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Real-Time Task Scheduling: Worksheet 2 - Beginner Practice Real-Time Task Scheduling BEGINNER

Ready to master Real-Time Task Scheduling? This entry level practice worksheet (2/10) presents 20 beginner-level challenges. Focus area: pattern recognition. Learn to solve real-time task scheduling reasoning questions, handle real-time task scheduling practice, and perfect real-time task scheduling for competitive exams with our step-by-step solutions.

📝 Worksheet 2 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Real-Time Task Scheduling
Worksheet 2 of 10 (11% complete)

Question 1

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 3, Period 30 - Task B: Execution 7, Period 30 - Task C: Execution 4, Period 30 - Task D: Execution 11, Period 40 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 3/30 = 0.100
- Task B: 7/30 = 0.233
- Task C: 4/30 = 0.133
- Task D: 11/40 = 0.275
Total U = 0.742
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.742 ≤ 0.757 (RM bound)

Answer: Schedulable

Question 2

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 6, Period 20 - Task B: Execution 5, Period 50 - Task C: Execution 11, Period 40 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 6/20 = 0.300
- Task B: 5/50 = 0.100
- Task C: 11/40 = 0.275
Total U = 0.675
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.675 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 3

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 2, Period 10 - Task B: Execution 5, Period 30 - Task C: Execution 14, Period 50 - Task D: Execution 4, Period 20 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 2/10 = 0.200
- Task B: 5/30 = 0.167
- Task C: 14/50 = 0.280
- Task D: 4/20 = 0.200
Total U = 0.847
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.847 > 0.757 (RM bound)

Answer: May not be schedulable

Question 4

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 9, Period 30 - Task B: Execution 3, Period 10 - Task C: Execution 11, Period 40 - Task D: Execution 8, Period 30 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 9/30 = 0.300
- Task B: 3/10 = 0.300
- Task C: 11/40 = 0.275
- Task D: 8/30 = 0.267
Total U = 1.142
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 1.142 > 0.757 (RM bound)

Answer: May not be schedulable

Question 5

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 8, Period 40 - Task B: Execution 4, Period 20 - Task C: Execution 8, Period 50 - Task D: Execution 9, Period 50 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 8/40 = 0.200
- Task B: 4/20 = 0.200
- Task C: 8/50 = 0.160
- Task D: 9/50 = 0.180
Total U = 0.740
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.740 ≤ 0.757 (RM bound)

Answer: Schedulable

Question 6

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 3, Period 50 - Task B: Execution 6, Period 20 - Task C: Execution 10, Period 40 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 3/50 = 0.060
- Task B: 6/20 = 0.300
- Task C: 10/40 = 0.250
Total U = 0.610
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.610 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 7

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 4, Period 40 - Task B: Execution 14, Period 50 - Task C: Execution 2, Period 50 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 4/40 = 0.100
- Task B: 14/50 = 0.280
- Task C: 2/50 = 0.040
Total U = 0.420
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.420 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 8

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 2, Period 20 - Task B: Execution 8, Period 40 - Task C: Execution 7, Period 40 - Task D: Execution 8, Period 40 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 2/20 = 0.100
- Task B: 8/40 = 0.200
- Task C: 7/40 = 0.175
- Task D: 8/40 = 0.200
Total U = 0.675
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.675 ≤ 0.757 (RM bound)

Answer: Schedulable

Question 9

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 3, Period 20 - Task B: Execution 2, Period 10 - Task C: Execution 9, Period 50 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 3/20 = 0.150
- Task B: 2/10 = 0.200
- Task C: 9/50 = 0.180
Total U = 0.530
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.530 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 10

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 10, Period 30 - Task B: Execution 2, Period 30 - Task C: Execution 7, Period 40 - Task D: Execution 6, Period 30 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 10/30 = 0.333
- Task B: 2/30 = 0.067
- Task C: 7/40 = 0.175
- Task D: 6/30 = 0.200
Total U = 0.775
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.775 > 0.757 (RM bound)

Answer: May not be schedulable

Question 11

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 5, Period 50 - Task B: Execution 13, Period 40 - Task C: Execution 5, Period 40 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 5/50 = 0.100
- Task B: 13/40 = 0.325
- Task C: 5/40 = 0.125
Total U = 0.550
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.550 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 12

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 6, Period 30 - Task B: Execution 15, Period 50 - Task C: Execution 2, Period 40 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 6/30 = 0.200
- Task B: 15/50 = 0.300
- Task C: 2/40 = 0.050
Total U = 0.550
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.550 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 13

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 8, Period 40 - Task B: Execution 5, Period 40 - Task C: Execution 2, Period 30 - Task D: Execution 7, Period 40 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 8/40 = 0.200
- Task B: 5/40 = 0.125
- Task C: 2/30 = 0.067
- Task D: 7/40 = 0.175
Total U = 0.567
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.567 ≤ 0.757 (RM bound)

Answer: Schedulable

Question 14

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 4, Period 40 - Task B: Execution 12, Period 50 - Task C: Execution 2, Period 10 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 4/40 = 0.100
- Task B: 12/50 = 0.240
- Task C: 2/10 = 0.200
Total U = 0.540
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.540 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 15

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 6, Period 30 - Task B: Execution 4, Period 30 - Task C: Execution 12, Period 40 - Task D: Execution 10, Period 30 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 6/30 = 0.200
- Task B: 4/30 = 0.133
- Task C: 12/40 = 0.300
- Task D: 10/30 = 0.333
Total U = 0.967
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.967 > 0.757 (RM bound)

Answer: May not be schedulable

Question 16

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 13, Period 50 - Task B: Execution 9, Period 50 - Task C: Execution 5, Period 40 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 13/50 = 0.260
- Task B: 9/50 = 0.180
- Task C: 5/40 = 0.125
Total U = 0.565
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.565 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 17

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 4, Period 30 - Task B: Execution 2, Period 10 - Task C: Execution 2, Period 20 - Task D: Execution 12, Period 40 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 4/30 = 0.133
- Task B: 2/10 = 0.200
- Task C: 2/20 = 0.100
- Task D: 12/40 = 0.300
Total U = 0.733
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.733 ≤ 0.757 (RM bound)

Answer: Schedulable

Question 18

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 3, Period 10 - Task B: Execution 3, Period 40 - Task C: Execution 3, Period 10 - Task D: Execution 15, Period 50 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 3/10 = 0.300
- Task B: 3/40 = 0.075
- Task C: 3/10 = 0.300
- Task D: 15/50 = 0.300
Total U = 0.975
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.975 > 0.757 (RM bound)

Answer: May not be schedulable

Question 19

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 8, Period 30 - Task B: Execution 9, Period 30 - Task C: Execution 3, Period 30 - Task D: Execution 4, Period 40 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 8/30 = 0.267
- Task B: 9/30 = 0.300
- Task C: 3/30 = 0.100
- Task D: 4/40 = 0.100
Total U = 0.767
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.767 > 0.757 (RM bound)

Answer: May not be schedulable

Question 20

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 13, Period 40 - Task B: Execution 3, Period 40 - Task C: Execution 9, Period 50 - Task D: Execution 2, Period 20 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 13/40 = 0.325
- Task B: 3/40 = 0.075
- Task C: 9/50 = 0.180
- Task D: 2/20 = 0.100
Total U = 0.680
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.680 ≤ 0.757 (RM bound)

Answer: Schedulable
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