Conical Approach to Linear Programming
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A01=P D'Alessandro
advanced linear programming techniques
Author_P D'Alessandro
Category=PBU
Category=UM
Category=UYA
Conical optimality conditions
Convex cones
Dual conical algorithms
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Essential background
Euclidean spaces
General Theory
Linear optimization problems
mathematical optimisation
numerical algorithm implementation
polyhedral theory
primal dual methods
robust decision analysis
vector optimisation
Product details
- ISBN 9789056990312
- Weight: 754g
- Dimensions: 152 x 229mm
- Publication Date: 29 Oct 1997
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Hardback
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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.
