003c\/p\u003e \u003cp\u003e11.4 The Collection of Data and the Maintenance of a Model\u003c\/p\u003e \u003cp\u003ePART 2\u003c\/p\u003e \u003cp\u003e12 The Problems\u003c\/p\u003e \u003cp\u003e12.1 Food Manufacture 1\u003c\/p\u003e \u003cp\u003eWhen to buy and how to blend\u003c\/p\u003e \u003cp\u003e12.2 Food Manufacture 2\u003c\/p\u003e \u003cp\u003eLimiting the number of ingredients and adding extra conditions\u003c\/p\u003e \u003cp\u003e12.3 Factory Planning 1\u003c\/p\u003e \u003cp\u003eWhat to make, on what machines, and when\u003c\/p\u003e \u003cp\u003e12.4 Factory Planning 2\u003c\/p\u003e \u003cp\u003eWhen should machines be down for maintenance\u003c\/p\u003e \u003cp\u003e12.5 Manpower Planning\u003c\/p\u003e \u003cp\u003eHow to recruit, retrain, make redundant, or overman\u003c\/p\u003e \u003cp\u003e12.6 Refinery Optimization\u003c\/p\u003e \u003cp\u003eHow to run an oil refinery\u003c\/p\u003e \u003cp\u003e12.7 Mining\u003c\/p\u003e \u003cp\u003eWhich pits to work and when to close them down\u003c\/p\u003e \u003cp\u003e12.8 Farm Planning\u003c\/p\u003e \u003cp\u003eHow much to grow and rear\u003c\/p\u003e \u003cp\u003e12.9 Economic Planning\u003c\/p\u003e \u003cp\u003eHow should an economy grow\u003c\/p\u003e \u003cp\u003e12.10 Decentralization\u003c\/p\u003e \u003cp\u003eHow to disperse offices from the capital\u003c\/p\u003e \u003cp\u003e12.11 Curve Fitting\u003c\/p\u003e \u003cp\u003eFitting a curve to a set of data points\u003c\/p\u003e \u003cp\u003e12.12 Logical Design\u003c\/p\u003e \u003cp\u003eConstructing an electronic system with a minimum number of components\u003c\/p\u003e \u003cp\u003e12.13 Market Sharing\u003c\/p\u003e \u003cp\u003eAssigning retailers to company divisions\u003c\/p\u003e \u003cp\u003e12.14 Opencast Mining\u003c\/p\u003e \u003cp\u003eHow much to excavate\u003c\/p\u003e \u003cp\u003e12.15 Tariff Rates (Power Generation)\u003c\/p\u003e \u003cp\u003eHow to determine tariff rates for the sale of electricity\u003c\/p\u003e \u003cp\u003e12.16 Hydro Power\u003c\/p\u003e \u003cp\u003eHow to generate and combine hydro and thermal electricity generation\u003c\/p\u003e \u003cp\u003e12.17 Three-dimensional Noughts and Crosses\u003c\/p\u003e \u003cp\u003eA combinatorial problem\u003c\/p\u003e \u003cp\u003e12.18 Optimizing a Constraint\u003c\/p\u003e \u003cp\u003eReconstructing an integer programming constraint more simply\u003c\/p\u003e \u003cp\u003e12.19 Distribution 1\u003c\/p\u003e \u003cp\u003eWhich factories and depots to supply which customers\u003c\/p\u003e \u003cp\u003e12.20 Depot Location (Distribution 2)\u003c\/p\u003e \u003cp\u003eWhere should new depots be built\u003c\/p\u003e \u003cp\u003e12.21 Agricultural Pricing\u003c\/p\u003e \u003cp\u003eWhat prices to charge for dairy products\u003c\/p\u003e \u003cp\u003e12.22 Efficiency Analysis\u003c\/p\u003e \u003cp\u003eHow to use data envelopment analysis to compare efficiencies of garages\u003c\/p\u003e \u003cp\u003e12.23 Milk Collection\u003c\/p\u003e \u003cp\u003eHow to route and assign milk collection lorries to farms\u003c\/p\u003e \u003cp\u003e12.24 Yield Management\u003c\/p\u003e \u003cp\u003eWhat quantities of airline tickets to sell