An Efficient Economic-Statistical Design of Simple Linear Profiles Using a Hybrid Approach of Data Envelopment Analysis, Taguchi Loss Function, and MOPSO

• Published in: Journal of optimization in industrial engineering Vol. 13; no. 1; pp. 99 - 112
• Main Authors: Maryam Fazelimoghadam, Mohammad Javad Ershadi, Seyed Taghi Akhavan Niaki
• Format: Journal Article
• Language: English
• Published: Islamic Azad University, Qazvin Branch 01.03.2020
• Subjects: data envelopment analysis (dea); economic-statistical design; linear profiles; mopso; quadratic loss function; response surface methodology (rsm)
• ISSN: 2251-9904; 2423-3935
• DOI: 10.22094/joie.2019.580054.1607

Statistically constrained economic design for profiles usually refers to the selection of some parameters such as the sample size, sampling interval, smoothing constant, and control limit for minimizing the total implementation cost while the designed profiles demonstrate a proper statistical performance. In this paper, the Lorenzen-Vance function is first used to model the implementation costs. Then, this function is extended by the Taguchi loss function to involve intangible costs. Next, a multi-objective particle swarm optimization (MOPSO) method is employed to optimize the extended model. The parameters of the MOPSO are tuned using response surface methodology (RSM). In addition, data envelopment analysis (DEA) is employed to find efficient solutions among all near-optimum solutions found by MOPSO. Finally, a sensitivity analysis based on the principal parameters of the cost function is applied to evaluate the impacts of changes on the main parameters. The results show that the proposed model is robust on some parameters such as the cost of detecting and repairing an assignable cause, variable cost of sampling, and fixed cost of sampling.