Question: Given: poisson process lamda = 40/hour served by 1 server when there are 2 or fewer clients. Service time has exp. distribution with rate (mu)

Given:

poisson process

lamda = 40/hour served by 1 server when there are 2 or fewer clients.

Service time has exp. distribution with rate (mu) = 30/hour.

When >2 clients are in the system, an additional server is used and the service time is halved (15/hour).

System capacity is 4 clients

A) draw state diagram

b) what is the balance equations

c) what is the value of P0, P1, P2, P3, and P4

d) what fraction of time when both servers are not serving any clients

e) E(x) of clients in system

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