• 제목/요약/키워드: Mathematical problem

검색결과 3,803건 처리시간 0.031초

에지분포함수 기반의 차선이탈경보 알고리즘 (A Lane Departure Warning Algorithm Based on an Edge Distribution Function)

  • 이준웅;이성웅
    • 한국자동차공학회논문집
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    • 제9권3호
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    • pp.143-154
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    • 2001
  • An algorithm for estimating the lane departure of a vehicle is derived and implemented based on an EDF(edge distribution function) obtained from gray-level images taken by a CCD camera mounted on a vehicle. As the function of edge direction, the EDF is aimed to show the distribution of edge direction and to estimate the possibility of lane departure with respect to its symmetric axis and local mamma. The EDF plays important roles: 1) It reduces noisy effects caused by dynamic road scene. 2) It makes possible lane identification without camera modeling. 3) It also leads LDW(lane departure warning) problem to a mathematical approach. When the situations of lane departure such that the vehicle approaches to lane marks or runs in the vicinity of the lane marks are occurred, the orientation of lane marks in images is changed, and then the situations are immediately reflected to the EDF. Accordingly, the lane departure is estimated by studying the shape of the EDF. The proposed EDF-based algorithm enhanced the adaptability to cope with the random and dynamic road environments, and eventually led to the reliable LDW system.

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Optimization of the Growth Rate of Probiotics in Fermented Milk Using Genetic Algorithms and Sequential Quadratic Programming Techniques

  • Chen, Ming-Ju;Chen, Kun-Nan;Lin, Chin-Wen
    • Asian-Australasian Journal of Animal Sciences
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    • 제16권6호
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    • pp.894-902
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    • 2003
  • Prebiotics (peptides, N-acetyglucoamine, fructo-oligosaccharides, isomalto-oligosaccharides and galactooligosaccharides) were added to skim milk in order to improve the growth rate of contained Lactobacillus acidophilus, Lactobacillus casei, Bifidobacterium longum and Bifidobacterium bifidum. The purpose of this research was to study the potential synergy between probiotics and prebiotics when present in milk, and to apply modern optimization techniques to obtain optimal design and performance for the growth rate of the probiotics using a response surface-modeling technique. To carry out response surface modeling, the regression method was performed on experimental results to build mathematical models. The models were then formulated as an objective function in an optimization problem that was consequently optimized using a genetic algorithm and sequential quadratic programming approach to obtain the maximum growth rate of the probiotics. The results showed that the quadratic models appeared to have the most accurate response surface fit. Both SQP and GA were able to identify the optimal combination of prebiotics to stimulate the growth of probiotics in milk. Comparing both methods, SQP appeared to be more efficient than GA at such a task.

의미웹 환경에서 조건부함축 제약 지식표현을 위한 SWCL의 확장 (An Extension of SWCL to Represent Logical Implication Knowledge under Semantic Web Environment)

  • 김학진
    • 한국경영과학회지
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    • 제39권3호
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    • pp.7-22
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    • 2014
  • By the publications of RDF and OWL, the Semantic Web is confirmed as a technology through which information in the Internet can be processed by machines. The focus of the Semantic Web study after then has moved to how to provide more useful information to users for their decision making beyond simple use of the structured data in ontologies. SWRL that makes logical inference possible by rules, and SWCL that formulates constraints under the Semantic Web environment are some of many efforts toward the achievement of that goal. Constraint represents a connection or a relationship between individual data in ontology. Based on SWCL, this paper tries to extend the language by adding one more type of constraint, implication constaint, in its repertoire. When users use binary variables to represent logical relationships in mathematical models, it requires and knowledge on the solver to solve the models. The use of implication constraint ease this difficulty. Its need, definition and relevant technical description is presented by the use of the optimal common attribute selection problem in product design.

