Assignment: Operations and Quality Management
1. You go to the library to study for the OM exam. You will do as many problems as you can in 4 hours of studying, taking no breaks and having no interruptions. You timed the first problem you did and found it took 20 minutes. You decide that there is a 90% learning rate here that will continue with the remaining problems. Assume that if there were no learning effect, each problem would take the same amount of time.
a. How much time will it take to do the third problem?
b. Approximately how many problems will you be able to complete in the 4 hours? Assume the learning effect will continue, and you take no breaks. You must show your work for full credit.
c. At the conclusion of the 4 hour study session, you see a friend that has also been studying for the exam. Your friend has completed 35 problems in the same 4 hours, with the first problem taking 20 minutes. What was your friend's approximate learning percentage? You must show your work for full credit.
2. Give an example from our own life that illustrates the concept of the learning curve. Please do not use the example of studying for or taking this or any other education course. Present the situation, discuss why you believe it illustrates a learning effect, and discuss how this illustrates the key concepts of learning curves.
3. Draw the project network diagram represented by the following situation. You may draw either an AoA or and AoN.
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Activity
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Immediate Predecessor(s)
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A
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-
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B
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-
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C
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A
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D
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B
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E
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B
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F
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C, E, D
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G
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D, E
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H
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F, G
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I
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G
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J
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E, I
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4. For the following project network, the times for each activity are listed in the table below. There should be circles and arrows connecting some of the circles, in the diagram below. If these are not visible or did not print, please request assistance.
The following diagram is an AON (Activity on Node). The AOA (Activity on Arrow) equivalent of this is on the next page. Continue to the next page to find the critical path method table to fill in. You can use either type of diagram, whichever you feel more comfortable using.
AON:
a. Fill in the table with the correct ES, EF, LS, LF, and slack.
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Activity
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Time
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ES
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EF
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LS
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LF
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Slack
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A
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9
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B
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6
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C
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5
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D
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4
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E
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8
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F
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7
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G
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8
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H
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5
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I
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13
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J
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4
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K
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15
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L
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5
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M
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10
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N
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4
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O
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10
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P
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3
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b. Calculate the critical path.
c. Calculate the time to complete the project.
5. Rush Franken receives about 60,000 calls in a 3 hour period into his phone lines for his radio show, but he is only able to accept 15 per hour to go on the air. Discuss whether this would or would not fit into one of the 3 waiting line models discussed in the text. Why or why not?
6. A local radio call-in show has about 25 calls arrive each hour, and the radio host spends about 1.5 minutes per caller, exponentially distributed. Assume no commercials and callers are immediately taken on the air if there is one waiting; all other appropriate assumptions also hold. Also assume that there is an infinite line possible, that is, callers will not get a busy signal but will always be put into a line to go on the air.
a. What is the average number of callers waiting to go on the air?
b. What is the average time to wait before going on the air?
c. What is the utilization?
7. An airline ticket counter has one line feeding into 2 ticket agents. The airline is considering adding a third agent. Arrivals are spaced at an average of 3.333 minutes, Poisson distribution. An agent spends about 5 minutes per customer, exponentially distributed. All other appropriate assumptions hold.
a. What is the average number in line waiting for service?
b. What is the average wait time in line waiting for service?
c. If a third agent is added, what is the average number in line waiting for service?
d. If a third agent is added, what is the average wait time in line waiting for service?
Format your assignment according to the following formatting requirements:
1. The answer should be typed, double spaced, using Times New Roman font (size 12), with one-inch margins on all sides.
2. The response also include a cover page containing the title of the assignment, the student's name, the course title, and the date. The cover page is not included in the required page length.
3. Also Include a reference page. The Citations and references should follow APA format. The reference page is not included in the required page length.