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Top rated linear programming books
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Best overall WileyLinear Programming and Network Flows by Mokhtar S. Bazaraa, John J. Jarvis, Hanif D. Sherali
Comprehensive coverage of linear programming theory and network flow algorithms, widely used in graduate courses and industry.
- Thorough theoretical treatment
- Includes network flows
- Practical applications
- Can be dense for beginners
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Best for theory ATHENA SCIENTIFICIntroduction to Linear Optimization by Dimitris Bertsimas, John N. Tsitsiklis
Rigorous yet accessible introduction to linear optimization, covering simplex method, duality, and complexity.
- Clear explanations
- Strong theoretical foundation
- Well-structured exercises
- Limited software coverage
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Best for practitioners SpringerLinear Programming: Foundations and Extensions by Robert J. Vanderbei
Balances theory and computation, with emphasis on interior-point methods and practical implementation.
- Includes software tips
- Covers interior-point methods
- Readable style
- Less depth on network flows
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Best for advanced students SpringerLinear and Nonlinear Programming by David G. Luenberger, Yinyu Ye
Classic text covering both linear and nonlinear programming, with a mathematical approach suitable for graduate study.
- Comprehensive coverage
- Rigorous proofs
- Includes advanced topics
- Not for beginners
- Dense notation
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Best for operations researchOptimization in Operations Research by Ronald L. Rardin
Applied focus on linear programming and optimization models in operations research, with case studies.
- Many real-world examples
- Modeling perspective
- Includes software guides
- Lacks theoretical depth
- Expensive
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Best budget pick
Linear Programming: Algorithms and Applications by Vasek Chvatal
Concise introduction to linear programming algorithms and their applications, with a practical slant.
- Affordable
- Clear algorithms
- Applied focus
- Outdated software references
- Limited scope
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Best for MATLAB users Society for Industrial and Applied Mathematics (SIAM)Linear Programming with MATLAB by Michael C. Ferris, Olvi L. Mangasarian, Stephen J. Wright
Integrates linear programming theory with MATLAB implementation, ideal for computational learners.
- Hands-on MATLAB examples
- Practical exercises
- Clear code
- Requires MATLAB access
- Theory light
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Best introductory text Brand: Duxbury PressOperations Research: Applications and Algorithms by Wayne L. Winston
Widely used introductory operations research textbook with extensive coverage of linear programming and applications.
- Easy to follow
- Many examples
- Includes Excel/Solver
- Very bulky
- Less theory
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Best for self-study
Linear Programming: An Introduction to Finite Improvement Ideas by Bruno Simeone
Unique approach focusing on the finite improvement interpretation of the simplex method, suitable for independent learners.
- Intuitive explanations
- Self-contained
- Unique perspective
- Less comprehensive
- Limited distribution
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Best lightweight book SpringerUnderstanding and Using Linear Programming by Jiří Matoušek, Bernd Gärtner
Short, accessible introduction to linear programming, covering the essential concepts without heavy math.
- Very readable
- Quick overview
- Affordable
- Not in-depth
- Few exercises
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