Assignment3_Solution_S11

Assignment3_Solution - IE 383 Assignment 3 solution Some steps are omitted but you should show your steps in your homework solutions Problem 1 a

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IE 383 Assignment 3 solution Some steps are omitted, but you should show your steps in your homework solutions. Problem 1. a.) This is a minisum problem that utilizes rectilinear distance w/ consideration of travel frequency (weight). We can solve the problem by using median condition method. Sum of W= 131 Sum of W/2 = 65.5 X W Cumulative W 100 35 35 210 24 59 250 15 74 300 19 93 400 38 131 Optimal X coordinate is 250. Y W Cumulative W 150 19 19 180 24 43 200 38 81 300 35 116 400 15 131 Therefore the optimal point is at (250, 200) b.) This is a minisum problem that utilizes straight-line distance w/ consideration of travel frequency (weight). We can solve the problem by using center of gravity method. Total weight=131 X*W Y*W Facility A 3500 10500 Facility B 5040 4320 Facility C 3750 6000 Facility D 5700 2850 Facility E 15200 7600 Sum 33190 31270 X* = Sum(Xi * Wi) / Sum (Wi)= 253.36 Y* = Sum(Yi * Wi) / Sum (Wi)= 238.7 The optimal location is at (253.36, 238.7) c.) This is a minimax per trip problem w/o consideration of travel frequency. Because we are required to solve this problem graphically, we should use diamond method and we can
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This note was uploaded on 04/27/2011 for the course IE 383 taught by Professor Yi during the Spring '11 term at Southwestern.

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Assignment3_Solution - IE 383 Assignment 3 solution Some steps are omitted but you should show your steps in your homework solutions Problem 1 a

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