Solution_ Homework3_Managing Uncertainty

Solution_ Homework3_Managing Uncertainty - 311 Operations...

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Unformatted text preview: 311 Operations Management Fall 2008 Solution: Homework # 3 Managing Uncertainty 1. (30 points, 6 points each) Chapter 8A Question 7 (page 301 in the textbook). a. M/D/1 system = 10 person/hour, C a = 1 S = 1, = 12 person/hour, C s = 0 = 5/6 = 83% 08 . 2 12 25 2 1 6 / 1 ) 6 / 5 ( 2 1 2 2 2 ) 1 ( 2 = = = + - = + s a S q C C L people b. L s = L q + S = 2.92 people c. W q = L q / = 0.208 hour d. W s = W q + 1/ = 0.292 hour e. = 12 person/hour, L q becomes infinity 2. (20 points, 5 points each) Chapter 8A Question 16 (page 303 in the textbook). a. M/M/1 system = 6 person/hour, = 10 person/hour, L s = / ( ) = 1.5 people W s = L s / = 0.25 hour = 15 minutes b. = / = 6/10 = 60% c. P = 1 / = 40%, P 1 = (1 / ) ( / ) = 24%, P 2 = (1 / ) ( / ) 2 = 14.4%, P (N>2) = 1 ( P + P 1 + P 2 ) = 21.6% d. M/M/2 system Macro gives us L q = 0.0593 W q = L q / = 0.0099 hour W s = W q + 1/ = 0.1099 hour= 0....
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This note was uploaded on 12/10/2008 for the course BUAD 14900 taught by Professor Hiroshiochiumi during the Fall '08 term at USC.

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Solution_ Homework3_Managing Uncertainty - 311 Operations...

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