Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  introduces a novel scheduling problem, where jobs occupy a triangular shape on the time line. This problem is motivated by scheduling jobs with different criticality levels. A measure is introduced, namely the binary tree ratio. It is shown that the greedy algorithm solves the problem to optimality when the binary tree ratio of the input instance is at most 2.  also show that the problem is unary NP-hard for instances with binary tree ratio strictly larger than 2, and provide a quasi polynomial time approximation scheme (QPTAS). The approximation ratio of Greedy on general instances is shown to be beten 1.5 and 1.05.
['Christoph Dürr', 'Zdeněk Hanzálek', 'Christian Konrad', 'Yasmina Seddik', 'René Sitters', 'Óscar C. Vásquez', 'Gerhard J. Woeginger']
I am writing a research paper on a idea The triangle scheduling problem
[{"from": "human", "value": "I am writing a research paper on a idea The triangle scheduling problem"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  introduces a novel scheduling problem, where jobs occupy a triangular shape on the time line. This problem is motivated by scheduling jobs with different criticality levels. A measure is introduced, namely the binary tree ratio. It is shown that the greedy algorithm solves the problem to optimality when the binary tree ratio of the input instance is at most 2.  also show that the problem is unary NP-hard for instances with binary tree ratio strictly larger than 2, and provide a quasi polynomial time approximation scheme (QPTAS). The approximation ratio of Greedy on general instances is shown to be beten 1.5 and 1.05."}]