다중 패턴 인식 기법을 이용한 DWT 전력 스펙트럼 밀도 기반 기계 고장 진단 기법 (Machine Fault Diagnosis Method based on DWT Power Spectral Density using Multi Patten Recognition)

  • 강경원;이경민;칼렙;권기룡
    • 한국멀티미디어학회논문지
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    • 제22권11호
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    • pp.1233-1241
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    • 2019
  • The goal of the sound-based mechanical fault diagnosis technique is to automatically find abnormal signals in the machine using acoustic emission. Conventional methods of using mathematical models have been found to be inaccurate due to the complexity of industrial mechanical systems and the existence of nonlinear factors such as noise. Therefore, any fault diagnosis issue can be treated as a pattern recognition problem. We propose an automatic fault diagnosis method using discrete wavelet transform and power spectrum density using multi pattern recognition. First, we perform DWT-based filtering analysis for noise cancelling and effective feature extraction. Next, the power spectral density(PSD) is performed on each subband of the DWT in order to effectively extract feature vectors of sound. Finally, each PSD data is extracted with the features of the classifier using multi pattern recognition. The results show that the proposed method can not only be used effectively to detect faults as well as apply to various automatic diagnosis system based on sound.

Analyzing and Designing a Current Controller for Circulating Current Reduction in Parallel Three-Phase Voltage-Source Inverters

  • Kim, Kiryong;Shin, Dongsul;Kim, Hee-Je;Lee, Jong-Pil
    • Journal of Power Electronics
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    • 제18권2호
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    • pp.502-510
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    • 2018
  • A circulating current is a major problem caused by directly connecting voltage-source inverters (VSIs) in parallel. This circulating current occurs as a zero-sequence current between the inverters by specific switch states. Several studies have presented alternatives using hardware and software methods. When coupled inductors (CIs) are employed for the high-frequency circulating current, a controller is required to prevent the low-frequency circulating current from saturating the CIs. In this study, the zero-sequence circulating current and its alternatives are investigated using hardware and mathematical description. A high-performance circulating current controller is proposed by applying a repetitive controller to the zero-sequence current control loop. The proposed controller can effectively minimize the low-frequency circulating current without any data sharing between the inverters in unfavorable conditions. It can also be applicable to the modular configuration of parallel three-phase VSIs. Experimental results verify the performance of the proposed controller.

저항 점 용접에서 반응표면분석법을 이용한 고장력 TRIP강의 최적 용접 조건 설정에 관한 연구 (Optimization of Welding Parameters for Resistance Spot Welding of TRIP Steel using Response Surface Methodology)

  • 박현성;김태형;이세헌
    • Journal of Welding and Joining
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    • 제21권2호
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    • pp.76-81
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    • 2003
  • Due to the environmental problem, automotive companies are trying to reduce the weight of car body. Therefore, WP(Transformation Induced Plasticity) steels, which are hish strength and ductility have been developed. The application of TRIP steel to the members has been reported to increase the energy absorption capability. Welding process is a complex process; therefore deciding the optimal welding conditions is an effective method on the basis of the experimental data. However, using a trial-and-error method from the beginning in such a wide area, in order to decide the optimal conditions requires too many numbers of experiments. To overcome these problems and to decide the optimal conditions, response surface methodology was used. Response surface methodology is a collection of mathematical and statistical techniques that are for the modeling and analysis of problems in which a response of interest is influenced by several variables and the objective is to optimize this response. The introduced method was applied to the resistance spot welding process of the TRIP steel and the welding parameters were optimized. (Received December 6, 2002)

유전자 알고리즘을 이용한 시간제약 포병 표적처리문제 (A Field Artillery Targeting Problem with Time Window by Genetic Algorithm)

  • 서재욱;김기태;전건욱
    • 한국국방경영분석학회지
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    • 제36권2호
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    • pp.11-24
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    • 2010
  • 네트워크 중심전(NCW) 및 효과중심작전(EBO)으로 대표되는 현대 및 미래전에서 포병의 신속하고 정확한 정밀타격능력은 전쟁 승패의 중요한 요인으로 작용될 것이다. 본 연구는 대화력전 및 화력지원간 실제 운용되는 환경 중 갱도포병과 같이 타격제한시간이 있는 포병 표적처리에 관한 연구로 여러 가지 제한사항들을 모형 화하여 표적할당 및 사격순서를 동시에 결정하는 문제이다. 본 연구에서는 시간제약이 있는 포병 표적처리문제에서 사격 제한시간을 만족하면서, 총 사격시간을 최소화하는 수리모형과 유전자 알고리즘을 제시하였다. 소형 문제를 이용한 축소실험으로 본 연구에서 제안하는 수리모형과 유전자 알고리즘의 타당성을 입증하였으며, 대형 문제를 이용한 확대실험에서 유전자 알고리즘으로 근사 최적해를 산출하였다.

