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pro vyhledávání: '"Dempe, Stephan"'
Autor:
Dempe, Stephan, Mehlitz, Patrick
Usually, bilevel optimization problems need to be transformed into single-level ones in order to derive optimality conditions and solution algorithms. Among the available approaches, the replacement of the lower-level problem by means of duality rela
Externí odkaz:
http://arxiv.org/abs/2405.07672
In this chapter, we are concerned with inverse optimal control problems, i.e., optimization models which are used to identify parameters in optimal control problems from given measurements. Here, we focus on linear-quadratic optimal control problems
Externí odkaz:
http://arxiv.org/abs/2305.19786
This article continues our study on simple bilevel and simple MPEC problems. In this article we focus on developing algorithms. We show how using the idea of a gap function one can represent a simple MPEC as a simple bilevel problem with non-smooth d
Externí odkaz:
http://arxiv.org/abs/1912.06380
In this paper we begin by discussing the simple bilevel programming problem (SBP) and its extension the simple mathematical programming problem under equilibrium constraints (SMPEC). Here we first define both these problems and study their interrelat
Externí odkaz:
http://arxiv.org/abs/1912.06376
The authors' paper in Optimization 63 (2014), 505-533, see Ref. [5], was the first one to provide detailed optimality conditions for pessimistic bilevel optimization. The results there were based on the concept of the two-level optimal value function
Externí odkaz:
http://arxiv.org/abs/1711.11127
Publikováno v:
Optimization; Aug2024, Vol. 73 Issue 8, p2501-2526, 26p
Publikováno v:
Vietnam Journal of Mathematics; January 2025, Vol. 53 Issue: 1 p153-169, 17p