• Title/Summary/Keyword: Optimal value function

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

  • Jong Pil Park;Jae Hun Jo;Yoon Eui Nahm
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.46 no.4
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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.

Economic Selection of Specification Limits for a Given Target Value (공정평균(工程平均)의 목표치(目標値)가 주어진 경우 규격한계(規格限界)의 경제적(經濟的) 선정(選定))

  • Riew, Moon-Charn
    • Journal of Korean Institute of Industrial Engineers
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    • v.15 no.2
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    • pp.57-64
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    • 1989
  • An Economic selection of specification limits is considered for a given target value in a complete inspection plan. Each item is inspected, and if it meets the specification, it is accepted. Items less than the lower specification limit are scrapped or sold at a reduced price, and those greater than the upper specification limit are reworked. Cost factors to be considered are economic loss caused by quality deviations, rework cost and scrapping cost. Methods for finding the optimal specification limits are given for the cases of piecewise linear loss function and quadratic loss function with illustrative examples.

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The Preferred Alternative for MLDM Problems using the Signal-to-Noise Ratios (신호대 잡음비를 이용한 MLDM 문제의 선호대안 선정)

  • 이강인
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.26 no.4
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    • pp.72-81
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    • 2003
  • The purpose of this paper is to propose an interactive method, which is designed to select the optimal preferred alter-native for the MLDM(Multiple-the Larger-the better type Decision-Making) problems with the-larger-the-better quality characteristics. The basic idea of the paper is essentially to eliminate inefficient alternative based on the concept of Taguchi Signal-to-Noise ratios and the cutting range instead of using UVF(Utility/value Function) on the group of attributes that can be considered importantly by the decision makers. As a result, the method proposed in the paper for MLDM problems can be significant in that the change of characteristics is transformed into the size of Signal-to-Noise ratio, which can be relatively easy to understand by decision makers.

Reduction of Air-pumping Noise based on a Genetic Algorithm (유전자 알고리즘을 이용한 타이어 공력소음의 저감)

  • Kim, Eui-Youl;Hwang, Sung-Wook;Kim, Byung-Hyun;Lee, Sang-Kwon
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.22 no.1
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    • pp.61-73
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    • 2012
  • The paper presents the novel approach to solve some problems occurred in application of the genetic algorithm to the determination of the optimal tire pattern sequence in order to reduce the tire air-pumping noise which is generated by the repeated compression and expansion of the air cavity between tire pattern and road surface. The genetic algorithm has been used to find the optimal tire pattern sequence having a low level of tire air-pumping noise using the image based air-pumping model. In the genetic algorithm used in the previous researches, there are some problems in the encoding structure and the selection of objective function. The paper proposed single encoding element with five integers, divergent objective function based on evolutionary process and the optimal evolutionary rate based on Shannon entropy to solve the problems. The results of the proposed genetic algorithm with evolutionary process are compared with those of the randomized algorithm without evolutionary process on the two-dimensional normal distribution. It is confirmed that the genetic algorithm is more effective to reduce the peak value of the predicted tire air-pumping noise and the consistency and cohesion of the obtained simulation results are also improved in terms of probability.

Light-Weight Design of Maglev Car-Body Frame Using Response Surface Approximation (반응면 근사를 이용한 자기부상열차 차체 프레임 경량화 설계)

  • Bang, Je-Sung;Han, Jeong-Woo;Lee, Jong-Min
    • Journal of the Korean Society for Precision Engineering
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    • v.28 no.11
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    • pp.1297-1308
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    • 2011
  • The light-weight design of UTM (Urban Transit Maglev)-02 car-body frames are performed, based on initial configuration. The thicknesses of fourteen sub-structures are defined as design variables and the loading condition is considered according to weight of sub-structures, electronic and pneumatic modules and passengers. For efficient and robust process of design optimization, objective function and constraints are approximated by response surface approximation. Structural analysis is performed at some sampling points to construct the approximated objective function and constraints composed of design variables. Design space is changed to find many optimal candidates and best optimal design can be found eventually. The Matlab Optimization Toolbox is used to find optimal value and sensitivity analysis about each design variable is also performed.

The Design of Optimal Fuzzy-Neural networks Structure by Means of GA and an Aggregate Weighted Performance Index (유전자 알고리즘과 합성 성능지수에 의한 최적 퍼지-뉴럴 네트워크 구조의 설계)

  • Oh, Sung-Kwun;Yoon, Ki-Chan;Kim, Hyun-Ki
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.3
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    • pp.273-283
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    • 2000
  • In this paper we suggest an optimal design method of Fuzzy-Neural Networks(FNN) model for complex and nonlinear systems. The FNNs use the simplified inference as fuzzy inference method and Error Back Propagation Algorithm as learning rule. And we use a HCM(Hard C-Means) Clustering Algorithm to find initial parameters of the membership function. The parameters such as parameters of membership functions learning rates and momentum weighted value is proposed to achieve a sound balance between approximation and generalization abilities of the model. According to selection and adjustment of a weighting factor of an aggregate objective function which depends on the number of data and a certain degree of nonlinearity (distribution of I/O data we show that it is available and effective to design and optimal FNN model structure with a mutual balance and dependency between approximation and generalization abilities. This methodology sheds light on the role and impact of different parameters of the model on its performance (especially the mapping and predicting capabilities of the rule based computing). To evaluate the performance of the proposed model we use the time series data for gas furnace the data of sewage treatment process and traffic route choice process.

