Design of economically and statistically optimal sampling plans

Authors : Mohammad Saber Fallah NEZHAD, Faeze Zahmatkesh SAREDORAHİ, Mohammad Saleh OWLİA, Mohammad Ali Vahdat ZAD

Pages : 685-708

View : 17 | Download : 5

Publication Date : 2018-06-01

Article Type : Research Paper

Abstract :This paper attempts to develop four types of acceptance sampling plans under the objectives of minimizing the total loss to the producer and consumer and maximizing the rate of approaching to the ideal operat ing characteristic insert ignore into journalissuearticles values(OC); curve when the quality characteristic follows a normal distribution and has lower specication limit. To provide the desired protection for both the producer and the consumer, two con straints are considered that balance both producer and consumer risks by using two specied points on OC curve. The first objective func tion of this model is constructed based on the total expected loss by incorporating the one-sided minimum specication Taguchi loss func tion, and the second one is constructed based on conformity to the ideal OC curve by using minimum angle method. Also, the optimal solution of the proposed plans is determined for 10 different scenarios of pro cess parameters. Furthermore, the optimal solution of these plans is determined when only one of the objective functions is considered.
Keywords : Quality control, Acceptance sampling plan, Loss function, Minimum angle method, Acceptable quality level, Limiting quality level