An Integrating Control Scheme of CSP-T and Spk under the Quality and Cost Constraints

doi:10.3969/j.issn.1007-7375.2020.03.020

Abstract

Abstract: Multiple level continuous sampling plan (CSP-T) is an on-line process quality control tool. The type I risk and type II risk are both high and the cost constraint cannot be satisfied in CSP-T. An integrating control scheme between CSP-T and S_pk is proposed, which can meet quality constraint, being carried out with the least cost and controlling the two types of risk at the given level. The optimal CSP-T plan, driven by the attribute characteristics of the sample, is constructed under the quality and cost constraints. The risk control scheme is presented based on the accurate distribution of the estimation of the process yield index (S_pk). The two types of risk can be controlled at the given levels for the stipulated quality and cost constraints. The quality control scheme and the risk control scheme work independently and complementarily. The inspection workload is not increased compared with the traditional CSP-T plan. The feasibility and effectiveness of the proposed scheme are verified by an enterprise case.

Key words: process control, continuous sampling plan, process yield index, cost constraint, quality constraint

CLC Number:

TH165+.4

LI Chunzhi, GAN Weihua, YAN Wei'an. An Integrating Control Scheme of CSP-T and S_pk under the Quality and Cost Constraints[J]. Industrial Engineering Journal, 2020, 23(3): 154-163.

References

[1] 柴天佑. 工业过程控制系统研究现状与发展方向[J]. 中国科学: 信息科学, 2016, 46(8): 1003-1015
CHAI Tianyou. Industrial process control systems: research status and development direction[J]. SCIENTIA SINICA Informationis, 2016, 46(8): 1003-1015
[2] GB/T 8052-2002. 单水平和多水平计数连续抽样检验程序及表[S]. 北京: 中国标准出版社, 2002.
[3] BOYLES R A. Process capability with asymmetric tolerances[J]. Communications in Statistics-Simulation and Computation, 1994, 23(3): 615-635
[4] PERAKIS M, XEKALAKI E. On the relationship between process capability indices and the proportion of conformance[J]. Quality Technology and Quantitative Management, 2016, 13(2): 1-14
[5] 彭苑茹, 刘勤明, 吕文元, 等. 基于故障状态演化的租赁设备定周期多维护策略研究[J]. 工业工程, 2018, 21(5): 61-67
PENG Yuanru, LIU Qinming, LYU Wenyuan, et al. A research on periodic multi-maintenance strategy of leased equipment based on failure state evolution[J]. Industrial Engineering Journal, 2018, 21(5): 61-67
[6] 陈洪根. 预防维修和VSS EWMA方差控制图联合经济决策模型[J]. 系统工程理论与实践, 2018, 38(5): 1236-1248
CHEN Honggen. Joint economic decision-making model of preventive maintenance and VSS EWMA variance control chart[J]. Systems Engineering - Theory & Practice, 2018, 38(5): 1236-1248
[7] 娄璐, 李艳婷. 面向未知自相关过程的Bootstrap控制图设计[J]. 工业工程, 2018, 21(4): 23-33
LOU Lu, LI Yanting. Bootstrap-based control chart design for unknown autocorrelated processes[J]. Industrial Engineering Journal, 2018, 21(4): 23-33
[8] CASSADY C R, MAILLART L M, REHMERT I J, et al. Demonstrating Deming's kp rule using an economic model of the CSP-1[J]. Quality Engineering, 2000, 12(3): 327-334
[9] HAJI A, HAJI R. The optimal policy for a sampling plan in continuous production in terms of the clearance number[J]. Computers & Industrial Engineering, 2004, 47(2): 141-147
[10] ELEFTHERIOU M, FARMAKIS N. Expected cost for continuous sampling plans[J]. Communication in Statistics - Theory and Methods, 2011, 40(16): 2969-2984
[11] BOUSLAH B, GHARBI A, PELLERIN R. Integrated production, sampling quality control and maintenance of deteriorating production systems with AOQL constraint[J]. Omega, 2016, 61(4): 110-126
[12] LI C Z, TONG S R, WANG K Q, et al. Optimal CSP-1 boundary scheme based on the estimator of the proportion of conformance for specified in control process[J]. Quality Technology and Quantitative Management, 2020, 17(1): 32-51
[13] WU C W, LIU S W. Developing a sampling plan by variables inspection for controlling lot fraction of defectives[J]. Applied Mathematical Modelling, 2014, 38(9-10): 2303-2310
[14] LEE J C, HUNG H N, PEARN W L, et al. On the distribution of the estimated process yield index Spk[J]. Quality and Reliability Engineering International, 2002, 18: 111-116
[15] PERAKIS M, XEKALAKI E. Assessing the proportion of conformance of a process from a bayesian perspective[J]. Quality and Reliability Engineering International, 2015, 31(3): 381-387
[16] 李春芝, 同淑荣, 王克勤. 面向稳态过程的基于合格品率估计的最优CSP-T边界方案[J]. 制造业自动化, 2018, 40(2): 5-10, 18
LI Chunzhi, TONG Shurong, WANG Keqin. Optimal CSP-T boundary scheme based on the estimator of the proportion of conformance for an in-control process[J]. Manufacturing Automation, 2018, 40(2): 5-10, 18

An Integrating Control Scheme of CSP-T and S_pk under the Quality and Cost Constraints

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