# HW3sol - A D C B 30(700 2800 200 60(3300 2800 90(200 =...

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University of Toronto Department of Mechanical and Industrial Engineering MIE468: Facility Planning (Winter 2012) Homework #3 Readings : Chapter 6 from textbook Problem 1: 6.7 <Sol.> We have the following diagrams and charts.

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University of Toronto Department of Mechanical and Industrial Engineering MIE468: Facility Planning (Winter 2012) Problem 3: 6.14 <Sol.> We have the following flow-between chart: Arrangements/Costs A B C D: 30(200 + 200 + 1200) + 60(3300 + 2800) + 90(700) = 477,000 B A C D: 30(200 + 3300 + 1200) + 60(200 + 700) + 90(2800) = 477,000 C B A D: 30(200 + 200 + 700) + 60(3300 + 2800) + 90(1200) = 507,000 D B C A: 30(2800 + 200 + 3300) + 60(1200 + 200) + 90(700) = 336,000 Switch A and D B D C A: 30(2800 + 1200 + 3300) + 60(200 + 700) + 90(200) = 291,000 C B D A: 30(200 + 2800 + 700) + 60(1200 + 200) + 90(3300) = 492,000 A B C D: 30(200 + 200 + 1200) + 60(3300 + 2800) + 90(700) = 477,000 Switch B and D C D B A: 30(1200 + 2800 + 200) + 60(200 + 700) + 90(3300) = 477,000

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Unformatted text preview: A D C B: 30(700 + 2800 + 200) + 60(3300 + 2800) + 90(200) = 495,000 Therefore, final Arrangement B D C A University of Toronto Department of Mechanical and Industrial Engineering MIE468: Facility Planning (Winter 2012) Problem 4: 6.18 <Sol.> We have the following flow-between chart: 1. Determine the departments with largest weight: D & E; weight = 450 2. Select the third department to enter: B; weight = 400 3. Select the next department to enter: C; in Face D-E-B; weight = 750 4. Decide, which face to locate Dept. A Thus, dept. A should be located in Face B-C-D; weight = 850 The adjacent graph and respective block layout can be depicted as follows. University of Toronto Department of Mechanical and Industrial Engineering MIE468: Facility Planning (Winter 2012) Problem 4: 6.24 <Sol.> a. BC, BD, and CD b. 6(1)(2) + 3(3)(1) + 5(1)(1) = 26 units c. The layout obtained by exchanging departments C and D is optimum, since d ij = 1 for all f ij > 0....
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HW3sol - A D C B 30(700 2800 200 60(3300 2800 90(200 =...

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