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

Francisco Zorrilla Briones (), Inocente Yuliana Meléndez Pastrana, Manuel Alonso Rodríguez Morachis and José Luís Anaya Carrasco
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Francisco Zorrilla Briones: División de Estudios de Posgrado e Investigación, Tecnológico Nacional de Mexico/I.T. de Ciudad Juárez, Av. Tecnológico 1340, Fuentes del Valle, Juárez 32500, Chihuahua, Mexico
Inocente Yuliana Meléndez Pastrana: División de Estudios de Posgrado e Investigación, Tecnológico Nacional de Mexico/I.T. de Ciudad Juárez, Av. Tecnológico 1340, Fuentes del Valle, Juárez 32500, Chihuahua, Mexico
Manuel Alonso Rodríguez Morachis: División de Estudios de Posgrado e Investigación, Tecnológico Nacional de Mexico/I.T. de Ciudad Juárez, Av. Tecnológico 1340, Fuentes del Valle, Juárez 32500, Chihuahua, Mexico
José Luís Anaya Carrasco: División de Estudios de Posgrado e Investigación, Tecnológico Nacional de Mexico/I.T. de Ciudad Juárez, Av. Tecnológico 1340, Fuentes del Valle, Juárez 32500, Chihuahua, Mexico

Data, 2024, vol. 9, issue 12, 1-16

Abstract: 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.

Keywords: optimization; design of experiments; variable simplex; evolutive operations; canonical analysis; RSM (search for similar items in EconPapers)
JEL-codes: C8 C80 C81 C82 C83 (search for similar items in EconPapers)
Date: 2024
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