Multivariate chance-constrained method applied in multi-objective optimization problems of manufacturing processes

Detalhes bibliográficos
Autor(a) principal: TORRES, Alexandre Fonseca
Data de Publicação: 2020
Tipo de documento: Tese
Idioma: eng
Título da fonte: Repositório Institucional da UNIFEI (RIUNIFEI)
Texto Completo: https://repositorio.unifei.edu.br/jspui/handle/123456789/2401
Resumo: Agência 1
id UFEI_77dcdbc9f58722a540219e46329e55ce
oai_identifier_str oai:repositorio.unifei.edu.br:123456789/2401
network_acronym_str UFEI
network_name_str Repositório Institucional da UNIFEI (RIUNIFEI)
repository_id_str 7044
spelling 2020-12-072021-04-152021-04-15T13:27:30Z2021-04-15T13:27:30Zhttps://repositorio.unifei.edu.br/jspui/handle/123456789/2401Agência 1In the multi-objective optimization problems of manufacturing processes, the responses of interest are often significantly correlated. In addition to the multivariate nature of the problems, product demands, productive capacities, cycle times, the costs of labor, machines, and tools are just some of the many random variables involved in the optimization model. In particular, when using Design of Experiments (DoE) techniques and regression methods, the estimated coefficients for the empirical models - such as response surface models - are also stochastic. However, it has been observed that most of the articles published in this research area are limited to represent the stochastic variables in a deterministic way. Within this context, the present study aimed to propose the use of stochastic programming techniques combined with multivariate statistical methods including some process capability indices widely used in the industry, such as the capacity index and the Parts Per Million () index. The use of the methods combined used resulted in the proposal of the Multivariate Chance-Constrained Programming (MCCP). To test the applicability of the MCCP method, a multi-objective optimization problem of the AISI 52100 hardened steel turning process was selected as a case study given its widespread use and relevance to the industry nowadays. As a starting point for this study, a set of experimental results obtained from a central composite design was used. The decision variables were the cutting speed (), the feed rate () and the depth of cut (). The responses of interest selected for this work were the total machining cost per part (), the material removal rate (), the tool life (), the average roughness () and the total roughness (). After analyzing the data and building the mathematical models for the responses of interest, three approaches were carried out. In the first approach, the index included the calculation of the variance of the response surface model of . In the second approach, the probability that is less than or equal to a predefined value was modelled as a stochastic objective function. Finally, the third approach described the application of the proposed MCCP method. In this approach, the index was calculated using a normal bivariate distribution for both and . The main results of this research were: a) the demonstration and validation of an equation used to calculate the variance of a continuous, derivable and dependent function of stochastic variables; b) the analysis of the impact of seven stochastic industrial variables (setup time, lot size, machine and labor costs, insert changing time, tool holder price, tool holder life and insert price) on the cost of the process; c) finding that maximizing tool life may reduce cost in some cases – for example when using Wiper tools – but the change of the cutting conditions alone does not necessarily reduce the cost of the process, as in what occurred in the case study analyzed.engUniversidade Federal de ItajubáPrograma de Pós-Graduação: Doutorado - Engenharia de ProduçãoUNIFEIBrasilIEPG - Instituto de Engenharia de Produção e GestãoCNPQ::ENGENHARIAS::ENGENHARIA DE PRODUÇÃOChance-constrainedMultivariate methodOptimization problems of manufacturing processesMultivariate chance-constrained method applied in multi-objective optimization problems of manufacturing processesinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisBALESTRASSI, Pedro Paulohttp://lattes.cnpq.br/8999535447828760COSTA, Antonio Fernando Brancohttp://lattes.cnpq.br/6100382011052492http://lattes.cnpq.br/0960950329289507TORRES, Alexandre FonsecaTORRES, Alexandre Fonseca. Multivariate chance-constrained method applied in multi-objective optimization problems of manufacturing processes. 2020. 105 f. Tese (Doutorado em Engenharia de Produção) – Universidade Federal de Itajubá, Itajubá, 2020.info:eu-repo/semantics/openAccessreponame:Repositório Institucional da UNIFEI (RIUNIFEI)instname:Universidade Federal de Itajubá (UNIFEI)instacron:UNIFEILICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://repositorio.unifei.edu.br/jspui/bitstream/123456789/2401/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52ORIGINALTese_2021023.pdfTese_2021023.pdfapplication/pdf2888423https://repositorio.unifei.edu.br/jspui/bitstream/123456789/2401/1/Tese_2021023.pdf5a93a25c0c0e840115ae03d01cfa542eMD51123456789/24012021-04-15 10:33:47.438oai:repositorio.unifei.edu.br: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Repositório InstitucionalPUBhttps://repositorio.unifei.edu.br/oai/requestrepositorio@unifei.edu.br || geraldocarlos@unifei.edu.bropendoar:70442021-04-15T13:33:47Repositório Institucional da UNIFEI (RIUNIFEI) - Universidade Federal de Itajubá (UNIFEI)false
