Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider a storage allocation model with a finite number of storage spaces. There are  primary spaces and  secondary spaces. All of them are numbered and ranked. Customers arrive according to a Poisson process and occupy a space for an exponentially distributed time period, and a new arrival takes the lost ranked available space.  let  and  denote the numbers of occupied primary and secondary spaces and study the joint distribution  in the steady state. The joint process  behaves as a random walk in a lattice rectangle.  study the problem asymptotically as the Poisson arrival rate  becomes large, and the storage capacities  and  are scaled to be commensurably large.  use a singular perturbation analysis to approximate the forward Kolmogorov equation(s) satisfied by the joint distribution.
['Eunju Sohn', 'Charles Knessl']
I am writing a research paper on a idea Asymptotic Analysis of a Storage Allocation Model with Finite Capacity: Joint Distribution
[{"from": "human", "value": "I am writing a research paper on a idea Asymptotic Analysis of a Storage Allocation Model with Finite Capacity: Joint Distribution"}, {"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 storage allocation model with a finite number of storage spaces. There are  primary spaces and  secondary spaces. All of them are numbered and ranked. Customers arrive according to a Poisson process and occupy a space for an exponentially distributed time period, and a new arrival takes the lost ranked available space.  let  and  denote the numbers of occupied primary and secondary spaces and study the joint distribution  in the steady state. The joint process  behaves as a random walk in a lattice rectangle.  study the problem asymptotically as the Poisson arrival rate  becomes large, and the storage capacities  and  are scaled to be commensurably large.  use a singular perturbation analysis to approximate the forward Kolmogorov equation(s) satisfied by the joint distribution."}]