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Linear Programming: Methods and Applications

by Saul I. Gass

A broad introduction to linear programming

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Awards & Recognition

  • Critical praise

    Praised by the Journal of the American Statistical Association as “one of the best” introductory books on linear programming

    The source quotes the journal calling it one of the best introductory books on linear programming and describing...

AlbakiReads Editorial

A broad introduction to linear programming

Saul I. Gass’s fifth edition ranges across the theory, computation, and application of linear programming. Its topics include the simplex and revised simplex methods, duality, degeneracy, parametric programming, and sensitivity analysis, alongside transportation problems and other applications. A concluding section turns to nonlinear programming. Numerical examples and exercises with selected answers are included throughout, giving the book both a worked-problem component and a reference role. The coverage makes connections between mathematical methods and their use in fields such as economics, statistics, and applied analysis.

Good fit for readers who enjoy

  • Students seeking a structured introduction to linear programming methods and applications.
  • Research analysts, applied mathematicians, economists, or statisticians looking for a reference spanning theory and computation.

Themes

Linear programming theory and computationOptimization applicationsSensitivity analysis and dualityNonlinear programming

Based on publisher information and book metadata.

Book overview

"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.
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