Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The problem of allocating a limited resource to relevant activities in a fair manner on the basis of a certain general objective function has recently been considered by N. Katoh, T. Ibaraki, and H. Mine.  generalize Katoh, Ibaraki, and Mine's problem to the one with a feasible region expressed by a submodular function and give an efficient solution algorithm. The proposed algorithm is of the same complexity as and simpler than Katoh, Ibaraki, and Mine's when specialized to their problem.
['Satoru Fujishige', 'Naoki Katoh', 'Tetsuo Ichimori']
I am writing a research paper on a idea The fair resource allocation problem with submodular constraints
[{"from": "human", "value": "I am writing a research paper on a idea The fair resource allocation problem with submodular constraints"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The problem of allocating a limited resource to relevant activities in a fair manner on the basis of a certain general objective function has recently been considered by N. Katoh, T. Ibaraki, and H. Mine.  generalize Katoh, Ibaraki, and Mine's problem to the one with a feasible region expressed by a submodular function and give an efficient solution algorithm. The proposed algorithm is of the same complexity as and simpler than Katoh, Ibaraki, and Mine's when specialized to their problem."}]