2 citations · 4 across the 6 of their papers we have counts for
6 papers
A simple algorithm for the simple bilevel programming (SBP) problem
Stephan Dempe, Joydeep Duta, Tanushree Pandit +1
In this article we intend to develop a simple and implementable algorithm for minimizing a convex function over the solution set of another convex optimization problem. Such a prob…
Duality-based single-level reformulations of bilevel optimization problems
Stephan Dempe, Patrick Mehlitz
Usually, bilevel optimization problems need to be transformed into single-level ones in order to derive optimality conditions and solution algorithms. Among the available approache…
Bilevel Optimal Control: Theory, Algorithms, and Applications
Stephan Dempe, Markus Friedemann, Felix Harder +2
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 meas…
Simple Bilevel Programming and Extensions Part-II: Algorithms
Stephan Dempe, Nguyen Dinh, Joydeep Dutta +1
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…
Simple Bilevel Programming and Extensions, Part-1: Theory
Stephan Dempe, Nguyen Dinh, Joydeep Dutta +1
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…
Two-level value function approach to nonsmooth optimistic and pessimistic bilevel programs
Stephan Dempe, Boris S. Mordukhovich, Alain B. Zemkoho
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 t…