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

Zörnig, Peter

Softcover

ISBN 10: 354054593X ISBN 13: 9783540545934

Publisher: Springer Berlin Heidelberg, 1991

Synopsis

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.

Edition details

• Publisher: Springer Berlin Heidelberg
• Publication date: 1991
• Language: English
• ISBN 10: 354054593X
• ISBN 13: 9783540545934
• Binding: Paperback
• Number of pages: 216