Real Time Systems Design And Analysis

Chapter 7.2.6 - Response-Time Analysis: RMA Example

7.2.6 Response-Time Analysis: RMA Example

To illustrate the calculation of response-time analysis for a fixed-priority scheduling
scheme, consider the task set to be scheduled rate monotonically, as shown
below:

 

The highest priority task τ1 will have a response time equal to its execution time,
so R1 = 3.

The next highest priority task, τ2 will have its response time calculated as
follows. First, R2 = 4. Using Equation 7.10, the next values of R2 are derived as:

 

Since, R21 = R22, it implies that the response time of task τ2, R2, is 7.

Similarly, the lowest priority task τ3 response is derived as follows. First,
R30 = 5, then use Equation 7.10 again to compute the next values of R3:

 

Since, R31 = R32, the response time of the lowest priority task is 9.

 

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