Parallel Simplex, an Alternative to Classical Experimentation: A Case Study

Experimentation is a strong methodology that improves and optimizes processes. Nevertheless, in many cases, real-life dynamics of production demands and other restrictions inhibit the use of these methodologies because their use implies stopping production, generating scrap, jeopardizing demand acco...

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Main Authors: Francisco Zorrilla Briones, Inocente Yuliana Meléndez Pastrana, Manuel Alonso Rodríguez Morachis, José Luís Anaya Carrasco
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Data
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Online Access:https://www.mdpi.com/2306-5729/9/12/147
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author Francisco Zorrilla Briones
Inocente Yuliana Meléndez Pastrana
Manuel Alonso Rodríguez Morachis
José Luís Anaya Carrasco
author_facet Francisco Zorrilla Briones
Inocente Yuliana Meléndez Pastrana
Manuel Alonso Rodríguez Morachis
José Luís Anaya Carrasco
author_sort Francisco Zorrilla Briones
collection DOAJ
description Experimentation is a strong methodology that improves and optimizes processes. Nevertheless, in many cases, real-life dynamics of production demands and other restrictions inhibit the use of these methodologies because their use implies stopping production, generating scrap, jeopardizing demand accomplishments, and other problems. Proposed here is an alternative methodology to search for the best process variable levels and optimize the response of the process without the need to stop production. This algorithm is based on the principles of the Variable Simplex developed by Nelder and Mead and the continuous iterative process of EVOPS developed by Box, which is then modified as a simplex by Spendley. It is named parallel simplex because it searches for the best response with three independent Simplexes searching for the same response at the same time. The algorithm was designed for three simplexes of two input variables each. The case study documented shows that it is efficient and effective.
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spelling doaj-art-6df6ea7ae436422bab074f9f2c4ce1622025-08-20T02:00:21ZengMDPI AGData2306-57292024-12-0191214710.3390/data9120147Parallel Simplex, an Alternative to Classical Experimentation: A Case StudyFrancisco Zorrilla Briones0Inocente Yuliana Meléndez Pastrana1Manuel Alonso Rodríguez Morachis2José Luís Anaya Carrasco3División de Estudios de Posgrado e Investigación, Tecnológico Nacional de Mexico/I.T. de Ciudad Juárez, Av. Tecnológico 1340, Fuentes del Valle, Juárez 32500, Chihuahua, MexicoDivisión de Estudios de Posgrado e Investigación, Tecnológico Nacional de Mexico/I.T. de Ciudad Juárez, Av. Tecnológico 1340, Fuentes del Valle, Juárez 32500, Chihuahua, MexicoDivisión de Estudios de Posgrado e Investigación, Tecnológico Nacional de Mexico/I.T. de Ciudad Juárez, Av. Tecnológico 1340, Fuentes del Valle, Juárez 32500, Chihuahua, MexicoDivisión de Estudios de Posgrado e Investigación, Tecnológico Nacional de Mexico/I.T. de Ciudad Juárez, Av. Tecnológico 1340, Fuentes del Valle, Juárez 32500, Chihuahua, MexicoExperimentation is a strong methodology that improves and optimizes processes. Nevertheless, in many cases, real-life dynamics of production demands and other restrictions inhibit the use of these methodologies because their use implies stopping production, generating scrap, jeopardizing demand accomplishments, and other problems. Proposed here is an alternative methodology to search for the best process variable levels and optimize the response of the process without the need to stop production. This algorithm is based on the principles of the Variable Simplex developed by Nelder and Mead and the continuous iterative process of EVOPS developed by Box, which is then modified as a simplex by Spendley. It is named parallel simplex because it searches for the best response with three independent Simplexes searching for the same response at the same time. The algorithm was designed for three simplexes of two input variables each. The case study documented shows that it is efficient and effective.https://www.mdpi.com/2306-5729/9/12/147optimizationdesign of experimentsvariable simplexevolutive operationscanonical analysisRSM
spellingShingle Francisco Zorrilla Briones
Inocente Yuliana Meléndez Pastrana
Manuel Alonso Rodríguez Morachis
José Luís Anaya Carrasco
Parallel Simplex, an Alternative to Classical Experimentation: A Case Study
Data
optimization
design of experiments
variable simplex
evolutive operations
canonical analysis
RSM
title Parallel Simplex, an Alternative to Classical Experimentation: A Case Study
title_full Parallel Simplex, an Alternative to Classical Experimentation: A Case Study
title_fullStr Parallel Simplex, an Alternative to Classical Experimentation: A Case Study
title_full_unstemmed Parallel Simplex, an Alternative to Classical Experimentation: A Case Study
title_short Parallel Simplex, an Alternative to Classical Experimentation: A Case Study
title_sort parallel simplex an alternative to classical experimentation a case study
topic optimization
design of experiments
variable simplex
evolutive operations
canonical analysis
RSM
url https://www.mdpi.com/2306-5729/9/12/147
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AT manuelalonsorodriguezmorachis parallelsimplexanalternativetoclassicalexperimentationacasestudy
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