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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 the 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:

b. The average time a customer waits.

Short Answer

Expert verified

Clienthold-up time alludes to the entire passed time between issuance of a custom arrangement and satisfaction of that arrangement too called customer waiting time...

Step by step solution

01

Average time

Normal hold-up time could be taken a toll book-keeping term that alludes to the sum of time a work is sitting perfectly some time recently arranged is handled or the machine is setup. Hold-up time influences both the client and the producer.

02

the average time a customer waits

Little’s law:

Tq=Iqλ=1.3customersperhour2customersperhour=.667hours=40min

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Most popular questions from this chapter

The desired daily output for an assembly line is 360 units. This assembly line will operate for 450 minutes per day. The following table contains information on this product’s task times and precedence relationships:

TASK

Task Time (Seconds)

Immediate Predecessor

A

30

-

B

35

A

C

30

A

D

35

B

E

15

C

F

65

C

G

40

E, F

h

25

D, G

a. Draw the precedence diagram.

b. What is the workstation cycle time required to produce 360 units per day?

c. Balance this line using the largest number of following tasks. Use the longest task time as a secondary criterion.

d. What is the efficiency of your line balance, assuming it is running at the cycle time from part (b)?

A graphics reproduction firm has four automatic equipment units but occasionally becomes inoperative because of the need for supplies, maintenance, or repair. Each Unit requires service roughly twice each hour, or, more precisely, each Unit of equipment runs an average of 30 minutes before needing service. Service times vary widely, ranging from a simple service (such as pressing a restart switch or repositioning paper) to more detailed equipment disassembly. The average service time, however, is minutes. Equipment downtime results in a loss of \(20 per hour. The one equipment attendant is Paid \)6 per hour.

Using finite queuing analysis, answer the following questions:

B. What is the average number of units still in operation?

Question:Resistors for electronic circuits are manufactured on a high-speed automated machine. The machine is set up to produce a large run of resistors of 1,000 ohms each. To set up the machine and to create a control chart to be used throughout the run, 15 samples were taken with four resistors in each sample. The complete list of samples and their measured values are as follows:

Sample number
Readings

1

1010

991

985

986

2

995

996

1009

994

3

990

1003

1015

1008

4

1015

1020

1009

998

5

1013

1019

1005

993

6

994

1001

994

1005

7

989

992

982

1020

8

1001

986

996

996

9

1006

989

1005

1007

10

992

1007

1006

979

11

996

1006

997

989

12

1019

996

991

1011

13

981

991

989

1003

14

999

993

988

984

15

1013

1002

1005

992

Develop an x-chart and an R-chart and plot the values. From the charts, what comments can you make about the process? (Use three-sigma control limits as in Exhibit 13.7.)

In an agreement between a supplier and a customer, the supplier must ensure that all parts are within specification before shipment to the customer. What is the effect on the cost of quality to the customer?

What is the effect of waiting time on a manufacturing process? Why is it good to reduce waiting time? Can it be eliminated altogether?

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