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IE383_Midterm1_S09_Final_Sol

# IE383_Midterm1_S09_Final_Sol - 11 11 IE 383(Spring 2009...

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11 – 11 IE 383 (Spring 2009) Test #1 Login name:__________________________ =============================================================== 1. (10 points) The owner of CAF Inc. finally decided to move the facility to Bloomington. There are three major contractors in the area that would be able to build the new facility. According to historical data, the construction cost under different economic condition is shown in the table below. Use the Hurwicz Method ( α = 0.3) to determine which contractor should be selected. Good Condition Median Condition Poor Condition Contractor A \$30 million \$27 million \$15 million Contractor B \$22 million \$20 million \$18 million Contractor C \$25 million \$20 million \$15 million Answer: Optimist ic Pessimist ic Good Median Poor Min Max Contractor A 30 27 15 15 30 Contractor B 22 20 18 18 22 Contractor C 25 20 15 15 25 0.3 0.7 Sum Contractor A 4.5 21 25.5 Contractor B 5.4 15.4 20.8 Contractor C 4.5 17.5 22

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11 – 11 IE 383 (Spring 2009) Test #1 Login name:__________________________ =============================================================== 2. (20 points) CAF Inc. just bought four new computers (1,2,3,4) last week. The computers are to be installed at four sites (A,B,C,D). Given the distance and flow matrices, find the lower bound and the assignment to minimize the total traveling distance. Is your assignment optimal? 1 2 3 4 1 - 4 3 6 2 4 - 8 5 3 3 8 - 2 4 6 5 2 - A B C D A 0 6 4 7 B 6 0 9 4 C 4 9 0 8 D 7 4 8 0 Answer: You just need to consider half of the flow and distance matriices, because they are symmetric. Flow 8 6 5 4 3 2 Dist 4 4 6 7 8 9 F*D 32 24 30 28 24 18 Lower bound= * = Fi Di 156 2 A or 2 B 3 C 3 D 1 B or 1 A 4 D 4 C 2 A 4 B
11 – 11 IE 383 (Spring 2009) Test #1

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IE383_Midterm1_S09_Final_Sol - 11 11 IE 383(Spring 2009...

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