Quality control in a single state production system: open and closed loop policies

SUMMARY The output quality in a single state production system depends on the input quality and the machine state. The machine state deteriorates with production and affects output quality. The deterioration, and hence output quality can be controlled through proper maintenance actions. This paper formulates a model and examines optimal open and closed loop policies for carrying out such maintenance actions.

[1]  Lloyd A. Swanson,et al.  Inspector location in convergent production lines , 1985 .

[2]  Barnard E. Smith,et al.  A Learning Model for Processes with Tool Wear , 1968 .

[3]  R. E. Kalman,et al.  A New Approach to Linear Filtering and Prediction Problems , 2002 .

[4]  G. Barnard.  Control Charts and Stochastic Processes , 1959 .

[5]  Hau L. Lee,et al.  Warnings of Malfunction: The Decision to Inspect and Maintain Production Processes on Schedule or on Demand , 1987 .

[6]  William B. Widhelm,et al.  A Markovian Model for Processing Systems with Imperfect Review , 1976 .

[7]  Charles S. Tapiero,et al.  Quality control of the M/M/1 queue , 1987 .

[8]  Charles S. Tapiero,et al.  Production Learning and Quality Control , 1987 .

[9]  Iie Ann S. Marucheck Member,et al.  On Product Liability and Quality Control , 1987 .

[10]  G. Jenkins,et al.  Some Statistical Aspects of Adaptive Optimization and Control , 1962 .

[11]  Marek Lubicz.  On the problem of optimization of a quality inspection process structure , 1983 .

[12]  I. Richard Savage,et al.  A Production Model and Continuous Sampling Plan , 1959 .

[13]  Donald P. Ballou,et al.  DESIGNING INSPECTION STRATEGIES FOR UNCERTAIN ENVIRONMENTS , 1987 .

[14]  John C.S. Tang,et al.  Design of attribute control charts for multistage production systems-based on cost criteria , 1983 .

[15]  Helmut Schneider,et al.  Optimal control of a production process subject to AOQL constraint , 1988 .

[16]  Leon S. White,et al.  The Analysis of a Simple Class of Multistage Inspection Plans , 1966 .

[17]  Charles S. Tapiero,et al.  Quality control and the sales process , 1986 .

[18]  H. M. Taylor.  Markovian sequential replacement processes , 1965 .

[19]  Frederick S. Hillier,et al.  Continuous Sampling Plans under Destructive Testing , 1964 .

[20]  Gary D. Eppen,et al.  Optimal Location of Inspection Stations in a Multistage Production Process , 1974 .

[21]  Meir J. Rosenblatt,et al.  Economic Production Cycles with Imperfect Production Processes , 1986 .

[22]  Glenn F. Lindsay,et al.  Allocation of Screening Inspection Effort---A Dynamic-Programming Approach , 1964 .

[23]  Alberto Garcia-Diaz,et al.  Dynamic Programming Analysis of Special Multi-Stage Inspection Systems , 1984 .

[24]  Charles S. Tapiero,et al.  Manufacturing quality density, control and maintenance , 1987 .

[25]  M. A. Girshick,et al.  A BAYES APPROACH TO A QUALITY CONTROL MODEL , 1952 .

[26]  Bong Jin Yum,et al.  The Optional Allocation of Inspection Effort in a Class of Nonserial Production Systems , 1981 .

[27]  Charles S. Tapiero,et al.  Quality control by the optimal control of a discrete-state stochastic process , 1986 .

[28]  Isaac N. Gibra.  ECONOMIC DESIGN OF ATTRIBUTE CONTROL CHARTS FOR MULTIPLE ASSIGNABLE CAUSES , 1981 .

[29]  Willem L. De Koning,et al.  Optimal estimation of linear discrete-time systems with stochastic parameters , 1984, at - Automatisierungstechnik.

[30]  E. J. Strathie,et al.  Widhelm and Lessing Revisited: An Alternative Markovian Model for Processing Systems with Imperfect Review , 1981 .

[31]  R. Trippi.  The Warehouse Location Formulation as a Special Type of Inspection Problem , 1975 .

[32]  T. Kailath,et al.  An innovations approach to least-squares estimation--Part II: Linear smoothing in additive white noise , 1968 .

[33]  Charles S. Tapiero,et al.  Product Failures, Manufacturing Reliability And Quality Control: A Dynamic Framework , 1987 .

[34]  Bong Jin Yum,et al.  Optimal inspection policies in a serial production system including scrap rework and repair: an MILP approach , 1987 .

[35]  S. Ross.  Quality Control under Markovian Deterioration , 1971 .

[36]  Satish J. Kamat,et al.  A Smoothed Bayes Control Procedure for the Control of a Variable Quality Characteristic with Linear Shift , 1976 .

[37]  Phillip L. Carter.  A Bayesian Approach to Quality Control , 1972 .

[38]  Charles S. Tapiero,et al.  Quality control of an unreliable random FMS: with Bernoulli and CSP sampling , 1988 .

[39]  P. K. Banerjee,et al.  Selection of the Most Economical Production Plan in a Tool-Wear Process , 1985 .

[40]  J. T. Ross Jackson,et al.  A Dynamic Programming Application in Production Line Inspection , 1967 .

[41]  Charles S. Tapiero,et al.  Reliability, pricing and quality control , 1987 .

[42]  Michael H. Peters,et al.  Economic Design of Quality Monitoring Efforts for Multi-Stage Production Systems , 1987 .

[43]  J. Bather.  Control Charts and the Minimization of Costs , 1963 .

[44]  M. Srinath,et al.  Optimum Linear Estimation of Stochastic Signals in the Presence of Multiplicative Noise , 1971, IEEE Transactions on Aerospace and Electronic Systems.

[45]  P. K. Banerjee,et al.  Optimal production run for a process with random linear drift , 1988 .

[46]  Evan L. Porteus.  Optimal Lot Sizing, Process Quality Improvement and Setup Cost Reduction , 1986, Oper. Res..

[47]  S. Christian Albright,et al.  A Bayesian approach to the optimal control of continuous industrial processes , 1977 .

[48]  George Tagaras.  An Integrated Cost Model for the Joint Optimization of Process Control and Maintenance , 1988 .

[49]  Charles H. Fine.  Quality Improvement and Learning in Productive Systems , 1986 .

[50]  Robert R. Britney,et al.  Optimal Screening Plans for Nonserial Production Systems , 1972 .

[51]  Acheson J. Duncan.  The Economic Design of p-Charts to Maintain Current Control of o Process: Some Numerical Results , 1978 .

[52]  H. F. Dodge.  A Sampling Inspection Plan for Continuous Production , 1943, Journal of Fluids Engineering.

[53]  Robert R. Trippi.  An On-Line Computational Model for Inspection Resource Allocation , 1974 .

[54]  M. S. Phadke.  Quality evaluation plan using adaptive Kalman filtering , 1982, The Bell System Technical Journal.

[55]  F. J. Arcelus,et al.  Optimal Production Run for a Normally Distributed Quality Characteristic Exhibiting Non-Negative Shifts in Process Mean and Variance , 1982 .

[56]  Thomas W. Knowles,et al.  An Optimal Quality Control Design for a Single-Product Serial Manufacturing System , 1979 .