• 제목/요약/키워드: Desirability Functions

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Simultaneous Optimization of Multiple Responses Using Weighted Desirability Function

  • Park, Sung-Hyun;Park, Jun-Oh
    • 품질경영학회지
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    • 제25권1호
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    • pp.56-68
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    • 1997
  • The object of multiresponse optimization is to determine conditions on hte independent variables that lead to optimal or nearly optimal values of the response variables. Derringer and Suich (1980) extended Harrington's (1965) procedure by introducing more general transformations of the response into desirability functions. The core of the desirability a, pp.oach condenses a multivariate optimization into a univariate one. But because of the subjective nature of this a, pp.oach, inexperience on the part of the user in assessing a product's desirability value may lead to inaccurate results. To compensate for this defect, a weighted desirability function is introduced which takes into consideration the vriances of the responses.

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만족도 함수의 편향과 산포를 고려한 다중반응표면최적화 기법 개발 (Development of a Multiple Response Surface Method Considering Bias and Variance of Desirability Functions)

  • 정기효;이상기
    • 대한산업공학회지
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    • 제38권1호
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    • pp.25-30
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    • 2012
  • Desirability approaches have been proposed to find an optimum of multiple response problem. The existing desirability approaches use either of mean or min of individual desirability in aggregation of multiple responses. However, in order to find an optimum having high mean and low dispersion among individual desirability, the dispersion needs to be simultaneously considered with its mean. This study proposes bias and variance (BV) method which aggregates bias (ideal target-mean) and variance of individual desirability in multiple response optimization. The proposed BV method was applied to an example to evaluate its usefulness by comparing with existing methods. Evaluation results showed that the solution of BV method was a fairly good compared with DS (Derringer and Suich, 1980) and KL (Kim and Lin, 2000) methods. The BV method can be utilized to multiple response surface problems when decision makers want to find an optimum having high mean and low variance among responses.

호감도 함수와 다구찌 법을 이용한 고객지향설계에 관한 연구 (A Study on the Customer-Oriented Design Using Desirability Function and Taguchi Method)

  • 조재훈;이지호;박종필;남윤의
    • 산업경영시스템학회지
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    • 제45권4호
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    • pp.99-108
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    • 2022
  • Today, as technology advances and market competition for products intensifies, the product design to improve customer satisfaction by accurately identifying customer needs is emerging as a very important issue for company. Accordingly, the customer-oriented or customer-centered design that maximizes customer satisfaction by grasping and analyzing customer requirements is in the spotlight as an important design theory. In this study, the customer-oriented design is defined as finding the optimal value of design variable with the maximum overall customer satisfaction while minimizing the difference in individual customer satisfaction responded to various customers from multiple product quality characteristics from the perspective of robust design. Therefore, this study presents a new method for modeling the customer preference structure as the different sets of desirability functions for multiple quality characteristics and proposes a new customer-oriented design approach by applying the desirability functions to Taguchi's robust design process to deal with multi-characteristic design problem. Finally, the proposed method is illustrated with the Kansei engineering design problem of wine glass.

다목적 반응함수들의 동시 최적화수법 (Simultaneous Optimization Techniques for Multi-purpose Response Functions)

  • 박성현
    • 한국국방경영분석학회지
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    • 제7권1호
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    • pp.118-138
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    • 1981
  • In many response surface optimization problems for industrial processes, there are more than two responses of interest, and we want to find the optimal levels of the factors that influence the responses. This paper is to propose how to set up the desirability functions to find the optimum for a given set of data, and to propose how to analyse the data and the desirability functions to determine an optimal operating condition for the factors. To implement the proposed method in practice, a FORTRAN computer program was written and explained. Finally, an industrial example is illustrated to explain the proposed technique and the source list of the computer program is attached for the users.

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Strategies for Robust Design with Multiple Responses

  • Hwang Inkeuk;Chung Lakchae
    • 품질경영학회지
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    • 제25권2호
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    • pp.28-46
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    • 1997
  • This paper considers robust design strategies for off-line quality control, with the use of experimental design and response surface methodology, in situations where all products have multiple quality characteristics. These strategies can be developed using the desirability concept of desirability functions to determine the settings of the design factors, not only to get the average performances on target but also to minimize variability around the target values.

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An Application of Fuzzy Logic with Desirability Functions to Multi-response Optimization in the Taguchi Method

  • Kim Seong-Jun
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제5권3호
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    • pp.183-188
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    • 2005
  • Although it is widely used to find an optimum setting of manufacturing process parameters in a variety of engineering fields, the Taguchi method has a difficulty in dealing with multi-response situations in which several response variables should be considered at the same time. For example, electrode wear, surface roughness, and material removal rate are important process response variables in an electrical discharge machining (EDM) process. A simultaneous optimization should be accomplished. Many researches from various disciplines have been conducted for such multi-response optimizations. One of them is a fuzzy logic approach presented by Lin et al. [1]. They showed that two response characteristics are converted into a single performance index based upon fuzzy logic. However, it is pointed out that information regarding relative importance of response variables is not considered in that method. In order to overcome this problem, a desirability function can be adopted, which frequently appears in the statistical literature. In this paper, we propose a novel approach for the multi-response optimization by incorporating fuzzy logic into desirability function. The present method is illustrated by an EDM data of Lin and Lin [2].

