Linear Programming and its Applications

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9783540736707: Linear Programming and its Applications
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In the pages of this text readers will find nothing less than a unified treatment of linear programming. Without sacrificing mathematical rigor, the main emphasis of the book is on models and applications. The most important classes of problems are surveyed and presented by means of mathematical formulations, followed by solution methods and a discussion of a variety of "what-if" scenarios. Non-simplex based solution methods and newer developments such as interior point methods are covered.

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This book presents a unified treatment of linear programming. Without sacrificing mathematical rigor, the main emphasis of the book is on models and applications. The most important classes of problems are surveyed and presented by means of  mathematical formulations, followed by solution methods and a discussion of a variety of "what-if" scenarios. Non-simplex based solution methods and newer developments such as interior point methods are covered along with a variety of approaches that incorporate multiple objectives in the model.  

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"The aim of this book is to focus on the modelling aspects of Linear Programming (LP) ... . the book is a good self-contained resource that introduces readers to the vast area of LP and its applications. This book is suitable for a variety of audiences including undergraduate and postgraduate students, practitioners and scientists who are new or relatively new to LP. ... Overall ... a good introductory book to Linear Programming that combines formal presentations of concepts and techniques with illustrative examples." (D Silva, Journal of the Operational Research Society, Vol. 60, 2009)

"The book intends to present ‘a unified treatment of linear programming’ ... . the background of the authors, the kind of the presentation, and the choice of the considered applications indicates that it will primarily attract students and researchers who have interest in operations research and in economical problems. ... the main emphasis of the book is on models and applications." (Rembert Reemtsen, Zentralblatt MATH, Vol. 1154, 2009)

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