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Real-Time Task Scheduling - Absolute-Beginner Level: core concept mastery Real-Time Task Scheduling ABSOLUTE BEGINNER

This skill primer 🌟 worksheet focuses on Real-Time Task Scheduling - a key topic in Scheduling. You'll solve 20 absolute-beginner-level problems (Worksheet 1 of 10). The primary focus is on core concept mastery. Master real-time task scheduling problems, real-time task scheduling reasoning questions, and real-time task scheduling practice through systematic practice.

📝 Worksheet 1 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Absolute Beginner level

What you'll learn in this worksheet:
Your progress through Real-Time Task Scheduling
Worksheet 1 of 10 (0% complete)

Question 1

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

1. Calculate utilization:
- Task A: 3/40 = 0.075
- Task B: 10/30 = 0.333
- Task C: 3/10 = 0.300
Total U = 0.708
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.708 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 2

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 13, Period 40 - Task B: Execution 7, Period 50 - Task C: Execution 16, Period 50 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 13/40 = 0.325
- Task B: 7/50 = 0.140
- Task C: 16/50 = 0.320
Total U = 0.785
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.785 > 0.780 (RM bound)

Answer: May not be schedulable

Question 3

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 2, Period 50 - Task B: Execution 7, Period 50 - Task C: Execution 11, Period 50 - Task D: Execution 4, Period 20 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 2/50 = 0.040
- Task B: 7/50 = 0.140
- Task C: 11/50 = 0.220
- Task D: 4/20 = 0.200
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 4

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 5, Period 20 - Task B: Execution 15, Period 50 - Task C: Execution 3, Period 10 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 5/20 = 0.250
- Task B: 15/50 = 0.300
- Task C: 3/10 = 0.300
Total U = 0.850
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.850 > 0.780 (RM bound)

Answer: May not be schedulable

Question 5

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 3, Period 10 - Task D: Execution 5, Period 30 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: 3/10 = 0.300
- Task D: 5/30 = 0.167
Total U = 0.927
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.927 > 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 10, Period 30 - Task B: Execution 3, Period 50 - Task C: Execution 3, Period 10 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 10/30 = 0.333
- Task B: 3/50 = 0.060
- Task C: 3/10 = 0.300
Total U = 0.693
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.693 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 7

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

1. Calculate utilization:
- Task A: 3/30 = 0.100
- Task B: 11/40 = 0.275
- Task C: 7/30 = 0.233
Total U = 0.608
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.608 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 8

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 5, Period 20 - Task B: Execution 13, Period 40 - Task C: Execution 2, Period 10 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 5/20 = 0.250
- Task B: 13/40 = 0.325
- Task C: 2/10 = 0.200
Total U = 0.775
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.775 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 9

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

1. Calculate utilization:
- Task A: 3/40 = 0.075
- Task B: 10/30 = 0.333
- Task C: 2/10 = 0.200
- Task D: 2/10 = 0.200
Total U = 0.808
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.808 > 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 2, Period 10 - Task B: Execution 7, Period 40 - Task C: 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: 7/40 = 0.175
- Task C: 4/20 = 0.200
Total U = 0.575
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.575 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 11

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 8, Period 30 - Task B: Execution 2, Period 10 - Task C: Execution 9, Period 40 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 8/30 = 0.267
- Task B: 2/10 = 0.200
- Task C: 9/40 = 0.225
Total U = 0.692
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.692 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 12

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 5, Period 30 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: 5/30 = 0.167
Total U = 0.533
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.533 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 13

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 2, Period 50 - Task B: Execution 3, Period 10 - Task C: Execution 4, Period 30 - Task D: Execution 6, Period 20 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 2/50 = 0.040
- Task B: 3/10 = 0.300
- Task C: 4/30 = 0.133
- Task D: 6/20 = 0.300
Total U = 0.773
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.773 > 0.757 (RM bound)

Answer: May not be schedulable

Question 14

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 3, Period 10 - Task B: Execution 7, Period 40 - Task C: Execution 4, Period 20 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 3/10 = 0.300
- Task B: 7/40 = 0.175
- Task C: 4/20 = 0.200
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 15

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 4, Period 50 - Task B: Execution 5, Period 30 - Task C: Execution 2, Period 40 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 4/50 = 0.080
- Task B: 5/30 = 0.167
- Task C: 2/40 = 0.050
Total U = 0.297
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.297 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 16

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 4, Period 20 - Task B: Execution 3, Period 10 - Task C: Execution 4, Period 30 - Task D: Execution 3, Period 20 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 4/20 = 0.200
- Task B: 3/10 = 0.300
- Task C: 4/30 = 0.133
- Task D: 3/20 = 0.150
Total U = 0.783
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.783 > 0.757 (RM bound)

Answer: May not be schedulable

Question 17

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 6, Period 40 - Task B: Execution 7, Period 30 - Task C: Execution 6, Period 30 - Task D: Execution 4, Period 30 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 6/40 = 0.150
- Task B: 7/30 = 0.233
- Task C: 6/30 = 0.200
- Task D: 4/30 = 0.133
Total U = 0.717
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.717 ≤ 0.757 (RM bound)

Answer: Schedulable

Question 18

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 14, Period 50 - Task B: Execution 3, Period 30 - Task C: Execution 13, Period 50 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 14/50 = 0.280
- Task B: 3/30 = 0.100
- Task C: 13/50 = 0.260
Total U = 0.640
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.640 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 19

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 2, Period 20 - Task B: Execution 6, Period 20 - Task C: Execution 4, Period 20 - Task D: Execution 3, Period 30 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 2/20 = 0.100
- Task B: 6/20 = 0.300
- Task C: 4/20 = 0.200
- Task D: 3/30 = 0.100
Total U = 0.700
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.700 ≤ 0.757 (RM bound)

Answer: Schedulable

Question 20

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 9, Period 30 - Task B: Execution 5, Period 20 - Task C: Execution 3, Period 10 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 9/30 = 0.300
- Task B: 5/20 = 0.250
- Task C: 3/10 = 0.300
Total U = 0.850
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.850 > 0.780 (RM bound)

Answer: May not be schedulable
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