Stability in linear optimization and related topics. A personal tour |
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Authors: | Marco A López |
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Institution: | 1. Department of Statistics and Operations Research, Alicante University, 03071, San Vicente de Raspeig, Alicante, Spain
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Abstract: | This paper is a kind of biased survey of the most representative and recent results on stability for the linear optimization problem. Qualitative and quantitative approaches are considered in this survey, and some infinite-dimensional extensions of the main results to more general problems are also included. In particular the paper deals with the lower/upper semicontinuity of the feasible/optimal set mappings, different types of ill-posedness, distance to ill-posedness, Lipschitz properties of these mappings under different types of perturbations, and estimates of the associated Lipschitz bounds. |
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