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October 2020 Bi-objective mathematical model for optimal sequencing of two-level factorial designs
V. M. M. Pureza, P. C. Oprime, A. F. B. Costa, D. Morales
Braz. J. Probab. Stat. 34(4): 712-727 (October 2020). DOI: 10.1214/19-BJPS453

Abstract

Conducting sequencing experiments with good statistical properties and low cost is a crucial challenge for both researchers and practitioners. 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 $2^{k}$ full-factorial and fractional-factorial designs. The approach performance is evaluated using designs of up to 64 experiments with different levels of resolution. The results indicate that the approach can yield optimal or sub-optimal solutions, depending on the objectives established for a given design matrix.

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V. M. M. Pureza. P. C. Oprime. A. F. B. Costa. D. Morales. "Bi-objective mathematical model for optimal sequencing of two-level factorial designs." Braz. J. Probab. Stat. 34 (4) 712 - 727, October 2020. https://doi.org/10.1214/19-BJPS453

Information

Received: 1 July 2019; Accepted: 1 September 2019; Published: October 2020
First available in Project Euclid: 25 September 2020

MathSciNet: MR4153638
Digital Object Identifier: 10.1214/19-BJPS453

Rights: Copyright © 2020 Brazilian Statistical Association

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Vol.34 • No. 4 • October 2020
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