Concept explainers
A
Interpretation: The order in which the jobs have arrived, the average flow time, tardiness and lateness are to be calculated and compared.
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
Answer to Problem 10PA
After necessary calculations, it can be seen that the average flow time is 25, lateness is 9.5, and tardiness is 11.25.
Explanation of Solution
Under the given order rule:
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;
B
Interpretation: the shortest processing time 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.
The process of
B
Explanation of Solution
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 |
C
Interpretation: The earliest due date 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.
C
Explanation of Solution
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 |
Below is the required comparison of the derived solutions:
Average Flow Time | Average Lateness | Average Tardiness | |
FCFS | 25.00 | 9.50 | 11.25 |
SPT | 20.38 | 4.88 | 5.88 |
EDD | 21.13 | 5.63 | 6.25 |
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