Economic-statistical designs of integrated qss-rs and qss-rgs plans

نویسندگان

1 Department of Industrial Engineering, Faculty of Engineering, Alzahra University , Tehran, Iran

2 Department of Industrial Engineering, Faculty of Engineering, Alzahra University , Tehran, Iran

doi
چکیده

This study presents two innovative quick switching sampling (QSS) plans by separately employing repetitive group sampling (RGS) and resubmitted sampling (RS) for Normal inspection, alongside utilizing single sampling (SS) for Tightened inspection, tailored for normally distributed quality characteristics. A Markovian model is employed to calculate acceptance probabilities. Furthermore, we develop the first loss-based model for presenting economic-statistical designs (ESDs) of QSS plans, along with an alternative model based on the average sample number (ASN) objective function. Addressing the limitations of traditional grid search approaches in existing literature, we introduce a Particle Swarm Optimization (PSO)-based solution, enabling the optimal determination of QSS plan decision variables. Through numerical examples, a comprehensive case study, and sensitivity analysis, we demonstrate that the QSS-RS-SS plan, when coupled with the loss-based model, significantly reduces total risks and costs.