• Title/Summary/Keyword: Optimal Process Mean

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On optimal correction of gunfire errors (포 사격오차의 최적 수정에 관한 연구)

  • 이양원;김영주;김경기;김경기
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.109-112
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    • 1989
  • Gun system operation is represented as a first-order Markov process, and an optimum linear filter is derived for closed-loop control of mean square error. Potential improvement is then estimated by contrasting the variance in performance and the auto correlation for open-loop system with that for the optimum linearly corrected process.

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A Study on the Robust Minimization of Warpage in Injection-Molded Part via the Optimal Design of Rib Geometry and Process Conditions (리브 형상과 공정조건의 최적설계에 의한 사출제품 휨의 안정적 최소화에 관한 연구)

  • Park, Jong-Cheon;Kim, Kyung-Mo;Lee, Jong-Chan;Koo, Bon-Heung
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.8 no.3
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    • pp.90-97
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    • 2009
  • In the study, a design methodology for robust minimization of a warpage in injection-molded part is presented. Taguchi's parameter design method is integrated with a computer simulation tool for injection molding to search for best design with robustness against the process variability by noises. The proposed methodology is based on a two-stage process: (1) reducing a warpage in the part by optimizing the part geometry including the layout and size of ribs, and (2) additionally minimizing the warpage by optimizing process conditions. An example is used to illustrate the usefulness of the design methodology.

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Cost-Reliability Optimal Policies Based on Musa-Okumoto Logarithmic Poisson Execution Time Model (Musa-Okumoto 대수 포아송 실행시간 모형에 근거한 비용-신뢰성 최적정책)

  • 김대경
    • Journal of Korean Society for Quality Management
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    • v.26 no.3
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    • pp.141-149
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    • 1998
  • It is of great practical interest to decide when to stop testing a software system in the development phase and transfer it to the user. This decision problemcalled an optimal software release one is discussed to specify the a, pp.opriate release time. In almost all studies, the software reliability models used are nonphomogenous Poisson process(NHPP) model with bounded mean value function. HNPP models with unbounded mean value function are more suitable in practice because of the possibility of introducing new faults when correcting or modifying the software. We discuss optimal software release policies which minimize a total average software cost under the constraint of satisfying a software reliability requirement. A numerical example illustrates the results.

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Optimal Ordering Policy in Dual-Sourcing Supply Chain Considering Supply Disruptions and Demand Information

  • Watanabe, Naoki;Kusukawa, Etsuko
    • Industrial Engineering and Management Systems
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    • v.14 no.2
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    • pp.129-158
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    • 2015
  • It is necessary for retailers to determine the optimal ordering policy of products considering supply disruptions due to a natural disaster and a production process failure as quality and machine breakdowns. Under the situation, a dualsourcing supply chain (DSSC) is one of effective SC for retailers to order products reliably. This paper proposes the optimal ordering policy of a product in a DSSC with a retailer and two manufacturers. Two manufacturers may face supply disruptions due to a natural disater and a production process failure after they received the retailer's order of products. Here, two scenarios of demand information of products are assumed: (i) the demand distribution is known (ii) mean and variance of the demand are known. Under above situations, two types of DSSC are discussed. Under a decentralized DSSC (DSC), a retailer determines the optimal ordering policy to maximize his/her total expected profit. Under the integrated DSSC (ISC), the optimal ordering policy is determined to maximize the whole system's total expected profit. Numerical analysis investigates how demand information and supply disruptions affect the optimal decisions under DSC and ISC. Besides, profitability of supply chain coordination adjusting the wholesale price is evaluated to encourage the optimal decision under ISC.

A Study on UBM Method Detecting Mean Shift in Autocorrelated Process Control

  • Jun, Sang-Pyo
    • Journal of the Korea Society of Computer and Information
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    • v.25 no.12
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    • pp.187-194
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    • 2020
  • In today's process-oriented industries, such as semiconductor and petrochemical processes, autocorrelation exists between observed data. As a management method for the process where autocorrelation exists, a method of using the observations is to construct a batch so that the batch mean approaches to independence, or to apply the EWMA (Exponentially Weighted Moving Average) statistic of the observed value to the EWMA control chart. In this paper, we propose a method to determine the batch size of UBM (Unweighted Batch Mean), which is commonly used as a management method for observations, and a method to determine the optimal batch size based on ARL (Average Run Length) We propose a method to estimate the standard deviation of the process. We propose an improved control chart for processes in which autocorrelation exists.

