Use Johnson\'s Rule to solve this question. (Gantt Chart) You\'re managing a fur
ID: 353392 • Letter: U
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Use Johnson's Rule to solve this question. (Gantt Chart) You're managing a furniture restoration company and have the following six tasks. Your part of the process includes both sanding and polishIng. (all times in minutes) Task Sanding Polishing A 10 5 B 7 4 C 5 7 D 3 8 E 2 6 F 4 3 a. what is the optimal job sequence for these jobs to be scheduled? b. what is the total length of time of this optimal solution? c. What is the idle time in the binding shop, given the optimal solution and before which stations does the idle time occur? Use Johnson's Rule to solve this question. (Gantt Chart) You're managing a furniture restoration company and have the following six tasks. Your part of the process includes both sanding and polishIng. (all times in minutes) Task Sanding Polishing A 10 5 B 7 4 C 5 7 D 3 8 E 2 6 F 4 3 a. what is the optimal job sequence for these jobs to be scheduled? b. what is the total length of time of this optimal solution? c. What is the idle time in the binding shop, given the optimal solution and before which stations does the idle time occur?Explanation / Answer
Johnson’s Rule is:
From the list of unscheduled jobs, select the one with the shortest processing time in either work center.
If the shortest time is at the first work center, do the job first in the schedule otherwise do the job last in the schedule.
Remove the job assigned in Step 2 from the list of unscheduled jobs.
Repeat steps 1,2 and 3 filling in the schedule from the front and the back until all jobs have been scheduled.
Accordingly sequence of projects as follows :
E-D-F-C-B-A
OPTIMAL JOB SEQUENCE = E-D-F-C-B-A
The calculations as follows :
Sanding : E (2) D ( 5 ) F ( 9) C ( 14) B ( 21) A ( 31)
Polish : E ( 8) D ( 16) F ( 19) C ( 26) B ( 30) A ( 36)
The numbers in parenthesis are the completion time of the relevant project in the relevant job
Thus :
Completion time of sanding operation = 31
Completion time of Polishing operation = 36
TOTAL LENGTH OF TIME OF THIS OPTIMAL SOLUTION = 36
Total duration of all sanding activities = 10 + 7 + 5 + 3 + 2 + 4 = 31 minutes
Total duration of all polishing operations = 5 + 4 + 7 + 8 + 6 + 3 = 33 minutes
Therefore , idle time in Sanding operation = Completion time of sanding operation – Total duration of all sanding activities = 31 – 31 = 0
Idle time In polishing operation = Completion time of Polishing operation – Total duration of all polishing operations = 36 – 33 = 3 minutes
OPTIMAL JOB SEQUENCE = E-D-F-C-B-A
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