Analysis and Simulation of a Two-Stage Blocked Tandem Queueing System

In this paper, a new blocked tandem queueing model is given and analysed. The arrival process to Poisson with parameter λ. There one service unit at the first stage of system, time exponentially distributed $μ_1$ parameter. are two parallel units second stage, these parameters $μ_2$ $μ_3$. No queue allowed system. Upon completing customer proceeds if least available. If both busy, blocks which results in loss. most important measure performance system loss probability $π_{loss}$. First all, state probabilities obtained then using probabilities, steady-state distribution obtained. Transition calculated by finally an equation for $π_{loss}$ terms transition probabilities. Furthermore, another performance, mean number customers, Since Equation very complex, numerical method used calculate minimum After optimal calculations, simulation done, it seen that values tend results.