Model Building in Mathematical Programming 5th Edition, Kindle Edition

by H. Paul Williams (Author) Format: Kindle Edition

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Editorial Reviews

From the Inside Flap

Model Building in Mathematical Programming 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.

Model Building in Mathematical Programming 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.

Praise for the 4th Edition:

'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

This new edition includes:

New sections on stochastic programming, column generation and constraint logic programming as well as many enhancements of former sections.

29 detailed practical problems, including 5 new problems, to enable the reader to build mathematical programming models using the numerical data.

--This text refers to the paperback edition.

About the Author

H. Paul Williams, London School of Economics, UK

--This text refers to the paperback edition.

Product details

ASIN ‏ : ‎ B00B8Y6MIG
Publisher ‏ : ‎ Wiley; 5th edition (January 18, 2013)
Publication date ‏ : ‎ January 18, 2013
Language ‏ : ‎ English
File size ‏ : ‎ 11170 KB
Simultaneous device usage ‏ : ‎ Up to 3 simultaneous devices, per publisher limits
Text-to-Speech ‏ : ‎ Enabled
Screen Reader ‏ : ‎ Supported
Enhanced typesetting ‏ : ‎ Enabled
X-Ray ‏ : ‎ Not Enabled
Word Wise ‏ : ‎ Enabled
Print length ‏ : ‎ 434 pages
Lending ‏ : ‎ Not Enabled

Best Sellers Rank: #572,540 in Kindle Store (See Top 100 in Kindle Store)
- #7 in Linear Programming (Kindle Store)
- #56 in Linear Programming (Books)
- #190 in Business Management Science

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Wayne Folta

Excellent!

Reviewed in the United States on October 7, 2013

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The fifth edition came out in 2013 and it's exactly what I was looking for. It's current and it feels current. It's well-written and organized, with many worked examples, including 29 problems in chapters 12-14.

These 29 examples are pretty clever, and make up all of Section II (chapters 12-14). For example, 12.1 describes a food manufacturing (blending) problem in sufficient detail for you to create a model. 13.1 describes the model, broken down into a one-month solution (13.1.1) and the more-complex ongoing production problem (31.1.2). Last, 14.1 describes the answer you get from the model in 13.1.

I'm not trained in OR, but have a bit of practical experience in creating a model in GMPL, and the book's exactly what I needed. It talks about mathematical modeling in general and touches on things like constraint programming, then covers designing a linear model, structured linear models (i.e. linear models with sub models), and various linear model applications. Then it covers the interpretation of linear models, and looks at non-linear models before falling into the longest part (two chapters) on integer programming. That's Section I, which is followed by Section II and its 29 examples.

If you're new to linear programming or have some self-taught experience, this is a perfect book. It has a lot of insights, well-organized, and the examples are very valuable. I'm totally satisfied!

5 people found this helpful

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Chris R

A must-have for anyone building math programming models (optimization)

Reviewed in the United States on November 23, 2015

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This book has no code. It isn't written for any particular solver. It simply (and critically importantly) helps you think about a very broad range of problems and then do the math formulation for them. With that you can implement the result in whatever API for whatever solver you want. A really great book that has and will stand the test of time (with a few small exceptions given some new modeling techniques).

3 people found this helpful

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JRVV

Excellent Resource for Consultants

Reviewed in the United States on March 15, 2020

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Useful reference for a management consultant. Gives sufficient number of uses of operations research or management science. Optimal breadth and depth for my needs.

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TingYu Ho

Good book for new modeler

Reviewed in the United States on December 3, 2018

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Very useful book for modeling, especially the chapters with 30 examples

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Sheng Zhang

Good guidance on modeling

Reviewed in the United States on July 12, 2021

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Very good book teaching you math modeling with concrete examples, and modeling tricks!

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Francisco Roberto Farias Guimaraes Junior

It is a perfect book for who want to learn Mathematical Modeling and ...

Reviewed in the United States on November 17, 2014

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It is a perfect book for who want to learn Mathematical Modeling and Mathematical Programming for linear and non linear optimization and multigoal programming

One person found this helpful

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Michael A Fox

The definitive guide

Reviewed in the United States on September 7, 2013

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The first edition was excellent and Paul Williams has added scope and more examples to each new edition. An essential companion for all Operations Research students and for experienced professionals.

Reviewed in the United States on September 19, 2016

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Great book!!

