Mathematical Analysis of Priority Bi-serial Queue Network Model

One of the most comprehensive theories stochastic models is queueing theory. Through innovative analytical research with broad applicability, advanced theoretical are being developed. In present research, we would like to investigate at a queuing network model low and high priority users different server transition probabilities. The two service channels used in this study, src=image/13428051_02.gif>, connected same server, src=image/13428051_03.gif>. Customers priorities invited by src=image/13428051_04.gif>. objective design that helps minimizing congestion systems. Poisson distribution characterize both arrival patterns. functioning system takes place domain. differential difference equations have been established, consistency behaviour has examined. generating function approach, law calculus, statistical formula assess model's performance. Numerical analyses graphical presentations show outcomes. results displayed graphically through numerical analyses. This can be number real situations, including administration, manufacturing, hospitals, banking systems, etc. such study quite beneficial for understanding redesigning it.