Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The exact solution of bilevel optimization problems is a very challenging task that received more and more attention in recent years, as witnessed by the flourishing recent literature on this topic.   present ideas and algorithms to solve to proven optimality generic Mixed-Integer Bilevel Linear Programs MIBLP's where all constraints are linear, and some/all variables are required to take integer values. In doing so,  look for a general-purpose approach applicable to any MIBLP under mild conditions, rather than ad-hoc methods for specific cases. Our approach concentrates on minimal additions required to convert an effective branch-and-cut MILP exact code into a valid MIBLP solver, thus inheriting the wide arsenal of MILP tools cuts, branching rules, heuristics available in modern solvers.
['Matteo Fischetti', 'Ivana Ljubić', 'Michele Monaci', 'Markus Sinnl']
I am writing a research paper on a idea Intersection Cuts for Bilevel Optimization
[{"from": "human", "value": "I am writing a research paper on a idea Intersection Cuts for Bilevel Optimization"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The exact solution of bilevel optimization problems is a very challenging task that received more and more attention in recent years, as witnessed by the flourishing recent literature on this topic.   present ideas and algorithms to solve to proven optimality generic Mixed-Integer Bilevel Linear Programs MIBLP's where all constraints are linear, and some/all variables are required to take integer values. In doing so,  look for a general-purpose approach applicable to any MIBLP under mild conditions, rather than ad-hoc methods for specific cases. Our approach concentrates on minimal additions required to convert an effective branch-and-cut MILP exact code into a valid MIBLP solver, thus inheriting the wide arsenal of MILP tools cuts, branching rules, heuristics available in modern solvers."}]