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Real-Time Task Scheduling: Worksheet 6 - Intermediate-Advanced Practice Real-Time Task Scheduling INTERMEDIATE ADVANCED

Ready to master Real-Time Task Scheduling? This timed practice ⚡ worksheet (6/10) presents 20 intermediate-advanced-level challenges. Focus area: speed building. Learn to solve real-time task scheduling tricks, handle real-time task scheduling shortcut methods, and perfect real-time task scheduling bank exam questions with our step-by-step solutions.

📝 Worksheet 6 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate Advanced level

What you'll learn in this worksheet:
Your progress through Real-Time Task Scheduling
Worksheet 6 of 10 (55% complete)

Question 1

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 13, Period 40 - Task B: Execution 10, Period 30 - Task C: Execution 2, Period 30 - Task D: Execution 3, Period 10 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 13/40 = 0.325
- Task B: 10/30 = 0.333
- Task C: 2/30 = 0.067
- Task D: 3/10 = 0.300
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 2

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 3, Period 10 - Task B: Execution 3, Period 10 - Task C: Execution 6, Period 40 - Task D: Execution 2, Period 10 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 3/10 = 0.300
- Task B: 3/10 = 0.300
- Task C: 6/40 = 0.150
- Task D: 2/10 = 0.200
Total U = 0.950
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.950 > 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 11, Period 40 - Task B: Execution 2, Period 10 - Task C: Execution 8, Period 30 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 11/40 = 0.275
- Task B: 2/10 = 0.200
- Task C: 8/30 = 0.267
Total U = 0.742
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.742 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 4

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 3, Period 30 - Task B: Execution 2, Period 50 - Task C: Execution 8, Period 30 - Task D: Execution 6, Period 20 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 3/30 = 0.100
- Task B: 2/50 = 0.040
- Task C: 8/30 = 0.267
- Task D: 6/20 = 0.300
Total U = 0.707
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.707 ≤ 0.757 (RM bound)

Answer: Schedulable

Question 5

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 7, Period 30 - Task B: Execution 5, Period 40 - Task C: Execution 2, Period 20 - Task D: Execution 9, Period 30 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 7/30 = 0.233
- Task B: 5/40 = 0.125
- Task C: 2/20 = 0.100
- Task D: 9/30 = 0.300
Total U = 0.758
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.758 > 0.757 (RM bound)

Answer: May not be schedulable

Question 6

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 3, Period 10 - Task B: Execution 11, Period 50 - Task C: Execution 6, Period 20 - Task D: Execution 2, Period 10 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 3/10 = 0.300
- Task B: 11/50 = 0.220
- Task C: 6/20 = 0.300
- Task D: 2/10 = 0.200
Total U = 1.020
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 1.020 > 0.757 (RM bound)

Answer: May not be schedulable

Question 7

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 7, Period 40 - Task B: Execution 2, Period 10 - Task C: Execution 11, Period 50 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 7/40 = 0.175
- Task B: 2/10 = 0.200
- Task C: 11/50 = 0.220
Total U = 0.595
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.595 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 8

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 11, Period 40 - Task B: Execution 2, Period 10 - Task C: Execution 7, Period 40 - Task D: Execution 16, Period 50 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 11/40 = 0.275
- Task B: 2/10 = 0.200
- Task C: 7/40 = 0.175
- Task D: 16/50 = 0.320
Total U = 0.970
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.970 > 0.757 (RM bound)

Answer: May not be schedulable

Question 9

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 2, Period 10 - Task B: Execution 4, Period 50 - Task C: Execution 6, Period 50 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 2/10 = 0.200
- Task B: 4/50 = 0.080
- Task C: 6/50 = 0.120
Total U = 0.400
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.400 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 10

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

1. Calculate utilization:
- Task A: 4/30 = 0.133
- Task B: 5/30 = 0.167
- Task C: 4/20 = 0.200
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 11

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 7, Period 30 - Task B: Execution 3, Period 30 - Task C: Execution 3, Period 10 - Task D: Execution 2, Period 10 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 7/30 = 0.233
- Task B: 3/30 = 0.100
- Task C: 3/10 = 0.300
- Task D: 2/10 = 0.200
Total U = 0.833
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.833 > 0.757 (RM bound)

Answer: May not be schedulable

Question 12

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 9, Period 30 - Task B: Execution 8, Period 50 - Task C: Execution 10, Period 30 - Task D: Execution 13, Period 40 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 9/30 = 0.300
- Task B: 8/50 = 0.160
- Task C: 10/30 = 0.333
- Task D: 13/40 = 0.325
Total U = 1.118
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 1.118 > 0.757 (RM bound)

Answer: May not be schedulable

Question 13

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 8, Period 40 - Task B: Execution 9, Period 50 - Task C: Execution 3, Period 10 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 8/40 = 0.200
- Task B: 9/50 = 0.180
- Task C: 3/10 = 0.300
Total U = 0.680
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.680 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 14

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 13, Period 40 - Task B: Execution 12, Period 40 - Task C: Execution 2, Period 10 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 13/40 = 0.325
- Task B: 12/40 = 0.300
- Task C: 2/10 = 0.200
Total U = 0.825
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.825 > 0.780 (RM bound)

Answer: May not be schedulable

Question 15

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 8, Period 50 - Task B: Execution 6, Period 20 - Task C: Execution 7, Period 50 - Task D: Execution 7, Period 50 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 8/50 = 0.160
- Task B: 6/20 = 0.300
- Task C: 7/50 = 0.140
- Task D: 7/50 = 0.140
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 16

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 11, Period 40 - Task B: Execution 2, Period 40 - Task C: Execution 4, Period 40 - Task D: Execution 5, Period 50 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 11/40 = 0.275
- Task B: 2/40 = 0.050
- Task C: 4/40 = 0.100
- Task D: 5/50 = 0.100
Total U = 0.525
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.525 ≤ 0.757 (RM bound)

Answer: Schedulable

Question 17

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 6, Period 20 - Task B: Execution 8, Period 50 - 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: 8/50 = 0.160
- Task C: 4/20 = 0.200
Total U = 0.660
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.660 ≤ 0.780 (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 2, Period 10 - Task C: Execution 3, Period 40 - Task D: Execution 6, Period 30 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 16/50 = 0.320
- Task B: 2/10 = 0.200
- Task C: 3/40 = 0.075
- Task D: 6/30 = 0.200
Total U = 0.795
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.795 > 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 11, Period 40 - Task B: Execution 11, Period 40 - Task C: Execution 7, Period 40 - Task D: Execution 5, Period 30 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 11/40 = 0.275
- Task B: 11/40 = 0.275
- Task C: 7/40 = 0.175
- Task D: 5/30 = 0.167
Total U = 0.892
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.892 > 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 2, Period 30 - Task B: Execution 5, Period 20 - Task C: Execution 3, Period 40 - Task D: Execution 6, Period 40 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 2/30 = 0.067
- Task B: 5/20 = 0.250
- Task C: 3/40 = 0.075
- Task D: 6/40 = 0.150
Total U = 0.542
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.542 ≤ 0.757 (RM bound)

Answer: Schedulable
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