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Degeneracy Graphs and Simplex Cycling: 357 (Lecture Notes in Economics and Mathematical Systems) - Softcover
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Book by Zrnig Peter
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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 verti- ces, 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 des- cribing and solving degeneracy problems. The study of dege- neracy graphs opens a new field of research with many theo- retical aspects and practical applications. The present pu- blication 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 dege- neracy graphs will be used to explain simplex cycling, i.e. necessary and sufficient conditions for cycling will be de- rived.
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- VerlagSpringer
- Erscheinungsdatum1991
- ISBN 10 354054593X
- ISBN 13 9783540545934
- EinbandTapa blanda
- Anzahl der Seiten216
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Degeneracy Graphs and Simplex Cycling
Verlag:
Springer Berlin Heidelberg
(1991)
ISBN 10: 354054593X
ISBN 13: 9783540545934
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Buchbeschreibung Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Artikel-Nr. 9783540545934
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