Calculate the idle time of the processor with 3 periodic tasks whose execution times are given as 1, 1, and 3, and their periods are 3, 4, and 10. Select one: 17% 12% 88%
A)0.17
B)0.12
C)0.88
D)1

Question

Quizplus · Accepted Answer

The total utilization of the processor can be calculated using the formula for utilization $U = \sum \frac{C_i}{T_i}$, where $C_i$ is the execution time of task $i$ and $T_i$ is the period of task $i$. For the given tasks, $U = \frac{1}{3} + \frac{1}{4} + \frac{3}{10} = \frac{10 + 7.5 + 9}{30} = \frac{26.5}{30} = 0.8833$. The idle time percentage is $100\% - U\% = 100\% - 88.33\% = 11.67\%$, which is approximately 12%.

Calculate the Idle Time of the Processor with 3 Periodic