HW02_key-Sp10

HW02_key-Sp10 - Key MGMT36100:HW02 Question 1: For the...

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HW02_key Sp10.docx Page 1 MGMT 36100: HW 02 Question 1: For the information shown, answer the following. ( Tiebreaker: The largest task number comes first .). (a) Develop the precedence diagram. Write tasks times next to each task. (b) Determine the target cycle time in seconds and the lower bound on number of stations needed for a desired output of at least 500 units in a 7 hour day. Cycle time should be in integer number of seconds. Cycle time = 7 [hours] * 3600 [sec/hour] / 500 [units / day] = 50.4 Æ 50 sec/unit (will produce 504 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. Use appropriate tables. Effective CT = 48 sec / unit Efficiency = 100 * 145 / (4 * 48) = 75.5% (d) Repeat part (c) using LPT method but with the condition that tasks 4 and 5 cannot be done in the same station (add appropriate tables). Effective CT = 48 sec / unit Efficiency = 100 * 145 / (4 * 48) = 75.5% Task Task time (Seconds) Immediate Predecessor 1 28 2 14 1 3 12 4 8 3 5 13 4 6 9 2 7 27 2 8 14 6 9 10 5, 8 10 10 7, 9 Total 145 Stn. Tasks Cumulative Station time Eligible 1 1, 2 28, 42 1, 3 / 2, 3 / 7, 3, 6 2 7, 3, 6 27, 39, 48 7, 3, 6 / 3, 6 / 6, 4 / 8, 4 3 8, 4, 5, 9 14, 22, 35, 45 8, 4 / 4 / 5 / 9 / 10 4 10 10 10 Tasks Arranged in LPT order Task No 1 7 8 2 5 3 10 9 6 4 Stn. Tasks Cumulative Station time Eligible 1 1, 2 28, 42 1, 3 / 2, 3 / 7, 3, 6 2 7, 3, 6 27, 39, 48 7, 3, 6 / 3, 6 / 6, 4 / 8, 4 3 8, 4 14, 22 8, 4 / 4 / 5 Ineligible 4 5, 9, 10 13, 23, 33 5 / 9 / 10 Tasks Arranged in LPT order Task No 1 7 8 2 5 3 10 9 6 4 Key 28, 112 14, 84 9, 43 27, 37 12, 53 8, 41 13, 33 10, 20 10, 10 1 4, 34 1 2 6 7 8 3 4 5 9 10 4, 5, 8, 9 45 10 10 1, 2 42 3, 7, 6 48 4, 8 22 5, 9, 10 33 1, 2 42 3, 6, 7 48
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This note was uploaded on 12/14/2010 for the course MGMT 361 taught by Professor Panwalker during the Spring '10 term at Purdue.

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HW02_key-Sp10 - Key MGMT36100:HW02 Question 1: For the...

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