• Title/Summary/Keyword: sampling cost

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A Study on the Rectifying Inspection Plan & Life Test Sampling Plan Considering Cost (소비자 보호를 위한 선별형 샘플링 검사와 신뢰성 샘플링 검사의 최적설계에 관한 연구)

  • 강보철;조재립
    • Journal of Korean Society for Quality Management
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    • v.30 no.1
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    • pp.74-96
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    • 2002
  • The objectives of this study is to suggest the rectifying sampling inspection plan considering quality cost. Limiting quality level(LQL) plans(also called LTPD plans) and outgoing quality(OQ) plans are considered. The Hald's linear cost model is discussed with and without a beta prior for the distribution of the fraction of nonconforming items in a lot. It is assumed that the sampling inspection is error free. We consider the design of reliability acceptance sampling plan (RASP) for failure rate level qualification at selected confidence level. The lifetime distribution of products is assumed to be exponential. MIL-STD-690C and K C 6032 standards provide this procedures. But these procedures have some questions to apply in the field. The cost of test and confidence level(1-$\beta$ risk) are the problem between supplier and user. So, we suggest that the optimal life test sampling inspection plans using simple linear cost model considering product cost, capability of environment chamber, environmental test cost, and etc. Especially, we consider a reliability of lots that contain some nonconforming items. In this case we assumed that a nonconforming item fail after environmental life test. Finally, we develope the algorithm of the optimal sampling inspection plan based on minimum costs for rectifying inspection and RASP. And computer application programs are developed So, it is shown how the desired sampling plan can be easily found.

A Study on the Economical Design of Sampling Plan for Rectifying Inspection by Attribute (계수(計數) 선별형검사(選別型檢査) 설계(設計)의 경제성(經濟性)에 관한 연구(硏究))

  • Kim, Yun-Seon;Hwang, Ui-Cheol
    • Journal of Korean Society for Quality Management
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    • v.9 no.1
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    • pp.40-45
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    • 1981
  • This paper deals with an economical sampling plan, recently being concentrated on and, namely, investigates how to determine the basic concepts to settle the sampling plan of a minimum cost. On an inspection of sampling, a Linear Cost Model of a cost function which is concerned with the representative cost dements, is established and by the investigation of its possible solution economical single sampling plan for recitying inspection by attribute is suggested.

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A Study on the Determination of a Minimum Cost Sampling Inspection Plan for Destructive Testing (파괴검사(破壞檢査)에 있어서의 최소비용(最少費用) 샘플링 검사방식(檢査方式)의 결정(決定)에 관한 연구(硏究) - 계수파괴(計數破壞) 1회검사(回檢査)를 중심(中心)으로 -)

  • Hwang, Ui-Cheol;Jeong, Yeong-Bae
    • Journal of Korean Society for Quality Management
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    • v.8 no.2
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    • pp.15-22
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    • 1980
  • This paper deals with the problem of determining a minimum cost sampling inspection plan for a single destructive testing by attribute. The cost for inspection lot is constructed by following three cost factors: (1) cost of inspection, (2) cost of accepted defective, (3) cost of rejected lot Using Hald's Bayesian approach in a single non-destructive testing, procedure's for finding the minimum cost single destructive sampling inspection plan by attribute are given. Assuming the uniform distribution as a prior-distribution and using numerical analysis by computer, a minimum cost single destructive sampling inspection plan by attribute for several lot sizes, unit cost, destructive testing cost, and salvage cost is given.

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Design of a Life Test Sampling Plan Based on the Cost Model

  • Kwon, Young-Il
    • International Journal of Reliability and Applications
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    • v.6 no.1
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    • pp.31-39
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    • 2005
  • An economic life test sampling plan for products with exponential lifetime distribution is developed. To reduce test time, a test plan with curtailed Type II censoring is considered. A cost model is constructed which involves three cost components; test cost, accept cost, and reject cost. Determination of optimal plan minimizing the expected average cost per lot is discussed with a constraint related to consumer's risk. Some numerical examples are provided.

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Rectifying Inspection of Linear Cost Model with a Constraint and a $\alpha$-Optimal Acceptance Sampling (제약조건과 사전확률이 고려된 선형비용모형의 수정검사정책)

  • 이도경;이근희
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.14 no.24
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    • pp.1-5
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    • 1991
  • Various linear cost models have been proposed that can be used to determine a sampling plan by attributes. This paper is concerned with this sampling cost model when the probability that the number of nonconforming item is smaller than the break-even quality level is known. In addition to this situation, a constraint by AOQL is considered. Under these conditions, optimal sampling plan which minimize the average cost per lot is suggested.

