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Anglický jazyk
Degeneracy Graphs and Simplex Cycling
Autor: Peter Zörnig
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...
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O knihe
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.
- Vydavateľstvo: Springer Berlin Heidelberg
- Rok vydania: 1991
- Formát: Paperback
- Rozmer: 244 x 170 mm
- Jazyk: Anglický jazyk
- ISBN: 9783540545934
