Model Building in Mathematical Programming

Author: H. Paul Williams
Publisher: John Wiley & Sons
ISBN: 1118506189
Format: PDF, Mobi
Download Now
The 5th edition of Model Building in Mathematical Programmingdiscusses the general principles of model building in mathematicalprogramming and demonstrates how they can be applied by usingseveral simplified but practical problems from widely differentcontexts. Suggested formulations and solutions are given togetherwith some computational experience to give the reader a feel forthe computational difficulty of solving that particular type ofmodel. Furthermore, this book illustrates the scope and limitationsof mathematical programming, and shows how it can be applied toreal situations. By emphasizing the importance of the building andinterpreting of models rather than the solution process, the authorattempts to fill a gap left by the many works which concentrate onthe algorithmic side of the subject. In this article, H.P. Williams explains his originalmotivation and objectives in writing the book, how it has beenmodified and updated over the years, what is new in this editionand why it has maintained its relevance and popularity over theyears: ahref="http://www.statisticsviews.com/details/feature/4566481/Model-Building-in-Mathematical-Programming-published-in-fifth-edition.html"http://www.statisticsviews.com/details/feature/4566481/Model-Building-in-Mathematical-Programming-published-in-fifth-edition.html/a

SAS OR 12 1 User s Guide

Author: SAS Institute
Publisher: SAS Institute
ISBN: 1612903800
Format: PDF, ePub, Docs
Download Now
Supplements the SAS/OR User's Guide: Mathematical Programming with additional examples that demonstrate best practices for building and solving linear programming, mixed integer linear programming, and quadratic programming problems. The problem statements are reproduced with permission from the book Model Building in Mathematical Programming by H. Paul Williams. This title is also available online.

Building and Solving Mathematical Programming Models in Engineering and Science

Author: Enrique Castillo
Publisher: John Wiley & Sons
ISBN: 0471461652
Format: PDF, ePub, Docs
Download Now
Fundamental concepts of mathematical modeling Modeling is one of the most effective, commonly used tools inengineering and the applied sciences. In this book, the authorsdeal with mathematical programming models both linear and nonlinearand across a wide range of practical applications. Whereas other books concentrate on standard methods of analysis,the authors focus on the power of modeling methods for solvingpractical problems-clearly showing the connection between physicaland mathematical realities-while also describing and exploring themain concepts and tools at work. This highly computational coverageincludes: * Discussion and implementation of the GAMS programmingsystem * Unique coverage of compatibility * Illustrative examples that showcase the connection between modeland reality * Practical problems covering a wide range of scientificdisciplines, as well as hundreds of examples and end-of-chapterexercises * Real-world applications to probability and statistics, electricalengineering, transportation systems, and more Building and Solving Mathematical Programming Models in Engineeringand Science is practically suited for use as a professionalreference for mathematicians, engineers, and applied or industrialscientists, while also tutorial and illustrative enough foradvanced students in mathematics or engineering.

SAS OR 9 3 User s Guide

Author: SAS Institute
Publisher: SAS Institute
ISBN: 1612902626
Format: PDF, ePub
Download Now
Supplements the SAS/OR User's Guide: Mathematical Programming with additional examples that demonstrate best practices for building and solving linear programming, mixed integer linear programming, and quadratic programming problems. The problem statements are from the book Model Building in Mathematical Programming by H. Paul Williams. This book is suitable for both new and experienced users of SAS/OR optimization, but some previous exposure to optimization topics is recommended. This title is also available online.SAS Products and Releases: SAS/OR: 9.3 Operating Systems: All

Logic and Integer Programming

Author: H. Paul Williams
Publisher: Springer Science & Business Media
ISBN: 0387922806
Format: PDF, ePub
Download Now
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. 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.

