The Resource Logic and integer programming, by H. Paul Williams
Logic and integer programming, by H. Paul Williams
Resource Information
The item Logic and integer programming, by H. Paul Williams represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 2 library branches.
Resource Information
The item Logic and integer programming, by H. Paul Williams represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 2 library branches.
 Summary
 Integer programming (discrete optimization) is best used for solving problems involving discrete, whole elements. Using integer variables, one can model logical requirements, fixed costs, sequencing and scheduling requirements, and many other problem aspects. Whether it's taught in OR graduate programs or in math or computer science programs; in courses called "Integer Programming," "Combinatorial Optimization," "Combinatorial Optimization and Integer Programming" or simply "Advanced Operations Management," it's a part of every OR curriculum, and one of its greatest teachers has developed a text that shows how to use logic in integer programming to develop models with much greater precision. Paul Williams, a leading authority on modeling in integer programming, has written a concise, readable introduction to the science and art of using modeling in logic for integer programming. Written for graduate and postgraduate students, as well as academics and practitioners, the book is divided into four chapters that all avoid the typical format of definitions, theorems and proofs and instead introduce concepts and results within the text through examples. References are given at the end of each chapter to the more mathematical papers and texts on the subject, and exercises are included to reinforce and expand on the material in the chapter. Chapter 1 gives a basic introduction to logic and its aims, and goes on to explain the Propositional and Predicate Calculus. Chapter 2 explains Linear Programming (LP) and Integer Programming (IP) using the machinery of logic; explains the fundamental structural and mathematical properties of these types of models, along with the main methods of solving IP models; covers main areas of practical application; and attempts to distinguish between computationally 'difficult' and 'easy' classes of problem. Chapter 3 applies logic to the formulation of IP models using the methods explained in chapter 1 and looks at the deeper mathematical concepts involved. Chapter 4 then covers the fundamental problem of computational logic: the satisfiability problem, which lies at the heart of the entire book. Methods of solving with both logic and IP are given and their connections are described. Applications in diverse fields are discussed, and Williams shows how IP models can be expressed as satisfiability problems and solved as such
 Language
 eng
 Extent
 1 online resource (xi, 155 pages)
 Contents

 An Introduction To Logic
 Integer Programming
 Modelling In Logic For Integer Programming
 The Satisfiability Problem and Its Extensions
 Isbn
 9780387922805
 Label
 Logic and integer programming
 Title
 Logic and integer programming
 Statement of responsibility
 by H. Paul Williams
 Subject

 COMPUTERS  Programming  Open Source
 COMPUTERS  Software Development & Engineering  General
 COMPUTERS  Software Development & Engineering  Tools
 Economie de l'entreprise
 Integer programming
 Integer programming
 Integer programming
 Lineare Optimierung
 Logic programming
 Logic programming
 Logic programming
 Science économique
 Affaires
 Language
 eng
 Summary
 Integer programming (discrete optimization) is best used for solving problems involving discrete, whole elements. Using integer variables, one can model logical requirements, fixed costs, sequencing and scheduling requirements, and many other problem aspects. Whether it's taught in OR graduate programs or in math or computer science programs; in courses called "Integer Programming," "Combinatorial Optimization," "Combinatorial Optimization and Integer Programming" or simply "Advanced Operations Management," it's a part of every OR curriculum, and one of its greatest teachers has developed a text that shows how to use logic in integer programming to develop models with much greater precision. Paul Williams, a leading authority on modeling in integer programming, has written a concise, readable introduction to the science and art of using modeling in logic for integer programming. Written for graduate and postgraduate students, as well as academics and practitioners, the book is divided into four chapters that all avoid the typical format of definitions, theorems and proofs and instead introduce concepts and results within the text through examples. References are given at the end of each chapter to the more mathematical papers and texts on the subject, and exercises are included to reinforce and expand on the material in the chapter. Chapter 1 gives a basic introduction to logic and its aims, and goes on to explain the Propositional and Predicate Calculus. Chapter 2 explains Linear Programming (LP) and Integer Programming (IP) using the machinery of logic; explains the fundamental structural and mathematical properties of these types of models, along with the main methods of solving IP models; covers main areas of practical application; and attempts to distinguish between computationally 'difficult' and 'easy' classes of problem. Chapter 3 applies logic to the formulation of IP models using the methods explained in chapter 1 and looks at the deeper mathematical concepts involved. Chapter 4 then covers the fundamental problem of computational logic: the satisfiability problem, which lies at the heart of the entire book. Methods of solving with both logic and IP are given and their connections are described. Applications in diverse fields are discussed, and Williams shows how IP models can be expressed as satisfiability problems and solved as such
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorName
 Williams, H. P
 Dewey number
 005.1/1
 Illustrations
 illustrations
 Index
 index present
 Language note
 English
 LC call number
 QA76.63
 LC item number
 .W55 2009
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 International series in operations research & management science
 Series volume
 130
 http://library.link/vocab/subjectName

 Logic programming
 Integer programming
 COMPUTERS
 COMPUTERS
 COMPUTERS
 Economie de l'entreprise
 Science économique
 Affaires
 Integer programming
 Logic programming
 Lineare Optimierung
 Label
 Logic and integer programming, by H. Paul Williams
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 An Introduction To Logic  Integer Programming  Modelling In Logic For Integer Programming  The Satisfiability Problem and Its Extensions
 Control code
 405546101
 Dimensions
 unknown
 Extent
 1 online resource (xi, 155 pages)
 Form of item
 online
 Isbn
 9780387922805
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number

 9786612127144
 10.1007/9780387922805
 Other physical details
 illustrations
 http://library.link/vocab/ext/overdrive/overdriveId
 212714
 Specific material designation
 remote
 System control number
 (OCoLC)405546101
 Label
 Logic and integer programming, by H. Paul Williams
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 An Introduction To Logic  Integer Programming  Modelling In Logic For Integer Programming  The Satisfiability Problem and Its Extensions
 Control code
 405546101
 Dimensions
 unknown
 Extent
 1 online resource (xi, 155 pages)
 Form of item
 online
 Isbn
 9780387922805
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number

 9786612127144
 10.1007/9780387922805
 Other physical details
 illustrations
 http://library.link/vocab/ext/overdrive/overdriveId
 212714
 Specific material designation
 remote
 System control number
 (OCoLC)405546101
Subject
 COMPUTERS  Programming  Open Source
 COMPUTERS  Software Development & Engineering  General
 COMPUTERS  Software Development & Engineering  Tools
 Economie de l'entreprise
 Integer programming
 Integer programming
 Integer programming
 Lineare Optimierung
 Logic programming
 Logic programming
 Logic programming
 Science économique
 Affaires
Member of
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