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

Zörnig, Peter

 
9783540545934: Degeneracy Graphs and Simplex Cycling (Lecture Notes in Economics and Mathematical Systems, 357)
Softcover
ISBN 10: 354054593X ISBN 13: 9783540545934
Publisher: Springer, 1991

Synopsis

Many problems in economics can be formulated as linearlyconstrained mathematical optimization problems, where thefeasible 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 anoptimal 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 ofdegeneracy graphs is developed generally, which will serveas 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.

"synopsis" may belong to another edition of this title.

Publisher
Springer
Publication date
1991
Language
English
ISBN 10 
354054593X
ISBN 13 
9783540545934
Binding
Paperback
Number of pages
212