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In: Statistics and Probability

Customers arrive at a two-server system at a Poisson rate λ=5. An arrival finding the system...

Customers arrive at a two-server system at a Poisson rate λ=5. An arrival finding the system empty is equally likely to enter service with either server. An arrival finding one customer in the system will enter service with the idle server. An arrival finding two others will wait in line for the first free server. The capacity of the system is 3. All service times are exponential with rate µ=3, and once a customer is served by either server, he departs the system.


a) Define the states and draw the rate diagram.

b) Write down the balance equations

c) Find the expected number of customers in the system.

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orchestra answered 1 year ago
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