Journal of Quality Engineering and Management

Developing a New Optimization Model Based on the Process Yield Index     and the Process Capability Index     for Resubmitted lots 

Document Type : Original Article

Authors

Atefe Banihashemi 1
Mohammad Saber Fallahnezhad 2

1 Department of Industrial Engineering, Yazd University, Yazd, Iran; 

2   Department of Industrial Engineering, Yazd University, Yazd, Iran;   

Abstract
 Acceptance sampling plan is a useful tool for assurance and quality control in industries. In this paper, the resubmitted sampling plan is developed based on the process yield index     and the process capability index     by considering the minimum angle method. The plan parameters are determined by minimizing the ASN and satisfying the conformity to the ideal operating characteristic (OC) curve as well as the producer’s and customer’s risk, simultaneously. In addition, the performance of the proposed plan is evaluated on the basis of two indices and compared with the single sampling plan. The research results show that the proposed plan based on the index     is more economical because by increasing the similarity of the proposed plan’s OC curve to the ideal OC curve, the proposed plan based on the index     performs better than the proposed plan based on the index     in terms of ASN. The applicability of the proposed sampling plan is illustrated with a numerical example. 
 

Keywords

Keywords: acceptance sampling plan
customer's risk
minimum angle method
process capability index
process yield index
producer's risk
[1] Montgomery, D. C. (2009). Statistical quality control (Vol. 7). New York: Wiley.‏
[2] Duncan, A. J. (1986). Quality Control and Industrial Statistics, 5th. Ed. Irwin, Homewood, IL: Richard D Irvin.‏
[3] Govindaraju, K., & Ganesalingam, S. (1997). Sampling inspection for resubmitted lots. Communications in Statistics-Simulation and Computation, 26(3), 1163-1176.‏
[4] Wu, C. W., Aslam, M., & Jun, C. H. (2012). Variables sampling inspection scheme for resubmitted lots based on the process capability index Cpk. European Journal of Operational Research, 217(3), 560-566.‏
[5] Liu, S. W., Lin, S. W., & Wu, C. W. (2014). A resubmitted sampling scheme by variables inspection for controlling lot fraction nonconforming. International Journal of Production Research, 52(12), 3744-3754.‏
[6] Rao, G. S., Rosaiah, K., & Babu, M. S. (2019). Group acceptance sampling plans for resubmitted lots under exponentiated Fréchet distribution. International Journal of Computing Science and Mathematics, 10(1), 11-21.‏
[7] Wu, C. W., Shu, M. H., Nugroho, A. A., & Kurniati, N. (2015). A flexible process-capability-qualified resubmission-allowed acceptance sampling scheme. Computers & Industrial Engineering, 80, 62-71.‏
[8] Mahalingam, U., & Balamurali, S. (2019). Economic design of quick switching sampling system for resubmitted lots. Communications in Statistics-Theory and Methods, 48(16), 4019-4033.‏
[9] Fallahnezhad, M. S., & Yazdi, A. A. (2016). A new optimization model for designing acceptance sampling plan based on run length of conforming items. Journal of Industrial and Systems Engineering, 9(2), 67-87.
[10] Nezhad, M. S. F., Saredorahi, F. Z., Owlia, M. S., & Zad, M. A. V. (2018). Design of economically and statistically optimal sampling plans. Hacettepe Journal of Mathematics and Statistics, 47(3), 685-708.
[11] Soundararajan, V., & Christina, A. L. (1997). Selection of single sampling variables plans based on the minimum angle. Journal of Applied Statistics, 24(2), 207-218.
[12] Niaki, A., & Nezhad, F. (2012). A new markov chain based acceptance sampling policy via the minimum angle method. Iranian Journal of Operations Research, 3(1), 104-111.‏
[13] Pearn, W. L., & Lin, P. C. (2004). Testing process performance based on capability index Cpk with critical values. Computers & Industrial Engineering, 47(4), 351-369.‏
[14] Boyles, R. A. (1994). Process capability with asymmetric tolerances. Communications in Statistics-Simulation and Computation, 23(3), 615-635.
[15] Lee, J. C., Hung, H. N., Pearn, W. L., & Kueng, T. L. (2002). On the distribution of the estimated process yield index . Quality and Reliability Engineering International, 18(2), 111-116.
[16] Aslam, M., Wu, C. W., Azam, M., & Jun, C. H. (2013). Variable sampling inspection for resubmitted lots based on process capability index Cpk for normally distributed items. Applied Mathematical Modelling, 37(3), 667-675.
Journal of Quality Engineering and Management
Volume 9, Issue 4
Winter 2020
Pages 334-345

Home

Editorial Board

Indexing and Abstracting

Guide for Authors

Submit Manuscript

Reviewers

Contact Us