• Title/Summary/Keyword: Optimal Sampling

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A Batch Sequential Sampling Scheme for Estimating the Reliability of a Series/Parallel System

  • Enaya, T.;Rekab, L.;Tadj, L.
    • International Journal of Reliability and Applications
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    • v.11 no.1
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    • pp.17-22
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    • 2010
  • It is desired to estimate the reliability of a system that has two subsystems connected in series where each subsystem has two components connected in parallel. A batch sequential sampling scheme is introduced. It is shown that the batch sequential sampling scheme is asymptotically optimal as the total number of units goes to infinity. Numerical comparisons indicate that the batch sequential sampling scheme performs better than the balanced sampling scheme and is nearly optimal.

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A Optimal Cluster Size in Stratified Two-Stage Cluster Sampling (층화 2-단 표본 추출시 최적 집락의 크기 결정)

  • 신민웅;신기일
    • The Korean Journal of Applied Statistics
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    • v.13 no.2
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    • pp.207-224
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    • 2000
  • Generally cluster size is predetermined when we use the stratified two-stage cluster sampling But in case that the sizes of clusters vary greatly one may want to make the sizes to be about equal. In this paper we study the optimal cluster size in stratified twostage cluster sampling. Also we find the optimal primary sampling unit sizes and optimal secondary sampling unit sizes under the given cost restriction.

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A Case study of an optimal design with structured sampling and simulation

  • Park, Hongjoon;Youngcook Jun
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.46.4-46
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    • 2002
  • This study was motivated how it might be possible to validate structured sampling with orthogonal array for optimal design of a pin. The Taguchi method by orthogonal array, one of the structured sampling methods, has much advantage that is row cost and time saving for experiments. But this method has been applied in limited areas especially for mechanical problems. In this study, we experimented whether the structured sampling is useful for applying optimal design of mechanical elements. For the experiment, we first set up a mechanical problem which was related to determining optimal parameters associated a pin's crack occurred inside a hole. We, then, calculated combination of...

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Bayesian Multiattribute Acceptance Sampling Plans under Curtailed Inspection (베이지안 다특성(多特性) 단축(短縮) 샘플링 검사 방식의 설계)

  • Lee, Jong Seong
    • Journal of Industrial Technology
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    • v.9
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    • pp.51-56
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    • 1989
  • A methodology for determining optimal sampling plans for Bayesian multiattribute curtailed inspection models is proposed, whereby sampling inspection is terminated as soon as the disposition of the inspection lot is determined. An iterative solution procedure is developed for obtaining optimal multiattribute acceptance sampling plans under cuntailed sampling inspection.

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Quantile estimation using near optimal unbalanced ranked set sampling

  • Nautiyal, Raman;Tiwari, Neeraj;Chandra, Girish
    • Communications for Statistical Applications and Methods
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    • v.28 no.6
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    • pp.643-653
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    • 2021
  • Few studies are found in literature on estimation of population quantiles using the method of ranked set sampling (RSS). The optimal RSS strategy is to select observations with at most two fixed rank order statistics from different ranked sets. In this paper, a near optimal unbalanced RSS model for estimating pth(0 < p < 1) population quantile is proposed. Main advantage of this model is to use each rank order statistics and is distributionfree. The asymptotic relative efficiency (ARE) for balanced RSS, unbalanced optimal and proposed near-optimal methods are computed for different values of p. We also compared these AREs with respect to simple random sampling. The results show that proposed unbalanced RSS performs uniformly better than balanced RSS for all set sizes and is very close to the optimal RSS for large set sizes. For the practical utility, the near optimal unbalanced RSS is recommended for estimating the quantiles.

Hybrid Group-Sequential Conditional-Bayes Approaches to the Double Sampling Plans

  • Seong-gon Ko
    • Communications for Statistical Applications and Methods
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    • v.5 no.1
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    • pp.107-120
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    • 1998
  • This research aims here to develop a certain extended double sampling plan, EDS, which is an extension of ordinary double sampling plan in the sense that the second-stage sampling effort and second-stage critical value are allowed to depend on the point at which the first-stage continuation region is traversed. For purpose of comparison, single sampling plan, optimal ordinary double sampling plan(ODS) and sequential probability ratio test are considered with the same overall error rates, respectively. It is observed that the EDS idea allows less sampling effort than the optimal ODS.

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An accelerated sequential sampling for estimating the reliability of N-parallel systems

  • Rekab, Kamel;Cheng, Yuan
    • International Journal of Reliability and Applications
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    • v.14 no.2
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    • pp.71-78
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    • 2013
  • The problem of designing an experiment to estimate the reliability of a system that has N subsystems connected in series where each subsystem n has n $T_n$ components connected in parallel is investigated both theoretically and by simulation. An accelerated sampling sheme is introduced. It is shown that the accelerated sampling scheme is asymptotically optimal as the total number of units goes to infinity. Numerical comparisons for a system that has two subsystems connected in series where each subsystem has two components connected in parallel are also given. They indicate that the accelerated sampling scheme performs better than the batch sequential sampling scheme and is nearly optimal.

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A Study on Determining of Job Sequence by Work Sampling(I) (W.S법에 의한 JOB SEQUENCE의 결정(I))

  • 강성수;노인규
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.11 no.18
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    • pp.59-69
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    • 1988
  • This study represents the method of application of W.S(Work Sampling) to determine job sequence. The result shows job sequence which has the came performance measure of optimal job sequence is selected by average number of 199 sampling. In the case, the optimal job sequence is not selected within the sampling number of 921 which satisfy the reliability of 99.5% and precision of 99%, the deviation is very little which 0.73%. This improves the possibility of application of W.S method to select optimal job sequence is very high.

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Stochastic Optimal Control and Network Co-Design for Networked Control Systems

  • Ji, Kun;Kim, Won-Jong
    • International Journal of Control, Automation, and Systems
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    • v.5 no.5
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    • pp.515-525
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    • 2007
  • In this paper, we develop a co-design methodology of stochastic optimal controllers and network parameters that optimizes the overall quality of control (QoC) in networked control systems (NCSs). A new dynamic model for NCSs is provided. The relationship between the system stability and performance and the sampling frequency is investigated, and the analysis of co-design of control and network parameters is presented to determine the working range of the sampling frequency in an NCS. This optimal sampling frequency range is derived based on the system dynamics and the network characteristics such as data rate, time-delay upper bound, data-packet size, and device processing time. With the optimal sampling frequency, stochastic optimal controllers are designed to improve the overall QoC in an NCS. This co-design methodology is a useful rule of thumb to choose the network and control parameters for NCS implementation. The feasibility and effectiveness of this co-design methodology is verified experimentally by our NCS test bed, a ball magnetic-levitation (maglev) system.

Optimal designing of skip lot sampling plan of type SkSP-2 with double sampling plan as the reference plan under generalized exponential distribution

  • Suresh, K.K.;Kavithamani, M.
    • International Journal of Reliability and Applications
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    • v.15 no.2
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    • pp.77-84
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    • 2014
  • In this paper, a optimal designing methodology is proposed to determine the parameters for skip-lot sampling plan of type SkSP-2 plan with double sampling plan as reference plan, when the lifetime of the product follows generalized exponential distribution. The two points on the operating characteristic curve approach are used to find the optimal parameters for the proposed plan. The plan parameters are determined so as to minimize the average sample number subject to satisfying simultaneously both producer and consumer risks at the acceptable and limiting quality levels respectively.

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