at what prices and what times\u003c\/p\u003e \u003cp\u003e12.25 Car Rental 1\u003c\/p\u003e \u003cp\u003eHow many cars to own and where to locate them\u003c\/p\u003e \u003cp\u003e12.26 Car Rental 2\u003c\/p\u003e \u003cp\u003eWhere should repair capacity be increased\u003c\/p\u003e \u003cp\u003e12.27 Lost Baggage Distribution\u003c\/p\u003e \u003cp\u003eWhich vehicles should go to which customers and in what order\u003c\/p\u003e \u003cp\u003e12.28 Protein Folding\u003c\/p\u003e \u003cp\u003eHow a string of Amino Acids is likely to fold\u003c\/p\u003e \u003cp\u003e12.29 Protein Comparison\u003c\/p\u003e \u003cp\u003eHow similar are two proteins\u003c\/p\u003e \u003cp\u003ePART 3\u003c\/p\u003e \u003cp\u003e13 Formulation and Discussion of Problems\u003c\/p\u003e \u003cp\u003e13.1 Food Manufacture 1\u003c\/p\u003e \u003cp\u003e13.2 Food Manufacture 2\u003c\/p\u003e \u003cp\u003e13.3 Factory Planning 1\u003c\/p\u003e \u003cp\u003e13.4 Factory Planning 2\u003c\/p\u003e \u003cp\u003e13.5 Manpower Planning\u003c\/p\u003e \u003cp\u003e13.6 Refinery Optimization\u003c\/p\u003e \u003cp\u003e13.7 Mining\u003c\/p\u003e \u003cp\u003e13.8 Farm Planning\u003c\/p\u003e \u003cp\u003e13.9 Economic Planning\u003c\/p\u003e \u003cp\u003e13.10 Decentralization\u003c\/p\u003e \u003cp\u003e13.11 Curve Fitting\u003c\/p\u003e \u003cp\u003e13.12 Logical Design\u003c\/p\u003e \u003cp\u003e13.13 Market Sharing\u003c\/p\u003e \u003cp\u003e13.14 Opencast Mining\u003c\/p\u003e \u003cp\u003e13.15 Tariff Rates (Power Generation)\u003c\/p\u003e \u003cp\u003e13.16 Hydro Power\u003c\/p\u003e \u003cp\u003e13.17 Three-dimensional Noughts and Crosses\u003c\/p\u003e \u003cp\u003e13.18 Optimizing a Constraint\u003c\/p\u003e \u003cp\u003e13.19 Distribution 1\u003c\/p\u003e \u003cp\u003e13.20 Depot Location (Distribution 2)\u003c\/p\u003e \u003cp\u003e13.21 Agricultural Pricing\u003c\/p\u003e \u003cp\u003e13.22 Efficiency Analysis\u003c\/p\u003e \u003cp\u003e13.23 Milk Collection\u003c\/p\u003e \u003cp\u003e13.24 Yield Management\u003c\/p\u003e \u003cp\u003e13.25 Car Rental 1\u003c\/p\u003e \u003cp\u003e13.26 Car Rental 2\u003c\/p\u003e \u003cp\u003e13.27 Lost Baggage Distribution\u003c\/p\u003e \u003cp\u003e13.28 Protein Folding\u003c\/p\u003e \u003cp\u003e13.29 Protein Comparison\u003c\/p\u003e \u003cp\u003ePART 4\u003c\/p\u003e \u003cp\u003e14 Solutions to Problems\u003c\/p\u003e \u003cp\u003e14.1 Food Manufacture 1\u003c\/p\u003e \u003cp\u003e14.2 Food Manufacture 2\u003c\/p\u003e \u003cp\u003e14.3 Factory Planning 1\u003c\/p\u003e \u003cp\u003e14.4 Factory Planning 2\u003c\/p\u003e \u003cp\u003e14.5 Manpower Planning\u003c\/p\u003e \u003cp\u003e14.6 Refinery Optimization\u003c\/p\u003e \u003cp\u003e14.7 Mining\u003c\/p\u003e \u003cp\u003e14.8 Farm Planning\u003c\/p\u003e \u003cp\u003e14.9 Economic Planning\u003c\/p\u003e \u003cp\u003e14.10 Decentralization\u003c\/p\u003e \u003cp\u003e14.11 Curve Fitting\u003c\/p\u003e \u003cp\u003e14.12 Logical Design\u003c\/p\u003e \u003cp\u003e14.13 Market Sharing\u003c\/p\u003e \u003cp\u003e14.14 Opencast Mining\u003c\/p\u003e \u003cp\u003e14.15 Tariff Rates (Power Generation)\u003c\/p\u003e \u003cp\u003e14.16 Hydro