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Model Building in Mathematical Programming 4th Edition (Paperback)

by H. P. Williams (Author) "Many applications of science make use of models ..." (more)
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Product details

  • Paperback: 368 pages
  • Publisher: John Wiley & Sons; 4th Edition edition (31 Aug 1999)
  • Language English
  • ISBN-10: 0471997889
  • ISBN-13: 978-0471997887
  • Product Dimensions: 22.9 x 15.2 x 2.3 cm
  • Average Customer Review: 5.0 out of 5 stars See all reviews (1 customer review)
  • Amazon.co.uk Sales Rank: 335,318 in Books (See Bestsellers in Books)

    Popular in these categories:

    #33 in  Books > Science & Nature > Mathematics > Optimisation > Linear Programming
    #82 in  Books > Science & Nature > Mathematics > Applied Mathematics > Mathematical Modelling
    #82 in  Books > Science & Nature > Mathematics > Modelling
  • See Complete Table of Contents

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Product Description

Product Description
Review of previous editions

′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.′ Journal of the Royal Statistical Society

′An excellent introduction ... for students of business administration and people who want to see the utility of operations research.′ European Journal of Operational Research

′It will be appreciated very much by practitioners who already have knowledge in the field of mathematical programming.′ Mathematical Programming Society Newsletter Model Building in Mathematical Programming Fourth Edition H. Paul Williams Faculty of Mathematical Studies, University of Southampton, UK

This extensively revised fourth edition of this well–known and much praised book contains a great deal of new material. In particular sections and new problems have been added covering Revenue Management. Hydro Electric Generation, Date Envelopment (efficiency) Analysis, Milk Distribution and Collection and Constraint Programming. The book discusses the general principles of model building in mathematical programming and shows how they can be applied by using simplified but practical problems from widely different contexts. Suggested formulations and solutions are given in the latter part of the book together with computational experience to give the reader a feel for the computation difficulty of solving that particular type of model. Aimed at undergraduates, postgraduates, research students and managers, 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 interpretation 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.

From the Back Cover
Review of previous editions

′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.′ Journal of the Royal Statistical Society

′An excellent introduction ... for students of business administration and people who want to see the utility of operations research.′ European Journal of Operational Research

′It will be appreciated very much by practitioners who already have knowledge in the field of mathematical programming.′ Mathematical Programming Society Newsletter Model Building in Mathematical Programming Fourth Edition H. Paul Williams Faculty of Mathematical Studies, University of Southampton, UK

This extensively revised fourth edition of this well–known and much praised book contains a great deal of new material. In particular sections and new problems have been added covering Revenue Management. Hydro Electric Generation, Date Envelopment (efficiency) Analysis, Milk Distribution and Collection and Constraint Programming. The book discusses the general principles of model building in mathematical programming and shows how they can be applied by using simplified but practical problems from widely different contexts. Suggested formulations and solutions are given in the latter part of the book together with computational experience to give the reader a feel for the computation difficulty of solving that particular type of model. Aimed at undergraduates, postgraduates, research students and managers, 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 interpretation 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.

Inside This Book (Learn More)
First Sentence
Many applications of science make use of models. Read the first page
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Customer Reviews

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Most Helpful Customer Reviews

 
5.0 out of 5 stars Excellent book on optimization, 30 Nov 2008
By Carlos (Madrid, Spain) - See all my reviews
(REAL NAME)   
While most books put the emphasis on algorithms Mr. Williams, a brilliant researcher in the field of optimization, has always been interested on the modelling side of the problem.

This books covers the basics of mathematical modelling without paying any attention to how the model will be solved when it is not relevant: it gives insights to how to model the problems to different objectives, being only one of them to achieve higher solving speeds.

I found this book to cover a very important and unattended part of the work of an OR engineer: specially interesting and helpful are the chapters on logical conditions and their translation to the mixed integer linear programming (MILP) paradigm.

The structure of the book is interesting:

(1-250 pages) The book itself
(2- 20 pages) Around 10 practical problems
(3- 80 pages) Their formulation and solving

There is many a practical lesson to learn from these examples, but you are welcome to try them first to take full advantage from them.

A must-have to anyone in their way to becoming a serious OR engineer.

Pro's:
- No algorithms, solvers are treated as black boxes.
- Extensive coverage on modelling alternatives.
- Focus on difficult practical problems: MILP
- Good bibliography, good historical notes.
- Nice structure.
- Easy to read and very interesting.

Con's:
- None to me
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