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In: Statistics and Probability

1.14. A service facility consists of two servers in series (tandem), each with its own FIFO...

1.14. A service facility consists of two servers in series (tandem), each with its own FIFO
queue (see Fig. 1.50). A customer completing service at server 1 proceeds to server 2,
while a customer completing service at server 2 leaves the facility. Assume that the
interarrival times of customers to server 1 are IID exponential random variables with
mean 1 minute. Service times of customers at server 1 are IID exponential random
variables with mean 0.7 minute, and at server 2 are IID exponential random variables
with mean 0.9 minute. Run the simulation for exactly 1000 minutes and estimate for
each server the expected average delay in queue of a customer, the expected time-
average number of customers in queue, and the expected utilization.

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