Duality and Sensitivity Analysis in a Linear Programming Problem

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ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.:/5 (856 download)

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Book Synopsis Duality and Sensitivity Analysis in a Linear Programming Problem by : Aminah Ahmad

Download or read book Duality and Sensitivity Analysis in a Linear Programming Problem written by Aminah Ahmad and published by . This book was released on 1980 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Using Duality and Sensitivity Analysis to Interpret Linear Programming Solutions

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Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Using Duality and Sensitivity Analysis to Interpret Linear Programming Solutions by : James Edmund Reeb

Download or read book Using Duality and Sensitivity Analysis to Interpret Linear Programming Solutions written by James Edmund Reeb and published by . This book was released on 2000 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Programming, Sensitivity Analysis and Related Topics

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Publisher : Prentice Hall is
ISBN 13 : 9780273723387
Total Pages : 0 pages
Book Rating : 4.7/5 (233 download)

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Book Synopsis Linear Programming, Sensitivity Analysis and Related Topics by : Marie-France Derhy

Download or read book Linear Programming, Sensitivity Analysis and Related Topics written by Marie-France Derhy and published by Prentice Hall is. This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Linear Goal Programming

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Publisher : SAGE Publications, Incorporated
ISBN 13 : 9780803925649
Total Pages : 96 pages
Book Rating : 4.9/5 (256 download)

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Book Synopsis Introduction to Linear Goal Programming by : James P. Ignizio

Download or read book Introduction to Linear Goal Programming written by James P. Ignizio and published by SAGE Publications, Incorporated. This book was released on 1985-11-01 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: Goal programming is one of the most widely used methodologies in operations research and management science, and encompasses most classes of multiple objective programming models. Ignizio provides a concise and lucid overview of (a) the linear goal programming model, (b) a computationally efficient algorithm for solution, (c) duality and sensitivity analysis and (d) extensions of the methodology to integer as well as non-linear models.

Linear Programming

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Publisher : New Age International
ISBN 13 : 9788122410341
Total Pages : 240 pages
Book Rating : 4.4/5 (13 download)

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Book Synopsis Linear Programming by : G. V. Shenoy

Download or read book Linear Programming written by G. V. Shenoy and published by New Age International. This book was released on 2007 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Due To The Availability Of Computer Packages, The Use Of Linear Programming Technique By The Managers Has Become Universal. This Text Has Been Written Primarily For Management Students And Executives Who Have No Previous Background Of Linear Programming. The Text Is Oriented Towards Introducing Important Ideas In Linear Programming Technique At A Fundamental Level And Help The Students In Understanding Its Applications To A Wide Variety Of Managerial Problems. In Order To Strengthen The Understanding, Each Concept Has Been Illustrated With Examples. The Book Has Been Written In A Simple And Lucid Language And Has Avoided Mathematical Derivations So As To Make It Accessible To Every One.The Text Can Be Used In Its Entirely In A Fifteen Session Course At Programmes In Management, Commerce, Economics, Engineering Or Accountancy. The Text Can Be Used In One/Two Week Management/Executive Development Programmes To Be Supplemented With Some Cases. Practicing Managers And Executives, Computer Professionals, Industrial Engineers, Chartered And Cost Accountants And Economic Planners Would Also Find This Text Useful.

Sensitivity Analysis in Linear Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 364282739X
Total Pages : 235 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Sensitivity Analysis in Linear Systems by : Assem Deif

Download or read book Sensitivity Analysis in Linear Systems written by Assem Deif and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: A text surveying perturbation techniques and sensitivity analysis of linear systems is an ambitious undertaking, considering the lack of basic comprehensive texts on the subject. A wide-ranging and global coverage of the topic is as yet missing, despite the existence of numerous monographs dealing with specific topics but generally of use to only a narrow category of people. In fact, most works approach this subject from the numerical analysis point of view. Indeed, researchers in this field have been most concerned with this topic, although engineers and scholars in all fields may find it equally interesting. One can state, without great exaggeration, that a great deal of engineering work is devoted to testing systems' sensitivity to changes in design parameters. As a rule, high-sensitivity elements are those which should be designed with utmost care. On the other hand, as the mathematical modelling serving for the design process is usually idealized and often inaccurately formulated, some unforeseen alterations may cause the system to behave in a slightly different manner. Sensitivity analysis can help the engineer innovate ways to minimize such system discrepancy, since it starts from the assumption of such a discrepancy between the ideal and the actual system.

