Fluid Model Driven By The M/M/1 Queue With Optional Service

In the current rapid development of information era, network communication transmissions in our daily life occupy a certain position. In fluid model, the buffer of the inflows and outflows are controlled by the external environment with stochastic continuous flow rate of change, the buffer capacity is continuously changing. So in terms of data communication transmission, flow model of the actual problem modeling can be used to avoid “state space explosion” problem, has more important practical significance.This article assumes that the external drive system is with an optional service mode of the environment, by studying a kind of service model with second optional service M/M/1 queue system driven flow model, establishing what percentage of the net structure, each performance index analysis system, and get the actual meaning of parameter variables. Main content is as follows:First, study a service optional classical queuing system driven flow model and using quasi birth and death process determine the infinitesimal generator, flow model of equilibrium condition is given, determine the steady state flow model the joint distribution function satisfy the infinite dimensional differential equations, deduced a smooth inventory of Laplace-stieltjes Transform(LST) and the expressions of the mean, feasibility and the practicability of the application of numerical analysis to discuss the conclusion.Second, based on the optional service multiple vacation M/M/1 queue system driven flow model, set up the percentage of the net structure, define the basic equations and their solutions, use of the method of Laplace Transform(LT) stocks stationary distribution of LST and the average stocks are given, with the help of MATLAB simulation software analysis performance index with the change of parameters of the model.Last, What will be the subject study model is compared with classical model, and discussed the influence of different parameters on the model performance index.