A DEA-bases Approach for Multi-objective Design of Attribute Acceptance Sampling Plans

Subject Areas : International Journal of Data Envelopment Analysis

S. Jafarian-Namin ¹ , A Pakzad ² , M.S. M.S. Fallah Nezhad ³

1 - Faculty of Industrial Engineering, Yazd University, Yazd, Iran
2 - Department of Indutrial Engineering, Kosar University of Bojnord, Bojnord, Iran
3 - Faculty of Industrial Engineering, Yazd University, Yazd, Iran

Received: 2017-02-02 Accepted : 2017-04-05 Published : 2017-05-01

Keywords: Acceptance sampling, Single sampling plan, MOESD, DEA,

Abstract :

Acceptance sampling (AS), as one of the main fields of statistical quality control (SQC),involves a system of principles and methods to make decisions about accepting or rejecting alot or sample. For attributes, the design of a single AS plan generally requires determination ofsample size, and acceptance number. Numerous approaches have been developed foroptimally selection of design parameters in last decades. We develop a multi-objectiveeconomic-statistical design (MOESD) of the single AS plan to reach a well-balancedcompromise between cost and quality features. Moreover, a simple and efficient DEA-basedalgorithm for solving the model is proposed. Through a simulation study, the efficiency ofproposed model is illustrated. Comparisons of optimal designs obtained using MOESD toeconomic model with statistical constraints reveals enhanced performance of the multiobjectivemodel.

References:

[1] Montgomery, D.C. (2008). Introduction to Statistical Quality Control. New York: Wiley.

[2] Pearn, W.L., Wu. C.W. (2006). Critical acceptance values and sample sizes of a variables sampling plan for very low fraction of nonconforming. Omega, 34(1), 90-101.

[3]Aslam, M., Niaki, S.T.A.., Rasool, M., Fallahnezhad, M.S. (2012). Decision rule of repetitive acceptance sampling plans assuring percentile life. Scientia Iranica, 19(3), 879-884.