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Solving auto part spraying sequence by transforming to traveling salesman problem and genetic algorithm
WANG Binrong, TAN Dailun, ZHENG Bochuan
Journal of Computer Applications    2021, 41 (3): 881-886.   DOI: 10.11772/j.issn.1001-9081.2020060868
Abstract271)      PDF (970KB)(438)       Save
Optimizing the color spraying sequence of auto parts can help enterprises to further reduce the production costs. However, there is no research proposing specific mathematical models and solutions for this type of problems. Considering the fact that each auto part must be sprayed and sprayed only once, which has the basic characteristics of the Traveling Salesman Problem (TSP), a modeling method of TSP transformation was proposed and the Genetic Algorithm (GA) with strong parallelism and robustness was selected to solve it. Firstly, the auto parts were defined as the TSP vertices, and the distance between the vertices and production constraints were defined according to the color and category requirements of the auto parts, so as to construct a 0-1 planning model for minimizing the number of color switching of the spraying sequence. Secondly, the color and category constraints of the auto parts were transformed into penalty factors, so as to construct the fitness function of the genetic algorithm. And, based on the championship selection strategy, the mutation strategies of copying, swapping, flipping, and sliding were comprehensively designed. Finally, three sets of data with 64, 93, 293 auto parts and 5, 7, 10 colors were constructed for simulation experiments. The proposed algorithm can obtain the accurate optimal solutions 5, 7, 10 for all three sets of data. With repeatedly running the algorithm, the average values of the approximate optimal solution are 5.63, 7.37, 11.49. Experimental results show that the established mathematical model is accurate to describe the auto part spraying sequence problem, and the designed genetic algorithm is efficient and practical, both of them can be applied to other similar production and processing problems.
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