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IE383_Assignment3_Sol

IE383_Assignment3_Sol - IE 383 Assignment 3 solution Some...

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IE 383 Assignment 3 solution Some steps are omitted, but you should show your steps in your homework solutions. Note: all questions in this assignment are discrete location decision-making problems Problem 1 Table 1: Possible rooms with their respective coordinates E X Y Expected travel frequency per day Main office 50 10 25 Nurse room 55 45 35 Doctor room 35 45 30 Supplies room 30 25 12 File room 75 25 15 Table 2: “Other rooms” with their respective coordinates E X Y Room 1 50 15 Room 2 55 25 Room 3 65 37 Room 4 57 32 Room 5 24 36 Table 3: Rectilinear distance between “other rooms” and the possible rooms E Room 1 Room 2 Room 3 Room 4 Room 5 Freq Main office 5 20 42 29 52 25 Nurse room 35 20 18 15 40 35 Doctor room 45 40 38 35 20 30 Supplies room 30 25 47 34 17 12 File room 35 20 22 25 62 15 MAX 45 40 47 35 62 E Table 4: Euclidean (straight-line) distance between “other rooms” and the possible rooms E Room 1 Room 2 Room 3 Room 4 Room 5 Freq Main office 5.00 15.81 30.89 23.09 36.77 25 Nurse room 30.41 20.00 12.81 13.15 32.28 35 Doctor room 33.54 28.28 31.05 25.55 14.21 30 Supplies room 22.36 25.00 37.00 27.89 12.53 12 File room 26.93 20.00 15.62 19.31 52.17 15 a)

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