• Title/Summary/Keyword: 휴리스틱 함수

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Improvement of multi layer perceptron performance using combination of gradient descent and harmony search for prediction of groundwater level (지하수위 예측을 위한 경사하강법과 화음탐색법의 결합을 이용한 다층퍼셉트론 성능향상)

  • Lee, Won Jin;Lee, Eui Hoon
    • Proceedings of the Korea Water Resources Association Conference
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    • 2022.05a
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    • pp.186-186
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    • 2022
  • 강수 및 침투 등으로 발생하는 지하수위의 변동을 예측하는 것은 지하수 자원의 활용 및 관리에 필수적이다. 지하수위의 변동은 지하수 자원의 활용 및 관리뿐만이 아닌 홍수 발생과 지반의 응력상태 등에 직접적인 영향을 미치기 때문에 정확한 예측이 필요하다. 본 연구는 인공신경망 중 다층퍼셉트론(Multi Layer Perceptron, MLP)을 이용한 지하수위 예측성능 향상을 위해 MLP의 구조 중 Optimizer를 개량하였다. MLP는 입력자료와 출력자료간 최적의 상관관계(가중치 및 편향)를 찾는 Optimizer와 출력되는 값을 결정하는 활성화 함수의 연산을 반복하여 학습한다. 특히 Optimizer는 신경망의 출력값과 관측값의 오차가 최소가 되는 상관관계를 찾는 연산자로써 MLP의 학습 및 예측성능에 직접적인 영향을 미친다. 기존의 Optimizer는 경사하강법(Gradient Descent, GD)을 기반으로 하는 Optimizer를 사용했다. 하지만 기존의 Optimizer는 미분을 이용하여 상관관계를 찾기 때문에 지역탐색 위주로 진행되며 기존에 생성된 상관관계를 저장하는 구조가 없어 지역 최적해로 수렴할 가능성이 있다는 단점이 있다. 본 연구에서는 기존 Optimizer의 단점을 개선하기 위해 지역탐색과 전역탐색을 동시에 고려할 수 있으며 기존의 해를 저장하는 구조가 있는 메타휴리스틱 최적화 알고리즘을 이용하였다. 메타휴리스틱 최적화 알고리즘 중 구조가 간단한 화음탐색법(Harmony Search, HS)과 GD의 결합모형(HS-GD)을 MLP의 Optimizer로 사용하여 기존 Optimizer의 단점을 개선하였다. HS-GD를 이용한 MLP의 성능검토를 위해 이천시 지하수위 예측을 실시하였으며 예측 결과를 기존의 Optimizer를 이용한 MLP 및 HS를 이용한 MLP의 예측결과와 비교하였다.

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Optimization Algorithm for Real-time Load Dispatch Problem Using Shut-off and Swap Method (발전정지와 교환방법을 적용한 실시간급전문제 최적화 알고리즘)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.17 no.4
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    • pp.219-224
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    • 2017
  • In facing the lack of a deterministic algorithm for economic load dispatch optimization problem, only non-deterministic heuristic algorithms have been suggested. Worse still, there is a near deficiency of research devoted to real-time load dispatch optimization algorithm. In this paper, therefore, I devise a shut-off and swap algorithm to solve real-time load dispatch optimization problem. With this algorithm in place, generators with maximum cost-per-unit generation power are to be shut off. The proposed shut-off criteria use only quadratic function in power generation cost function without valve effect nonlinear absolute function. When applied to the most prevalent economic load dispatch benchmark data, the proposed algorithm is proven to largely reduce the power cost of known algorithms.

State of the Art Technology Trends and Case Analysis of Leading Research in Harmony Search Algorithm (하모니 탐색 알고리즘의 선도 연구에 관한 최첨단 기술 동향과 사례 분석)

  • Kim, Eun-Sung;Shin, Seung-Soo;Kim, Yong-Hyuk;Yoon, Yourim
    • Journal of the Korea Convergence Society
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    • v.12 no.11
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    • pp.81-90
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    • 2021
  • There are various optimization problems in real world and research continues to solve them. An optimization problem is the problem of finding a combination of parameters that maximizes or minimizes the objective function. Harmony search is a population-based metaheuristic algorithm for solving optimization problems and it is designed to mimic the improvisation of jazz music. Harmony search has been actively applied to optimization problems in various fields such as civil engineering, computer science, energy, medical science, and water quality engineering. Harmony search has a simple working principle and it has the advantage of finding good solutions quickly in constrained optimization problems. Especially there are various application cases showing high accuracy with a low number of iterations by improving the solution through the empirical derivative. In this paper, we explain working principle of Harmony search and classify the leading research in recent 3 years, review them according to category, and suggest future research directions. The research is divided into review by field, algorithmic analysis and theory, and application to real world problems. Application to real world problems is classified according to the purpose of optimization and whether or not they are hybridized with other metaheuristic algorithms.

