E2/M/1 Queue model ANALYSIS

Need a freelancer, expertin queueing theory, not looking for somebody who wants to try if it works or something, need support doing the following tasks of an E2/M/1... shouldn't take more than one hour to do it. 1. Parameters average arrival rate is , average service rate is , and < 2. Questions (1) Do the analysis of the model! Find the some measurements including : (i) stationary distribution of system length (number of customers in the system) ? (ii) stationary distribution of queue length (number of customers in the queue) ? (iii) stationary distribution of sojourn time and waiting time? (iv) stationary distribution of busy period? (2) Suppose that =3, =4. Plot the numerical result of the following measurement! (i) stationary probability of system length to the number of customers (ii) cumulative distribution function of the sojourn time (3) Using the matlab code to construct a dynamic simulation system of the above model