Degeneracy Graphs and Simplex Cycling

By:

Peter Zornig

Format:

Paperback / softback

Series:

Lecture Notes in Economics and Mathematical Systems

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Description

Many problems in economics can be formulated as early constrained mathematical optimization problems, where the feasible solution set X represents a convex polyhedral set. In practice, the set X frequently contains degenerate vertices, yielding diverse problems in the determination of an optimal solution as well as in postoptimal analysis. Degeneracy graphs represent a useful tool for describing and solving degeneracy problems. The study of degeneracy graphs opens a new field of research with many theoretical aspects and practical applications. The present monograph pursues two aims. On the one hand, the theory of degeneracy graphs is developed generally, to serve as a basis for further applications. On the other hand, degeneracy graphs are used to explain simplex cycling, and necessary and sufficient conditions for cycling are derived.

Release date Australia

November 13th, 1991

Author

Peter Zornig

Audience

Professional & Vocational

Edition

Softcover reprint of the original 1st ed. 1991

Illustrations

XVI, 196 p.

Pages

196

Series

Lecture Notes in Economics and Mathematical Systems

Dimensions

170x244x11

ISBN-13

9783540545934

Product ID

14229868

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