Question

A certain computer has two identical processors that are able to run in parallel. The following table indicates the amount of time it takes to execute each of four processes on a single processor. Assume that none of the processes is dependent on any of the other processes.
Process Execution Time on
Either Processor
P 30 seconds
Q 10 seconds
R 20 seconds
S 15 seconds

Question
57

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Which of the following parallel computing solutions would minimize the amount of time it takes to execute all four processes?

Running processes P and Q on one processor and processes R and S on the other processor
Option A,Running processes P and Q on one processor and processes R and S on the other processor

Running processes P and R on one processor and processes Q and S on the other processor
Option B,Running processes P and R on one processor and processes Q and S on the other processor

Running processes P and S on one processor and processes Q and R on the other processor
Option C,Running processes P and S on one processor and processes Q and R on the other processor

Running process P on one processor and processes Q, R, and S on the other processor

Answers

Answer
Only one
Answered by GPT-4o mini
To determine the best parallel computing solution for minimizing the amount of time to execute all four processes, we need to analyze each of the proposed combinations in terms of their total execution time on both processors.

1. **Option A:** Running processes P and Q on one processor and processes R and S on the other processor.
- Processor 1: P (30 seconds) + Q (10 seconds) = **30 seconds** (the longer one determines the time)
- Processor 2: R (20 seconds) + S (15 seconds) = **20 seconds**
- Overall time = max(30, 20) = **30 seconds**

2. **Option B:** Running processes P and R on one processor and processes Q and S on the other processor.
- Processor 1: P (30 seconds) + R (20 seconds) = **30 seconds**
- Processor 2: Q (10 seconds) + S (15 seconds) = **15 seconds**
- Overall time = max(30, 15) = **30 seconds**

3. **Option C:** Running processes P and S on one processor and processes Q and R on the other processor.
- Processor 1: P (30 seconds) + S (15 seconds) = **30 seconds**
- Processor 2: Q (10 seconds) + R (20 seconds) = **20 seconds**
- Overall time = max(30, 20) = **30 seconds**

4. **Option D:** Running process P on one processor and processes Q, R, and S on the other processor.
- Processor 1: P (30 seconds) = **30 seconds**
- Processor 2: Q (10 seconds) + R (20 seconds) + S (15 seconds) = **45 seconds** (the longer one determines the time)
- Overall time = max(30, 45) = **45 seconds**

**Conclusion:**
Options A, B, and C all result in an overall execution time of **30 seconds**, while Option D takes **45 seconds**. Therefore, the best solutions that minimize the total execution time would be **Options A, B, and C**, each taking **30 seconds**.

You can choose any of these three options to minimize the total execution time, as they all yield the same optimal result.

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