Economic Design of Three-Stage $\bar{X}$ Control Chart Based on both Performance and Surrogate Variables (성능변수와 대용변수를 이용한 3단계 $\bar{X}$ 관리도의 경제적 설계)

  • Kwak, Shin-Seok;Lee, Jooho
    • Journal of Korean Society for Quality Management
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    • v.44 no.4
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    • pp.751-770
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    • 2016
  • Purpose: Two-stage ${\bar{X}}$ chart is a useful tool for process control when a surrogate variable may be used together with a performance variable. This paper extends the two-stage ${\bar{X}}$ chart to a three stage version by decomposing the first stage into the preliminary stage and the main stage. Methods: The expected cost function is derived using Markov-chain approach. The optimal designs are found for numerical examples using a genetic algorithm combined with a pattern search algorithm and compared to those of the two-stage ${\bar{X}}$ chart. Sensitivity analysis is performed to see the parameter effects. Results: The proposed design outperforms the optimal design of the two-stage ${\bar{X}}$ chart in terms of the expected cost per unit time unless the correlation between the performance and surrogate variables is modest and the shift in process mean is smallish. Conclusion: Three-stage ${\bar{X}}$ chart may be a useful alternative to the two-stage ${\bar{X}}$ chart especially when the correlation between the performance and surrogate variables is relatively high and the shift in process mean is on the small side.

Finding Cost-Effective Mixtures Robust to Noise Variables in Mixture-Process Experiments

  • Lim, Yong B.
    • Communications for Statistical Applications and Methods
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    • v.21 no.2
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    • pp.161-168
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    • 2014
  • In mixture experiments with process variables, we consider the case that some of process variables are either uncontrollable or hard to control, which are called noise variables. Given the such mixture experimental data with process variables, first we study how to search for candidate models. Good candidate models are screened by the sequential variables selection method and checking the residual plots for the validity of the model assumption. Two methods, which use numerical optimization methods proposed by Derringer and Suich (1980) and minimization of the weighted expected loss, are proposed to find a cost-effective robust optimal condition in which the performance of the mean as well as the variance of the response for each of the candidate models is well-behaved under the cost restriction of the mixture. The proposed methods are illustrated with the well known fish patties texture example described by Cornell (2002).

Reheating Process of Extrusion Billet with Large Dimension (대형 압출 빌렛트의 재가열 공정)

  • 배정운;서판기;강충길
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2003.10a
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    • pp.261-264
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    • 2003
  • Semi-solid processing is now becoming of great interest for the production of various parts by pressure die casting. Many advantages are associated with this forming process at the condition that the forming operation is performed under appropriate conditions. The thixoforming process, which needs a suspension of a globular, non-dendritic solid phase in the liquid phase, is characterized by three major steps. The first step is casting of billets with a microstructure suited for thixoforming. The second step is reheating of slugs cut from these billets. The third step is injection of the semi-solid slugs into a die. In this paper, the horizontal reheating machine to obtain the optimal conditions suitable for semiu-solid die casting process was used and applied to extrusion material. It is estimated the possibility of application on semi-solid die casting with extrusion material through various results.

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Determination of the Starting Value and the Resetting Time for a Production Process with Linear Shift in the Process Mean (공정평균이 변하는 생산공정의 공정평균의 초기값 및 재설정 시간 결정)

  • 안동근;장중순
    • Journal of Korean Society for Quality Management
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    • v.26 no.4
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    • pp.51-64
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    • 1998
  • Mean shifts may be found in tool wear in machining, drawing, stamping and moulding operations, which make the process quality level deteriorate over time. In such situations, it is necessary to reset or readjust the manufacturing process at regular time basis or by inspection to prevent defective items produced. Although the deterioration rate may be assumed to be linear in a production cycle, there are many cases where the rate varies after resetting due to the variation of tool characteristics or by using the resharpened tools. In such cases, the deterioration rate should not be assumed to be a deterministic constant but a random variable. This paper is to find an optimal resetting period and quality level for such production processes.

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Maintenance Model for Wear-Out Process Integrated with the Percent Defective and the Failure Rate (불량률과 고장률을 통합한 마모공정의 보전모형)

  • Lee, Dou-Kyung
    • Journal of Korean Society for Quality Management
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    • v.24 no.2
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    • pp.44-53
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    • 1996
  • This paper deals with the problem of selecting optimal wear limit and initial process mean in a wear-out process. Consider a material removal processing machinery where 1)there are deffective items by linear shift in the mean of the diameter of to be processed with varing process variance and 2)there can be any failure in the machine tools or to be processed. In the previous studies, the one is analyzed by 'Model of Producing Goods' in quality control area and the other, any failure, is analyzed by 'Model of Producing Services' in reliability area. We propose a new integrated maintenance model, considering the percent defective and the failure rate. A numerical example for the model is given.

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