Postoptimal Analyses, Parametric Programming, and Related Topics

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Publisher : Walter de Gruyter
ISBN 13 : 3110871203
Total Pages : 465 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Postoptimal Analyses, Parametric Programming, and Related Topics by : Tomas Gal

Download or read book Postoptimal Analyses, Parametric Programming, and Related Topics written by Tomas Gal and published by Walter de Gruyter. This book was released on 2010-09-03 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Postoptimal Analyses, Parametric Programming, and Related Topics: Degeneracy, Multicriteria Decision Making Redundancy.

Linear Programming and Network Flows

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Publisher : John Wiley & Sons
ISBN 13 : 1118211324
Total Pages : 595 pages
Book Rating : 4.1/5 (182 download)

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Book Synopsis Linear Programming and Network Flows by : Mokhtar S. Bazaraa

Download or read book Linear Programming and Network Flows written by Mokhtar S. Bazaraa and published by John Wiley & Sons. This book was released on 2011-09-28 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authoritative guide to modeling and solving complex problems with linear programming—extensively revised, expanded, and updated The only book to treat both linear programming techniques and network flows under one cover, Linear Programming and Network Flows, Fourth Edition has been completely updated with the latest developments on the topic. This new edition continues to successfully emphasize modeling concepts, the design and analysis of algorithms, and implementation strategies for problems in a variety of fields, including industrial engineering, management science, operations research, computer science, and mathematics. The book begins with basic results on linear algebra and convex analysis, and a geometrically motivated study of the structure of polyhedral sets is provided. Subsequent chapters include coverage of cycling in the simplex method, interior point methods, and sensitivity and parametric analysis. Newly added topics in the Fourth Edition include: The cycling phenomenon in linear programming and the geometry of cycling Duality relationships with cycling Elaboration on stable factorizations and implementation strategies Stabilized column generation and acceleration of Benders and Dantzig-Wolfe decomposition methods Line search and dual ascent ideas for the out-of-kilter algorithm Heap implementation comments, negative cost circuit insights, and additional convergence analyses for shortest path problems The authors present concepts and techniques that are illustrated by numerical examples along with insights complete with detailed mathematical analysis and justification. An emphasis is placed on providing geometric viewpoints and economic interpretations as well as strengthening the understanding of the fundamental ideas. Each chapter is accompanied by Notes and References sections that provide historical developments in addition to current and future trends. Updated exercises allow readers to test their comprehension of the presented material, and extensive references provide resources for further study. Linear Programming and Network Flows, Fourth Edition is an excellent book for linear programming and network flow courses at the upper-undergraduate and graduate levels. It is also a valuable resource for applied scientists who would like to refresh their understanding of linear programming and network flow techniques.

Linear Optimization and Duality

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Publisher : CRC Press
ISBN 13 : 1439887470
Total Pages : 587 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Linear Optimization and Duality by : Craig A. Tovey

Download or read book Linear Optimization and Duality written by Craig A. Tovey and published by CRC Press. This book was released on 2020-12-15 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Optimization and Dualiyy: A Modern Exposition departs from convention in significant ways. Standard linear programming textbooks present the material in the order in which it was discovered. Duality is treated as a difficult add-on after coverage of formulation, the simplex method, and polyhedral theory. Students end up without knowing duality in their bones. This text brings in duality in Chapter 1 and carries duality all the way through the exposition. Chapter 1 gives a general definition of duality that shows the dual aspects of a matrix as a column of rows and a row of columns. The proof of weak duality in Chapter 2 is shown via the Lagrangian, which relies on matrix duality. The first three LP formulation examples in Chapter 3 are classic primal-dual pairs including the diet problem and 2-person zero sum games. For many engineering students, optimization is their first immersion in rigorous mathematics. Conventional texts assume a level of mathematical sophistication they don’t have. This text embeds dozens of reading tips and hundreds of answered questions to guide such students. Features Emphasis on duality throughout Practical tips for modeling and computation Coverage of computational complexity and data structures Exercises and problems based on the learning theory concept of the zone of proximal development Guidance for the mathematically unsophisticated reader About the Author Craig A. Tovey is a professor in the H. Milton Stewart School of Industrial and Systems Engineering at Georgia Institute of Technology. Dr. Tovey received an AB from Harvard College, an MS in computer science and a PhD in operations research from Stanford University. His principal activities are in operations research and its interdisciplinary applications. He received a Presidential Young Investigator Award and the Jacob Wolfowitz Prize for research in heuristics. He was named an Institute Fellow at Georgia Tech, and was recognized by the ACM Special Interest Group on Electronic Commerce with the Test of Time Award. Dr. Tovey received the 2016 Golden Goose Award for his research on bee foraging behavior leading to the development of the Honey Bee Algorithm.

