Publication | Closed Access
NORMAL CONES TO A POLYHEDRAL CONVEX SET AND GENERATING EFFICIENT FACES IN LINEAR MULTIOBJECTIVE PROGRAMMING
20
Citations
7
References
2000
Year
Unknown Venue
Mathematical ProgrammingGeometric ModelingConic OptimizationEngineeringNegative Normal ConesNatural SciencesConvex OptimizationConvex HullNormal ConesDiscrete MathematicsLinear ProgrammingCombinatorial OptimizationComputational GeometryPolyhedral ConvexQuadratic ProgrammingOperations Research
In this paper we describe the normal cones to a polyhedral convex set and their polarity with the faces of the set. Then we express optimaltity conditions in terms of negative normal cones and propose a method for generating efficient solution faces of a linear multiobjective programming problem together with some computational examples.
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