A Placement Prablem with Wire Congestion in LSI Layout CAD (LSI의 Layout CAD에 있어서의 배선 혼잡도를 고려한 배치 문제)

  • Im, In-Chil;Jeong, Jeong-Hwa;Lee, Byeong-Ho
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.19 no.3
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    • pp.19-27
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    • 1982
  • Minimization of total routing and number of cuts has been adopted for the placement problem in LSI and printed wire board as the object function, recently. Although it is considered that in the general situation this object function reflects the final goal which is wiring of 100% of layout, it often seems to be insufficient because it does not exhibit partial wire congestion. This paper introduces a new concept called the wire congestion of segestion to get the partial wire congestion and proposes the object function to minimize the wire congestion of segmests. In order to optimize this object function, an effective heuristic algorithm is also suggestsl Experimental results show that this algorithm sustains its efficiency. The experimental consequences point out that if the total routing length is short, maximum wire congestion of segment is small and vice versa. Therefore control parameter, that is, congestion parameter, which mintnizes total length and concurrently reduces maximal wire congestion of segment, is obtained by experiment.

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Improved Valve-Point Optimization Algorithm for Economic Load Dispatch Problem with Non-convex Fuel Cost Function (비볼록 발전비용함수 경제급전문제의 개선된 밸브지점 최적화 알고리즘)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.15 no.6
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    • pp.257-266
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    • 2015
  • There is no polynomial-time algorithm that can be obtain the optimal solution for economic load dispatch problem with non-convex fuel cost functions. Therefore, electrical field uses quadratic fuel cost function unavoidably. This paper proposes a valve-point optimization (VPO) algorithm for economic load dispatch problem with non-convex fuel cost functions. This algorithm sets the initial values to maximum powers $P_i{\leftarrow}P_i^{max}$ for each generator. It then reduces the generation power of generator i with an average power cost of $_{max}\bar{c}_i$ to a valve point power $P_{ik}$. The proposed algorithm has been found to perform better than the extant heuristic methods when applied to 13 and 40-generator benchmark data. This paper consequently proves that the optimal solution to economic load dispatch problem with non-convex fuel cost functions converges to the valve-point power of each generator.

A Heuristic Model for Appropriation of Voyage Allocation under Specific Port Condition Using Regression Analyses - With a Case Analysis on POSCO-owned Port - (휴리스틱 회귀모델을 이용한 특정항만 조건하에서의 선형별 적정 항차배분에 관한 연구 - 포항제철(주) 전용항만 사례를 중심으로-)

  • Kim, Weonjae
    • Journal of Korea Port Economic Association
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    • v.29 no.3
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    • pp.159-174
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    • 2013
  • This paper mainly deals with the appropriation of ship voyage allocation, using a heuristic regression model, in order to reduce total costs incurred in port, yard and at sea under the specific port condition. Because of different behavior of costs incurred in port, yard and at sea, an effort to minimize these costs by adjusting the number of voyages for three ship classes(50,000, 100,000, and 150,000-ton) should be made. For instance, if the port managers attempt to reduce the sea transport cost by increasing the annual allocated number of ship voyages classed 150,000-ton for economies of scale, they have no choice but to suffer a significant increase in queueing cost due to port congestion. To put it differently, there are trade-off relationships among the costs incurred in port, yard, and at sea. We utilized a computer simulation result to perform a couple of regression analyses in order to figure out the appropriate range of allocated number of voyages of each ship class using a heuristic approach. The detailed analytical results will be shown at the main paper. We also suggested a net present value(NPV) model to make a proper investment decision for an additional berth of 200,000-ton class that alleviates port congestion and reduces transport cost incurred both in port and at sea.

Reviews of Bus Transit Route Network Design Problem (버스 노선망 설계 문제(BTRNDP)의 고찰)

  • Han, Jong-Hak;Lee, Seung-Jae;Lim, Seong-Su;Kim, Jong-Hyung
    • Journal of Korean Society of Transportation
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    • v.23 no.3 s.81
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    • pp.35-47
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    • 2005
  • This paper is to review a literature concerning Bus Transit Route Network Design(BTRNDP), to describe a future study direction for a systematic application for the BTRNDP. Since a bus transit uses a fixed route, schedule, stop, therefore an approach methodology is different from that of auto network design problem. An approach methodology for BTRNDP is classified by 8 categories: manual & guideline, market analysis, system analytic model. heuristic model. hybrid model. experienced-based model. simulation-based model. mathematical optimization model. In most previous BTRNDP, objective function is to minimize user and operator costs, and constraints on the total operator cost, fleet size and service frequency are common to several previous approach. Transit trip assignment mostly use multi-path trip assignment. Since the search for optimal solution from a large search space of BTRNDP made up by all possible solutions, the mixed combinatorial problem are usually NP-hard. Therefore, previous researches for the BTRNDP use a sequential design process, which is composed of several design steps as follows: the generation of a candidate route set, the route analysis and evaluation process, the selection process of a optimal route set Future study will focus on a development of detailed OD trip table based on bus stop, systematic transit route network evaluation model. updated transit trip assignment technique and advanced solution search algorithm for BTRNDP.

