Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study the polyhedron of the single node capacitated network design model with integer variable upper bounds.  first give a characterization of valid inequalities that is useful in proving the validity of several classes of inequalities. Next  derive several classes of valid inequalities and  give conditions for them to be facet-defining. Sequence independent lifting is used to obtain additional facets.  conclude by reporting computational results with a branch-and-cut algorithm.
['Diego Klabjan', 'George L. Nemhauser']
I am writing a research paper on a idea A Polyhedral Study of Integer Variable Upper Bounds
[{"from": "human", "value": "I am writing a research paper on a idea A Polyhedral Study of Integer Variable Upper Bounds"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study the polyhedron of the single node capacitated network design model with integer variable upper bounds.  first give a characterization of valid inequalities that is useful in proving the validity of several classes of inequalities. Next  derive several classes of valid inequalities and  give conditions for them to be facet-defining. Sequence independent lifting is used to obtain additional facets.  conclude by reporting computational results with a branch-and-cut algorithm."}]