Bi-objective mathematical model for optimal sequencing of two-level factorial designs

• Autor(a) principal: Pureza, V. M.M.
• Data de Publicação: 2020
• Outros Autores: Oprime, P. C., Costa, A. F.B. [UNESP], Morales, D.
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.1214/19-BJPS453; http://hdl.handle.net/11449/205221
• topic: Combinatorial optimization; Design of experiments; Linear time trend; Mathematical pro-gramming; Systematic sequencing

Conducting sequencing experiments with good statistical properties and low cost is a crucial challenge for both researchers and practi-tioners. The main reason for this challenge is the combinatorial nature of the problem and the possible conflicts among objectives. The problem was addressed by proposing a mathematical programming formulation aimed at generating minimum-cost run orders with the best statistical properties for 2k full-factorial and fractional-factorial designs. The approach performance is evaluated using designs of up to 64 experiments with different levels of reso-lution. The results indicate that the approach can yield optimal or sub-optimal solutions, depending on the objectives established for a given design matrix.