SCOR 모형에 기반한 새로운 제조협업의 협력적 성과지표 개발 및 측정 (Development of New Collaborative Key Performance Indicators in Manufacturing Collaboration Based on the SCOR Model)

  • 정지환;정재윤;신동민;김상국
    • 한국전자거래학회지
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    • 제15권1호
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    • pp.157-171
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    • 2010
  • 공급사슬과 같은 제조협업을 성공적으로 관리하기 위해서는 효과적인 협업 성과 측정 방법이 필요하다. 기존에 개발된 성과지표들은 주로 기업 내부 업무 또는 아웃소싱의 성과를 측정하기 위하여 개발되었기 때문에, 공동으로 참여하는 제조협업의 성과를 측정하는데 적합하지 않다. 또한, 비용과 같은 일부 성과지표들은 참여기업 간에 이해가 상충되기 때문에 합의 가능한 협업 성과지표의 개발이 필요하다. 본 연구에서는 공급사슬 표준인 SCOR 모형에 기반하여 제조협업에서 양자가 합의할 수 있는 협력적 성과지표(cKPI : collaborative Key Performance Indicators)를 도출하는 방법을 제안하고, 이를 바탕으로 제조협업에 대한 종합적인 성과 만족도를 측정하는 방법을 제시한다. 특히, 기업간에 체결되는 서비스 수준 계약(SLA : Service Level Agreements)의 특성을 반영하기 위하여, Sigmoid 함수를 이용한 성과 만족도 함수를 도입하였다. 본 연구에서 제시된 협력적 성과 측정 및 관리 방법은 점차 확대되고 있는 협업 프로세스에서 상호 합의할 수 있는 정량적 지표를 개발하고 성과를 측정하는 데 활용함으로써 지속적인 제조협업 개선에 적용될 수 있을 것으로 기대된다.

근사모델을 이용한 날개 평면형상 공력형상설계 방법 (Aerodynamic Shape Design Method for Wing Planform Using Metamodel)

  • 배효길;정소라
    • 항공우주시스템공학회지
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    • 제8권4호
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    • pp.18-23
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    • 2014
  • In preliminary design phase, the wing geometry of the civil aircraft was determined using the empirical equation and historical data. To make wing geometry more aerodynamically efficient, an aerodynamic shape optimization was conducted. For this purpose the parametric modeling, high fidelity CFD analysis and metamodel-based optimal design technique were adopted. The parametric modeling got the design process to achieve the improvement by generating the configuration outputs easily for the major design variables. The optimal design equations were formularized as the type of the multi-objective functions considering low/high speed and lift/drag coefficient. The optimal solution was explored with the help of the kriging metamodel and the desirability function, therefore the optimal wing planform was sought to be excellent at both low and high speed region. Additionally the optimal wing planform was validated that it was excellent not only at the specific AOA, but also all over the range of AOA.

호감도 함수 기반 다특성 강건설계 최적화 기법 (A Desirability Function-Based Multi-Characteristic Robust Design Optimization Technique)

  • 박종필;조재훈;남윤의
    • 산업경영시스템학회지
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    • 제46권4호
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    • pp.199-208
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    • 2023
  • Taguchi method is one of the most popular approaches for design optimization such that performance characteristics become robust to uncontrollable noise variables. However, most previous Taguchi method applications have addressed a single-characteristic problem. Problems with multiple characteristics are more common in practice. The multi-criteria decision making(MCDM) problem is to select the optimal one among multiple alternatives by integrating a number of criteria that may conflict with each other. Representative MCDM methods include TOPSIS(Technique for Order of Preference by Similarity to Ideal Solution), GRA(Grey Relational Analysis), PCA(Principal Component Analysis), fuzzy logic system, and so on. Therefore, numerous approaches have been conducted to deal with the multi-characteristic design problem by combining original Taguchi method and MCDM methods. In the MCDM problem, multiple criteria generally have different measurement units, which means that there may be a large difference in the physical value of the criteria and ultimately makes it difficult to integrate the measurements for the criteria. Therefore, the normalization technique is usually utilized to convert different units of criteria into one identical unit. There are four normalization techniques commonly used in MCDM problems, including vector normalization, linear scale transformation(max-min, max, or sum). However, the normalization techniques have several shortcomings and do not adequately incorporate the practical matters. For example, if certain alternative has maximum value of data for certain criterion, this alternative is considered as the solution in original process. However, if the maximum value of data does not satisfy the required degree of fulfillment of designer or customer, the alternative may not be considered as the solution. To solve this problem, this paper employs the desirability function that has been proposed in our previous research. The desirability function uses upper limit and lower limit in normalization process. The threshold points for establishing upper or lower limits let us know what degree of fulfillment of designer or customer is. This paper proposes a new design optimization technique for multi-characteristic design problem by integrating the Taguchi method and our desirability functions. Finally, the proposed technique is able to obtain the optimal solution that is robust to multi-characteristic performances.

Response surface methodology based multi-objective optimization of tuned mass damper for jacket supported offshore wind turbine

  • Rahman, Mohammad S.;Islam, Mohammad S.;Do, Jeongyun;Kim, Dookie
    • Structural Engineering and Mechanics
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    • 제63권3호
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    • pp.303-315
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    • 2017
  • This paper presents a review on getting a Weighted Multi-Objective Optimization (WMO) of Tuned Mass Damper (TMD) parameters based on Response Surface Methodology (RSM) coupled central composite design and Weighted Desirability Function (WDF) to attenuate the earthquake vibration of a jacket supported Offshore Wind Turbine (OWT). To optimize the parameters (stiffness and damping coefficient) of damper, the frequency ratio and damping ratio were considered as a design variable and the top displacement and frequency response were considered as objective functions. The optimization has been carried out under only El Centro earthquake results and after obtained the optimal parameters, more two earthquakes (California and Northridge) has been performed to investigate the performance of optimal damper. The obtained results also compared with the different conventional TMD's designed by Den Hartog's, Sadek et al.'s and Warburton's method. From the results, it was found that the optimal TMD based on RSM shows better response than the conventional damper. It is concluded that the proposed response model offers an efficient approach regarding the TMD optimization.