dc.title.en.fl_str_mv Multivariate chance-constrained method applied in multi-objective optimization problems of manufacturing processes
title Multivariate chance-constrained method applied in multi-objective optimization problems of manufacturing processes
spellingShingle Multivariate chance-constrained method applied in multi-objective optimization problems of manufacturing processes
TORRES, Alexandre Fonseca
CNPQ::ENGENHARIAS::ENGENHARIA DE PRODUÇÃO
Chance-constrained
Multivariate method
Optimization problems of manufacturing processes
title_short Multivariate chance-constrained method applied in multi-objective optimization problems of manufacturing processes
title_full Multivariate chance-constrained method applied in multi-objective optimization problems of manufacturing processes
title_fullStr Multivariate chance-constrained method applied in multi-objective optimization problems of manufacturing processes
title_full_unstemmed Multivariate chance-constrained method applied in multi-objective optimization problems of manufacturing processes
title_sort Multivariate chance-constrained method applied in multi-objective optimization problems of manufacturing processes
author TORRES, Alexandre Fonseca
author_facet TORRES, Alexandre Fonseca
author_role author
dc.contributor.advisor1.fl_str_mv BALESTRASSI, Pedro Paulo
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/8999535447828760
dc.contributor.advisor-co1.fl_str_mv COSTA, Antonio Fernando Branco
dc.contributor.advisor-co1Lattes.fl_str_mv http://lattes.cnpq.br/6100382011052492
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/0960950329289507
dc.contributor.author.fl_str_mv TORRES, Alexandre Fonseca
contributor_str_mv BALESTRASSI, Pedro Paulo
COSTA, Antonio Fernando Branco
dc.subject.cnpq.fl_str_mv CNPQ::ENGENHARIAS::ENGENHARIA DE PRODUÇÃO
topic CNPQ::ENGENHARIAS::ENGENHARIA DE PRODUÇÃO
Chance-constrained
Multivariate method
Optimization problems of manufacturing processes
dc.subject.eng.fl_str_mv Chance-constrained
Multivariate method
Optimization problems of manufacturing processes
description Agência 1
publishDate 2020
dc.date.issued.fl_str_mv 2020-12-07
dc.date.available.fl_str_mv 2021-04-15
2021-04-15T13:27:30Z
dc.date.accessioned.fl_str_mv 2021-04-15T13:27:30Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/doctoralThesis
format doctoralThesis
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://repositorio.unifei.edu.br/jspui/handle/123456789/2401
url https://repositorio.unifei.edu.br/jspui/handle/123456789/2401
dc.language.iso.fl_str_mv eng
language eng
dc.relation.references.pt_BR.fl_str_mv TORRES, Alexandre Fonseca. Multivariate chance-constrained method applied in multi-objective optimization problems of manufacturing processes. 2020. 105 f. Tese (Doutorado em Engenharia de Produção) – Universidade Federal de Itajubá, Itajubá, 2020.
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Universidade Federal de Itajubá
dc.publisher.program.fl_str_mv Programa de Pós-Graduação: Doutorado - Engenharia de Produção
dc.publisher.initials.fl_str_mv UNIFEI
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv IEPG - Instituto de Engenharia de Produção e Gestão
publisher.none.fl_str_mv Universidade Federal de Itajubá
dc.source.none.fl_str_mv reponame:Repositório Institucional da UNIFEI (RIUNIFEI)
instname:Universidade Federal de Itajubá (UNIFEI)
instacron:UNIFEI
instname_str Universidade Federal de Itajubá (UNIFEI)
instacron_str UNIFEI
institution UNIFEI
reponame_str Repositório Institucional da UNIFEI (RIUNIFEI)
collection Repositório Institucional da UNIFEI (RIUNIFEI)
bitstream.url.fl_str_mv https://repositorio.unifei.edu.br/jspui/bitstream/123456789/2401/2/license.txt
https://repositorio.unifei.edu.br/jspui/bitstream/123456789/2401/1/Tese_2021023.pdf
bitstream.checksum.fl_str_mv 8a4605be74aa9ea9d79846c1fba20a33
5a93a25c0c0e840115ae03d01cfa542e
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
repository.name.fl_str_mv Repositório Institucional da UNIFEI (RIUNIFEI) - Universidade Federal de Itajubá (UNIFEI)
repository.mail.fl_str_mv repositorio@unifei.edu.br || geraldocarlos@unifei.edu.br
_version_ 1801863219760857088

Registros relacionados