An optimal mixed policy of inspection and burn-in and the optimal production quantity

Abstract Inspection and burn-in are two techniques that are widely used by the vendor to screen out defective items in a production lot in order that an outgoing batch satisfies the purchaser's quality requirements. Due to two types of inspection errors and high cost of burn-in, how to make a trade-off between them is a challenge for the vendor. The main purpose of this paper is to deal with the problem of determining the optimal mixed policy of inspection and burn-in, where the average outgoing quality (AOQ) is used as a measure of inspection and burn-in success. More specifically, under the constraint that the outgoing batch meets an AOQ requirement, the following issues are determined to maximize the expected profit that the vendor makes: (a) the total number of items that the vendor needs to produce, (b) the number of items for inspection, the number of items for burn-in, and the number of items that need neither inspection nor burn-in, and (c) the optimal burn-in time if burn-in test is needed. Finally, an example is provided to illustrate the proposed method.

[1]  Helmut Schneider,et al.  Selection of the Optimal Inspection Precision Level for a Complete Inspection Plan , 1988 .

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

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

[4]  D. N. P. Murthy,et al.  Optimal Burn-in Time to Minimize Cost for Products Sold Under Warranty , 1982 .

[5]  Kwei Tang,et al.  Optimal inspection policy in sequential screening , 1991 .

[6]  Way Kuo,et al.  Facing the headaches of early failures: A state-of-the-art review of burn-in decisions , 1983 .

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

[8]  Jen Tang,et al.  Design of product specifications for multi-characteristic inspection , 1989 .

[9]  R. Vollertsen,et al.  Burn-In , 1999, 1999 IEEE International Integrated Reliability Workshop Final Report (Cat. No. 99TH8460).

[10]  A. Raouf,et al.  An optimal sequence in multicharacteristics inspection , 1990 .

[11]  Tzvi Raz,et al.  Location and sequencing of imperfect inspection operations in serial multi-stage production systems , 1991 .

[12]  Sheng-Tsaing Tseng,et al.  Optimal sequence of partial inspections subject to errors , 1994 .

[13]  A. Raouf,et al.  A Cost-Minimization Model for Multicharacteristic Component Inspection , 1983 .

[14]  Marc Lambrecht,et al.  The optimal frequency and sequencing of tests in the inspection of multicharacteristic components , 1997 .

[15]  Jie Mi.  BURN-IN AND MAINTENANCE POLICIES , 2008 .

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

[17]  Francisco Germán Badía,et al.  Optimal inspection and preventive maintenance of units with revealed and unrevealed failures , 2002, Reliab. Eng. Syst. Saf..

[18]  W. Meeker.  Accelerated Testing: Statistical Models, Test Plans, and Data Analyses , 1991 .

[19]  Helmut Schneider,et al.  Cost effectiveness of using a correlated variable in a complete inspection plan when inspection error is present , 1990 .

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

[21]  Hau L. Lee,et al.  On the optimality of a simplified multicharacteristic component inspection model , 1988 .

[22]  Chih-Hsiung Wang.  Integrated production and product inspection policy for a deteriorating production system , 2005 .

[23]  Menachem Dishon,et al.  Some Economic Problems Related to Burn-In Programs , 1971 .

[24]  John M. Cozzolino.  The optimal burn‐in testing of repairable equipment , 1970 .

[25]  Salih O. Duffuaa,et al.  Impact of inspection errors on the performance measures of a general repeat inspection plan , 2005 .

[26]  Tzvi Raz.  A Survey of Models for Allocating Inspection Effort in Multistage Production Systems , 1986 .

[27]  EITAN GREENSHTEIN,et al.  Double-stage inspection for screening multi-characteristic items , 1997 .

[28]  Dev S. Kochhar,et al.  Multiple Inspections to Meet Desired Outgoing Quality , 1987 .

[29]  Tzvi Raz,et al.  A Method for Sequencing Inspection Activities Subject to Errors , 1983 .

[30]  Jen Tang,et al.  Design of Screening Procedures: A Review , 1994 .