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Question 1: Consider the following function:

Question 1: Consider the following function:

Database System Concepts
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
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Question 1: Consider the following function: 5x) = {-xp(-(100)) f(x) for x ≤ 100, -exp(-1) + (x-100) (x-102) for x> 100. This function has two local minima one at x = 0 and the other at x = 101 as shown in Figure 1: 3 2.5 2 1.5 1. 0.5 0 -0.5 -1 -1.5 -20 20 40 60 80 100 120 Figure 1 1. Where does the global minimum occur? 2. With the goal of finding the global minimum of the function, GA was run with default parameters. The GA returned -1 at x = -0.0688. What do you think of this result? 3. Is there anything that you could possibly do to improve the performance of the GA? What would you do?
Transcribed Image Text:Question 1: Consider the following function: 5x) = {-xp(-(100)) f(x) for x ≤ 100, -exp(-1) + (x-100) (x-102) for x> 100. This function has two local minima one at x = 0 and the other at x = 101 as shown in Figure 1: 3 2.5 2 1.5 1. 0.5 0 -0.5 -1 -1.5 -20 20 40 60 80 100 120 Figure 1 1. Where does the global minimum occur? 2. With the goal of finding the global minimum of the function, GA was run with default parameters. The GA returned -1 at x = -0.0688. What do you think of this result? 3. Is there anything that you could possibly do to improve the performance of the GA? What would you do?
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