Title: A hybrid NSGA-II-DEA method for the economic-statistical design of the C-control charts with multiple assignable causes

Authors: Mostafa Zandieh; Amir Hossein Hosseinian; Reza Derakhshani

Addresses: Department of Industrial Management, Shahid Beheshti University, G.C., Tehran, Iran ' Department of Industrial Engineering, Islamic Azad University, Tehran North Branch, Tehran, Iran ' Department of Industrial Engineering, Islamic Azad University, Tehran North Branch, Tehran, Iran

Abstract: In this paper, a multi-objective model for the economic-statistical design of the C-control charts is presented. The proposed model considers that multiple assignable causes can occur during the production process. Then, a hybrid meta-heuristic algorithm is developed to solve the model. The proposed algorithm consists of an improved version of the non-dominated sorting genetic algorithm II (NSGA-II) and the data envelopment analysis (DEA) which is called the IM-NSGA-II-DEA. For the proposed algorithm, new crossover and mutation operators based on the technique for order preference by similarity to ideal solution (TOPSIS) have been designed. After obtaining the non-dominated solutions, the DEA is employed to find the efficient ones. The performance of the IM-NSGA-II is evaluated in comparison with the classical NSGA-II and NRGA. The results of numerical experiments imply that the proposed method is superior to other algorithms in terms of objective function values and several multi-objective metrics.

Keywords: economic-statistical design; meta-heuristics; data envelopment analysis; DEA; multiple assignable causes.

DOI: 10.1504/IJQET.2019.104871

International Journal of Quality Engineering and Technology, 2019 Vol.7 No.3, pp.222 - 255

Received: 12 Oct 2017
Accepted: 20 Sep 2018

Published online: 04 Feb 2020 *

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