| In this paper, we mainly study shooting effectiveness of M/Fr/ra/m queuing system with vanishing mechanism and GI/FT/m queuing system with waiting mechanism, using relevant knowledge of queuing theory and stochastic operation research. Under the hypothesis of model I, we give some indicators including the distribution law πk of queue length under steady state, the average number E of working antiaircraft, sudden attack probability πm of enemy airplanes, the length of busy period, etc. By further analyzing batch arrival system (M2/FT/m/m system), we also give steady-state equations of batch arrival system and instance analysis of M2 /FT/5/5 system. Under the hypothesis of model II, some probable characteristics such as transition probability, stationary distribution, staying time distribution are discussed (To date , we have not seen the application of the two models in shooting effectiveness being discussed in Any public references) . |
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