Concept explainers
A
Interpretation: Under the given scenario, the sequence that promises a minimized average lateness is to be derived.
Concept Introduction: The process of planning the ordering of the activities involves based on the elements such as, priority, set up time and such other is referred to as sequencing.
A
Explanation of Solution
Under the given order rule:
Job | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
Job | Processing Time | Flow Time | Due Date | Lateness | Tardiness |
1 | 7 | 7 | 21 | -14 | 0 |
2 | 3 | 10 | 7 | 3 | 3 |
3 | 5 | 15 | 8 | 7 | 7 |
4 | 2 | 17 | 5 | 12 | 12 |
5 | 6 | 23 | 17 | 6 | 6 |
6 | 9 | 32 | 16 | 16 | 16 |
7 | 14 | 46 | 38 | 8 | 8 |
8 | 4 | 50 | 12 | 38 | 38 |
Average | 25.00 | 9.50 | 11.25 |
Average Flow Time will be;
The average lateness will be;
The average tardiness will be;
Under the SPT rule:
Job | 4 | 2 | 8 | 3 | 5 | 1 | 6 | 7 |
Job | Processing Time | Flow Time | Due Date | Lateness | Tardiness |
4 | 2 | 2 | 5 | -3 | 0 |
2 | 3 | 5 | 7 | -2 | 0 |
8 | 4 | 9 | 12 | -3 | 0 |
3 | 5 | 14 | 8 | 6 | 6 |
5 | 6 | 20 | 17 | 3 | 3 |
1 | 7 | 27 | 21 | 6 | 6 |
6 | 9 | 36 | 16 | 20 | 20 |
7 | 14 | 50 | 38 | 12 | 12 |
Average | 20.38 | 4.88 | 5.88 |
Under the EDD rule:
Job | 4 | 2 | 3 | 8 | 6 | 5 | 1 | 7 |
Job | Processing Time | Flow Time | Due Date | Lateness | Tardiness |
4 | 2 | 2 | 5 | -3 | 0 |
2 | 3 | 5 | 7 | -2 | 0 |
3 | 5 | 10 | 8 | 2 | 2 |
8 | 4 | 14 | 12 | 2 | 2 |
6 | 9 | 23 | 16 | 7 | 7 |
5 | 6 | 29 | 17 | 12 | 12 |
1 | 7 | 36 | 21 | 15 | 15 |
7 | 14 | 50 | 38 | 12 | 12 |
Average | 21.13 | 5.63 | 6.25 |
The comparisons will be as follows:
AFT | AL | AT | |
FCFS | 25.00 | 9.50 | 11.25 |
SPT | 20.38 | 4.88 | 5.88 |
EDD | 21.13 | 5.63 | 6.25 |
Upon observing the above derived observations, it can be concluded that the sequence that minimizes the AL is EDD:
4 | 2 | 3 | 8 | 6 | 5 | 1 | 7 |
B
Interpretation: Under the given scenario, the sequence that promises a minimized average tardiness is to be calculated.
Concept Introduction: The process of planning the ordering of the activities involves based on the elements such as, priority, set up time and such other is referred to as sequencing.
B
Explanation of Solution
Upon observing the above derived observations, it can be concluded that the sequence that minimizes the AT is SPT:
4 | 2 | 8 | 3 | 5 | 1 | 6 | 7 |
C
Interpretation: In a generalized manner, the logic is to be placed into a procedure that aids in accomplishing these objects for most of the time.
Concept Introduction: The process of planning the ordering of the activities involves based on the elements such as, priority, set up time and such other is referred to as sequencing.
C
Explanation of Solution
The logic here is so simple. Supposing that the flow time need to be minimized then the SPT need to be implemented. The advantage of the SPT here is that it minimizes the average job flow time and WIP inventory and also thereby maximizes the resource allocation.
On the other hand, the EDD rule minimizes the average tardiness and lateness and in that it does the best job.
Once the data of processing time, the due date of the single machine are accomplished and the tardiness can easily be minimized, the firm does the best.
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