Utilization. Consider the scenario shown below, with a single source client sending to a server over two links of capacities R₁=100 Mbps and R3-10 Mbps. R₁ R3 What is the utilization of the link of capacity R₁? 0.5 O.10 1.0 10.0

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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### Utilization Scenario

Consider the scenario shown below, with a single source client sending data to a server over two links of capacities \( R_1 = 100 \) Mbps and \( R_3 = 10 \) Mbps.

![diagram](image-link)

- **R1 (Link 1)**: 100 Mbps
- **R3 (Link 3)**: 10 Mbps

The setup includes:
- A computer (source client) connected to \( R_1 \)
- A router in the middle
- A server connected via \( R_3 \)

**Question:**
What is the utilization of the link of capacity \( R_1 \)?

**Answer Options:**
- ⭕ .5
- ⭕ .10
- ⭕ 1.0
- ⭕ 10.0

**Explanation:**

In the diagram, the computer is connected to the router via a link with capacity \( R_1 = 100 \) Mbps, and the router is further connected to the server via a link with capacity \( R_3 = 10 \) Mbps.

Utilization typically refers to the effective usage of a link's capacity. Given \( R_3 \)'s much smaller capacity, it will likely become the bottleneck in this scenario. Here, the key point is to find how the smaller capacity link \( R_3 \) influences the utilization of the larger capacity link \( R_1 \).

To compute utilization:

\[ \text{Utilization of } R_1 = \frac{\text{Capacity of } R_3}{\text{Capacity of } R_1} = \frac{10 \text{ Mbps}}{100 \text{ Mbps}} = 0.10 \]

Thus, the utilization of the link of capacity \( R_1 \) is 0.10.

---

For further learning, students can explore:
- How bottleneck links determine data flow rates
- Factors affecting network performance and utilization
Transcribed Image Text:### Utilization Scenario Consider the scenario shown below, with a single source client sending data to a server over two links of capacities \( R_1 = 100 \) Mbps and \( R_3 = 10 \) Mbps. ![diagram](image-link) - **R1 (Link 1)**: 100 Mbps - **R3 (Link 3)**: 10 Mbps The setup includes: - A computer (source client) connected to \( R_1 \) - A router in the middle - A server connected via \( R_3 \) **Question:** What is the utilization of the link of capacity \( R_1 \)? **Answer Options:** - ⭕ .5 - ⭕ .10 - ⭕ 1.0 - ⭕ 10.0 **Explanation:** In the diagram, the computer is connected to the router via a link with capacity \( R_1 = 100 \) Mbps, and the router is further connected to the server via a link with capacity \( R_3 = 10 \) Mbps. Utilization typically refers to the effective usage of a link's capacity. Given \( R_3 \)'s much smaller capacity, it will likely become the bottleneck in this scenario. Here, the key point is to find how the smaller capacity link \( R_3 \) influences the utilization of the larger capacity link \( R_1 \). To compute utilization: \[ \text{Utilization of } R_1 = \frac{\text{Capacity of } R_3}{\text{Capacity of } R_1} = \frac{10 \text{ Mbps}}{100 \text{ Mbps}} = 0.10 \] Thus, the utilization of the link of capacity \( R_1 \) is 0.10. --- For further learning, students can explore: - How bottleneck links determine data flow rates - Factors affecting network performance and utilization
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