Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider a single-item lost sales inventory model with different classes of customers. Each customer class may have different lost sale penalty costs.  assume that the demands follow a Poisson process and  consider a single replenishment hypoexponential server.  give a Markov decision process associated with this optimal control problem and prove some structural properties of its dynamic programming operator. This allows us to show that the optimal policy is a critical level policy.  then discuss some possible extensions to other replenishment distributions and give some numerical results for the hyperexponential server case.
['Aleksander Wieczorek', 'Ana Bu$#353', 'Emmanuel Hyon']
I am writing a research paper on a idea Critical level policies in lost sales inventory systems with different demand classes
[{"from": "human", "value": "I am writing a research paper on a idea Critical level policies in lost sales inventory systems with different demand classes"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider a single-item lost sales inventory model with different classes of customers. Each customer class may have different lost sale penalty costs.  assume that the demands follow a Poisson process and  consider a single replenishment hypoexponential server.  give a Markov decision process associated with this optimal control problem and prove some structural properties of its dynamic programming operator. This allows us to show that the optimal policy is a critical level policy.  then discuss some possible extensions to other replenishment distributions and give some numerical results for the hyperexponential server case."}]