• 제목/요약/키워드: Desirability Approach

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다중반응표면 최적화를 위한 단변량 손실함수법: 대화식 절차 기반의 가중치 결정 (A Univariate Loss Function Approach to Multiple Response Surface Optimization: An Interactive Procedure-Based Weight Determination)

  • 정인준
    • 지식경영연구
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    • 제21권1호
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    • pp.27-40
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    • 2020
  • Response surface methodology (RSM) empirically studies the relationship between a response variable and input variables in the product or process development phase. The ultimate goal of RSM is to find an optimal condition of the input variables that optimizes (maximizes or minimizes) the response variable. RSM can be seen as a knowledge management tool in terms of creating and utilizing data, information, and knowledge about a product production and service operations. In the field of product or process development, most real-world problems often involve a simultaneous consideration of multiple response variables. This is called a multiple response surface (MRS) problem. Various approaches have been proposed for MRS optimization, which can be classified into loss function approach, priority-based approach, desirability function approach, process capability approach, and probability-based approach. In particular, the loss function approach is divided into univariate and multivariate approaches at large. This paper focuses on the univariate approach. The univariate approach first obtains the mean square error (MSE) for individual response variables. Then, it aggregates the MSE's into a single objective function. It is common to employ the weighted sum or the Tchebycheff metric for aggregation. Finally, it finds an optimal condition of the input variables that minimizes the objective function. When aggregating, the relative weights on the MSE's should be taken into account. However, there are few studies on how to determine the weights systematically. In this study, we propose an interactive procedure to determine the weights through considering a decision maker's preference. The proposed method is illustrated by the 'colloidal gas aphrons' problem, which is a typical MRS problem. We also discuss the extension of the proposed method to the weighted MSE (WMSE).

헬리콥터 비행시험 최적화를 위한 실험계획법의 적용 (Design of Experiments for Optimization of Helicopter Flight Tests)

  • 변재현;이건명;김세희
    • 대한기계학회논문집 C: 기술과 교육
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    • 제2권2호
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    • pp.113-124
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    • 2014
  • 항공기를 개발하는데 있어 형상 결정과 요구도 입증은 주로 비행시험 결과에 의존한다. 비행시험은 많은 시간과 비용을 요구하므로 비행시험 계획을 체계적으로 수립하고 분석함으로써 비용절감과 일정단축에 기여할 수 있다. 본 논문에서는 한국형 기동헬기에 적용된 진동 비행시험 사례를 적용하여 비행시험 계획을 체계적으로 수립하고 분석할 수 있는 방안을 제시하였다. 본 논문에서는 주요 부위에서 측정한 진동수준 값을 가지고 종합적인 진동수준 만족도를 하나의 수치로 나타내기 위하여 호감도 함수를 채택하고 진동수준의 측정을 위한 비행시험을 체계적으로 수행하기 위하여 실험계획법의 하나인 부분요인배치법을 사용하였다. 또한 비행시험을 단계적으로 수행하여 비행시험 횟수를 더욱 줄일 수 있는 방법을 제시하였다.

Design optimization in hard turning of E19 alloy steel by analysing surface roughness, tool vibration and productivity

  • Azizi, Mohamed Walid;Keblouti, Ouahid;Boulanouar, Lakhdar;Yallese, Mohamed Athmane
    • Structural Engineering and Mechanics
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    • 제73권5호
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    • pp.501-513
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    • 2020
  • In the present work, the optimization of machining parameters to achieve the desired technological parameters such as surface roughness, tool radial vibration and material removal rate have been carried out using response surface methodology (RSM). The hard turning of EN19 alloy steel with coated carbide (GC3015) cutting tools was studied. The main problem faced in manufacturer of hard and high precision components is the selection of optimum combination of cutting parameters for achieving required quality of surface finish with maximum production rate. This problem can be solved by development of mathematical model and execution of experiments by RSM. A face centred central composite design (FCCD), which comes under the RSM approach, with cutting parameters (cutting speed, feed rate and depth of cut) was used for statistical analysis. A second-order regression model were developed to correlate the cutting parameters with surface roughness, tool vibration and material removal rate. Consequently, numerical and graphical optimization were performed to obtain the most appropriate cutting parameters to produce the lowest surface roughness with minimal tool vibration and maximum material removal rate using desirability function approach. Finally, confirmation experiments were performed to verify the pertinence of the developed mathematical models.

