Cross Median Approach

Cross Median Approach - Problem 10.2 Customer x-coordinate...

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Cross Median Approach Problem 10.2 Customer x-coordinate y-coordinate Weight 1 4 4 3 2 4 11 2 3 7 2 2 4 11 11 4 5 14 7 1 Median 6 Left to right (increasing x) Right to left (decreasing x) Customer x-coordinate y-coordinate Weight Cumulative weight Customer x-coordinate y-coordinate Weight Cumulative weight 1 4 4 3 3 5 14 7 1 1 2 4 11 2 5 4 11 11 4 5 3 7 2 2 7 3 7 2 2 7 4 11 11 4 1 4 4 3 5 14 7 1 2 4 11 2 Draw vertical line at 7 Draw vertical line at 7 Bottom to top (increasing y) Top to bottom (decreasing y) Customer x-coordinate y-coordinate Weight Cumulative weight Customer x-coordinate y-coordinate Weight Cumulative weight 3 7 2 2 2 4 4 11 2 2 1 4 4 3 5 2 11 11 4 6 5 14 7 1 6 5 14 7 1 2 4 11 2 1 4 4 3 4 11 11 4 3 7 2 2 Draw horizontal line at 7 Draw horizontal line at 11 Total weighted distances From x-coordinate y-coordinate 7 7 Customer Distance Weight 1 6 3 2 7 2 3 5 2 4 8 4 5 7 1 Total weighted distance 81
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2 4 6 8 10 12 14 16 0 2 4 6 8 10 12 1; 4 2; 11 3; 2 4; 11 5; 7 Cross Median Chart y-coordinate x coordinate y coordinate
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Center of Gravity
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Unformatted text preview: Problem 10.2 Customer x-coordinate y-coordinate Weight 1 4 4 3 2 4 11 2 3 7 2 2 4 11 11 4 5 14 7 1 Center of gravity 7.6666666667 7.4166666667 Euclidian Metric Problem 10.2 Using CG as initial solution Initial solution 7.6666666667 7.4166666667 Customer x-coordinate y-coordinate Weight Distance for initial Weight/distance 1 4 4 3 5.0117916513 0.598588331 2 4 11 2 5.1268628051 0.3901021104 3 7 2 2 5.45753811 0.366465604 4 11 11 4 4.89401562 0.817324731 5 14 7 1 6.3470246748 0.1575541378 First iteration 7.6034701692 7.5157065866 2 4 6 8 10 12 14 16 2 4 6 8 10 12 1; 4 2; 11 3; 2 4; 11 5; 7 8; 7.4166666667 CG Chart x coordinate y coordinate CG...
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This note was uploaded on 10/19/2011 for the course TOM 453 taught by Professor Kumar during the Spring '11 term at Cal Poly Pomona.

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Cross Median Approach - Problem 10.2 Customer x-coordinate...

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