불확실성을 포함한 차량 조향장치의 강인 이산시간 슬라이딩 모드 제어 (Robust Discrete-Time Sliding Mode Control of Vehicle Steering System with Uncertainty)

  • 김한메;김두형;박경택
    • 제어로봇시스템학회논문지
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    • 제18권4호
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    • pp.295-301
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    • 2012
  • This paper deals with the design of robust DSMC (Discrete-Time Sliding Mode Control) scheme in order to overcome system uncertainty in steering system with mechanically joined structure. The proposed control scheme is one of robust control schemes based on system dynamics. Therefore, system dynamics required is not obtained from physical law but SCM (Signal Compression Method) through experiment in order to avoid complicate mathematical development and save time. However, SCM has a shortcoming that is the limitation of with $2^{nd}$ order linear model which does not include the dynamic of high-frequency band. Thus, considering system uncertainty, DSMC is designed. In addition, to reduce the chattering problem of DSMC, DSMC is derived from the reaching law and the Lyapunov stability condition. It is found that the proposed control scheme has robustness in spite of the perturbation of system uncertainty through computer simulation.

Prediction and optimization of thinning in automotive sealing cover using Genetic Algorithm

  • Kakandikar, Ganesh M.;Nandedkar, Vilas M.
    • Journal of Computational Design and Engineering
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    • 제3권1호
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    • pp.63-70
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    • 2016
  • Deep drawing is a forming process in which a blank of sheet metal is radially drawn into a forming die by the mechanical action of a punch and converted to required shape. Deep drawing involves complex material flow conditions and force distributions. Radial drawing stresses and tangential compressive stresses are induced in flange region due to the material retention property. These compressive stresses result in wrinkling phenomenon in flange region. Normally blank holder is applied for restricting wrinkles. Tensile stresses in radial direction initiate thinning in the wall region of cup. The thinning results into cracking or fracture. The finite element method is widely applied worldwide to simulate the deep drawing process. For real-life simulations of deep drawing process an accurate numerical model, as well as an accurate description of material behavior and contact conditions, is necessary. The finite element method is a powerful tool to predict material thinning deformations before prototypes are made. The proposed innovative methodology combines two techniques for prediction and optimization of thinning in automotive sealing cover. Taguchi design of experiments and analysis of variance has been applied to analyze the influencing process parameters on Thinning. Mathematical relations have been developed to correlate input process parameters and Thinning. Optimization problem has been formulated for thinning and Genetic Algorithm has been applied for optimization. Experimental validation of results proves the applicability of newly proposed approach. The optimized component when manufactured is observed to be safe, no thinning or fracture is observed.

공급 사슬 확장을 위한 네트워크 재설계에 관한 연구 (A Study on Network Redesign for Supply Chain Expansion)

  • 송병덕;오용희
    • 한국전자거래학회지
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    • 제17권4호
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    • pp.141-153
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    • 2012
  • 시장 상황의 변화에 따라 상품의 효율적인 공급을 위해 기업은 한정된 예산 내에서 공급 사슬을 변화시킬 필요가 있다. 또한, 경쟁의 심화로 공급 사슬 내에서의 비용 절감뿐만 아니라 적절한 공급 사슬의 구성을 통해 상품의 정시 배송 등 고객 만족도를 높이는 것은 점점 더 중요한 요소로 고려되고 있는 추세이다. 본 연구에서는 공급 사슬 확장에 따른 네트워크 재설계 문제를 다루고 있으며 이에 따른 수리 모형을 제안한다. 또한 유전 알고리즘을 이용하여 예산 제한의 변화에 따른 총 가중 거리의 변화를 계산하여 경영진의 의사결정을 도울 수 있는 방법을 모색한다.