• Title/Summary/Keyword: Local search

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A Minimum Expected Length Insertion Algorithm and Grouping Local Search for the Heterogeneous Probabilistic Traveling Salesman Problem (이종 확률적 외판원 문제를 위한 최소 평균거리 삽입 및 집단적 지역 탐색 알고리듬)

  • Kim, Seung-Mo;Choi, Ki-Seok
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.33 no.3
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    • pp.114-122
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    • 2010
  • The Probabilistic Traveling Salesman Problem (PTSP) is an important topic in the study of traveling salesman problem and stochastic routing problem. The goal of PTSP is to find a priori tour visiting all customers with a minimum expected length, which simply skips customers not requiring a visit in the tour. There are many existing researches for the homogeneous version of the problem, where all customers have an identical visiting probability. Otherwise, the researches for the heterogeneous version of the problem are insufficient and most of them have focused on search base algorithms. In this paper, we propose a simple construction algorithm to solve the heterogeneous PTSP. The Minimum Expected Length Insertion (MELI) algorithm is a construction algorithm and consists of processes to decide a sequence of visiting customers by inserting the one, with the minimum expected length between two customers already in the sequence. Compared with optimal solutions, the MELI algorithm generates better solutions when the average probability is low and the customers have different visiting probabilities. We also suggest a local search method which improves the initial solution generated by the MELI algorithm.

A Probabilistic Filtering Technique for Improving the Efficiency of Local Search (국지적 탐색의 효율향상을 위한 확률적 여과 기법)

  • Kang, Byoung-Ho;Ryu, Kwang-Ryel
    • Journal of KIISE:Software and Applications
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    • v.34 no.3
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    • pp.246-254
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    • 2007
  • Local search algorithms start from a certain candidate solution and probe its neighborhood to find ones with improved quality. This paper proposes a method of probabilistically filtering out bad-looking neighbors based on a simple low-cost preliminary evaluation heuristics. The probabilistic filtering enables us to save time wasted on fully evaluating those solutions that will eventually be trashed, and thus improves the search efficiency by allowing us to spend more time on examining better looking solutions. Experiments with two large-scaled real-world problems, which are a traffic signal control problem in traffic network and a load balancing problem in production scheduling, have shown that the proposed method finds better quality solutions, given the same amount of CPU time.

Hybrid Genetic Algorithm for Classifier Ensemble Selection (분류기 앙상블 선택을 위한 혼합 유전 알고리즘)

  • Kim, Young-Won;Oh, Il-Seok
    • The KIPS Transactions:PartB
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    • v.14B no.5
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    • pp.369-376
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    • 2007
  • This paper proposes a hybrid genetic algorithm(HGA) for the classifier ensemble selection. HGA is added a local search operation for increasing the fine-turning of local area. This paper apply hybrid and simple genetic algorithms(SGA) to the classifier ensemble selection problem in order to show the superiority of HGA. And this paper propose two methods(SSO: Sequential Search Operations, CSO: Combinational Search Operations) of local search operation of hybrid genetic algorithm. Experimental results show that the HGA has better searching capability than SGA. The experiments show that the CSO considering the correlation among classifiers is better than the SSO.

Optimal Design of Municipal Water Distribution System (관수로 시스템의 최적설계)

  • Ahn, Tae Jin;Park, Jung Eung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.6
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    • pp.1375-1383
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    • 1994
  • The water distribution system problem consists of finding a minimum cost system design subject to hydraulic and operational constraints. Since the municipal water distribution system problem is nonconvex with multiple local minima, classical optimization methods find a local optimum. An outer flow search - inner optimization procedure is proposed for choosing a better local minimum for the water distribution systems. The pipe network is judiciously subjected to the outer search scheme which chooses alternative flow configurations to find an optimal flow division among pipes. Because the problem is nonconvex, a global search scheme called Stochastic Probing method is employed to permit a local optimum seeking method to migrate among various local minima. A local minimizer is employed for the design of least cost diameters for pipes in the network. The algorithm can also be employed for optimal design of parallel expansion of existing networks. In this paper one municipal water distribution system is considered. The optimal solutions thus found have significantly smaller costs than the ones reported previously by other researchers.

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COMBINING TRUST REGION AND LINESEARCH ALGORITHM FOR EQUALITY CONSTRAINED OPTIMIZATION

  • Yu, Zhensheng;Wang, Changyu;Yu, Jiguo
    • Journal of applied mathematics & informatics
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    • v.14 no.1_2
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    • pp.123-136
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    • 2004
  • In this paper, a combining trust region and line search algorithm for equality constrained optimization is proposed. At each iteration, we only need to solve the trust region subproblem once, when the trust region trial step can not be accepted, we switch to line search to obtain the next iteration. Hence, the difficulty of repeated solving trust region subproblem in an iterate is avoided. In order to allow the direction of negative curvature, we add second correction step in trust region step and employ nonmonotone technique in line search. The global convergence and local superlinearly rate are established under certain assumptions. Some numerical examples are given to illustrate the efficiency of the proposed algorithm.

