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(Solved) 2. Which of the following cannot be determined from a single-server queuing model?


2. Which of the following cannot be determined from a single-server queuing model?

a) Average time spent waiting in the system

b) Average number of customers waiting in line

c) Customer population characteristics

d) Probability that exactly “n” customers will be in the system

e) Expected utilization of the server


4. In making a forward pass through a network, three activities are immediate predecessors for activity T. What is the early start time for activity T?

a) the smallest ES for the three activities that are immediate predecessors for activity T

b) the largest ES for the three activities that are immediate predecessors for activity T

c) the smallest EF for the three activities that are immediate predecessors for activity T

d) the largest EF for the three activities that are immediate predecessors for activity T

e) the activity time for activity T



5. Which term refers to inaccurate or distorted demand information created in the supply chain?

a) Battle axe effect

b) Cobra effect

c) Bullwhip effect

d) Lasso effect

e) Whirlpool effect


6. Given this information about an activity: ES = 10, EF = 15, LS = 24, and LF = 29. The amount of slack associated with the activity is _____________________.

a)       5

b)      10

c)       14

d)      25

e)      34


7. In a Lean operation, describe the purpose of the 5S tool, and then list and describe two types of waste that could be eliminated by applying the 5S tool. (2 points: purpose 1.0; wastes 1.0)


8. What is the purpose of a project network diagram? List and describe three different kinds of outputs that could be obtained from such a model. (2 points: purpose 1.0; outputs with descriptions 1.0)


9. List and describe three different supply chain strategies. (2 points: item with description 0.67 pts each)


10. In reference to the Theory of Constraints, why should you offload work or expand the capability of the constraint? What effect would this have on the overall production system?    (2 points: why offload 1.0; effect on system 1.0)



11) A crew of mechanics at the Highway Department garage repair vehicles that break down at an average of 8.1 vehicles per day (randomly). The mechanic crew can service an average of 15 vehicles per day with a repair time distribution that approximates an exponential distribution. (5 points)


Remembering



a. What is the utilization rate for this service system? (2.5 pts)






b. What is the average time before the facility can return a breakdown to service? (1.0 pts)






c. How much of that time is spent waiting for service to begin? (1.0 pts)






d. If the number of vehicles in the system were measured at 100 random points in time, what would be the expected average of these observations? (0.5 pts)




12) Answer the questions below with regard to the following table. (5 points)


ACTIVITY

Immediate predecessor

duration

Crash cost/week

Minimium task duration

A

--

6

N/A

6

B

A

22

$5000

20

C

A

5

N/A

5

D

C

2

$7000

1

E

C

6

$6000

3

F

D, E

6

$3000

5

G

F

1

N/A

1


(a) draw the project network and list the earliest start (ES), earliest finish (EF), latest start (LS) and latest finish (LF) for each task (2.5 pt.)











(b) List the tasks on the critical path (0.5 pts.)




(c) What is the expected project duration in weeks? (0.5 pts.)




(d) What is the slack for each activity? (0.5 pts.)

 



(e) Prior to the start of the project you realize the duration you calculated in (c) won’t satisfy the client, so you must “crash” it by 2 weeks. What is the best choice of activities to crash and the resulting total crash cost? (1.0 pts)





Extra Credit Question, Analytical (1 point)


13) You arrive at a movie theater only to notice that there’s only one person selling tickets. You watch for some time and realize that on average about 20% of the time there is no one in the line or being served. People are clearly arriving randomly, but on average every 30 seconds. 


Remembering



a. The utilization of the server is                        % (0.4 pts) 







b. The average service time is _________ hours (0.3 pts)






c. The average wait time in the queue is __________ hours (0.3 pts)

 


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