Ahmad Ahmadi YAZDI, Mohammad Saber Fallah NEZHAD

An optimization model for designing acceptancesampling plan based on cumulative count ofconforming run length using minimum anglemethod

The purpose of this article is to present an acceptance sampling planbased on cumulative count of conforming using minimum angle method.In this plan, if the number of inspected items until rthdefective itemsis greater than an upper control threshold then lot is accepted and if itis less than a lower control threshold then the lot is rejected and if it isbetween control thresholds, process of inspecting the items continues.To design this model, we considered some important concepts like number of inspected items until rthnonconforming item in inspection, firstand second type of error, average number inspected (AN I), AQL andLQL. Also derivative of (AN I) function in point AQL is used for optimization. The objective function of this model was constructed basedon minimum angle method. Also a comparison study is carried out toevaluate the performance of proposed methodology in 50 different datasets

PDF

___

Bush, N. and Leonard, E. J. and Marchan, JR, M. Q. M. A method of discrimination for single and double sampling OC curves utilizing the tangent at the point of inflection, Chemical Corps Engineering Agency, USA, 1953.
Bourke PD. a shift in fraction nonconforming using run-length control charts with 100% inspection, of Quality Technology 23, 225-238, 1991.
Bowling, SR. and Khasawneh, MT. and Kaewkuekool, S. Cho. BR. A Markovian approach to determining optimum process target levels for a multi-stage serial production system, European Journal of Operational Research 159, 636-650, 2004.
Calvin, TW. Quality control techniques for zero-defects, IEEE Transactions on Components, Hybrids, and Manufacturing Technology 6, 323-328, 1983.
Chan, L.Y., Lin, D.K.J., Xie, M. and Goh, T.N. Cumulative probability control charts for geometric and exponential process characteristics, International Journal of Production Research 40 (1), 133-150, 2002.
Di Bucchianico, A., Mooiweer, G.D. and Moonen, E.J.G. Monitoring Infrequent Failures of High-volume Production Processes, Quality and Reliability Engineering International 21 (5), 521-528, 2005.
Fallahnezhad M.S. A new Markov Chain Based Acceptance Sampling Policy via the Mini- mum Angle Method, Journal of Operations Research 3 (1), 104-111, 2012.
Fallahnezhad M.S. and Hosseini Nasab H. Designing a Single Stage Acceptance Sampling Plan based on the control Threshold policy, International Journal of Industrial Engineering and Production Research 22 (3), 143-150, 2011.
Fallahnezhad M.S., Niaki, S.T.A. and Abooie, M.H. A New Acceptance Sampling Plan Based on Cumulative Sums of Conforming Run-Lengths, Journal of Industrial and Systems Engineering 4 (4), 256-264, 2011.
Fallahnezhad M.S., Niaki, S.T.A. and Vahdat Zad, M.A. A New Acceptance Sampling Design Using Bayesian Modeling and Backwards Induction, International Journal of Engineering, Islamic Republic of Iran 25 (1), 45-54, 2012.
Fallahnezhad M.S. and Niaki, S.T.A. A New Acceptance Sampling Policy Based on Number of Successive Conforming Items, Communications in Statistics-Theory and Methods 42 (8), 1542-1552, 2013.
Goh T.N. A charting technique for control of low-nonconformity production, International Journal of Quality and Reliability Management 5, 53-62, 1987.
Jung-Tai, C. Design of cumulative count of conforming charts for high yield processes based on average number of items inspected, International Journal of Quality and Reliability Man- agement 30 (9), 942-957, 2013.
Chan, L.Y., Lai, C.D., Xie, M. and Goh, T.N. A two-stage decision procedure for monitoring processes with low fraction nonconforming, European Journal of Operational Research 150, 420-436, 2003. [15] Lai, C.D. The Recurrent Event Process of a Success Preceded by a Failure and its Applica- tion, Journal of Applied Mathematics and Decision Sciences 1 (2), 101-117, 1997.
Soundararajan V. and Christina A.L. Selection of single sampling variables plans based on the minimum angle, Journal of Applied Statistics 24 (2), 207-218, 1997.
Wu, Z., Zhang, X. and Yeo, S.H. Design of the sum-of-conforming-run-length control charts, Model Assisted Statistics and Applications 132 (1), 187-196, 2001.
Xie, M. and Goh, T.N. Some procedures for decision making in controlling high yield pro- cesses, Quality and Reliability Engineering International 8, 355-360, 1992.

Hacettepe Journal of Mathematics and Statistics-Cover

Yayın Aralığı: Yılda 6 Sayı
Başlangıç: 2002
Yayıncı: Hacettepe Üniversitesi Fen Fakultesi

Arşiv