Método Monte Carlo de Varredura de Domínio (MCS).

Format:

Book

Author/Creator:

Caldeira, Alexandre David.

Contributor:

Vieira, Wilson José.

Language:

Portuguese

Subjects (All):

Monte Carlo method.

Optimisation . . .

Physical Description:

1 online resource (28 pages)

Edition:

1st ed.

Place of Publication:

Belo Horizonte : Editora Dialética, 2024.

Summary:

The book explores the Monte Carlo Scanning (MCS) method, a computational technique used for solving optimization problems. It emphasizes the advancements in computer processing speeds, which now allow for the implementation of the MCS method to efficiently scan and analyze functions for their optimal values. The text discusses the evolution of computer technology over the decades and its impact on computational methods. It highlights the method's simplicity and accessibility, making it suitable for higher education students, particularly in fields related to operations research and decision support systems. The book provides a detailed implementation guide for the MCS method, using Scilab, and presents applications on various continuous functions, aiming to demonstrate its effectiveness in optimization without requiring advanced calculus knowledge. Generated by AI.

Contents:

Intro

Folha de Rosto

Créditos

CAPÍTULO 1

CONSIDERAÇÕES GERAIS

CAPÍTULO 2

O MÉTODO MCS

2.1 UM PROCEDIMENTO DE IMPLEMENTAÇÃO DO MÉTODO MCS

CAPÍTULO 3

APLICAÇÕES DO MÉTODO MCS

3.1 FUNÇÕES DE UMA VARIÁVEL

3.1.1 Função f(x) = x2

3.1.2 Função g(x) = cos(x)

3.1.3 Função h(x) = exp(−x)

3.2 FUNÇÕES DE DUAS VARIÁVEIS

3.2.1 Função p(x,y) = x2+2y2−0,3cos(3πx)−0,4cos(4πy)

3.2.2 Função q(x,y) = x2+2y2−cos(πx)−cos(2πy)

3.2.3 Função r(x,y) = x2+2y2−0,3cos(3πx+4πy)

3.2.4 Função s(x,y) = x2+y2−0,2cos(πx)−0,2cos(πy)

CAPÍTULO 4

COMENTÁRIOS FINAIS

REFERÊNCIAS

APÊNDICE A

A.1) FIGURA 1, HISTOGRAMA

A.2) FUNÇÃO F(X) = X2

A.3) FIGURA 7, VARIAÇÃO PERCENTUAL

A.4) FUNÇÃO G(X) = COS(X)

A.5) FUNÇÃO H(X) = EXP(−X)

A.6) FUNÇÃO P(X,Y) = X2+2Y2−0,3COS(3ΠX)−0,4COS(4ΠY)

A.7) FUNÇÃO Q(X,Y) = X2+2Y2−COS(ΠX)−COS(2ΠY)

A.8) FUNÇÃO R(X,Y) = X2+2Y2−0,3COS(3ΠX+4ΠY)

A.9) FUNÇÃO S(X,Y) = X2+Y2−0,2COS(ΠX)−0,2COS(ΠY).

Notes:

Description based on publisher supplied metadata and other sources.

Part of the metadata in this record was created by AI, based on the text of the resource.

Other Format:

Print version: Caldeira, Alexandre David Método Monte Carlo de Varredura de Domínio (MCS)

ISBN:

9786527016984

OCLC:

1419871041