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- Title
Vector equilibrium flows with nonconvex ordering relations.
- Authors
Cheng, T. C. E.; Li, S. J.; Yang, X. Q.
- Abstract
In this note we introduce the concept of vector network equilibrium flows when the ordering cone is the union of finitely many closed and convex cones. We show that the set of vector network equilibrium flows is equal to the intersection of finitely many sets, where each set is a collection of vector equilibrium flows with respect to a closed and convex cone. Sufficient and necessary conditions for a vector equilibrium flow are presented in terms of scalar equilibrium flows.
- Subjects
ECONOMIC equilibrium; NONCONVEX programming; SCALAR field theory; FLOWS (Differentiable dynamical systems); SUFFICIENT reason
- Publication
Journal of Global Optimization, 2010, Vol 46, Issue 4, p537
- ISSN
0925-5001
- Publication type
Article
- DOI
10.1007/s10898-009-9437-8