The effectiveness of the algorithms of linear programming in solving problems is largely dependent upon the particular applications from which these problems arise. A first course in linear programming should not only allow one to solve many different types of problems in many different contexts but should provide deeper insights into the fields in which linear programming finds its utility. To this end, the emphasis throughtout Linear Programming and Its Applications is on the acquisition of linear programming skills via the algorithmic solution of small-scale problems both in the general sense and in the specific applications where these problems naturally occur. The first part of the book deals with methods to solve general linear programming problems and discusses the theory of duality which connects these problems. The second part of the book deals with linear programming in different applications including the fields of game theory and graph theory as well as the more traditional transportation and assignment problems. The book is versatile; in as much as Linear Programming and Its Applications is intended to be used as a first course in linear programming, it is suitable for students in such varying fields as mathematics, computer science, engineering, actuarial science, and economics.
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This review is from: Linear Programming and Its Applications (Undergraduate Texts in Mathematics) (Hardcover)
I took the class for which this book was used as a sophomore, and found it to be very accessible. In retrospect, I would have liked to have studied some linear algebra before having taken this course, but still, I found this to be a very interesting course as a stand-alone.
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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duality theory, maximization linear programming problem, basic feasible tableaus, minimization linear programming problem, minimum tableau, edges into the source, maximum tableau, maximum basic feasible, unique fixed source, canonical maximization, canonical linear programming problems, negative transposition, balanced transportation problem, high hand wins the pot, weighted directed network, unconstrained independent variable, whose basic solution, anticycling rules, transportation tableau, canonical tableau, tableau entries, filed equation, simplex algorithm solution, reduced payoff matrix, game tableau Key Phrases - Capitalized Phrases (CAPs): (learn more)
Network-Flow Problems, Find the von Neumann, The Vogel Advanced-Start Method, The Minimal-Cost-Flow Network Problem, The Maximal-Flow Algorithm, The Assignment Problem, Geometric Linear Programming, Solve Example, Reduced Tableau New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
duality theory, maximization linear programming problem, basic feasible tableaus, minimization linear programming problem, minimum tableau, edges into the source, maximum tableau, maximum basic feasible, unique fixed source, canonical maximization, canonical linear programming problems, negative transposition, balanced transportation problem, high hand wins the pot, weighted directed network, unconstrained independent variable, whose basic solution, anticycling rules, transportation tableau, canonical tableau, tableau entries, filed equation, simplex algorithm solution, reduced payoff matrix, game tableau Key Phrases - Capitalized Phrases (CAPs): (learn more)
Network-Flow Problems, Find the von Neumann, The Vogel Advanced-Start Method, The Minimal-Cost-Flow Network Problem, The Maximal-Flow Algorithm, The Assignment Problem, Geometric Linear Programming, Solve Example, Reduced Tableau New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
95
books
cite this book:
See all 95 books citing this book
- Basic Topology (Undergraduate Texts in Mathematics) by M.A. Armstrong in Back Matter (1), and Back Matter (2)
- Introduction to the Mathematics of Finance: From Risk Management to Options Pricing (Undergraduate Texts in Mathematics) by Steven Roman in Back Matter
- Differential Equations: An Introduction with Mathematica® (Undergraduate Texts in Mathematics) by Clay C. Ross in Back Matter
- The Heritage of Thales (Undergraduate Texts in Mathematics / Readings in Mathematics) by W.S. Anglin in Back Matter
- Topology of Surfaces (Undergraduate Texts in Mathematics) by L.Christine Kinsey in Back Matter
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