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Five jobs are waiting for processing through two work centers. Their processing time​ (in minutes) at each work center is contained in the table below. Each job requires work center Sigma before work center Delta. According to​ Johnson's rule, what sequence of jobs will minimize the completion time for all​ jobs?   Job Sigma Delta R 20 10 S 25 30 T 30 20 U 35 35 V 15 25 Part 2   A. V−S−U−T−R   B. V−R−U−S−T   C. R−V−T−S−U   D. S−U−T−V−R   E. R−S−T−U−V

Five jobs are waiting for processing through two work centers. Their processing time​ (in minutes) at each work center is contained in the table below. Each job requires work center Sigma before work center Delta. According to​ Johnson's rule, what sequence of jobs will minimize the completion time for all​ jobs?   Job Sigma Delta R 20 10 S 25 30 T 30 20 U 35 35 V 15 25 Part 2   A. V−S−U−T−R   B. V−R−U−S−T   C. R−V−T−S−U   D. S−U−T−V−R   E. R−S−T−U−V

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Five jobs are waiting for processing through two work centers. Their processing time​ (in minutes) at each work center is contained in the table below. Each job requires work center Sigma before work center Delta. According to​ Johnson's rule, what sequence of jobs will minimize the completion time for all​ jobs?
 
Job
Sigma
Delta
R
20
10
S
25
30
T
30
20
U
35
35
V
15
25
Part 2
 
A.
V−S−U−T−R
 
B.
V−R−U−S−T
 
C.
R−V−T−S−U
 
D.
S−U−T−V−R
 
E.
R−S−T−U−V

 

**Job Sequencing Using Johnson's Rule** Five jobs are waiting for processing through two work centers. Their processing time (in minutes) at each work center is contained in the table below. Each job requires work center Sigma before work center Delta. According to Johnson's rule, what sequence of jobs will minimize the completion time for all jobs? | Job | Sigma (minutes) | Delta (minutes) | |-----|-----------------|-----------------| | R | 20 | 10 | | S | 25 | 30 | | T | 30 | 20 | | U | 35 | 35 | | V | 15 | 25 | ### Job Sequence Options (Choose the correct sequence): A. V – S – U – T – R B. V – R – U – S – T C. R – V – T – S – U D. S – U – T – V – R E. R – S – T – U – V According to Johnson's rule, the goal is to find the sequence of jobs that minimizes the total completion time when each job must be processed through a series of two work centers (Sigma first, then Delta). In applying Johnson's rule, identify the job with the shortest processing time for each step, and then schedule jobs accordingly to minimize the overall processing time. ### Explanation of Options: 1. **Option A: V – S – U – T – R** - Job V positioned first due to the shortest Sigma processing time. - Followed by S, U, T, and R. 2. **Option B: V – R – U – S – T** - V first due to shortest Sigma time. - Followed by R, U, S, and T. 3. **Option C: R – V – T – S – U** - R first due to shortest total processing time consideration. - Followed by V, T, S, and U. 4. **Option D: S – U – T – V – R** - S first due to balanced processing times - Followed by U, T, V, and R. 5. **Option E: R – S – T – U – V** - R first due to shortest Delta time. - Followed by S, T, U, and V
Transcribed Image Text:**Job Sequencing Using Johnson's Rule** Five jobs are waiting for processing through two work centers. Their processing time (in minutes) at each work center is contained in the table below. Each job requires work center Sigma before work center Delta. According to Johnson's rule, what sequence of jobs will minimize the completion time for all jobs? | Job | Sigma (minutes) | Delta (minutes) | |-----|-----------------|-----------------| | R | 20 | 10 | | S | 25 | 30 | | T | 30 | 20 | | U | 35 | 35 | | V | 15 | 25 | ### Job Sequence Options (Choose the correct sequence): A. V – S – U – T – R B. V – R – U – S – T C. R – V – T – S – U D. S – U – T – V – R E. R – S – T – U – V According to Johnson's rule, the goal is to find the sequence of jobs that minimizes the total completion time when each job must be processed through a series of two work centers (Sigma first, then Delta). In applying Johnson's rule, identify the job with the shortest processing time for each step, and then schedule jobs accordingly to minimize the overall processing time. ### Explanation of Options: 1. **Option A: V – S – U – T – R** - Job V positioned first due to the shortest Sigma processing time. - Followed by S, U, T, and R. 2. **Option B: V – R – U – S – T** - V first due to shortest Sigma time. - Followed by R, U, S, and T. 3. **Option C: R – V – T – S – U** - R first due to shortest total processing time consideration. - Followed by V, T, S, and U. 4. **Option D: S – U – T – V – R** - S first due to balanced processing times - Followed by U, T, V, and R. 5. **Option E: R – S – T – U – V** - R first due to shortest Delta time. - Followed by S, T, U, and V
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