통합배열에서 기대함수를 이용한 파라미터설계 대체방안 (An alternative procedure for parameter design using desirability function in combined array)

  • 권용만
    • Journal of the Korean Data and Information Science Society
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    • 제27권5호
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    • pp.1263-1272
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    • 2016
  • 다구찌가 제안한 파라미터설계에서 사용되는 교차배열은 제어인자뿐만 아니라 잡음인자를 동시에 고려한 획기적인 방법으로 많은 장점이 있다. 반면 단점으로는 지나치게 많은 실험수를 필요로 하는 점이다. 실험수를 줄이기 위한 방안으로 통합배열 방법론이 제시되었다. 또 다른 단점으로 다구찌는 최적조건을 찾는데 있어서 신호대 잡음비를 사용하였는데 신호대 잡음비를 사용함에 따라 여러 가지 문제가 발생하였다. 본 논문에서는 파라미터설계에서의 단점을 개선하고자 신호대 잡음비에 의존하지 않으면서도 실험수를 줄이기 위한 대체방안을 제안하고자 한다. 아울러 파라미터설계에서 사용되는 교차배열과 실험수를 줄인 통합배열 두 가지 사례를 들어 비교 연구하고자 한다.

Cost-Oriented QC and Process-Oriented QC; Which is more Desirable Approach?

  • Lee, Sang-Do;Lee, Dong-Choon
    • 품질경영학회지
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    • 제13권2호
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    • pp.2-7
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    • 1985
  • 본(本) 연구(硏究)에서는 품질관리(品質管理)의 추진(推進)을 비용(費用) 지향적(指向的)인 방법(方法)과 공정지향적(工程指向的)인 방법(方法)으로 대별(大別)하고 각각(各各)의 특징(特徵)을 설명(說明)함과 아울러 비교분석(比較分析) 하였다. 또 현장(現場) Q.C 담당기술자(擔當技術者)들이 품질관리(品質管理)를 실시(實施)함에 있어서 방향(方向)을 모색한다거나 현재(現在) 실시(實施)하고 있는 방법(方法)의 부당성(不當性)을 첵크하기 위한 기준(基準)을 비용함수(費用函數)로서 제시(提示)하였다.

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Optimization of photo-catalytic degradation of oil refinery wastewater using Box-Behnken design

  • Tetteh, Emmanuel Kweinor;Naidoo, Dushen Bisetty;Rathilal, Sudesh
    • Environmental Engineering Research
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    • 제24권4호
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    • pp.711-717
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    • 2019
  • The application of advanced oxidation for the treatment of oil refinery wastewater under UV radiation by using nanoparticles of titanium dioxide was investigated. Synthetic wastewater prepared from phenol crystals; Power Glide SAE40 motor vehicle oil and water was used. Response surface methodology (RSM) based on the Box-Behnken design was employed to design the experimental runs, optimize and study the interaction effects of the operating parameters including catalyst concentration, run time and airflow rate to maximize the degradation of oil (SOG) and phenol. The analysis of variance and the response models developed were used to evaluate the data obtained at a 95% confidence level. The use of the RSM demonstrated the graphical relationship that exists between individual factors and their interactive effects on the response, as compared to the one factor at time approach. The obtained optimum conditions of photocatalytic degradation are the catalyst concentration of 2 g/L, the run time of 30 min and the airflow rate of 1.04 L/min. Under the optimum conditions, a 68% desirability performance was obtained, representing 81% and 66% of SOG and phenol degradability, respectively. Thus, the hydrocarbon oils were readily degradable, while the phenols were more resistant to photocatalytic degradation.

Multi-response optimization for milling AISI 304 Stainless steel using GRA and DFA

  • Naresh, N.;Rajasekhar, K.
    • Advances in materials Research
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    • 제5권2호
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    • pp.67-80
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    • 2016
  • The objective of the present work is to optimize process parameters namely, cutting speed, feed rate, and depth of cut in milling of AISI 304 stainless steel. In this work, experiments were carried out as per the Taguchi experimental design and an $L_{27}$ orthogonal array was used to study the influence of various combinations of process parameters on surface roughness (Ra) and material removal rate (MRR). As a dynamic approach, the multiple response optimization was carried out using grey relational analysis (GRA) and desirability function analysis (DFA) for simultaneous evaluation. These two methods are considered in optimization, as both are multiple criteria evaluation and not much complicated. The optimum process parameters found to be cutting speed at 63 m/min, feed rate at 600 mm/min, and depth of cut at 0.8 mm. Analysis of variance (ANOVA) was employed to classify the significant parameters affecting the responses. The results indicate that depth of cut is the most significant parameter affecting multiple response characteristics of GFRP composites followed by feed rate and cutting speed. The experimental results for the optimal setting show that there is considerable improvement in the process.