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Optimal Call Control Strategies in a Cellular Mobile Communication System with a Buffer for New Calls (신규호에 대한 지체가 허용된 셀룰라 이동통신시스템에서 최적 호제어 연구)

  • Paik, Chun-hyun;Chung, Yong-joo;Cha, Dong-wan
    • Journal of the Korean Operations Research and Management Science Society
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    • v.23 no.3
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    • pp.135-151
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    • 1998
  • The demand of large capacity in coming cellular systems makes inevitable the deployment of small cells, rendering more frequent handoff occurrences of calls than in the conventional system. The key issue is then how effectively to reduce the chance of unsuccessful handoffs, since the handoff failure is less desirable than that of a new call attempt. In this study, we consider the control policies which give priority to handoff calls by limiting channel assignment for the originating new calls, and allow queueing the new calls which are rejected at their first attempts. On this system. we propose the problem of finding an optimal call control strategy which optimizes the objective function value, while satisfying the requirements on the handoff/new call blocking probabilities and the new call delay. The objective function takes the most general form to include such well-known performance measures as the weighted average carried traffic and the handoff call blocking probability. The problem is formulated into two different linear programming (LP) models. One is based on the direct employment of steady state equations, and the other uses the theory of semi-Markov decision process. Two LP formulations are competitive each other, having its own strength in the numbers of variables and constraints. Extensive experiments are also conducted to show which call control strategy is optimal under various system environments having different objective functions and traffic patterns.

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Asymptotic optimal bandwidth selection in kernel regression function estimation (커널 회귀함수 추정에서 점근최적인 평활량의 선택에 관한 연구)

  • Seong, Kyoung-Ha;Kim, Dae-Hak
    • Journal of the Korean Data and Information Science Society
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    • v.9 no.1
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    • pp.19-27
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    • 1998
  • We considered the bandwidth selection method which has asymptotic optimal convergence rate $n^{-1/2}$ in kernel regression function estimation. For the proposed bandwidth selection, we considered Mean Averaged Squared Error as a performance criterion and its Taylor expansion to the fourth order. Then we estimate the bandwidth which minimizes the estimated approximate value of MASE. Finally we show the relative convergence rate between optimal bandwidth and proposed bandwidth.

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An Optimal COA Defuzzifier for a Fuzzy Logic controller (퍼지 논리 제어기를 위한 최적의 COA 비퍼지화기)

  • 조인현;이동석;김종훈;김대진
    • Journal of the Korean Institute of Intelligent Systems
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    • v.6 no.4
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    • pp.81-91
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    • 1996
  • This paper proposes an optimal COA(Center Of Area) defuzzification method that improves the contr~lp erformance of a fuzzy logic controller. The defuzzification method incorporates both the membership values and the effective span of membership function6 in calculating a crisp value. An optimal effective span is determined automatically by the genetic algorithm thrqugh the training of some typical examples. Simulation of the proposed COA defuzzifier to the truck backer-upper control problem is presented and the control performance of the praposed COA defuzzifier outperforms that of the conventional COA defuzzifier by more than 20% in terms of ayerage tracing distance.

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Investigations on data-driven stochastic optimal control and approximate-inference-based reinforcement learning methods (데이터 기반 확률론적 최적제어와 근사적 추론 기반 강화 학습 방법론에 관한 고찰)

  • Park, Jooyoung;Ji, Seunghyun;Sung, Keehoon;Heo, Seongman;Park, Kyungwook
    • Journal of the Korean Institute of Intelligent Systems
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    • v.25 no.4
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    • pp.319-326
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    • 2015
  • Recently in the fields o f stochastic optimal control ( SOC) and reinforcemnet l earning (RL), there have been a great deal of research efforts for the problem of finding data-based sub-optimal control policies. The conventional theory for finding optimal controllers via the value-function-based dynamic programming was established for solving the stochastic optimal control problems with solid theoretical background. However, they can be successfully applied only to extremely simple cases. Hence, the data-based modern approach, which tries to find sub-optimal solutions utilizing relevant data such as the state-transition and reward signals instead of rigorous mathematical analyses, is particularly attractive to practical applications. In this paper, we consider a couple of methods combining the modern SOC strategies and approximate inference together with machine-learning-based data treatment methods. Also, we apply the resultant methods to a variety of application domains including financial engineering, and observe their performance.