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Michael Winckler

Sehr schönes Buch zur mathematischen Modllierung

Reviewed in Germany on May 15, 2014

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Das Buch "Model Building in Mathematical Programming" deckt einen weiten bereich der Modellierung in der mathematischen Optimierung ab. In vier Teilen wird Theorie und Praxis der Modellierung linearer (und zu in einem kleinen Ausblick: nichtlinearer) Optimierung vorgestellt.

Teil 1 stellt die Klasse der linearen optimierungsmodell vor und führt, stets anhand von praktischen beispielen, in die Modellierung der Zielfunktion sowie der Nebenbedingungen ein. Dabei werden mehrere Klassen von nebenbedingungen besprochen und auch die Frage diskreter vs. kontinuierlicher Modellanteile thematisiert. Die Beispiele stammen aus klassischen bereichen der mathematischen Programmierung wie z.B. Scheduling-Problemen und Netzwerk-Modellen.

Teil 2 führt in mehrere Problembereiche ein und stellt kurz und knapp die Modellprobleme vor. Diesen Bereich finde ich sehr hilfreich, denn er zeigt die Problemformulierung so, wie sie ein Mathematiker in Zusammenarbeit mit einem Kunden präsentiert bekommt. Lediglich die Rahmendaten (die man sich in der Praxis evtl. auch mühevoll zusammensuchen muss) sind schon klar in Tabellen strukturiert - z.T. auch mit klaren Hinweisen auf eine mögliche Modellierung, aber manchmal ist das auch zunächst nicht so klar.

Teil 3 zeigt dann, wie man aus den Problemformulierungen in Teil 2 mathematische Optimierungsmodelle generieren kann. Diese Umsetzung diskutiert auch mögliche Modellvarianten, führt Schritt für Schritt zum komplexen Gesamtmodell und zeigt auch auf, wo ganzzahlige Modellierung eingesetzt werden muss, um aussagekräftige Modelle zu erhalten.

Teil 4 schließlich listet in kompakter Form die Lösungen der jeweiligen Probleme auf - nicht als zahlenfriedhof, sondern übersichtlich dargestellt und auf die Originalfragestellung hin ausgerichtet. So schliesst sich der Modellkreislauf (zumindest näherungsweise).

Die aufgeführten Modelle zeigen auch, dass ohne mathematische Software für solcher Probleme eigentlich keine Lösungen mehr generiert werden können. Ich hätte mir hier gewünscht, dass es etwas mehr "kleine" Probleme, bei denen man sich noch mit Papier und Stift an eine Lösung herantasten kann. Aber auf der anderen Seite sind solche Spielzeugprobleme fast immer weit weg von der Realität - was dieses Buch vermeiden will.

*Lösungsverfahren* werden in diesem Buch nicht angesprochen. Das ist so gewollt und auch nicht die Zeilsetzung der Autoren. Für die Klasse der linearen Modelle gibt es ja auch schon viele gute algorithmische Bücher, während ein solches Modellbuch mir bisher noch gefehlt hat.

Fazit: Ein tolles Buch, um bis ins Detail mathematische Modellierung zu lernen. Es richtet sich an Studierende in höheren Semestern und sit ideal zur Begleitung einer Modellierungsvorlesung geeignet.

2 people found this helpful

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Erik

Ein absolut wertvolles und einsichtsreiches Buch

Reviewed in Germany on October 13, 2015

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Ein überraschend klares und erklärendes Buch über Mathematsche Programmierung und Programmierungsmodellen. Nicht begrenzt auf das Wirtschaftsleben sondern zu verwenden in (fast) jede Situation wo man eine kalkulierte Lösung sucht für Entscheidungsprobleme. Kann man nur empfehlen wie Fachliteratur aber auch zu verwenden vom Anfänger.

One person found this helpful

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Francisco

Excelente libro para modelado en problemas de optimización

Reviewed in Mexico on August 14, 2017

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Este libro es el adecuado para tener una introducción al planteamiento de problemas de optimización, esta segunda edición tiene más ejemplos que la primera.

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Cliente Amazon

Great insights, especially for beginners or for those who want to revisit key aspects on model building.

Reviewed in Brazil on October 15, 2015

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The book has met my expectations as I beginner on mathematical programming. The author provides a broad explanation and precious insigths on problem characterization, model building and solution interpretation. It will certainly help me to do my job better. I do recommend this book!