Economic control and inspection policies for high-speed unreliable production systems

In this paper, we consider a high-speed production process, which produces defects at a known rate while in control. When the process goes out of control, it produces defects at a higher rate. In this study, we revisit the role of the distribution of the process in-control time when managing such systems. Specifically, we focus on two management schemes, a control policy and an inspection policy. In the control policy, when the number of defects produced reaches a threshold, the process is stopped and inspected. In contrast, in the inspection policy, the process is stopped and inspected periodically. We derive the operating characteristics of the system and devise schemes for finding the optimal policy parameters for each policy. We also investigate the behavior of the optimal policy parameters, compare the performances of the control and inspection policies and identify the environments in which each of these policies out performs the other one using a numerical experiment. Contributed by the Supply Chains/Production-Inventory Systems Department

[1]  D. F. Hays,et al.  Table of Integrals, Series, and Products , 1966 .

[2]  W. K. Chiu,et al.  The Economic Design of Cusum Charts for Controlling Normal Means , 1974 .

[3]  A. Schonecker,et al.  Ribbon-growth-on-substrate: Progress in high-speed crystalline silicon wafer manufacturing , 2002, Conference Record of the Twenty-Ninth IEEE Photovoltaic Specialists Conference, 2002..

[4]  Lonnie C. Vance,et al.  The Economic Design of Control Charts: A Unified Approach , 1986 .

[5]  A. Goel,et al.  Economically Optimum Design of Cusum Charts , 1973 .

[6]  Louis A. Schmittroth,et al.  Numerical inversion of Laplace transforms , 1960, Commun. ACM.

[7]  I. G. MacKenzie,et al.  Stochastic Processes with Applications , 1992 .

[8]  P. W. Gold In-process quality monitoring for the high speed high volume manufacturing environment , 1993, Proceedings of IECON '93 - 19th Annual Conference of IEEE Industrial Electronics.

[9]  A. J. Jerri Introduction to Integral Equations With Applications , 1985 .

[10]  Edward Carlstein,et al.  Change-point problems , 1994 .

[11]  이진우 A numerical inversion of Laplace transforms , 2003 .

[12]  Kevin W Linderman,et al.  Economic and Economic Statistical Designs for MEWMA Control Charts , 2000 .

[13]  Kamran Moinzadeh,et al.  Measuring the impact of a delay buffer on quality costs with an unreliable production process , 1995 .

[14]  Kamran Moinzadeh,et al.  Analysis of maintenance policies for M machines with deteriorating performance , 2000 .

[15]  Daniel A. Schoch CRITICAL FACTORS FOR ACHIEVEMENT OF SUCCESSFUL HIGH SPEED METAL FORMING PRODUCTION , 1994 .

[16]  Milton Abramowitz,et al.  Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .

[17]  Paul King,et al.  High speed print registration and colour quality control , 1995 .

[18]  Meng-Hua Ye Optimal replacement policy with stochastic maintenance and operation costs , 1990 .

[19]  Jacco C. Noordam,et al.  High-speed potato grading and quality inspection based on a color vision system , 2000, Electronic Imaging.

[20]  Meir J. Rosenblatt,et al.  Simultaneous determination of production cycle and inspection schedules in a production system , 1987 .

[21]  F. G. Badía,et al.  Optimization of inspection intervals based on cost , 2001, Journal of Applied Probability.

[22]  Acheson J. Duncan,et al.  The Economic Design of X Charts Used to Maintain Current Control of a Process , 1956 .

[23]  T. McWilliams Economic Control Chart Designs and the In-Control Time Distribution: A Sensitivity Study , 1989 .