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## (4) (a) Write a computer program that simulates an M/Ek/1 queue. Here, Ek is an Erlang random variable with k phases. (b) Based on this program, plot…

Best Writers Math (4) (a) Write a computer program that simulates an M/Ek/1 queue. Here, Ek is an Erlang random variable with k phases. (b) Based on this program, plot…

# (4) (a) Write a computer program that simulates an M/Ek/1 queue. Here, Ek is an Erlang random variable with k phases. (b) Based on this program, plot…

Question
(4) (a) Write a computer program that simulates an M/Ek/1 queue. Here, Ek is an Erlang random variable with k phases. (b) Based on this program, plot Pn against n when k = 4, λ = 5 and μ = 6. Also, find the expected number in the system. How do these results compare with your M/M/1 results in (3)? (c) Plot the expected number in the system for different values of the utilization when k = 40. Also plot the expected number in the system in an M/D/1 queue from the analysis in class and compare the results with your simulation. What does this tell you and why?
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