Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   address the problem of the infeasibility of systems defined by reverse convex inequality constraints, where some or all of the variables are integer. In particular,  provide a polynomial algorithm that identifies a set of all constraints critical to feasibility (CF), that is constraints that may affect a feasibility status of the system after some perturbation of the right-hand sides. Furthermore,  will investigate properties of the irreducible infeasible sets and infeasibility sets, showing in particular that every irreducible infeasible set as ll as infeasibility sets in the considered system, are subsets of the set CF of constraints critical to feasibility.
['Wiesława T. Obuchowska']
I am writing a research paper on a idea Feasibility in reverse convex mixed-integer programming
[{"from": "human", "value": "I am writing a research paper on a idea Feasibility in reverse convex mixed-integer programming"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   address the problem of the infeasibility of systems defined by reverse convex inequality constraints, where some or all of the variables are integer. In particular,  provide a polynomial algorithm that identifies a set of all constraints critical to feasibility (CF), that is constraints that may affect a feasibility status of the system after some perturbation of the right-hand sides. Furthermore,  will investigate properties of the irreducible infeasible sets and infeasibility sets, showing in particular that every irreducible infeasible set as ll as infeasibility sets in the considered system, are subsets of the set CF of constraints critical to feasibility."}]