4WS Unmanned Vehicle Lateral Control Using PUS and Gyro Coupled by Kalman Filtering

  • Lee, Kil-Soo;Park, Hyung-Gyu;Lee, Man-Hyung
    • 한국항해항만학회지
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    • 제35권2호
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    • pp.121-130
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    • 2011
  • The localization of vehicle is an important part of an unmanned vehicle control problem. Pseudolite ultrasonic system(PUS) is the method to find an absolute position with a high accuracy by using ultrasonic sensor. And Gyro is the inertial sensor to measure yaw angle of vehicle. PUS can be able to estimate the position of mobile robot precisely, in which errors are not accumulated. And Gyro is a more faster measure method than PUS. In this paper, we suggest a more accuracy method of calculating PUS which is numerical analysis approach named Newtonian method. And also propose the fusion method to increase the accuracy of estimated angle on moving vehicle by using PUS and Gyro integrated system by Kalman filtering. To control the 4WS unmanned vehicle, the trajectory following algorithm is suggested. And the new concept arbitration of goal controller is suggested. This method considers the desirability function of vehicle state. Finally, the performances of Newtonian method and designed controller were verified from the experimental results with the 4WS vehicle scaled 1/10.

Design optimization for analysis of surface integrity and chip morphology in hard turning

  • Dash, Lalatendu;Padhan, Smita;Das, Sudhansu Ranjan
    • Structural Engineering and Mechanics
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    • 제76권5호
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    • pp.561-578
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    • 2020
  • The present work addresses the surface integrity and chip morphology in finish hard turning of AISI D3 steel under nanofluid assisted minimum quantity lubrication (NFMQL) condition. The surface integrity aspects include microhardness, residual stress, white layer formation, machined surface morphology, and surface roughness. This experimental investigation aims to explore the feasibility of low-cost multilayer (TiCN/Al2O3/TiN) coated carbide tool in hard machining applications and to assess the propitious role of minimum quantity lubrication using graphene nanoparticles enriched eco-friendly radiator coolant based nano-cutting fluid for machinability improvement of hardened steel. Combined approach of central composite design (CCD) - analysis of variance (ANOVA), desirability function analysis, and response surface methodology (RSM) have been subsequently employed for experimental investigation, predictive modelling and optimization of surface roughness. With a motivational philosophy of "Go Green-Think Green-Act Green", the work also deals with economic analysis, and sustainability assessment under environmental-friendly NFMQL condition. Results showed that machining with nanofluid-MQL provided an effective cooling-lubrication strategy, safer and cleaner production, environmental friendliness and assisted to improve sustainability.

Numerical investigation and optimization of the solar chimney performances for natural ventilation using RSM

  • Mohamed Walid Azizi;Moumtez Bensouici;Fatima Zohra Bensouici
    • Structural Engineering and Mechanics
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    • 제88권6호
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    • pp.521-533
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    • 2023
  • In the present study, the finite volume method is applied for the thermal performance prediction of the natural ventilation system using vertical solar chimney whereas, design parameters are optimized through the response surface methodology (RSM). The computational simulations are performed for various parameters of the solar chimney such as absorber temperature (40≤Tabs≤70℃), inlet temperature (20≤T0≤30℃), inlet height of (0.1≤h≤0.2 m) and chimney width (0.1≤d≤0.2 m). Analysis of variance (ANOVA) was carried out to identify the design parameters that influence the average Nusselt number (Nu) and mass flow rate (ṁ). Then, quadratic polynomial regression models were developed to predict of all the response parameters. Consequently, numerical and graphical optimizations were performed to achieve multi-objective optimization for the desired criteria. According to the desirability function approach, it can be seen that the optimum objective functions are Nu=25.67 and ṁ=24.68 kg/h·m, corresponding to design parameters h=0.18 m, d=0.2 m, Tabs=46.81℃ and T0=20℃. The optimal ventilation flow rate is enhanced by about 96.65% compared to the minimum ventilation rate, while solar energy consumption is reduced by 49.54% compared to the maximum ventilation rate.