Optimality conditions for pessimistic bilevel problems using convexificator
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DOI: 10.1007/s11117-020-00737-x
Abstract: The purpose of this paper is to study the pessimistic version of bilevel programming problems in finite-dimensional spaces. Problems of this type are intrinsically nonsmooth (even for smooth initial data). By using optimal value function,… read more here.
Keywords: optimality conditions; bilevel; pessimistic bilevel; bilevel problems ... See more keywords
One way to solve pessimistic bilevel optimization problems
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DOI: 10.1080/02331934.2025.2487713
Abstract: This paper addresses a bilevel optimization problem with a guaranteed (pessimistic) solution in a rather general form. The problem is reduced to a family of bilevel problems with optimistic solutions and perturbed follower's problems. For… read more here.
Keywords: bilevel optimization; optimization problems; problem; bilevel problems ... See more keywords
Heuristic Methods for Γ-Robust Mixed-Integer Linear Bilevel Problems
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DOI: 10.1287/ijoc.2023.0239
Abstract: Because of their nested structure, bilevel problems are intrinsically hard to solve—even if all variables are continuous and all parameters of the problem are exactly known. In this paper, we study mixed-integer linear bilevel problems… read more here.
Keywords: mixed integer; heuristic methods; linear bilevel; integer linear ... See more keywords