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Chapter 2: Q17OQ-c (page 255)

An office employs several clerks who create documents and one operator who enters the document information in a computer system. The group creates documents at a rate of 25 per hour. The operator can enter the information with an average exponentially distributed time of two minutes. Assume the population is infinite, arrivals are Poisson, and queue length is infinite with FCFS discipline.

c. Calculate the average time in the system.

Short Answer

Expert verified

Including the average waiting time of a customer in a queue and thetotal time customer has to spend in the system. It would help make your lines move faster to provide better customer service.

Step by step solution

01

Step-by-Step SolutionStep 1: average total time spent by documents in the system with the help of the given formula:

Average total time spent by a document in the system

(Ws) = Lsλ

Here,Ls = 5 andλ = 25

02

The average time in the system

Substitute the above values in the equation to obtain the following result:

Ws = 525= 0.2 hour or 12 min

Hence, the average total time spent by a document in the system is12 min.

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