What topics are covered in Linear Programming: Methods and Applications: Fifth Edition?

The book covers a wide array of topics related to linear programming, including fundamental concepts, optimization techniques, duality, and sensitivity analysis. Additionally, it delves into real-world applications, providing detailed examples across various fields such as operations research, economics, and engineering. Whether you're a student or a professional, these concepts will help you understand the methodologies behind solving complex decision-making problems.

Is this edition significantly different from previous editions?

Yes, the Fifth Edition includes updated examples, enhanced exercises, and revised content reflecting current practices in linear programming. It also emphasizes computational techniques and software applications, making it more relevant for modern users. These improvements make it an essential resource for learners and practitioners looking to stay current with the latest methodologies in the field.

Who is the target audience for this book?

The primary audience for Linear Programming: Methods and Applications is students and professionals in fields such as mathematics, computer science, economics, and engineering. It serves as a textbook for courses on optimization and operations research, while also being a valuable reference for industry practitioners. Its accessible language and comprehensive examples make it suitable for both novice learners and experienced experts.

What are some practical applications of linear programming discussed in the book?

The book illustrates practical applications of linear programming in various sectors such as logistics, finance, production planning, and resource allocation. For example, it explains how businesses employ linear programming to optimize supply chain management or to maximize profits by determining the best combination of products to manufacture. These real-life scenarios help demonstrate the importance and versatility of linear programming techniques.

Does the book include exercises or problems for practice?

Yes, each chapter in Linear Programming: Methods and Applications includes a variety of exercises and problems, allowing readers to apply the concepts learned. These practice problems range from basic to advanced levels, encouraging critical thinking and problem-solving skills. By working through these exercises, readers can enhance their understanding and gain confidence in applying linear programming techniques.

Can this book help with software applications in linear programming?

Absolutely! The Fifth Edition covers the use of software tools for linear programming, including popular optimization packages. It explains how to use these tools effectively for solving real-world problems, which is crucial for today’s data-driven decision-making environments. By familiarizing yourself with these software applications, you can streamline your problem-solving processes and leverage technology for optimal solutions.

Are there any prerequisites to understand the content of this book?

While the book is written to be accessible, readers will benefit from a basic understanding of algebra and introductory calculus. Familiarity with mathematical concepts enhances the learning experience and allows for a deeper comprehension of linear programming techniques. If you're willing to review these fundamentals, you'll find the material approachable and rewarding.

What makes this book a reliable resource for learning linear programming?

Linear Programming: Methods and Applications is widely regarded for its clear explanations, structured approach, and practical examples. The authors are renowned experts in the field, which lends credibility to the content. Additionally, its comprehensive coverage of both theory and application ensures that readers receive a well-rounded education in linear programming, making it a trusted reference for students and professionals alike.

How does the book approach advanced topics in linear programming?

The book progresses from fundamental concepts to more advanced topics like integer programming and nonlinear programming. Each advanced section builds on previously established knowledge, ensuring that readers can follow along without feeling overwhelmed. This structured approach allows learners to develop a strong foundation before tackling more complex subjects, which is beneficial for mastering advanced applications of linear programming.

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Linear Programming: Methods and Applications: Fifth Edition (Dover Books on Computer Science)

Clear and comprehensive in its coverage of the entire spectrum of linear programming techniques

Numéro d'article: 16645232

Linear Programming: Methods and Applications: Fifth Edition (Dover Books on Computer Science)

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Ce qui se démarque

Comprehensive Coverage

This fifth edition provides extensive insights into linear programming methods and their applications, making it an invaluable resource for students and professionals seeking a thorough understanding of the subject.

Updated Content

Incorporating the latest research and practical applications, this edition reflects current trends and advancements in linear programming, ensuring relevance for today's learners and practitioners.

Accessible Format

Published by Dover Books on Computer Science, the format is designed for easy comprehension, catering to both beginners and advanced users, enhancing the learning experience through clear explanations and examples.

Détails du produit

“One of the best introductory books on linear programming … excellent.” — Journal of the American Statistical Association.“A good elementary text. ”— Mathematical Reviews.Clear and comprehensive in its coverage of the entire spectrum of linear programming techniques, this volume introduces theoretical, computational, and applied concepts. Considerations of theoretical and computational methods include the general linear programming problem, the simplex computational procedure, the revised simplex method, the duality problems of linear programming, degeneracy procedures, parametric linear programming and sensitivity analysis, and additional computational techniques. The treatment of applications covers the transportation problem and general linear programming applications, and a final part examines nonlinear programming. Numerical examples and exercises with selected answers appear in every chapter. Useful both as a text and as a reference, this volume provides valuable help to research analysts, applied mathematicians, economists, statisticians, and others wishing to make effective use of modern programming techniques.

Publisher	Dover Publications
Publication date	November 18, 2010
Edition	Fifth
Language	English
Print length	544 pages
ISBN-10	048643284X
ISBN-13	978-0486432847
Item Weight	10.4 ounces (294.84 grams)
Dimensions	6.16 x 1.09 x 9.2 inches (15.6 x 2.8 x 23.4 cm)

À qui est-ce destiné ?

Students of Mathematics
Ideal for undergraduate and graduate students seeking a comprehensive understanding of linear programming concepts and applications.
Operations Researchers
Beneficial for professionals in operations research who require advanced methods and techniques for problem-solving in optimization.
Industry Practitioners
Useful for industry professionals looking to implement linear programming in real-world business decision-making and resource allocation.

Casual Readers
Not suitable for those looking for a light or introductory read on mathematics or programming topics.

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Linear Programming Editorial Review

The fifth edition of 'Linear Programming: Methods and Applications' is highly recommended for those with a basic math background. It provides accessible yet rigorous explanations and proofs for important theorems. The book covers a wide range of LP problems, including reduced cost calculations, parametric objective functions, multiobjective problems, and sensitivity analysis. The author's use of graphical explanations helps readers connect and understand the concepts easily. However, those with a commerce background may find other alternatives more suited to their needs. Additionally, the book is lacking in deeper knowledge such as interior point methods. Overall, it is a good book for beginners, especially those unfamiliar with linear algebra.

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Avantages

Accessible for non-mathematicians
Rigorous explanations and proofs
Wide range of LP problems covered
Graphical explanations aid understanding
Good book for beginners

Les inconvénients

May not be suitable for those with a commerce background

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Caractéristiques et avantages

The book covers theoretical, computational, and applied concepts of linear programming
It includes the simplex computational procedure, revised simplex method and sensitivity analysis
Numerical examples and exercises with selected answers are provided in every chapter
Great for research analysts, mathematicians, economists, statisticians and anyone else needing to make use of programming techniques

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Linear Programming: Methods and Applications: Fifth Edition (Dover Books on Computer Science)

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Linear Programming Editorial Review

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