Concept explainers
(a)
Interpretation:
The best sequence in terms of the average flow time:
Concept Introduction:
(a)
Explanation of Solution
Given information:
The table below contains the information about five jobs waiting to be processed at stamping machine
Job | Processing Time (hrs) | Due (hrs) |
Schedule the jobs based on the earliest due date
Hours | |||||||||||||||
Job |
Thus, calculate the average flow time that is required to finish the each job:
Now, calculating the average tardiness, it is given that job
The job
The job
The job
The job
Adding the delay time of the order and divide it by the number of the orders;
From the table, it is observed that job
Calculate the critical ratio by dividing the hours until due by the processing time for the each job.
Job | Processing Time (hrs) | Due (hrs) | Critical ratio |
Now, schedule the based on the ascending order of the critical ratios.
Hours | |||||||||||||||
Job |
Calculate the average flow time by adding the delay time of the order and divide it by the number of the orders;
Calculate the tardiness for the each job,
that job
The job
The job
The job
The job
Adding the tardiness of the order and divide it by the number of the orders;
From the table, it is observed that the job
Schedule the jobs based on the
Hours | |||||||||||||||
Job |
Thus, calculate the average flow time that is required to finish the each job:
Now, calculating the average tardiness, it is given that job
The job
The job
The job
Now, calculate the average tardiness,
Thus, the job
From the above calculation, the average flow time based on methods:
Therefore, shortest processing time gives the lowest average flow time.
(b)
Interpretation:
The best sequence in terms of the average tardiness:
Concept Introduction:
Schedule the job on the basis of the
Schedule the job on the basis of the
(b)
Explanation of Solution
Given information:
The table below contains the information about five jobs waiting to be processed at stamping machine
Job | Processing Time (hrs) | Due (hrs) |
From the above calculation, the average tardiness based on the different methods,
Therefore, shortest processing time gives the lowest average tardiness.
(c)
Interpretation:
The finish time of job
Concept Introduction:
Schedule the job on the basis of the
Schedule the job on the basis of the
(c)
Explanation of Solution
Given information:
The table below contains the information about five jobs waiting to be processed at stamping machine
Job | Processing Time (hrs) | Due (hrs) |
From the above calculations, the completion of the job
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