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Optimisation linéaire et dualité : une exposition moderne par Craig A. Tovey (anglais)-
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- Achat immédiatOptimisation linéaire et dualité : une exposition moderne par Craig A. Tovey (anglais)
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Numéro de l'objet eBay :386908014512
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Caractéristiques de l'objet
- État
- ISBN-13
- 9781439887462
- Book Title
- Linear Optimization and Duality
- ISBN
- 9781439887462
- Publication Year
- 2019
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Subject Area
- Mathematics, Technology & Engineering, Business & Economics
- Publication Name
- Linear Programming with Duals : a Modern Exposition
- Publisher
- CRC Press LLC
- Item Length
- 9.2 in
- Subject
- Operations Research, Linear & Nonlinear Programming, Applied
- Item Width
- 6.1 in
- Number of Pages
- 480 Pages
À propos de ce produit
Product Identifiers
Publisher
CRC Press LLC
ISBN-10
1439887462
ISBN-13
9781439887462
eBay Product ID (ePID)
109294310
Product Key Features
Number of Pages
480 Pages
Language
English
Publication Name
Linear Programming with Duals : a Modern Exposition
Subject
Operations Research, Linear & Nonlinear Programming, Applied
Publication Year
2019
Type
Textbook
Subject Area
Mathematics, Technology & Engineering, Business & Economics
Format
Hardcover
Dimensions
Item Length
9.2 in
Item Width
6.1 in
Additional Product Features
Intended Audience
College Audience
Dewey Edition
23
Illustrated
Yes
Dewey Decimal
519.72
Table Of Content
Introduction Notation What Is Linear Programming? Visualizing LP Presolving LP Problems Formulating and Solving Linear Programs Three Classic Primal/Dual Formulation Pairs LP Modeling Methods More Examples of LP Formulation Using Software to Solve LPs Dual Variables as Shadow Prices Problems Polyhedra Separation Fourier-Motzkin Elimination Theorems of the Alternative Extreme Points and Optimal Solutions Two Ways to Represent Polyhedra Problems The Simplex Method and Its Variants The Simplex Method Complications Variants High Level Computational Issues The Geography of Mount Duality Variants of Farkas's Lemma and of Strong Duality To and From Helly's Theorem Other Walking Trails on the TV Mountain Sensitivity Analysis and Other Predictions The Mathematical Justification of Shadow Prices Sensitivity Analysis Column Generation Degeneracy Parametric Programming Networks Network Models Network Simplex Method Dijkstra's Algorithm for Shortest Paths Max Flow Min Cut Algorithms Hungarian Algorithm for Assignment as Primal-Dual Method Integrality and Duality Logarithmic Barrier and Other Interior-Point Methods Column Geometry of Simplex and Affine Scaling Algorithms Logarithmic Barrier and the Central Path Sparseness and Factorization Degeneracy, Crossover, and Other Considerations Advanced Topics on Polyhedra Polarity Separation Characterization of Convexity Polyhedral Cones Facets of Polyhedra Formulating and Solving Integer Programs Examples of IP Formulation Tighter Formulations Solving IPs Computational Complexity Introduction Complexity, and NP-Hardness The Straight Dope: Theory and Practice YES/NO Form The Nuts and Bolts of NP-Hardness Proofs Spotting Complexity Illustrations of Common Pitfalls Examples of NP-Hardness Proofs Dealing with NP-Hard Problems Other Complexity Classifications Conclusions and Recommended Reading Answers to Questions
Synopsis
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., This textbook presents a theoretical treatment of linear programming, network flows and applications, integer programming, and computational complexity. The author includes a rigorous discussion of theory, numerous examples and exercises, and geometric intuitive explanations. He also offers computational tips and interpretation of software input. Unlike other books, this text incorporates duality throughout its chapters, rather than treating it as an add-on topic. It also discusses computational complexity theory, which can be used to classify problems according to the appropriate solution method.
LC Classification Number
T57.74
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- l***c (227)- Évaluations laissées par l'acheteur.Dernier moisAchat vérifiéBook came packaged well to avoid damage, in great condition. Not sure if the seller delayed shipping or if usps didn’t update the shipping, which is highly likely. Still received and we are happy with our purchase. I had trouble looking up tracking due to the company they used but seller found usps tracking and sent that over quickly. Sellers communication was excellent. Would buy from again. Item as described.
- t***n (2908)- Évaluations laissées par l'acheteur.Dernier moisAchat vérifiéI don't give negatives; However, description was not correct; No price guide was included in this book.As you will see in book pic shown; title states price guide included, no price guide inside. Communication poor, description, no communication price guide missing from this book. Shipping time was weeks before it was even shipped. Blamed the shipping on warehouse. You own & operate a business; your warehouse is not up to standards you change who you do business with. It's your responsibility.
- -***6 (133)- Évaluations laissées par l'acheteur.6 derniers moisAchat vérifiéItem arrived as described and adequately packaged. Ridiculously long shipping time. Seller posts incorrect tracking number and lists the item as shipped. Contacted seller for correct tracking, received a new tracking number with the warning that the number won’t be “live” until the item is shipped. Will you get your item? Yeah, probably. Count on it being delivered 2-3 weeks longer than expected.
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