• Title/Summary/Keyword: Conforming Process

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An Economic Optimization of the Target Value (경제성을 고려한 공정 목표값 최적화)

  • 윤철환;유정현;윤덕균
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.21 no.45
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    • pp.201-213
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    • 1998
  • We address the problem of choosing the most economic mean value for an automatic filling operation on a production line through the sampling inspection. If quality characteristic of a unit is less than inspection specification then the goods is not accepted. Otherwise, it is accepted. The lots that the numbers of non-conforming units in a sample are larger than the allowable number of non-conforming units are rejected. The non-conforming units in the rejected lots are separated by the screening inspection. The non-conforming units separated are sold in discount price. We assume that quality characteristic is larger-the-better characteristic, the distribution of quality characteristic is normal distribution, and the standard deviation of the distribution is known. This paper presents total expected profit function model considering sales revenue, inspection costs, and material costs. The manufacturing process mean value maximizing total expected profit is determined, and the results of the process target value and total expected profit is analyzed as coefficients change.

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A Maintenance Model Applying Loss Function Based on the Cpm+ in the Process Mean Shift Problem in Which the Production Volume Decreases (생산량이 감소하는 공정평균이동 문제에서 Cpm+ 기준의 손실함수를 적용한 보전모형)

  • Lee, Do-Kyung
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.44 no.1
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    • pp.45-50
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    • 2021
  • Machines and facilities are physically or chemically degenerated by continuous usage. The representative type of the degeneration is the wearing of tools, which results in the process mean shift. According to the increasing wear level, non-conforming products cost and quality loss cost are increasing simultaneously. Therefore, a preventive maintenance is necessary at some point. The problem of determining the maintenance period (or wear limit) which minimizes the total cost is called the 'process mean shift problem'. The total cost includes three items: maintenance cost (or adjustment cost), non-conforming cost due to the non-conforming products, and quality loss cost due to the difference between the process target value and the product characteristic value among the conforming products. In this study, we set the production volume as a decreasing function rather than a constant. Also we treat the process variance as a function to the increasing wear rather than a constant. To the quality loss function, we adopted the Cpm+, which is the left and right asymmetric process capability index based on the process target value. These can more reflect the production site. In this study, we presented a more extensive maintenance model compared to previous studies, by integrating the items mentioned above. The objective equation of this model is the total cost per unit wear. The determining variables are the wear limit and the initial process setting position that minimize the objective equation.

A Measure of Process Incapability Index (비공정능력지수의 측도에 관한 연구)

  • 김진수;김홍준;송서일
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.22 no.49
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    • pp.77-87
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    • 1999
  • A simple transformation of the $C^{*}$$_{pm}$, $C_{pp}$ can be regard as a process incapability index, provides an uncontaminated separation between information concerning the process accuracy and precision while this kind of information separation is not available with the $C^{*}$$_{pm}$. Recently, Kyung-seok Shin et. al. introduced an improved process incapability index $C^{*}$$_{pmk}$ by the transformation of the $C_{pmk}$. Accordingly, in this article process incapability index $C^{*}$$_{psk}$ will be proposed by the transformation of the $C_{psk}$. The motivation behind introduction of $C^{*}$$_{psk}$ is that $C_{psk}$ has failed to overcome is that it cannot distinguish process of high conforming output proportions from those of low conforming output proportions. Process incapability index $C^{*}$$_{psk}$ can identify a difference between two things by comparison on $C_{psk}$ and $C^{*}$$_{psk}$.EX>$_{psk}$.EX>$_{psk}$.

