Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  present a new approach to derive joint distributions for stationary Poisson loss systems. In particular, for M/M/m/0 and M/M/1/n  find the Laplace transforms (with respect to time t) of the probability that at time t there are i customers in the system and during [0,t], j customers are refused admissions for M/M/m/0  further determine the LT of the probability that the system was full for less than s time units during [0,t] and serves i customers at time t. Explicit formulas for the corresponding moments are also given.
['Wolfgang Stadje', 'P. R. Parthasarathy']
I am writing a research paper on a idea Generating function analysis of some joint distributions for Poisson loss systems
[{"from": "human", "value": "I am writing a research paper on a idea Generating function analysis of some joint distributions for Poisson loss systems"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  present a new approach to derive joint distributions for stationary Poisson loss systems. In particular, for M/M/m/0 and M/M/1/n  find the Laplace transforms (with respect to time t) of the probability that at time t there are i customers in the system and during [0,t], j customers are refused admissions for M/M/m/0  further determine the LT of the probability that the system was full for less than s time units during [0,t] and serves i customers at time t. Explicit formulas for the corresponding moments are also given."}]