• Journal of Korean Society of Industrial and Systems Engineering
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• v.20 no.41
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• pp.147-156
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• 1997

This Study deals with the problem of determining a minimum cost sampling inspection plan for destructive testing by attribute. The linear cost model(LCM) is constructed under the assumption that unit cost, destructive testing cost, producer's risk cost, consumer's risk cost are given. For the solution from the LCM, we assumed the uniform distribution as a prior distribution.

• Journal of Korean Society for Quality Management
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• v.20 no.1
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• pp.48-58
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• 1992

This paper deals with a test procedures on reliablity using hybrid censoring when failure time follows two parameter Weibull distribution. In each case of single and two stage test with hybrid censoring, we construct a operating characteristic curve, and then obtain the censoring number and sample size which the producer's risk and the consumer's risk are both satisfied. This study suggests to determine the expected waiting time at a decision.

• Journal of Korean Institute of Industrial Engineers
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• v.11 no.2
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• pp.11-18
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• 1985

Three types of warranty policies are considered. They are (1) free warranty policy for repairable products, (2) free warranty policy for nonrepairable products, and (3) rebate warranty policy. Under each warranty policy, a single sampling attribute plan with non-destructive testing is considered. A sampling plan is characterized by the sample size and the acceptance number. For each case, characteristics of an optimum sampling plan are discussed and determined, which minimize the warranty cost and the corresponding quality control cost within the assigned producer's risk and consumer's risk.

• Journal of Korean Society for Quality Management
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• v.15 no.1
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• pp.68-75
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• 1987

A rectifying inspection plan is considered for the case of destructive testing. Screening inspection for rejected lots is performed by some nondestructive testing which is prone to misclassification errors. Apparent defectives found in the screening process is replaced with apparent good items. The plan provides LTPD protection on each individual lot while the sum of the cost of testing and the cost due to producer's risk at process average quality is minimized. A brief discussion on average outgoing quality is also given.

• Journal of Korean Society for Quality Management
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• v.34 no.1
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• pp.20-26
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• 2006

In the fields of mechanical reliability application, "zero" or "zero or one" failure tests are most commonly used for demonstrating reliability of a product since they reduce test duration and/or sample size compared to other test methods that guarantees the same reliability of a product with a given confidence level or consumer's risk. The test duration of the "zero or one" failure test is longer than that of "zero" failure test but it has advantage of smaller producer's risk. In this paper a two-stage test is developed that compromises the "zero" and "zero or one" failure tests. The properties of the proposed two-stage test are investigated and the three test methods are compared using a numerical example.

• Journal of Korean Society of Industrial and Systems Engineering
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• v.21 no.45
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• pp.319-328
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• 1998

In this paper, the design of ALT(Accelerated Life Test) requires a sampling plan based on failure-censored(Type II censored) ALT with lognormal life distribution. Specially the environmental effect of products has been emphasized, so we considered the upper life limit as well as lower life limit in the ALT sampling plan. The optimal plan with a high stress and a low stress is used as test plan, and the total sample size for test and lot acceptability constant which minimize an asymptotic variance of maximum likelihood estimator of assumed model parameters and satisfy the given producer's risk and customer's risk are drawn out. These values can be acquired by means of the computer program that we coded for resolving the difficulty and complexity of calculation.

• Journal of Korean Society for Quality Management
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• v.49 no.3
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• pp.299-312
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• 2021

Purpose: We provide a condition-based maintenance policy where a surrogate variable is used for monitoring system performance. We constructed a risk function by taking into account the risk and losses accompanied with erroneous decisions. Methods: Assuming a unique degradation process for the performance variable and its specific relationship with the surrogate variable, the maintenance policy is determined. A risk function is developed on the basis of producer's and consumer's risks accompanied with each decision. With a strategic safety factor considered, the optimal threshold value for the surrogate variable is determined based on the risk function. Results: The condition-based maintenance is analyzed from the point of risk. With an assumed safety consideration, the optimal threshold value of the surrogate variable is provided for taking a maintenance action. The optimal solution cannot be obtained in a closed form. An illustrative numerical example and solution is provided with a source code of R program. Conclusion: The study can be applied to situation where a sensor signal is issued if the system performance begins to degrade gradually and reaches eventually its functional failure. The study can be extended to the case where two or more performance variables are connected to a same surrogate variable. Also estimation of the distribution parameters and risk coefficients should be further studied.

• Journal of Korean Institute of Industrial Engineers
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• v.30 no.3
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• pp.205-212
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• 2004

This paper proposes the variables repetitive group sampling plan where the quality characteristic following normal distribution has upper or lower specification limit. The problem is formulated as a non-linear programming problem where the objective function to minimize is the average sample number and the constraints are related to lot acceptance probabilities at acceptable quality level (AQL) and limiting quality level (LQL) under the operating characteristic curve. Sampling plan tables are constructed for the selection of parameters indexed by AQL and LQL in the cases of known standard deviation and unknown standard deviation. It is shown that the proposed sampling plan significantly reduces the average sample number as compared with the single or the double sampling plan.

• Journal of Korean Society for Quality Management
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• v.23 no.4
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• pp.13-27
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• 1995

This paper considers the design of life test sampling plans based on Type II censored accelerated life tests. The lifetime distribution of products is assumed to be exponential. An estimator of acceleration factor between use condition stress and an accelerated level of stress higher than use condition stress is assumed to be known. The critical value for lot acceptance and the number of failure before censoring which satisfy the producer's and consumer's risk requirements are determined. The properties of the proposed life test sampling plans are investigated.

• Journal of Korean Society for Geospatial Information Science
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• v.3 no.1 s.5
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• pp.123-137
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• 1995

The digital information of Land is very important as the basis of geo-spatial information system. And the necessity of it is also increasing. But these days, every other institute that is needing digital map is seperately digitalizing lsnd information. So we need the stadard of accuracy evaluation and the method of hypothesis test for it. In this study, we check the standards of foreign countries and compare and analyze with our country's. After doing it, we suggest the direction for standard of digital map and statistical methods for testing accuracy evaluation about total maps that is digitized. Using hypergeometric distribution for considering consumer risk and producer risk, the statistical test can be for deciding optimal sampling map numbers by the total map and the agreement of contacting parties.