What is the overall system average response time in milliseconds, if 2 reqs arrive at S0 per second?

To find the overall system average response time in milliseconds based on the given information, we need to follow these steps:

1. Break Down the Problem

We need to determine the average response time (ART) given that 2 requests arrive at system S0 per second. The average response time can be influenced by various factors, including the service rate and system characteristics, which aren't provided directly in the question.

2. Relevant Concepts

Assuming we are using a simple queueing model, we can use the formula:

$\text{ART} = \frac{1}{\mu - \lambda}$

Where:

• $\mu$ is the service rate (requests handled per second).
• $\lambda$ is the arrival rate (requests arriving per second).

Here, we know $\lambda = 2$ req/sec.

3. Analysis and Detail

Without the service rate $\mu$, we can't compute the ART directly. However, let's assume a service rate for analysis purposes. For instance, if the service rate $\mu = 4$ req/sec, then:

$\text{ART} = \frac{1}{4 - 2} = \frac{1}{2} \text{ seconds} = 500 \text{ milliseconds}$

4. Verify and Summarize

If $\mu$ were different, the average response time will vary accordingly. The average response time formula indicates that as the service rate increases relative to the arrival rate, the average response time decreases.

Final Answer

If $\mu = 4$ req/sec, then the average response time is 500 milliseconds. Without specified $\mu$, the average response time cannot be definitively calculated. Please provide the service rate for precise calculation.