Simulation And Fluid Model Heavy Traffic Limits Of Markov Queuing Network

In this paper,we consider Markov queuing network system which has a transfer rate and achieve some relevant simulation of the most simple service desk series through the computer.We also study the fluid model and obtain the heavy traffic limit.Firstly,we introduce the quantitative index and some important theorems that this paper will use,such as,the strong large theorem, central limit theorem,Donsker theorem,etc.Then we introduce the general Markov queuing network method and direction.Secondly,under the steady condition,we study the two nodes series Markov queuing network,list the local equilibrium equation.Then we design some effective algorithms and optimize the algorithm.So we achieve the simulation of two service desk series under the stable condition,namely,? ??.We also draw some graphics and contrast the graphics.Thirdly,under the heavy traffic condition,we study the heavy traffic limits of Markov queuing network fluid model and Markov queuing network with switching model in general method.We also obtain the fluid limit of this process.We use the special method that we often use,under the heavy traffic condition, study the Markov queuing network with switching and use the special convergence to obtain the convergence what we want to get.This would explain our effective results of heavy traffic queuing network.Finally,under the heavy traffic condition,we obtain the simulation of the most simple Markov queuing network.Here, we also use the above algorithm,under the heavy traffic condition,use the matlab software to obtain the simulation of 2,3,4,5,6 service desk series queuing network respectively.Then we draw some graphics and contrast the graphics.