Business continues to grow at Clean Machine. Melanie has decided to use a second car washing bay,

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Business continues to grow at Clean Machine. Melanie has decided to use a second car washing bay, staffed with another identical two-person team. Clean Machine will now use a single-line, multiserver, single-phase waiting line system. The arrival rate is estimated to average 24 customers per hour according to a Poisson distribution. Each of the car wash teams can service an average of 16 customers per hour according to an exponential distribution. Calculate the following operational characteristics:

(a) Average system utilization
(b) Average number of customers in the system
(c) Average number of customers waiting in line
(d) Average time a customer spends in the system
(e) Average time a customer spends waiting in line
(f) Probability of having more than four customers in the system.

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Operations Management

ISBN: 978-0470325049

4th edition

Authors: R. Dan Reid, Nada R. Sanders

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