Question

(c) Determine how many more processes, each with t = 3 and d = 20, can run concurrently under the Rate Monotonic (RM) scheduling algorithm?

Answer 1

The Rate Monotonic (RM) scheduling algorithm prioritizes processes based on their period. To determine how many more processes can run concurrently under RM scheduling, calculate the CPU utilization and the number of processes that can satisfy the CPU utilization, then subtract the given number of processes from the calculated number.

Step-by-step explanation:

The Rate Monotonic (RM) scheduling algorithm is based on assigning priority to processes based on their period (or time between arrivals). The higher the priority, the shorter the period. Under RM scheduling, processes with shorter periods are given higher priority and can interrupt processes with longer periods to run concurrently.

In this case, we have processes with t = 3 (time period) and d = 20 (duration). To determine how many more processes can run concurrently, we need to consider the following:

1. Calculate the CPU utilization (U) using the formula U = n * (2^(1/n) - 1), where n is the number of processes. For RM scheduling, U should be less than or equal to 0.693.
2. Calculate the number of processes (n) that can satisfy the given CPU utilization. Rearrange the formula above to solve for n.
3. Subtract the given number of processes from the calculated number of processes to determine how many more processes can run concurrently.

Let's calculate:

Step 1: Calculate CPU utilization (U) = ?

Step 2: Calculate number of processes (n) = ?

Step 3: Calculate additional processes that can run concurrently = ?