Sinusoidal Map Jumping Gravity Search Algorithm Based on Asynchronous Learning

  • Zhou, Xinxin;Zhu, Guangwei
    • Journal of Information Processing Systems
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    • v.18 no.3
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    • pp.332-343
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    • 2022
  • To address the problems of the gravitational search algorithm (GSA) in which the population is prone to converge prematurely and fall into the local solution when solving the single-objective optimization problem, a sine map jumping gravity search algorithm based on asynchronous learning is proposed. First, a learning mechanism is introduced into the GSA. The agents keep learning from the excellent agents of the population while they are evolving, thus maintaining the memory and sharing of evolution information, addressing the algorithm's shortcoming in evolution that particle information depends on the current position information only, improving the diversity of the population, and avoiding premature convergence. Second, the sine function is used to map the change of the particle velocity into the position probability to improve the convergence accuracy. Third, the Levy flight strategy is introduced to prevent particles from falling into the local optimization. Finally, the proposed algorithm and other intelligent algorithms are simulated on 18 benchmark functions. The simulation results show that the proposed algorithm achieved improved the better performance.

The Strategies for Exploring Various Regions and Recognizing Local Minimum of Particle Swarm Optimization (PSO의 다양한 영역 탐색과 지역적 미니멈 인식을 위한 전략)

  • Lee, Young-Ah;Kim, Tack-Hun;Yang, Sung-Bong
    • The KIPS Transactions:PartB
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    • v.16B no.4
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    • pp.319-326
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    • 2009
  • PSO(Particle Swarm Optimization) is an optimization algorithm in which simple particles search an optimal solution using shared information acquired through their own experiences. PSO applications are so numerous and diverse. Lots of researches have been made mainly on the parameter settings, topology, particle's movement in order to achieve fast convergence to proper regions of search space for optimization. In standard PSO, since each particle uses only information of its and best neighbor, swarm does not explore diverse regions and intended to premature to local optima. In this paper, we propose a new particle's movement strategy in order to explore diverse regions of search space. The strategy is that each particle moves according to relative weights of several better neighbors. The strategy of exploring diverse regions is effective and produces less local optimizations and accelerating of the optimization speed and higher success rates than standard PSO. Also, in order to raise success rates, we propose a strategy for checking whether swarm falls into local optimum. The new PSO algorithm with these two strategies shows the improvement in the search speed and success rate in the test of benchmark functions.

Improvement of dynamic encoding algorithm for searches (DEAS) using hopping unidirectional search (HUDS)

  • Choi, Seong-Chul;Kim, Nam-Gun;Kim, Jong-Wook;Kim, Sang-Woo
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.324-329
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    • 2005
  • Dynamic Encoding Algorithm for Searches (DEAS) which is known as a fast and reliable non-gradient optimization method, was proposed [1]. DEAS reaches local or global optimum with binary strings (or binary matrices for multi-dimensional problem) by iterating the two operations; bisectional search (BSS) and unidirectional search (UDS). BSS increases binary strings by one digit (i.e., 0 or 1), while UDS performs increment or decrement of binary strings in the BSS' result direction with no change of string length. Because the interval of UDS exponentially decreases with increment of bit string length (BSL), DEAS is difficult to escape from local optimum when DEAS falls into local optimum. Therefore, this paper proposes hopping UDS (HUDS) which performs UDS by hopping as many as BSL in the final point of UDS process. HUDS helps to escape from local optimum and enhances a probability searching global optimization. The excellent performance of HUDS will be validated through the well-known benchmark functions.

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Mixed-Norm Patch Similarity Search for Self-Example-based Single Image Super-Resolution (자가 표본 기반 단일 영상 초해상도 복원을 위한 혼합 놈 패치 유사도 검색)

  • Oh, Jong-Geun;Hong, Min-Cheol
    • Journal of IKEEE
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    • v.22 no.2
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    • pp.491-494
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    • 2018
  • This paper presents a similarity search method based on mixed norm for enhancing self-example-based single image super-resolution. In order to incorporate the local statistical characteristics of the patches into the super-resolution image reconstruction, we propose a method to determine the order of the norm according to the patch inclination and use it as a similarity search between patches. Experimental results demonstrate that the proposed similarity search method has the capability to improve the performance of existing search method.

A Study on Image Segmentation and Tracking based on Fuzzy Method (퍼지기법을 이용한 영상분할 및 물체추적에 관한 연구)

  • Lee, Min-Jung;Jin, Tae-Seok;Hwang, Gi-Hyung
    • Journal of the Korean Institute of Intelligent Systems
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    • v.17 no.3
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    • pp.368-373
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    • 2007
  • In recent year s there have been increasing interests in real-time object tracking with image information. This dissertation presents a real-time object tracking method through the object recognition based on neural networks that have robust characteristics under various illuminations. This dissertation proposes a global search and a local search method to track the object in real-time. The global search recognizes a target object among the candidate objects through the entire image search, and the local search recognizes and track only the target object through the block search. This dissertation uses the object color and feature information to achieve fast object recognition. The experiment result shows the usefulness of the proposed method is verified.