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Determination of the Wear Limit to the Process Mean Shift Problem with Varying Product and Process Variance (생산량과 공정분산이 변하는 공정평균이동 문제의 마모한계 결정)

  • Lee, Do-Kyung
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.43 no.3
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    • pp.95-100
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    • 2020
  • Machines and facilities are physically or chemically degenerated by continuous usage. One of the results of this degeneration is the process mean shift. The representative type of the degeneration is wear of tool or machine. According to the increasing wear level, non-conforming products cost and quality loss cost are increasing simultaneously. Therefore a periodic preventive resetting the process is necessary. The total cost consists of three items: adjustment cost (or replacement cost), non-conforming cost due to product out of upper or lower limit specification, and quality loss cost due to difference from the process target value and the product characteristic value among the conforming products. In this case, the problem of determining the adjustment period or wear limit that minimizes the total cost is called the 'process mean shift' problem. It is assumed that both specifications are set and the wear level can be observed directly. In this study, we propose a new model integrating the quality loss cost, process variance, and production volume, which has been conducted in different fields in previous studies. In particular, for the change in production volume according to the increasing in wear level, we propose a generalized production quantity function g(w). This function can be applied to most processes and we fitted the g(w) to the model. The objective equation of this model is the total cost per unit wear, and the determining variables are the wear limit and initial process setting position that minimize the objective equation.

Meshfree consolidation analysis of saturated porous media with stabilized conforming nodal integration formulation

  • Wang, Dongdong;Xie, Pinkang;Lu, Hongsheng
    • Interaction and multiscale mechanics
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    • v.6 no.2
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    • pp.107-125
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    • 2013
  • A strain smoothing meshfree formulation with stabilized conforming nodal integration is presented for modeling the consolidation process in saturated porous media. In the present method, nodal strain smoothing is consistently introduced into the meshfree approximation of strain and pore pressure gradient variables associated with the saturated porous media. Meanwhile, in order to achieve a consistent numerical implementation, a smoothing approximation of the meshfree shape function within a nodal representative domain is also proposed in the stiffness construction. The resulting discrete system of equations is all expressed in smoothed nodal measures that are very efficient for numerical evaluation. Subsequently the space-time fully discrete equations are further established by the generalized trapezoidal rule for time integration. The effectiveness of the proposed meshfree consolidation analysis method is systematically illustrated by several benchmark problems.

Determination of the Resetting Time to the Process Mean Shift based on the Cpm+ (Cpm+ 기준에서의 공정평균이동에 대한 재조정 기간 결정)

  • Lee, Do-Kyung
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.41 no.1
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    • pp.110-117
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    • 2018
  • Machines and facilities are physically or chemically degenerated by continuous usage. One of the results of this degeneration is the process mean shift. By the result of degeneration, non-conforming products and malfunction of machine occur. Therefore a periodic preventive resetting the process is necessary. This type of preventive action is called 'preventive maintenance policy.' Preventive maintenance presupposes that the preventive (resetting the process) cost is smaller than the cost of failure caused by the malfunction of machine. The process mean shift problem is a field of preventive maintenance. This field deals the interrelationship between the quality cost and the process resetting cost before machine breaks down. Quality cost is the sum of the non-conforming item cost and quality loss cost. Quality loss cost is due to the deviation between the quality characteristics from the target value. Under the process mean shift, the quality cost is increasing continuously whereas the process resetting cost is constant value. The objective function is total costs per unit wear, the decision variables are the wear limit (resetting period) and the initial process mean. Comparing the previous studies, we set the process variance as an increasing concave function and set the quality loss function as Cpm+ simultaneously. In the Cpm+, loss function has different cost coefficients according to the direction of the quality characteristics from target value. A numerical example is presented.

Economic Design of a Process Monitoring Procedure for Dichotomous Performance Variable under 100% Inspection (이치형 성능변수를 이용한 전수검사 하에서의 공정감시절차의 경제적 설계)

  • Kwon, Hyuck-Moo
    • Journal of Korean Institute of Industrial Engineers
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    • v.24 no.3
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    • pp.359-365
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    • 1998
  • An economic process monitoring procedure is presented when the major quality characteristic of the item is dichotomous. Every item is inspected and decided whether it is conforming or not. If an item is found to be nonconforming, the previous number of the successive conforming items is compared with a predetermined number r to check the process for existence of any assignable cause of variation. A cost model is constructed on the basis of costs of inspection, illegal signal, undetected out-of-control state and corrective action. By minimizing the expected total cost per unit time, the optimal value of r is obtained. The effects of cost coefficients are studied numerically.

