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Q14OQ (a)

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Operations And Supply Chain Management
Found in: Page 255
Operations And Supply Chain Management

Operations And Supply Chain Management

Book edition 14th
Author(s) F. Robert Jacobs
Pages 800 pages
ISBN 9780078024023

Short Answer

Benny the Barber owns a one-chair shop. At Barber College, they told Benny that his customers would exhibit a Poisson arrival distribution and that he would provide an exponential service distribution. His market survey data indicate that customers arrive at a rate of two per hour. It will take Benny an average of 20 minutes to give a haircut. Based on these figures, find the following:

a. The average number of customers waiting.

Assume customer arrival to be Poisson distributed and service to be exponentially distributed.

See the step by step solution

Step by Step Solution

Customer time

Client Number implies the system-generated, or another recognizing number, allotted by the division to each individual conducting commerce with the division . The client number of a private person is for the most part the person’s driver's permit or non-operating recognizable proof permit number.

The average number of customers waiting

Arrival rate, = 2 per hour

Service rate, µ = 1 in 20 min = 3 per hour

The average number of customers waiting

Here,

Substitute the above values in the equation

(1) Proceed as follows: Average number of customers waiting,

= 1.333 customers

Hence, the average number of customers waiting 1.333.

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