The operations manager of a body and paint shop has five cars to schedule for repair. He would like to minimize the throughput time (makespan) to complete all work on these cars. Each car requires body work prior to painting

The estimates of the times required to do the body and paint work on each are as follows:

Car Body Work (Hours) Paint (Hours)
A 8 7
B 9 4
C 7 9
D 3 4
E 12 5

(a) Use Johnson's rule to sequence these five jobs for minimum total duration. Show your work in
determining the job sequence.
(b) The optimal sequence is ________.
(c) Chart the progress of the five jobs in this optimal sequence.
(d) After how many hours will all jobs be completed?
Fill in the blanks with correct word


(a), (b) The sequence of jobs is Car D, Car C, Car A, Car E, Car B. See the POM for Windows solution below.

Johnson's method sequence of steps

(c), (d)

All jobs completed after 43 hours.

Business

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