Degeneracy Graphs and Simplex Cycling (Lecture Notes in Economics and Mathematical Systems, Band 357) - Softcover

Zörnig, Peter

 
9783540545934: Degeneracy Graphs and Simplex Cycling (Lecture Notes in Economics and Mathematical Systems, Band 357)

Inhaltsangabe

Many problems in economics can be formulated as linearly 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.The so called 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 publication pursues two aims. On the one hand the theory of degeneracy graphs is developed generally, which will serve as a basis for further applications. On the other hand degeneracy graphs will be used to explain simplex cycling, i.e. necessary and sufficient conditions for cycling will be derived.

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9780387545936: Degeneracy Graphs and Simplex Cycling (Lecture Notes in Economics & Mathematical Systems)

Vorgestellte Ausgabe

ISBN 10:  038754593X ISBN 13:  9780387545936
Verlag: Springer Verlag, 1991
Hardcover