Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  revisit the facial structure of the axial 3-index assignment polytope. After reviewing known classes of facet-defining inequalities,  present a new class of valid inequalities, and show that they define facets of this polytope. This ansrs a question posed by Qi and Sun (2000). Moreover,  show that  can separate these inequalities in polynomial time. Finally,  assess the computational relevance of the new inequalities by performing (limited) computational experiments.
['Trivikram Dokka', 'Frits C. R. Spieksma']
I am writing a research paper on a idea Facets of the axial three-index assignment polytope
[{"from": "human", "value": "I am writing a research paper on a idea Facets of the axial three-index assignment polytope"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  revisit the facial structure of the axial 3-index assignment polytope. After reviewing known classes of facet-defining inequalities,  present a new class of valid inequalities, and show that they define facets of this polytope. This ansrs a question posed by Qi and Sun (2000). Moreover,  show that  can separate these inequalities in polynomial time. Finally,  assess the computational relevance of the new inequalities by performing (limited) computational experiments."}]