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Economic Selection of Optimum Process Mean for a Mixture Production Process (혼합물 생산공정의 최적 공정평균의 경제적 선정)

  • Lee, Min-Koo
    • Journal of Korean Society for Quality Management
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    • v.33 no.4
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    • pp.111-116
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    • 2005
  • This paper considers the problem of optimally choosing the sub-process means of a mixture production process where two important ingredients are mixed. The quantity of each ingredient is controlled through each corresponding sub-process. The values of the sub-process mean directly affect the defective rate, production, scrap and reprocessing costs for the mixture production process. After inspecting every incoming item, each conforming item is sold in a regular market for a fixed price and any nonconforming item is scraped. A model is constructed on the basis of the selling price, production, inspection, and scrap and reprocessing costs. The goal is to determine the optimum sub-process mean values based on maximizing expected profit function relating selling price and cost components. A method of finding the optimum sub-process means is presented when the quantities of the two ingredients are assumed to be normally distributed with known variances. A numerical example is given and numerical studies are performed.

A Synthetic Exponentially Weighted Moving-average Chart for High-yield Processes

  • Kusukawa, Etsuko;Kotani, Takayuki;Ohta, Hiroshi
    • Industrial Engineering and Management Systems
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    • v.7 no.2
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    • pp.101-112
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    • 2008
  • As charts to monitor the process fraction defectives, P, in the high-yield processes, Mishima et al. (2002) discussed a synthetic chart, the Synthetic CS chart, which integrates the CS (Confirmation Sample)$_{CCC(\text{Cumulative Count of Conforming})-r}$ chart and the CCC-r chart. The Synthetic CS chart is designed to monitor quality characteristics in real-time. Recently, Kotani et al. (2005) presented the EWMA (Exponentially Weighted Moving-Average)$_{CCC-r}$ chart, which considers combining the quality characteristics monitored in the past with one monitored in real-time. In this paper, we present an alternative chart that is more superior to the $EWMA_{CCC-r}$ chart. It is an integration of the $EWMA_{CCC-r}$ chart and the CCC-r chart. In using the proposed chart, the quality characteristic is initially judged as either the in-control state or the out-of-control state, using the lower and upper control limits of the $EWMA_{CCC-r}$ chart. If the process is not judged as the in-control state by the $EWMA_{CCC-r}$ chart, the process is successively judged, using the $EWMA_{CCC-r}$ chart. We compare the ANOS (Average Number of Observations to Signal) of the proposed chart with those of the $EWMA_{CCC-r}$ chart and the Synthetic CS chart. From the numerical experiments, with the small size of inspection items, the proposed chart is the most sensitive to detect especially the small shifts in P among other charts.

Process of Thinking on the Form in Product Design (제품디자인의 형용사고과정)

  • 조종호
    • Archives of design research
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    • v.4 no.1
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    • pp.31-37
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    • 1991
  • Process of thinking on the form in product design includes the process in which unclear requirements are transformed into defined concepts, and the process in which the design as a form conforming to the concepts in conc1uded.(The former is called fconceptualizationJ which deals with abstract matters, and the latter "manipulation of the formJ which deals with more embodied matters) In conceptualization process the operation which transform the diverse requirements in the initial phase of de\ulcornersign to related linguistic expressions or to an image that directly suggests the form is executed. In the process of manipulation of the form the transformation to design as the description of relationships between the formal elements of the design solution resulted from the transformed requirements. It is the job of selecting the most suitable formal elements, balancing the relationships between them, out 01 the possibilities that reside in the individual attributes of formal elements, and finally leading to the design as the end solution. This writing focuses down to the wilfulness and ambiguity of design, and the diversity of design solution after the requirements, formal elements, and the process of relating the formal attributes to each other is built up the two phases.ases.

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