An Introduction to Linear Programming and Game Theory

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Publisher : John Wiley & Sons
ISBN 13 : 1118165454
Total Pages : 476 pages
Book Rating : 4.1/5 (181 download)

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Book Synopsis An Introduction to Linear Programming and Game Theory by : Paul R. Thie

Download or read book An Introduction to Linear Programming and Game Theory written by Paul R. Thie and published by John Wiley & Sons. This book was released on 2011-09-15 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the Second Edition: "This is quite a well-done book: very tightly organized, better-than-average exposition, and numerous examples, illustrations, and applications." —Mathematical Reviews of the American Mathematical Society An Introduction to Linear Programming and Game Theory, Third Edition presents a rigorous, yet accessible, introduction to the theoretical concepts and computational techniques of linear programming and game theory. Now with more extensive modeling exercises and detailed integer programming examples, this book uniquely illustrates how mathematics can be used in real-world applications in the social, life, and managerial sciences, providing readers with the opportunity to develop and apply their analytical abilities when solving realistic problems. This Third Edition addresses various new topics and improvements in the field of mathematical programming, and it also presents two software programs, LP Assistant and the Solver add-in for Microsoft Office Excel, for solving linear programming problems. LP Assistant, developed by coauthor Gerard Keough, allows readers to perform the basic steps of the algorithms provided in the book and is freely available via the book's related Web site. The use of the sensitivity analysis report and integer programming algorithm from the Solver add-in for Microsoft Office Excel is introduced so readers can solve the book's linear and integer programming problems. A detailed appendix contains instructions for the use of both applications. Additional features of the Third Edition include: A discussion of sensitivity analysis for the two-variable problem, along with new examples demonstrating integer programming, non-linear programming, and make vs. buy models Revised proofs and a discussion on the relevance and solution of the dual problem A section on developing an example in Data Envelopment Analysis An outline of the proof of John Nash's theorem on the existence of equilibrium strategy pairs for non-cooperative, non-zero-sum games Providing a complete mathematical development of all presented concepts and examples, Introduction to Linear Programming and Game Theory, Third Edition is an ideal text for linear programming and mathematical modeling courses at the upper-undergraduate and graduate levels. It also serves as a valuable reference for professionals who use game theory in business, economics, and management science.

An Introduction to Linear Programming

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Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 260 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis An Introduction to Linear Programming by : Gordon Raymond Walsh

Download or read book An Introduction to Linear Programming written by Gordon Raymond Walsh and published by John Wiley & Sons. This book was released on 1985 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second edition of a book first published by Holt, Rinehart and Winston in 1971. It gives a simple, concise, mathematical account of linear programming, and is an ideal introduction to the subject. The author concentrates on the simplex method, including a thorough consideration of the theory of duality in linear programming. The penultimate chapter is devoted to three well-known applications of theoretical interest - the transportation problem, the assignment problem and the theory of games. This second edition is enhanced by the addition of a final chapter on the ellipsoid method, and the revision of the section on Sensitivity Analysis.

