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Chapter 2: Q20OQ (page 292)

A small barbershop has a single chair and an area for waiting, where only one person can be in the chair at a time, and no one leaves without getting their hair cut. So the system is rough:

Entrance 鈫�Wait 鈫�Haircut 鈫�Exit

Assume customers arrive at the rate of 10 per hour and stay an average of 0.5 hours. What is the average number of customers in the barbershop?

Short Answer

Expert verified

The average number of customers is5.

Step by step solution

01

 The Little’s  law

Little's Law is a concept that's commonly utilized in measuring the everyday number of things or individuals within the queuing system through the employment of their arrival rate and their average waiting time.

02

Step 2: Determine the barbershop's typical number of customers

The formula is given below:

L=位脳W

Wherein,

The number of things or individuals within the system (L) is calculated by multiplying the common arrival rate(位)and so the time the item or individual is waiting within the system (W).

Given,

W = 0.5 hours

位 = 10 customer per hour.

Hence,

L=位脳W

L = 10 x 0.5

L = 5 customers.

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Most popular questions from this chapter

Question: A customer call center is evaluating customer satisfaction surveys to identify the most prevalent quality problems in their process. Specific customer complaints have been analyzed and grouped into eight different categories. Every instance of a complaint adds to the count in its category. Which six sigma analytical tool would be most helpful to management here?

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The National State Bank is trying to make sure that it has enough tellers to handle the Friday afternoon rush of workers wanting to cash their paychecks. It is only concerned with the last hour of the day from 4:00 to 5:00 p.m. It takes 5 minutes per customer to be processed by the tellers. The average customer arrivals are shown in the table below.

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Some tasks and the order in which they must be performed according to their assembly requirements are shown in the following table. These are to be combined into workstations to create an assembly line. The assembly line operates 7 1鈦�2 hours per day. The output requirement is 1,000 units per day.

Task

Preceding Tasks

Time (Seconds)

Task

Preceding Tasks

Time (Seconds)

A

鈥�

15

G

C

11

B

A

24

H

D

9

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A

6

I

E

14

D

B

12

J

F, G

7

E

B

18

K

H, I

15

F

C

7

L

J, K

10

a. What is the workstation cycle time required to produce 1,000 units per day?

b. Balance the line using the longest task time based on the 1,000-unit forecast, stating which tasks would be done in each workstation.

c. For (b), what is the efficiency of your line balance, assuming it is running at the cycle time from part (a)?

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