### Vector-Vector Addition and Parallel TasksThe figure illustrates the relationship between the number of parallel tasks and the time required for vector-vector addition. This is a common operation in various computational processes. The time taken (measured in seconds) is plotted on the vertical axis, and the number of tasks is plotted on the horizontal axis.#### Graph Details:- **X-Axis (Horizontal):** Represents the number of tasks, ranging from 0 to 35.- **Y-Axis (Vertical):** Represents the time in seconds required to perform the vector-vector addition, ranging from 0 to 1.6 seconds.- **Curve Pattern:** The graph shows a steep decline in time as the number of tasks increases from 0 to about 10. Beyond 10 tasks, the time stabilizes and shows marginal or no decrease, even as the tasks increase up to 35.#### Analysis:Initially, as the number of tasks increases, the time taken for vector-vector addition significantly decreases. However, beyond approximately 10 parallel tasks, the reduction in time plateaus. This phenomenon can be attributed to the finite nature of other computer resources besides CPU speed, such as memory bandwidth, data bus limits, or overhead from managing multiple processes. Such constraints can limit the efficiency gains from further parallelization beyond a certain point.

The reason behind this is the limited or finite resources that a computer has which eventually…

you noticed that the time required for vector-vector addition did not continue to decrease beyond about 10 parallel tasks. The figure is replicated below. Describe why this might be true. (Hint: what other resources are finite in a modern computer beyond CPU speed?).

you noticed that the time required for vector-vector addition did not continue to decrease beyond about 10 parallel tasks. The figure is replicated below. Describe why this might be true. (Hint: what other resources are finite in a modern computer beyond CPU speed?).

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

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Concept explainers

Randomized Select Algorithm

A randomized algorithm is defined as one that uses a certain amount of randomization in its logic or operation. It is said to be an algorithm that depends on the random number to perform its operation. It is used for reducing the overall time complexity, space complexity in the standard algorithm. The randomized algorithm uses the concept of random numbers to find the solutions to the different kinds of problems and also to improve the problem solutions.

Question

### Vector-Vector Addition and Parallel Tasks

The figure illustrates the relationship between the number of parallel tasks and the time required for vector-vector addition. This is a common operation in various computational processes. The time taken (measured in seconds) is plotted on the vertical axis, and the number of tasks is plotted on the horizontal axis.

#### Graph Details:

- **X-Axis (Horizontal):** Represents the number of tasks, ranging from 0 to 35.
- **Y-Axis (Vertical):** Represents the time in seconds required to perform the vector-vector addition, ranging from 0 to 1.6 seconds.
- **Curve Pattern:** The graph shows a steep decline in time as the number of tasks increases from 0 to about 10. Beyond 10 tasks, the time stabilizes and shows marginal or no decrease, even as the tasks increase up to 35.

#### Analysis:

Initially, as the number of tasks increases, the time taken for vector-vector addition significantly decreases. However, beyond approximately 10 parallel tasks, the reduction in time plateaus. This phenomenon can be attributed to the finite nature of other computer resources besides CPU speed, such as memory bandwidth, data bus limits, or overhead from managing multiple processes. Such constraints can limit the efficiency gains from further parallelization beyond a certain point.

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