Introduction to Operations Research: Linear programming: 3. Introduction to linear programming. 4. Solving linear programming problems : the simplex method. 5. The theory of the simplex method. 6. Duality theory and sensitivity analysis. 7. Special types of linear programming problems. 8. Formulating linear programming models, including goal programming. 9. Other algorithms for linear programming

Download Introduction to Operations Research: Linear programming: 3. Introduction to linear programming. 4. Solving linear programming problems : the simplex method. 5. The theory of the simplex method. 6. Duality theory and sensitivity analysis. 7. Special types of linear programming problems. 8. Formulating linear programming models, including goal programming. 9. Other algorithms for linear programming PDF Online Free

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Publisher :
ISBN 13 :
Total Pages : 954 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Introduction to Operations Research: Linear programming: 3. Introduction to linear programming. 4. Solving linear programming problems : the simplex method. 5. The theory of the simplex method. 6. Duality theory and sensitivity analysis. 7. Special types of linear programming problems. 8. Formulating linear programming models, including goal programming. 9. Other algorithms for linear programming by : Frederick S. Hillier

Download or read book Introduction to Operations Research: Linear programming: 3. Introduction to linear programming. 4. Solving linear programming problems : the simplex method. 5. The theory of the simplex method. 6. Duality theory and sensitivity analysis. 7. Special types of linear programming problems. 8. Formulating linear programming models, including goal programming. 9. Other algorithms for linear programming written by Frederick S. Hillier and published by . This book was released on 1990 with total page 954 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Text Book Of Linear Programming-I

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Publisher : Discovery Publishing House
ISBN 13 : 9788183560023
Total Pages : 284 pages
Book Rating : 4.5/5 (6 download)

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Book Synopsis Text Book Of Linear Programming-I by : A.K. Sharma

Download or read book Text Book Of Linear Programming-I written by A.K. Sharma and published by Discovery Publishing House. This book was released on 2005 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Programming has progressed a great deal during last two decades. It is becoming increasingly sophisticated with the availability of computer facilities and infusion of new concepts. The text of this book has been presented in easy and simple language. Throughout the text, the two streams theory and technique run side by side. Each technique is preceded by the relevant theory followed by suitable examples. A large number of important problems mostly drawn from university examination papers has been included. Contents: Time Minimization Problem, Transportation Problem, Sensitivity Analysis, Duality.

Linear Programming

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Publisher : Springer Science & Business Media
ISBN 13 : 1461476305
Total Pages : 420 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Linear Programming by : Robert J Vanderbei

Download or read book Linear Programming written by Robert J Vanderbei and published by Springer Science & Business Media. This book was released on 2013-07-16 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Fourth Edition introduces the latest theory and applications in optimization. It emphasizes constrained optimization, beginning with a substantial treatment of linear programming and then proceeding to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. Readers will discover a host of practical business applications as well as non-business applications. Topics are clearly developed with many numerical examples worked out in detail. Specific examples and concrete algorithms precede more abstract topics. With its focus on solving practical problems, the book features free C programs to implement the major algorithms covered, including the two-phase simplex method, primal-dual simplex method, path-following interior-point method, and homogeneous self-dual methods. In addition, the author provides online JAVA applets that illustrate various pivot rules and variants of the simplex method, both for linear programming and for network flows. These C programs and JAVA tools can be found on the book's website. The website also includes new online instructional tools and exercises.

Operations Research (linear Programming)

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Publisher : bohem press
ISBN 13 : 9788122416190
Total Pages : 278 pages
Book Rating : 4.4/5 (161 download)

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Book Synopsis Operations Research (linear Programming) by : P Rama Murthy

