Title: Properties of Characteristic Parameter Sets for Special Classes of Optimization Problems
Abstract: In this chapter we restrict our considerations to parametric optimization problems in finite-dimensional spaces, some results may however be extended to linear normed spaces. We are concerned with characteristic parameter sets for various classes of parametric optimization problems, such sets are the feasible parameter set 𝔅 (the set of parameters for which the constraint set is non-empty) and the solubility set A, i.e. the set of parameters for which the optimal set is non-empty. Moreover the characterization of the convexity set 𝕮t (the set of parameters for which the objective function is convex) is of interest with respect to convex parametric problems. This chapter however centres around local stability studies in which we consider certain subsets of the solubility set on which the optimal solution and extreme values of the corresponding optimization problems are, in a certain sense, stable.KeywordsLocal StabilityLinear Complementarity ProblemParametric ProblemConvex PolyhedronParametric Optimization ProblemThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Publication Year: 1982
Publication Date: 1982-01-01
Language: en
Type: book-chapter
Indexed In: ['crossref']
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