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A Comparative Case Study on Sampling Methods for Cost-Effective Forest Inventory: Focused on Random, Systematic and Line Sampling (비용 효율적 표준지 조사를 위한 표본추출방법 비교 사례연구: 임의추출법, 계통추출법, 선상추출법을 중심으로)

  • Park, Joowon;Cho, Seungwan;Kim, Dong-geun;Jung, Geonhwi;Kim, Bomi;Woo, Heesung
    • Journal of Korean Society of Forest Science
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    • v.109 no.3
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    • pp.291-299
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    • 2020
  • The purpose of this study was to propose the most cost-effective sampling method, by analyzing the cost of forest resource investigation per sampling method for the planned harvesting area of in Chunyang-myeon, Byeonghwa-gun, Gyeongsangbuk-do, Korea. For this study, three sampling methods were selected: random sampling method, systematic sampling method, and line transect method. For each method, sample size, hourly wage, number of sample points, survey time, travel time, the sample error rate of the estimated average volume, and the desired sampling error rate were used to calculate the cost of forest resource inventories. Thus, 10 sampling points were extracted for each sampling method, and the factors required for cost analysis were calculated via a field survey. As a result, the field survey cost per ha using the random sampling method was found to be have the lowest cost, regardless of the desired sampling error rate, followed by the systematic sampling method, and the line transect method.

Design of the Variable Sampling Rates X-chart with Average Time to Signal Adjusted by the Sampling Cost

  • Park, Chang-Soon;Song, Moon-Sup
    • Journal of the Korean Statistical Society
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    • v.26 no.2
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    • pp.181-198
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    • 1997
  • The variable sampling rates scheme is proposed by taking random sample size and sampling interval during the process. The performance of the scheme is measured in terms of the average time to signal adjusted by teh sampling cost when the process is out of control. This measurement evaluates the effectiveness of the scheme in terms of the cost incurred due to nonconformation as well as sampling. The variable sampling rates scheme is shown to be effective especially for small and moderate shifts of the mean when compared to the standard scheme.

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The Study on the Failure Rate Sampling Plan Considering Cost (비용을 고려한 신뢰성 샘플링검사 설계에 관한 연구)

  • 조재립
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.23 no.59
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    • pp.97-103
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    • 2000
  • This study considers the design of life test sampling inspection plans by attributes for failure rate level qualification at selected confidence level. The lifetime distribution of products is assumed to be exponential. MIL-STD-690C and KS C 6032 standards provide this procedures. But these procedures have some questions to apply in the field. The cost of test and confidence level($1-{\beta}$ risk) are the problem between supplier and user. So, we suggest that the optimal life test sampling inspection plans using expected cost model considering product cost, capability, environmental test cost, etc.

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An Economic Life Test Sampling Plan for Repairable Products with Exponential Interfailure Time Distribution

  • Kwon, Young Il
    • Journal of Korean Society for Quality Management
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    • v.21 no.1
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    • pp.108-120
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    • 1993
  • In this article an economic life test sampling plan is considered for repairable products when the products in each lot have the same interfailure time distribution, but the mean time between failure (MTBF) of a lot varies from lot to lot according to a known prior distribution. A cost model is constructed which consists of test cost, accept cost, and reject cost. Determination of the optimal plan which minimizes the expected average cost per lot is discussed. Numerical examples are presented to illustrate the use of the proposed sampling plans and sensitivity analyses for parameters of the prior distribution are performed.

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Multistage Point and Confidence Interval Estimation of the Shape Parameter of Pareto Distribution

  • Hamdy, H.I.;Son, M.S.;Gharraph, M.K.;Rashad, A.M.
    • Communications for Statistical Applications and Methods
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    • v.10 no.3
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    • pp.1069-1086
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    • 2003
  • This article presents the asymptotic theory of triple sampling procedure as pertain to estimating the shape parameter of Pareto distribution. Both point and confidence interval estimation are considered within the same inference unified framework. We show that this group sampling technique possesses the efficiency of Anscome (1953), Chow and Robbins (1965) purely sequential procedure as well as reduce the number of sampling operations by utilizing Stein (1945) two stages procedure. The analysis reveals that the technique performs excellent as far as the accuracy is concerned. The present problem differs from those considered by many authors, in multistage sampling, in that the final stage sample size and the parameter's estimate become highly correlated and therefore we adopted different approach.