Download or read book Operations Research (linear Programming) written by P Rama Murthy and published by bohem press. This book was released on 2005 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Subject Operations Research Is A Branch Of Mathematics. Many Authors Have Written Books On Operations Research. Most Of Them Have Mathematical Approach Rather Than Decision-Making Approach. Actually The Subject Deals With Applied Decision Theory, So I Have Dealt With The Subject With Decision-Theory Approach. The Book Has Fifteen Chapters.The First Five Chapters Deal With Linear Programming Problems, Such As Resource Allocation Problem, Transportation Problem And Assignment Problem Both Maximization And Minimization Versions. In The First Chapter, The Historical Background Of Operations Research (O.R.) And Definition And Objective Of The Subject Matter Along With Model Building Is Discussed To Help The Learners To Have Basic Knowledge Of O.R. Typical Problems Of Mathematical Orientation And Decision Making Orientation Have Been Solved. In Transportation Model And In Assignment Model, Problems Useful To Production And Operations Management Have Been Solved To Make The Students To Know The Application Part Of The Subject.The Sixth Chapter Deals With Sequencing Model, Where The Importance And Application Of The Models Is Dealt In Detail. The Problem Of Replacement Is Discussed In Chapter-7. Inventory Model With Certain Topics Like Abc, Ved, Fsn, P-System And Q-System Is Discussed To Make The Students Aware Of The Importance Of Inventory Model.Chapter-9 Deals With Waiting Line Model And Its Application With Certain Useful Problems And Their Solutions. Game Theory Or Competitive Theory Is Discussed In Chapter-10 With Certain Problems, Which Have Their Application In Real World Situation.Dynamic Programming Is Dealt In Chapter-11. The Problems Worked Out Have Practical Significance. Chapter-12 Deals With Decision Theory Where The Usefulness Of Decision Tree Is Discussed. Non-Linear Programming Is Briefly Discussed In Chapter-14 With Certain Useful Problems. In Chapter -15, The Two Network Techniques I.E. Pert And Cpm Have Been Discussed With Typical Worked Out Examples.At The End Of The Book, Objective Type Questions, Which Are Helpful For Competitive Examinations Are Given To Help The Students To Prepare For Such Examinations.

Engineering Optimization

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Publisher : New Age International
ISBN 13 : 9788122411492
Total Pages : 936 pages
Book Rating : 4.4/5 (114 download)

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Book Synopsis Engineering Optimization by : S. S. Rao

Download or read book Engineering Optimization written by S. S. Rao and published by New Age International. This book was released on 2000 with total page 936 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Rigorous Mathematical Approach To Identifying A Set Of Design Alternatives And Selecting The Best Candidate From Within That Set, Engineering Optimization Was Developed As A Means Of Helping Engineers To Design Systems That Are Both More Efficient And Less Expensive And To Develop New Ways Of Improving The Performance Of Existing Systems.Thanks To The Breathtaking Growth In Computer Technology That Has Occurred Over The Past Decade, Optimization Techniques Can Now Be Used To Find Creative Solutions To Larger, More Complex Problems Than Ever Before. As A Consequence, Optimization Is Now Viewed As An Indispensable Tool Of The Trade For Engineers Working In Many Different Industries, Especially The Aerospace, Automotive, Chemical, Electrical, And Manufacturing Industries.In Engineering Optimization, Professor Singiresu S. Rao Provides An Application-Oriented Presentation Of The Full Array Of Classical And Newly Developed Optimization Techniques Now Being Used By Engineers In A Wide Range Of Industries. Essential Proofs And Explanations Of The Various Techniques Are Given In A Straightforward, User-Friendly Manner, And Each Method Is Copiously Illustrated With Real-World Examples That Demonstrate How To Maximize Desired Benefits While Minimizing Negative Aspects Of Project Design.Comprehensive, Authoritative, Up-To-Date, Engineering Optimization Provides In-Depth Coverage Of Linear And Nonlinear Programming, Dynamic Programming, Integer Programming, And Stochastic Programming Techniques As Well As Several Breakthrough Methods, Including Genetic Algorithms, Simulated Annealing, And Neural Network-Based And Fuzzy Optimization Techniques.Designed To Function Equally Well As Either A Professional Reference Or A Graduate-Level Text, Engineering Optimization Features Many Solved Problems Taken From Several Engineering Fields, As Well As Review Questions, Important Figures, And Helpful References.Engineering Optimization Is A Valuable Working Resource For Engineers Employed In Practically All Technological Industries. It Is Also A Superior Didactic Tool For Graduate Students Of Mechanical, Civil, Electrical, Chemical And Aerospace Engineering.

Linear Programming and Network Flows

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Publisher :
ISBN 13 :
Total Pages : 706 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Linear Programming and Network Flows by : Mokhtar S. Bazaraa

Download or read book Linear Programming and Network Flows written by Mokhtar S. Bazaraa and published by . This book was released on 1990 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents