Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The two expected average costs used in the theory of semi-Markov control processes with a Borel state space are considered. Under some stochastic stability conditions,  prove that the two criteria are equivalent in the sense that they lead to the same optimality equation.
['Anna Jaskiewicz']
I am writing a research paper on a idea On the Equivalence of Two Expected Average Cost Criteria for Semi-Markov Control Processes
[{"from": "human", "value": "I am writing a research paper on a idea On the Equivalence of Two Expected Average Cost Criteria for Semi-Markov Control Processes"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The two expected average costs used in the theory of semi-Markov control processes with a Borel state space are considered. Under some stochastic stability conditions,  prove that the two criteria are equivalent in the sense that they lead to the same optimality equation."}]