HW02-F08_Key

HW02-F08_Key - KEY MGMT 460: HW 02 Question 1 (12 points...

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HW02 F08_Key.doc 1 MGMT 460: HW 02 40 Points (Due: Sept. 24, 2008) Do not write only answers, show calculations . Question 1 (12 points total): For the information shown, answer the following. ( Tiebreaker: The largest task number comes first.). (a.) Develop the precedence diagram ( 2 points ) (b.) Determine the target cycle time in seconds and the lower bound on number of stations needed for a desired output of at least 535 units in a 7.5-hour day. Cycle time should be integer . ( 2 points ) Cycle time = 7.5 [hours] * 3600 [sec/hour] / 535 [units / day] = 50.46 Æ 50 sec/unit (will produce 540 units per day). Min. number of stations = 145 / 50 = 2.9 Æ 3 stations (c.) Perform line balancing using the LPT method, calculate effective cycle time, line efficiency and show layout. ( 3 points ) Effective CT = 48 sec / unit Line Efficiency = 100 * 145 / (4 * 48) = 75.5% (d.) Repeat line balancing using the RPW method and calculate line efficiency. Add a table showing task weights in addition to tables similar to those in part (c). ( 5 points ). Task Task time (Seconds) Immediate Predecessor 1 28 - 2 14 1 3 12 - 4 8 3 5 13 4 6 9 2 7 27 6 8 14 5, 6 9 10 8 10 10 7, 9 Total 145 Tasks Arranged in LPT order Task No 1 7 8 2 5 3 10 9 6 4 Stn. Tasks Cum. Station time Eligible 1 1, 2 28, 42 1, 3 / 2, 3 / 3, 6 2 3, 6, 7 12, 21, 48 3, 6 / 6, 4 / 7, 4 / 4 3 4, 5, 8, 9 8, 21, 35, 45 4 / 5 / 8 / 9 / 10 4 10 10 10 Task No 1 2 3 4 5 6 7 8 9 10 Weight 112 84 67 55 47 70 37 34 20 10 Tasks Arranged in RPW order Task No 1 2 6 3 4 5 7 8 9 10 1, 2 42 3, 6, 7 48 4, 5, 8, 9 45 10 10 28 14 9 27 12 8 13 10 10 14 1 2 6 8 7 3 4 5 9 10 KEY
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HW02 F08_Key.doc 2 Effective CT = 42 sec / unit Efficiency = 100 * 145 / (4 * 42) = 86.3% Question 2 (6 points total): Consider the precedence diagram for an assembly operation shown in the figure to the right. (All task times shown below are in seconds) The target CT (Cycle time) is 50 seconds/unit.
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HW02-F08_Key - KEY MGMT 460: HW 02 Question 1 (12 points...

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