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Do the analysis of the model. Find some measurements including:

 

Title: Mathematics

 

 

Questions:

 

 

1.  Do the analysis of the model. Find some measurements including:

1.1.    Stationary distribution of system length (number of customers in the system)?

1.2.    Stationary distribution of queue length (number of customers in the queue)?

1.3.    Stationary distribution of sojourn time and waiting time?

1.4.    Stationary distribution of busy period?

 

 

2.  Suppose that λ=3, µ=4. Plot the numerical result of the following measurement!

2.1.    Stationary probability of system length to the number of customers

2.2.    Cumulative distribution function of the sojourn time

 

 

 

3.  Using the MATLAB code to construct a dynamic simulation system of the above model


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