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Question
Solve the following problem of sequencing for minimizing the total elapsed time and idle time for both the machines.
| Job | P | Q | R | S | T | U |
| M1 | 1 | 4 | 6 | 3 | 5 | 2 |
| M2 | 3 | 6 | 8 | 8 | 1 | 5 |
The optimal sequence of the jobs as follows:
Total elasped time is obtained as follows:
| Job sequence |
Machine A | Machine B | Idle time for Machine B |
||
| Time In |
Time Out |
Time In |
Time Out |
||
| P | `square` | 1 | 1 | `square` | `square` |
| U | `square` | 3 | 4 | `square` | `square` |
| S | `square` | 6 | 9 | `square` | `square` |
| Q | `square` | 10 | 17 | `square` | `square` |
| R | `square` | 16 | 23 | `square` | `square` |
| T | `square` | 21 | 31 | `square` | `square` |
Total elapsed time T = `square` minutes
Idle time for Machine A = T – `square` = `square` minutes
Idle time for Machine B = `square`
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Solution
| Job | P | Q | R | S | T | U |
| M1 | 1 | 4 | 6 | 3 | 5 | 2 |
| M2 | 3 | 6 | 8 | 8 | 1 | 5 |
The optimal sequence of the jobs as follows:
| P | U | S | Q | R | T |
Total elapsed time is obtained as follows:
| Job sequence |
Machine A | Machine B | Idle time for Machine B |
||
| Time In |
Time Out |
Time In |
Time Out |
||
| P | 0 | 1 | 1 | 4 | 1 |
| U | 1 | 3 | 4 | 9 | 0 |
| S | 3 | 6 | 9 | 17 | 0 |
| Q | 6 | 10 | 17 | 23 | 0 |
| R | 10 | 16 | 23 | 31 | 0 |
| T | 16 | 21 | 31 | 32 | 0 |
Total elapsed time T = 32 minutes
Idle time for Machine A = T – 21 = 11 minutes
Idle time for Machine B = 1
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RELATED QUESTIONS
The time interval between starting the first job and completing the last job including the idle time (if any) in a particular order by the given set of machines is called _______.
Fill in the blank :
In a sequencing problem, all machines are of _______ types.
Choose the correct alternative:
The objective of sequencing problem is ______
In sequencing problems one has to ______ the total processing time or cost
In sequencing problem the time which required to complete all the jobs i.e. entire task is called ______
In sequencing problem one has to determine the ______ in which jobs has to processed through the machines
State whether the following statement is True or False:
In sequencing problem the processing times are dependent of order of processing the jobs on machine
