The trim line at PW is a small subassembly line that, along with other such lines, feeds into the final chassis line. The entire assembly line, which consists of more than 900 workstations, is to make PW’s new E cars. The trim line itself involves only 13 work elements and must handle 20 cars per hour. Work-element data are as follows Work Element    Time (Sec)     Immediate Predecessor(s)        A                      2.4                          None        B                      0.5                          None        C                       2.1                         None         D                     1.8                             C         E                      1.1                             B         F                      0.9                             A         G                      2                               A         H                     0.7                              F          I                      0.7                             D          J                       1.8                           H, E          K                        1.3                           J          L                       1.9                             G          M                      1.1                          L, I, K  a. Draw a precedence diagram. b. What cycle time (in minutes) results in the desired output rate? c. What is the theoretical minimum number of stations? d. Use the longest work element decision rule to balance the line and calculate the efficiency of your solution. e. Use the most followers work element decision rule to balance the line and calculate the efficiency of your solution. please answer a, b, c, d, e

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 111P
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The trim line at PW is a small subassembly line that, along with other such lines, feeds into the final chassis line. The entire assembly line, which consists of more than 900 workstations, is to make PW’s new E cars. The trim line itself involves only 13 work elements and must handle 20 cars per hour. Work-element data are as follows

Work Element    Time (Sec)     Immediate Predecessor(s)

       A                      2.4                          None

       B                      0.5                          None

       C                       2.1                         None

        D                     1.8                             C

        E                      1.1                             B

        F                      0.9                             A

        G                      2                               A

        H                     0.7                              F

         I                      0.7                             D

         J                       1.8                           H, E

         K                        1.3                           J

         L                       1.9                             G

         M                      1.1                          L, I, K

 a. Draw a precedence diagram.

b. What cycle time (in minutes) results in the desired output rate?

c. What is the theoretical minimum number of stations?

d. Use the longest work element decision rule to balance the line and calculate the efficiency of your solution.

e. Use the most followers work element decision rule to balance the line and calculate the efficiency of your solution.

please answer a, b, c, d, e

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