Power\u003c\/p\u003e \u003cp\u003e14.17 Three-dimensional Noughts and Crosses\u003c\/p\u003e \u003cp\u003e14.18 Optimizing a Constraint\u003c\/p\u003e \u003cp\u003e14.19 Distribution 1\u003c\/p\u003e \u003cp\u003e14.20 Depot Location (Distribution 2)\u003c\/p\u003e \u003cp\u003e14.21 Agricultural Pricing\u003c\/p\u003e \u003cp\u003e14.22 Efficiency Analysis\u003c\/p\u003e \u003cp\u003e14.23 Milk Collection\u003c\/p\u003e \u003cp\u003e14.24 Yield Management\u003c\/p\u003e \u003cp\u003e14.25 Car Rental 1\u003c\/p\u003e \u003cp\u003e14.26 Car Rental 2\u003c\/p\u003e \u003cp\u003e14.27 Lost Baggage Distribution\u003c\/p\u003e \u003cp\u003e14.28 Protein Folding\u003c\/p\u003e \u003cp\u003e14.29 Protein Comparison\u003c\/p\u003e \u003cp\u003eReferences\u003c\/p\u003e \u003cp\u003eAuthor Index\u003c\/p\u003e \u003cp\u003eSubject Index\u003c\/p\u003e \u003cp\u003e\u003cb\u003eH. Paul Williams\u003c\/b\u003e, London School of Economics, UK.\u003c\/p\u003e \u003cp\u003e\u003ci\u003eModel Building in Mathematical Programming\u003c\/i\u003e covers a wide range of applications in many diverse areas, such as operational research, systems engineering, agriculture, energy planning, mining, logistics and distribution, computer science, management science, statistics, applied mathematics and mathematical biology.\u003c\/p\u003e \u003cp\u003e\u003ci\u003eModel Building in Mathematical Programming\u003c\/i\u003e aims to provide students with a solid foundation in the principles of model building as well as the more mathematical, algorithmic side of the subject which is conventionally taught. It is also intended to provide managers with a fairly non-technical appreciation of the scope and limitations of mathematical programming.\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePraise for the \u003ci\u003e4th Edition\u003c\/i\u003e:\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\"Such a text, and this is the only one of this type I know of, should be the basis of all instruction in Mathematical Programming.\"\u003cbr\u003e\u003ci\u003eJournal of the Royal Statistical Society\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e\"An excellent introduction ... for students of business administration and people who want to see the utility of operations research.\"\u003cbr\u003e\u003ci\u003eEuropean Journal of Operational Research\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eThis new edition includes:\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003eNew sections on stochastic programming, column generation and constraint logic programming as well as many enhancements of former sections.\u003c\/li\u003e \u003cli\u003e29 detailed practical problems, including 5 new problems, to enable the reader to build mathematical programming models using the numerical data.\u003c\/li\u003e \u003c\/ul\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47989635252453,"sku":"NP9781118443330","price":58.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9781118443330.jpg?v=1761784899","url":"https:\/\/k12savings.com\/products\/model-building-in-mathematical-programming-isbn-9781118443330","provider":"K12savings","version":"1.0","type":"link"}