Conical Approach to Linear Programming: 1st Edition (Hardback) book cover

Conical Approach to Linear Programming

1st Edition

By P D'Alessandro

CRC Press

300 pages

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Hardback: 9789056990312
pub: 1997-10-29
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The conical approach provides a geometrical understanding of optimization and is a powerful research tool and useful problem-solving technique (for example, in decision support and real time control applications).

Conical optimality conditions are first stated in a very general optimization framework, and then applied to linear programming. A complete theory along with primal and dual algorithms is given, and solutions and algorithms are also provided for vector and robust linear optimization. The advantages of parameter dependence of conical methods are fully discussed. In addition to numerical results, the book provides source codes and detailed documentation of a Modula-2 implementation for the main algorithms.

Table of Contents

Part I: General Theory

Part II: Further Advanced Results

Part III: Implementations and Numerical Results

Subject Categories

BISAC Subject Codes/Headings:
COMPUTERS / Programming / Algorithms
MATHEMATICS / Geometry / General