Degeneracy Graphs and Simplex Cycling Paperback / softback
by Peter Zoernig
Part of the Lecture Notes in Economics and Mathematical Systems series
Paperback / softback
Description
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.
Information
-
Item not Available
- Format:Paperback / softback
- Pages:196 pages, 16 Tables, black and white; XVI, 196 p.
- Publisher:Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- Publication Date:13/11/1991
- Category:
- ISBN:9783540545934
Information
-
Item not Available
- Format:Paperback / softback
- Pages:196 pages, 16 Tables, black and white; XVI, 196 p.
- Publisher:Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- Publication Date:13/11/1991
- Category:
- ISBN:9783540545934
