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Master Real-Time Task Scheduling - Beginner Level Problems Real-Time Task Scheduling BEGINNER

Excel in competitive exams with this skill builder ⚡ worksheet on Real-Time Task Scheduling. Worksheet 3 of 10 contains 20 beginner-level problems. Target your step-by-step problem solving skills while practicing real-time task scheduling practice, real-time task scheduling for competitive exams, and how to solve real-time task scheduling.

📝 Worksheet 3 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 3 of 10 (22% complete)

Question 1

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 6, Period 50 - Task B: Execution 6, Period 40 - Task C: Execution 12, Period 40 - Task D: Execution 8, Period 30 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 6/50 = 0.120
- Task B: 6/40 = 0.150
- Task C: 12/40 = 0.300
- Task D: 8/30 = 0.267
Total U = 0.837
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.837 > 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 2, Period 10 - Task C: Execution 7, Period 50 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: 7/50 = 0.140
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 3

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 4, Period 20 - Task B: Execution 4, Period 50 - Task C: Execution 6, Period 20 - Task D: Execution 7, Period 40 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 4/20 = 0.200
- Task B: 4/50 = 0.080
- Task C: 6/20 = 0.300
- Task D: 7/40 = 0.175
Total U = 0.755
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.755 ≤ 0.757 (RM bound)

Answer: Schedulable

Question 4

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 3, Period 10 - Task B: Execution 9, Period 50 - Task C: Execution 7, Period 50 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 3/10 = 0.300
- Task B: 9/50 = 0.180
- Task C: 7/50 = 0.140
Total U = 0.620
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.620 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 5

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

1. Calculate utilization:
- Task A: 3/10 = 0.300
- Task B: 9/30 = 0.300
- Task C: 3/20 = 0.150
- Task D: 10/30 = 0.333
Total U = 1.083
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 1.083 > 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 5, Period 20 - Task B: Execution 9, Period 50 - Task C: Execution 2, Period 20 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 5/20 = 0.250
- Task B: 9/50 = 0.180
- Task C: 2/20 = 0.100
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 7

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 11, Period 50 - Task B: Execution 4, Period 20 - Task C: Execution 2, Period 10 - Task D: Execution 4, Period 20 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 11/50 = 0.220
- Task B: 4/20 = 0.200
- Task C: 2/10 = 0.200
- Task D: 4/20 = 0.200
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 8

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 5, Period 50 - Task B: Execution 6, Period 20 - Task C: Execution 10, Period 40 - Task D: Execution 9, Period 30 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 5/50 = 0.100
- Task B: 6/20 = 0.300
- Task C: 10/40 = 0.250
- Task D: 9/30 = 0.300
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 9

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 13, Period 40 - Task B: Execution 11, 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: 11/40 = 0.275
- Task C: 2/10 = 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 10

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 13, Period 50 - Task B: Execution 7, Period 30 - Task C: Execution 15, Period 50 - Task D: Execution 3, Period 40 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 13/50 = 0.260
- Task B: 7/30 = 0.233
- Task C: 15/50 = 0.300
- Task D: 3/40 = 0.075
Total U = 0.868
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.868 > 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 8, Period 40 - Task B: Execution 6, Period 20 - Task C: Execution 3, Period 20 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 8/40 = 0.200
- Task B: 6/20 = 0.300
- Task C: 3/20 = 0.150
Total U = 0.650
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.650 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 12

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 4, Period 40 - Task B: Execution 5, Period 30 - Task C: Execution 10, Period 30 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 4/40 = 0.100
- Task B: 5/30 = 0.167
- Task C: 10/30 = 0.333
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 13

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 7, Period 40 - 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: 7/40 = 0.175
- Task B: 3/10 = 0.300
- 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 14

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 8, Period 50 - Task B: Execution 10, Period 30 - Task C: Execution 14, Period 50 - Task D: Execution 15, Period 50 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 8/50 = 0.160
- Task B: 10/30 = 0.333
- Task C: 14/50 = 0.280
- Task D: 15/50 = 0.300
Total U = 1.073
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 1.073 > 0.757 (RM bound)

Answer: May not be schedulable

Question 15

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 10, Period 50 - Task B: Execution 2, Period 30 - Task C: Execution 11, Period 50 - Task D: Execution 12, Period 40 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 10/50 = 0.200
- Task B: 2/30 = 0.067
- Task C: 11/50 = 0.220
- Task D: 12/40 = 0.300
Total U = 0.787
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.787 > 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 4, Period 50 - Task B: Execution 3, Period 40 - 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: 3/40 = 0.075
- Task C: 2/40 = 0.050
Total U = 0.205
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.205 ≤ 0.780 (RM bound)

Answer: Schedulable

Question 17

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 2, Period 10 - Task B: Execution 2, Period 30 - Task C: Execution 8, Period 40 - Task D: Execution 13, Period 40 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 2/10 = 0.200
- Task B: 2/30 = 0.067
- Task C: 8/40 = 0.200
- Task D: 13/40 = 0.325
Total U = 0.792
2. RM schedulability bound for 4 tasks: 0.757
3. Conclusion: Utilization 0.792 > 0.757 (RM bound)

Answer: May not be schedulable

Question 18

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 12, Period 50 - Task B: Execution 2, Period 10 - 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: 12/50 = 0.240
- Task B: 2/10 = 0.200
- Task C: 6/30 = 0.200
- Task D: 4/30 = 0.133
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 19

Real-time tasks with Rate Monotonic Scheduling (shorter period = higher priority): - Task A: Execution 10, Period 30 - Task B: Execution 13, Period 40 - Task C: Execution 5, Period 50 - Task D: Execution 4, Period 30 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 10/30 = 0.333
- Task B: 13/40 = 0.325
- Task C: 5/50 = 0.100
- Task D: 4/30 = 0.133
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 4, Period 50 - Task B: Execution 10, Period 50 - Task C: Execution 5, Period 20 Is the task set schedulable under RM?
Step-by-step solution:

1. Calculate utilization:
- Task A: 4/50 = 0.080
- Task B: 10/50 = 0.200
- Task C: 5/20 = 0.250
Total U = 0.530
2. RM schedulability bound for 3 tasks: 0.780
3. Conclusion: Utilization 0.530 ≤ 0.780 (RM bound)

Answer: Schedulable
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