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Five jobs are scheduled on SPT rules are ABCDE which have processing times 4, 17, 14, 9,11 days respectively and their due dates are 6, 20, 18,12,12 days from now respectively.The number of jobs delivered tardy are
- a)0
- b)2
- c)3
- d)4
Correct answer is option 'D'. Can you explain this answer?
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Five jobs are scheduled on SPT rules are ABCDE which have processing ...
In case of finding number of jobs delivered late , find job loading sequence using EDD rule , jobs are loaded in the increasing order of these due dates.
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Five jobs are scheduled on SPT rules are ABCDE which have processing ...
Job Scheduling Problem with SPT Rules
In this problem, we have five jobs scheduled based on the Shortest Processing Time (SPT) rule. The jobs are labeled as A, B, C, D, and E, and their respective processing times are 4, 17, 14, 9, and 11 days. The due dates for these jobs are 6, 20, 18, 12, and 12 days from now, respectively.
Understanding SPT Rule
The SPT rule is a scheduling algorithm that prioritizes jobs based on their processing times. In this rule, jobs with shorter processing times are given higher priority and scheduled first.
Calculating Job Completion Times
To determine if a job is delivered tardy, we need to calculate the job completion times. The job completion time is the sum of the processing time and the waiting time for each job.
The job completion times for the given jobs are as follows:
Job A: Processing Time = 4 days, Completion Time = 4 days (no waiting time)
Job B: Processing Time = 17 days, Completion Time = 4 + 17 = 21 days
Job C: Processing Time = 14 days, Completion Time = 21 + 14 = 35 days
Job D: Processing Time = 9 days, Completion Time = 35 + 9 = 44 days
Job E: Processing Time = 11 days, Completion Time = 44 + 11 = 55 days
Determining Tardy Jobs
To determine if a job is delivered tardy, we compare its completion time with its due date. If the completion time is greater than the due date, the job is considered tardy.
The due dates for the given jobs are as follows:
Job A: Due Date = 6 days
Job B: Due Date = 20 days
Job C: Due Date = 18 days
Job D: Due Date = 12 days
Job E: Due Date = 12 days
Comparing the completion times with the due dates, we find that the following jobs are delivered tardy:
Job B: Completion Time = 21 days > Due Date = 20 days
Job C: Completion Time = 35 days > Due Date = 18 days
Job D: Completion Time = 44 days > Due Date = 12 days
Job E: Completion Time = 55 days > Due Date = 12 days
Therefore, four jobs (B, C, D, and E) out of the five scheduled jobs are delivered tardy.
Conclusion
Based on the SPT rule and the given processing times and due dates, four out of the five jobs (B, C, D, and E) are delivered tardy. Therefore, the correct answer is option D.
In this problem, we have five jobs scheduled based on the Shortest Processing Time (SPT) rule. The jobs are labeled as A, B, C, D, and E, and their respective processing times are 4, 17, 14, 9, and 11 days. The due dates for these jobs are 6, 20, 18, 12, and 12 days from now, respectively.
Understanding SPT Rule
The SPT rule is a scheduling algorithm that prioritizes jobs based on their processing times. In this rule, jobs with shorter processing times are given higher priority and scheduled first.
Calculating Job Completion Times
To determine if a job is delivered tardy, we need to calculate the job completion times. The job completion time is the sum of the processing time and the waiting time for each job.
The job completion times for the given jobs are as follows:
Job A: Processing Time = 4 days, Completion Time = 4 days (no waiting time)
Job B: Processing Time = 17 days, Completion Time = 4 + 17 = 21 days
Job C: Processing Time = 14 days, Completion Time = 21 + 14 = 35 days
Job D: Processing Time = 9 days, Completion Time = 35 + 9 = 44 days
Job E: Processing Time = 11 days, Completion Time = 44 + 11 = 55 days
Determining Tardy Jobs
To determine if a job is delivered tardy, we compare its completion time with its due date. If the completion time is greater than the due date, the job is considered tardy.
The due dates for the given jobs are as follows:
Job A: Due Date = 6 days
Job B: Due Date = 20 days
Job C: Due Date = 18 days
Job D: Due Date = 12 days
Job E: Due Date = 12 days
Comparing the completion times with the due dates, we find that the following jobs are delivered tardy:
Job B: Completion Time = 21 days > Due Date = 20 days
Job C: Completion Time = 35 days > Due Date = 18 days
Job D: Completion Time = 44 days > Due Date = 12 days
Job E: Completion Time = 55 days > Due Date = 12 days
Therefore, four jobs (B, C, D, and E) out of the five scheduled jobs are delivered tardy.
Conclusion
Based on the SPT rule and the given processing times and due dates, four out of the five jobs (B, C, D, and E) are delivered tardy. Therefore, the correct answer is option D.
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Five jobs are scheduled on SPT rules are ABCDE which have processing times 4, 17, 14, 9,11 days respectively and their due dates are 6, 20, 18,12,12 days from now respectively.The number of jobs delivered tardy area)0b)2c)3d)4Correct answer is option 'D'. Can you explain this answer?
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