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Real-Time Task Scheduling: Worksheet 10 - Expert Practice Real-Time Task Scheduling EXPERT

Ready to master Real-Time Task Scheduling? This accuracy focus 👑 worksheet (10/10) presents 20 expert-level challenges. Focus area: application-based learning. Learn to solve real-time task scheduling reasoning tricks, handle fast real-time task scheduling solving, and perfect real-time task scheduling mastery with our step-by-step solutions.

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

What you'll learn in this worksheet:
Your progress through Real-Time Task Scheduling
Worksheet 10 of 10 (100% complete)

Question 1

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 3, Period 10 - Task B: Execution 5, Period 50 - Task C: Execution 5, Period 20 - Task D: Execution 2, Period 20 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 3/10 = 0.300
- Task B: 5/50 = 0.100
- Task C: 5/20 = 0.250
- Task D: 2/20 = 0.100
Total U = 0.750
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.750 ≤ 0.757 (RM bound)

Answer: Schedulable

Question 2

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 9, Period 30 - Task B: Execution 2, Period 30 - Task C: Execution 2, Period 10 - Task D: Execution 6, Period 20 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 9/30 = 0.300
- Task B: 2/30 = 0.067
- Task C: 2/10 = 0.200
- Task D: 6/20 = 0.300
Total U = 0.867
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.867 > 0.757 (RM bound)

Answer: May not be schedulable

Question 3

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 12, Period 40 - Task B: Execution 5, Period 30 - Task C: Execution 3, Period 10 - Task D: Execution 5, Period 20 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 12/40 = 0.300
- Task B: 5/30 = 0.167
- Task C: 3/10 = 0.300
- Task D: 5/20 = 0.250
Total U = 1.017
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 1.017 > 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 2, Period 10 - Task B: Execution 4, Period 20 - Task C: Execution 3, Period 10 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 2/10 = 0.200
- Task B: 4/20 = 0.200
- Task C: 3/10 = 0.300
Total U = 0.700
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.700 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 5

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 2, Period 20 - Task B: Execution 4, Period 30 - Task C: Execution 4, Period 30 - Task D: Execution 9, Period 30 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 2/20 = 0.100
- Task B: 4/30 = 0.133
- Task C: 4/30 = 0.133
- Task D: 9/30 = 0.300
Total U = 0.667
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.667 ≤ 0.757 (RM bound)

Answer: Schedulable

Question 6

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 2, Period 10 - Task B: Execution 5, Period 40 - Task C: Execution 5, Period 40 - 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: 5/40 = 0.125
- Task C: 5/40 = 0.125
- Task D: 4/20 = 0.200
Total U = 0.650
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.650 ≤ 0.757 (RM bound)

Answer: Schedulable

Question 7

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 3, Period 40 - Task B: Execution 2, Period 10 - Task C: Execution 3, Period 40 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 3/40 = 0.075
- Task B: 2/10 = 0.200
- Task C: 3/40 = 0.075
Total U = 0.350
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.350 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 8

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 5, Period 40 - Task B: Execution 2, Period 50 - Task C: Execution 8, Period 40 - Task D: Execution 4, Period 20 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 5/40 = 0.125
- Task B: 2/50 = 0.040
- Task C: 8/40 = 0.200
- Task D: 4/20 = 0.200
Total U = 0.565
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.565 ≤ 0.757 (RM bound)

Answer: Schedulable

Question 9

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 3, Period 10 - Task B: Execution 12, Period 40 - Task C: Execution 6, Period 30 - Task D: Execution 9, Period 40 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 3/10 = 0.300
- Task B: 12/40 = 0.300
- Task C: 6/30 = 0.200
- Task D: 9/40 = 0.225
Total U = 1.025
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 1.025 > 0.757 (RM bound)

Answer: May not be schedulable

Question 10

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 13, Period 40 - Task B: Execution 2, Period 10 - Task C: Execution 4, Period 30 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 13/40 = 0.325
- Task B: 2/10 = 0.200
- Task C: 4/30 = 0.133
Total U = 0.658
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.658 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 11

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

1. Calculate utilization:
- Task A: 5/40 = 0.125
- Task B: 2/30 = 0.067
- Task C: 7/30 = 0.233
Total U = 0.425
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.425 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 12

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

1. Calculate utilization:
- Task A: 2/10 = 0.200
- Task B: 3/20 = 0.150
- Task C: 3/20 = 0.150
Total U = 0.500
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.500 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 13

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

1. Calculate utilization:
- Task A: 9/50 = 0.180
- Task B: 5/40 = 0.125
- Task C: 5/40 = 0.125
Total U = 0.430
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.430 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 14

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 2, Period 10 - Task B: Execution 3, Period 10 - Task C: Execution 8, Period 30 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 2/10 = 0.200
- Task B: 3/10 = 0.300
- Task C: 8/30 = 0.267
Total U = 0.767
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.767 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 15

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 6, Period 20 - Task B: Execution 3, Period 10 - Task C: Execution 4, Period 20 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 6/20 = 0.300
- Task B: 3/10 = 0.300
- Task C: 4/20 = 0.200
Total U = 0.800
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.800 > 0.780 (RM bound)

Answer: May not be schedulable

Question 16

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

1. Calculate utilization:
- Task A: 2/10 = 0.200
- Task B: 6/30 = 0.200
- Task C: 2/10 = 0.200
Total U = 0.600
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.600 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 17

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 2, Period 20 - Task B: Execution 2, Period 10 - Task C: Execution 7, Period 30 - Task D: Execution 2, Period 30 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 2/20 = 0.100
- Task B: 2/10 = 0.200
- Task C: 7/30 = 0.233
- Task D: 2/30 = 0.067
Total U = 0.600
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.600 ≤ 0.757 (RM bound)

Answer: Schedulable

Question 18

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 16, Period 50 - Task B: Execution 7, Period 40 - Task C: Execution 12, Period 40 - Task D: Execution 3, Period 10 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 16/50 = 0.320
- Task B: 7/40 = 0.175
- Task C: 12/40 = 0.300
- Task D: 3/10 = 0.300
Total U = 1.095
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 1.095 > 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 6, Period 40 - Task B: Execution 4, Period 20 - Task C: Execution 4, Period 20 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 6/40 = 0.150
- Task B: 4/20 = 0.200
- Task C: 4/20 = 0.200
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 20

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 3, Period 10 - Task B: Execution 2, Period 40 - Task C: Execution 14, Period 50 - Task D: Execution 8, Period 30 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 3/10 = 0.300
- Task B: 2/40 = 0.050
- Task C: 14/50 = 0.280
- Task D: 8/30 = 0.267
Total U = 0.897
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.897 > 0.757 (RM bound)

Answer: May not be schedulable
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