An Automatic Rhythm and Melody Composition System Considering User Parameters and Chord Progression Based on a Genetic Algorithm (유전알고리즘 기반의 사용자 파라미터 설정과 코드 진행을 고려한 리듬과 멜로디 자동 작곡 시스템)

  • Jeong, Jaehun;Ahn, Chang Wook
    • Journal of KIISE
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    • v.43 no.2
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    • pp.204-211
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    • 2016
  • In this paper, we propose an automatic melody composition system that can generate a sophisticated melody by adding non-harmony tone in the given chord progression. An overall procedure consists of two steps, which are the rhythm generation and melody generation parts. In the rhythm generation part, we designed new fitness functions for rhythm that can be controlled by a user setting parameters. In the melody generation part, we designed new fitness functions for melody based on harmony theory. We also designed evolutionary operators that are conducted by considering a musical context to improve computational efficiency. In the experiments, we compared four metaheuristics to optimize the rhythm fitness functions: Simple Genetic Algorithm (SGA), Elitism Genetic Algorithm (EGA), Differential Evolution (DE), and Particle Swarm Optimization (PSO). Furthermore, we compared proposed genetic algorithm for melody with the four algorithms for verifying performance. In addition, composition results are introduced and analyzed with respect to musical correctness.

Discrete Optimization of Structural System by Using the Harmony Search Heuristic Algorithm with Penalty Function (벌칙함수를 도입한 하모니서치 휴리스틱 알고리즘 기반 구조물의 이산최적설계법)

  • Jung, Ju-Seong;Choi, Yun-Chul;Lee, Kang-Seok
    • Journal of the Architectural Institute of Korea Structure & Construction
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    • v.33 no.12
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    • pp.53-62
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    • 2017
  • Many gradient-based mathematical methods have been developed and are in use for structural size optimization problems, in which the cross-sectional areas or sizing variables are usually assumed to be continuous. In most practical structural engineering design problems, however, the design variables are discrete. The main objective of this paper is to propose an efficient optimization method for structures with discrete-sized variables based on the harmony search (HS) meta-heuristic algorithm that is derived using penalty function. The recently developed HS algorithm was conceptualized using the musical process of searching for a perfect state of harmony. It uses a stochastic random search instead of a gradient search so that derivative information is unnecessary. In this paper, a discrete search strategy using the HS algorithm with a static penalty function is presented in detail and its applicability using several standard truss examples is discussed. The numerical results reveal that the HS algorithm with the static penalty function proposed in this study is a powerful search and design optimization technique for structures with discrete-sized members.

Hub-and-spokes service network design for rail freight transportation (철도화물운송을 위한 Hub-and-spokes서비스네트워크 디자인모형의 개발)

  • 정승주
    • Proceedings of the KOR-KST Conference
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    • 2003.02a
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    • pp.75-93
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    • 2003
  • Hub-and-spokes전략은 교통분야에서 널리 이용되는 네트워크전략이지만, 철도의 경우 대개 이 전략을 이용하기 어려운 네트워크구조를 가지고 있어 그 적용사례를 찾아보기 어렵다. 그러나 유럽에서는 철도망이 도로망처럼 조밀하게 형성되어 있다는 점과 환적 처리기술의 발달로 90년대 초부터 이 전략이 철도화물운송부문에도 도입되기 시작했다. 이러한 관점에서 본 논문은 철도화물운송망에서의 hub-and-spokes전략을 구현하는 서비스네트워크 디자인모형을 개발하고, 모델의 실제철도망에의 적용성을 평가한다. 개발되는 모형이 전략모형임에도 불구하고 모형에서는 일반화된 운영비용 외에 열차속도, 서비스빈도, 터미널에서의 화물처리속도 등에 따른 시간지체비용도 고려되었다. 시간지체비용의 고려에 따라 야기되는 비선형 목적함수는 빈도별 서비스결정변수의 설정을 통해 선형화되어 결과적으로 모형은 선형 binary정수 최적화문제로 표현되었다. 규모가 큰 네트워크의 경우 해도출의 어려움 때문에 본 논문은 전체문제의 분할(decomposition)에 기초한 휴리스틱방법((heuristic method)으로 해결한다. 해도출의 효율성을 높이기 위해 서비스빈도개선과 관련하여 세 알고리즘이 개발되었다. 개발된 알고리즘은 유럽의 실제네트워크를 기초로 도출한 4개의 테스트문제에 적용되어, 해의 정확도와 해 도출의 효율성이 비교·평가되었다.

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