Optimal performance of plastic pipes’ extrusion process using Min-Max model in fuzzy goal programming

Abstract

The main objective of this research is to optimize performance of plastic pipes’ extrusion process with two main quality responses, including pipe’s diameter and thickness, using Min-Max model in fuzzy goal programming. First, the variables control charts are constructed at initial factor settings of extrusion process, where the results reveal that the extrusion process is in statistical control. However, the actual capability index values for diameter and thickness are estimated 0.7094 and 0.7968, respectively. The process capability for a complete product, MC_pk, is calculated as 0.752. These values indicate that the extrusion process is incapable. To improve process performance, the L₁₈ array is utilized for experimental design with three 3-level process factors. Then, the Min-Max model is used to determine the combination of optimal factor settings. The estimated capability index values for diameter and thickness at the combination of optimal factor settings are estimated and found to be 1.504 and 1.879, respectively. The integrated process capability index, MC_pk, is calculated as 1.681. Confirmation experiments should that the Min-Max model results in enhancing process capability for both responses. In conclusions, the Min-Max Model may provide valuable assistance to practitioners in optimizing performance while considering both product and process preferences.

Keywords

Min-Max model Taguchi method extrusion process process capability

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