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Real-Time Task Scheduling - Expert Level: conceptual clarity Real-Time Task Scheduling EXPERT

This skill evaluation ⚡ worksheet focuses on Real-Time Task Scheduling - a key topic in Scheduling. You'll solve 20 expert-level problems (Worksheet 9 of 10). The primary focus is on conceptual clarity. Master real-time task scheduling ssc cgl, real-time task scheduling reasoning tricks, and fast real-time task scheduling solving through systematic practice.

📝 Worksheet 9 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 9 of 10 (88% complete)

Question 1

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 9, 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: 9/40 = 0.225
- Task B: 2/10 = 0.200
- Task C: 3/40 = 0.075
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 2

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 40 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: 7/40 = 0.175
Total U = 0.367
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.367 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 3

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 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: 5/50 = 0.100
- 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 4

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

1. Calculate utilization:
- Task A: 12/40 = 0.300
- Task B: 10/40 = 0.250
- Task C: 3/10 = 0.300
- Task D: 6/30 = 0.200
Total U = 1.050
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 1.050 > 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 3, Period 10 - Task B: Execution 2, Period 50 - Task C: Execution 3, Period 10 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 3/10 = 0.300
- Task B: 2/50 = 0.040
- Task C: 3/10 = 0.300
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 6

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 12, Period 50 - Task B: Execution 4, Period 20 - Task C: Execution 2, Period 20 - Task D: Execution 6, Period 30 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 12/50 = 0.240
- Task B: 4/20 = 0.200
- Task C: 2/20 = 0.100
- Task D: 6/30 = 0.200
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 7

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 6, Period 20 - Task B: Execution 3, Period 20 - Task C: Execution 4, Period 20 - Task D: Execution 4, Period 40 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 6/20 = 0.300
- Task B: 3/20 = 0.150
- Task C: 4/20 = 0.200
- Task D: 4/40 = 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 8

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 3, Period 20 - Task B: Execution 3, Period 30 - Task C: Execution 8, Period 40 - Task D: Execution 8, Period 50 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 3/20 = 0.150
- Task B: 3/30 = 0.100
- Task C: 8/40 = 0.200
- Task D: 8/50 = 0.160
Total U = 0.610
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.610 ≤ 0.757 (RM bound)

Answer: Schedulable

Question 9

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 6, Period 50 - Task D: Execution 3, Period 30 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: 6/50 = 0.120
- Task D: 3/30 = 0.100
Total U = 0.820
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.820 > 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 20 - Task B: Execution 6, Period 30 - Task C: Execution 13, Period 50 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 2/20 = 0.100
- Task B: 6/30 = 0.200
- Task C: 13/50 = 0.260
Total U = 0.560
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.560 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 11

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

1. Calculate utilization:
- Task A: 3/20 = 0.150
- Task B: 6/50 = 0.120
- Task C: 3/40 = 0.075
Total U = 0.345
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.345 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 12

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 8, Period 50 - Task B: Execution 4, Period 40 - Task C: Execution 16, Period 50 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 8/50 = 0.160
- Task B: 4/40 = 0.100
- Task C: 16/50 = 0.320
Total U = 0.580
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.580 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 13

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 4, Period 30 - Task B: Execution 8, Period 30 - Task C: Execution 6, Period 30 - Task D: Execution 4, Period 50 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 4/30 = 0.133
- Task B: 8/30 = 0.267
- Task C: 6/30 = 0.200
- Task D: 4/50 = 0.080
Total U = 0.680
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.680 ≤ 0.757 (RM bound)

Answer: Schedulable

Question 14

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 6, Period 40 - Task B: Execution 7, Period 40 - Task C: Execution 3, Period 30 - Task D: Execution 3, Period 50 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 6/40 = 0.150
- Task B: 7/40 = 0.175
- Task C: 3/30 = 0.100
- Task D: 3/50 = 0.060
Total U = 0.485
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.485 ≤ 0.757 (RM bound)

Answer: Schedulable

Question 15

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 2, Period 20 - Task B: Execution 5, Period 20 - Task C: Execution 4, Period 20 - Task D: Execution 10, Period 40 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 2/20 = 0.100
- Task B: 5/20 = 0.250
- Task C: 4/20 = 0.200
- Task D: 10/40 = 0.250
Total U = 0.800
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.800 > 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 7, Period 50 - Task B: Execution 6, Period 20 - Task C: Execution 7, Period 50 - Task D: Execution 5, Period 30 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 7/50 = 0.140
- Task B: 6/20 = 0.300
- Task C: 7/50 = 0.140
- Task D: 5/30 = 0.167
Total U = 0.747
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.747 ≤ 0.757 (RM bound)

Answer: Schedulable

Question 17

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 12, Period 50 - Task B: Execution 5, Period 40 - Task C: Execution 7, Period 50 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 12/50 = 0.240
- Task B: 5/40 = 0.125
- Task C: 7/50 = 0.140
Total U = 0.505
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.505 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 18

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

1. Calculate utilization:
- Task A: 10/40 = 0.250
- Task B: 7/40 = 0.175
- Task C: 2/10 = 0.200
Total U = 0.625
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.625 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 19

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

1. Calculate utilization:
- Task A: 3/10 = 0.300
- Task B: 2/10 = 0.200
- Task C: 7/30 = 0.233
Total U = 0.733
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.733 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 20

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 2, Period 10 - Task B: Execution 4, Period 30 - Task C: Execution 2, Period 20 - Task D: Execution 7, Period 30 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 2/10 = 0.200
- Task B: 4/30 = 0.133
- Task C: 2/20 = 0.100
- Task D: 7/30 = 0.233
Total U = 0.667
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.667 ≤ 0.757 (RM bound)

Answer: Schedulable
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