Mathematical Biosciences and Engineering (Feb 2019)

A genetic regulatory network based method for multi-objective sequencing problem in mixed-model assembly lines

  • Youlong Lv,
  • Jie Zhang

DOI
https://doi.org/10.3934/mbe.2019059
Journal volume & issue
Vol. 16, no. 3
pp. 1228 – 1243

Abstract

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This research proposes a genetic regulatory network based sequencing method that minimizes multiple objectives including utility work costs, production rate variation costs and setup costs in mixed-model assembly lines. After constructing mathematical model of this multi-objective sequencing problem, the proposed method generates a set of genes to represent the decision variables and develops a gene regulation equation to describe decision variable interactions composed of production constraints and some validated sequencing rules. Moreover, a gene expression procedure that determines each gene's expression state based on the gene regulation equation is designed. This enables the generation of a series of problem solutions by indicating decision variable values with related gene expression states, and realizes the minimization of weighted sum of multiple objectives by applying a regulatory parameter optimization mechanism in regulation equations. The proposed genetic regulatory network based sequencing method is validated through a series of comparative experiments, and the results demonstrate its effectiveness over other methods in terms of solution quality, especially for industrial instances collected from a diesel engine assembly line.

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