Operations Research

Author: Frederick S. Hillier
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3486792083
Format: PDF, ePub, Mobi
Download Now
Aus dem Inhalt: Was ist Operations Research? Überblick über die Modellierungsgrundsätze des Operations Research. Einführung in die lineare Programmierung. Die Lösung linearer Programmierungsprobleme: Das Simplexverfahren. Stochastische Prozesse. Warteschlangentheorie. Lagerhaltungstheorie. Prognoseverfahren. Markov-Entscheidungsprozesse. Reliabilität. Entscheidungstheorie. Die Theorie des Simplexverfahrens Qualitätstheorie und Sensitivitätsanalyse Spezialfälle linearer Programmierungsprobleme. Die Formulierung linearer Programmierungsmodelle und Goal-Programmierung. Weitere Algorithmen der linearen Programmierung. Netzwerkanalyse einschließlich PERT-CPM. Dynamische Optimierung. Spieltheorie. Ganzzahlige Programmierung. Nichtlineare Programmierung Simulation. Anhang. Lösungen für ausgewählte Übungsaufgaben.

Computational Mathematical Programming

Author: Klaus Schittkowski
Publisher: Springer Science & Business Media
ISBN: 3642824501
Format: PDF, Mobi
Download Now
This book contains the written versions of main lectures presented at the Advanced Study Institute (ASI) on Computational Mathematical Programming, which was held in Bad Windsheim, Germany F. R., from July 23 to August 2, 1984, under the sponsorship of NATO. The ASI was organized by the Committee on Algorithms (COAL) of the Mathematical Programming Society. Co-directors were Karla Hoffmann (National Bureau of Standards, Washington, U.S.A.) and Jan Teigen (Rabobank Nederland, Zeist, The Netherlands). Ninety participants coming from about 20 different countries attended the ASI and contributed their efforts to achieve a highly interesting and stimulating meeting. Since 1947 when the first linear programming technique was developed, the importance of optimization models and their mathematical solution methods has steadily increased, and now plays a leading role in applied research areas. The basic idea of optimization theory is to minimize (or maximize) a function of several variables subject to certain restrictions. This general mathematical concept covers a broad class of possible practical applications arising in mechanical, electrical, or chemical engineering, physics, economics, medicine, biology, etc. There are both industrial applications (e.g. design of mechanical structures, production plans) and applications in the natural, engineering, and social sciences (e.g. chemical equilibrium problems, christollography problems).

Optimierung

Author: Kurt Littger
Publisher: Springer-Verlag
ISBN: 364287729X
Format: PDF, ePub, Docs
Download Now
Optimierung ist eine Aufgabe von besonderer Bedeutung für Unternehmen und Organisationen. Durch wachsenden Wettbewerb wird dieses Thema immer wichtiger. Hier wird es in einer Darstellungsform behandelt, die den Praktiker ohne große mathematische Vorkenntnisse in dieses komplexe Sachgebiet einführt. Hierbei werden theoretische (algorithmische) Aspekte konzeptionell behandelt und in Beziehung zu Aspekten der Datenverarbeitung (Software) sowie zu den Anwendungsgebieten gestellt, wie z.B. Standort-, Personal-, Produktions- und Vertriebsplanung von Unternehmen. Das Buch führt den Leser von den klassischen Methoden und Anwendungen bis zu den neuesten Verfahren und Problemstellungen betriebswirtschaftlicher und technischer Art. Es trägt dazu bei, dem großen Interessentenkreis aus den verschiedensten Branchen den Blick für die Möglichkeiten des rechnergestützten Optimierens zu öffnen. Von besonderem Wert für den Leser ist der einführende Charakter der Darstellung und das reichhaltige, strukturierte Literaturverzeichnis.

Optimierungssysteme

Author: Leena Suhl
Publisher: Springer-Verlag
ISBN: 3642389376
Format: PDF, Mobi
Download Now
Dieses Buch bietet eine Einführung in angewandte Optimierungssysteme für wirtschaftswissenschaftliche Anwendungen. Es konzentriert sich methodisch auf den praxisrelevanten Bereich der linearen und gemischt-ganzzahligen Optimierung sowie auf weitere bewährte Methodiken, wie heuristische Verfahren und Simulation. Neben der Aufführung wichtiger Modelleigenschaften und Lösungsmethoden werden Techniken der Modellierung praktischer Aufgabenstellungen besprochen. Wichtige Netzwerkkmodelle, wie kürzeste Wege, Flussmodelle mit minimalen Kosten sowie Tourenplanungs- und Standortplanungsmodelle werden zusammen mit Anwendungen in der Transportlogistik für den Personen- und Güterverkehr diskutiert. Die Darstellung wird durch zahlreiche Praxisbeispiele, unter anderem aus Projekten der Autoren, abgerundet.