Stability in linear optimization and related topics. A personal tour

• Marco A. López ^[1]
  1. [1] Universitat d'Alacant

     Universitat d'Alacant

     Alicante, España

     
• Localización: Top, ISSN-e 1863-8279, ISSN 1134-5764, Vol. 20, Nº. 2, 2012, págs. 217-244
• Idioma: inglés
• Enlaces
  • Texto completo (pdf)
• Resumen

  • 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.