• 제목/요약/키워드: local optimal solution

검색결과 215건 처리시간 0.026초

DNN과 k-opt를 적용한 대규모 외판원 문제의 최적 해법 (Optimal Solution of a Large-scale Travelling Salesman Problem applying DNN and k-opt)

  • 이상운
    • 한국인터넷방송통신학회논문지
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    • 제15권4호
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    • pp.249-257
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    • 2015
  • 본 논문은 지금까지 해결하지 못한 난제 중 하나인 외판원 문제의 최적 해를 구하는 발견적 알고리즘을 제안한다. 제안된 알고리즘은 초기 경로를 결정하기 위해 기존의 DNN을 변형한 SW-DNN, DW-DNN과 DC-DNN을 제안하였다. 초기 해는 DNN, SW-DNN, DW-DNN과 DC-DNN을 적용하여 최소 경로 길이를 가진 방법을 선택한다. 초기 해에 대해 최적 해를 구하기 위해 먼저 삭제 대상 간선을 선택하는 방법을 결정하였으며, 이들 간선들에 대해 지역 탐색 방법인 k-opt 중에서 2, 2.5, 3-opt를 먼저 적용하고, 삭제 대상 간선들 중 삭제되지 않은 간선들에 대해 4-opt를 적용하였다. 제안된 알고리즘을 대규모의 TSP인 26개의 유럽 도시들을 방문하는 TSP-1과 49개의 미국 도시들을 방문하는 TSP-2에 적용한 결과 모두 최적 해를 구하는데 성공하였다. 제안된 알고리즘은 지금까지 발견적 방법으로는 TSP의 최적 해를 구하지 못한다는 미신을 타파하였고, TSP의 알고리즘으로 적용할 수 있을 것이다.

유전자 알고리즘을 이용한 변동부등식 제약하의 연속형 가로망 설계 (A Genetic Algorithm Approach to the Continuous Network Design Problem with Variational Inequality Constraints)

  • 김재영;임강원
    • 대한교통학회지
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    • 제18권1호
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    • pp.61-73
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    • 2000
  • 이 논문은 변동부등식을 제약조건으로 하는 연속형 변수의 가로망 설계 문제를 풀기 위한 해석 알고리즘을 제시하는 것을 목적으로 한다. 가로망 설계 문제는 문제의 특성상 비선형의 목적함수와 비선형. 비볼록한 제약식으로 인해 다수의 국지해를 갖으며, 이러한 여러 국지해 중 가장 최적의 해를 구하는 것에 관심이 모아지고 있다. 전역 최적해를 찾을 수 있는 기존의 방법들은 확률적 최적화 방법에 속하는데 이 논문에서는 유전자 알고리즘의 접근법을 사용하여 2개의 다른 예제 가로망에서 5개의 서로 다른 해석 알고리즘에 대한 비교를 행하였으며. 그 해석결과를 기술하였다. 이 논문에서 사용된 정책결정자의 설계 변수는 가로망상 링크의 용량 변수이며, 연속형 변수의 어떤 설계 변수에도 적절한 변환과정을 거쳐 사용이 가능하다.

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민감도가 고려된 알고리듬을 이용한 최적화 방법에 관한 연구 (A Study on the Optimization Method using the Genetic Algorithm with Sensitivity Analysis)

  • 이재관;신효철
    • 대한기계학회논문집A
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    • 제24권6호
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    • pp.1529-1539
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    • 2000
  • A newly developed optimization method which uses the genetic algorithm combined with the sensitivity analysis is presented in this paper. The genetic algorithm is a probabilistic method, searching the optimum at several points simultaneously, requiring only the values of the object and constraint functions. It has therefore more chances to find global solution and can be applied various problems. Nevertheless, it has such shortcomings that even it approaches the optimum rapidly in the early stage, it slows down afterward and it can't consider the constraints explicitly. It is only because it can't search the local area near the current points. The traditional method, on the other hand, using sensitivity analysis is of great advantage in searching the near optimum. Thus the combination of the two techniques makes use of the individual advantages, that is, the superiority both in global searching by the genetic algorithm and in local searching by the sensitivity analysis. Application of the method to the several test functions verifies that the method suggested is very efficient and powerful to find the global solutions, and that the constraints can be considered properly.

민감도가 고려된 유전 알고리듬을 이용한 보 구조물의 지지점 최적화에 관한 연구 (A Study on the Support location Optimizations of the Beams using the Genetic Algorithm and the Sensitivity Analysis.)

  • 이재관;신효철
    • 소음진동
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    • 제10권5호
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    • pp.783-791
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    • 2000
  • This describes a study on the support location optimizations of the beams using the genetic algorithm and the sensitivity analysis. The genetic algorithm is a probabilistic method searching the optimum at several points simultaneously and requiring only the values of the object and constraint functions. It has therefore more chances to find the global solution and can be applied to the various problems. Nevertheless, it has such a shortcoming that it takes too many calculations, because it is ineffective in local search. While the traditional method using sensitivity analysis is of great advantage in searching the near optimum. thus the combination of the two techniques will make use of the individual advantages, that is, the superiority in global searching form the genetic algorithm and that in local searching form the sensitivity analysis. In this thesis, for the practical applications, the analysis is conducted by FEB ; and as the shapes of structures are taken as the design variation, it requires re-meshing for every analysis. So if it is not properly controlled, the result of the analysis is affected and the optimized solution amy not be the real one. the method is efficiently applied to the problems which the traditional methods are not working properly.

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Optimization of the Travelling Salesman Problem Using a New Hybrid Genetic Algorithm

  • Zakir Hussain Ahmed;Furat Fahad Altukhaim;Abdul Khader Jilani Saudagar;Shakir Khan
    • International Journal of Computer Science & Network Security
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    • 제24권3호
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    • pp.12-22
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    • 2024
  • The travelling salesman problem is very famous and very difficult combinatorial optimization problem that has several applications in operations research, computer science and industrial engineering. As the problem is difficult, finding its optimal solution is computationally very difficult. Thus, several researchers have developed heuristic/metaheuristic algorithms for finding heuristic solutions to the problem instances. In this present study, a new hybrid genetic algorithm (HGA) is suggested to find heuristic solution to the problem. In our HGA we used comprehensive sequential constructive crossover, adaptive mutation, 2-opt search and a new local search algorithm along with a replacement method, then executed our HGA on some standard TSPLIB problem instances, and finally, we compared our HGA with simple genetic algorithm and an existing state-of-the-art method. The experimental studies show the effectiveness of our proposed HGA for the problem.

PC 클러스터 기반 병렬 유전 알고리즘-타부 탐색을 이용한 배전계통 고장 복구 (PC Cluster Based Parallel Genetic Algorithm-Tabu Search for Service Restoration of Distribution Systems)

  • 문경준;이화석;박준호;김형수
    • 대한전기학회논문지:전력기술부문A
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    • 제54권8호
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    • pp.375-387
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    • 2005
  • This paper presents an application of parallel Genetic Algorithm-Tabu Search (GA-TS) algorithm to search an optimal solution of a service restoration in distribution systems. The main objective of service restoration of distribution systems is, when a fault or overload occurs, to restore as much load as possible by transferring the do-energized load in the out of service area via network reconfiguration to the appropriate adjacent feeders at minimum operational cost without violating operating constraints, which is a combinatorial optimization problem. This problem has many constraints with many local minima to solve the optimal switch position. This paper develops parallel GA-TS algorithm for service restoration of distribution systems. In parallel GA-TS, GA operators are executed for each processor. To prevent solutions of low fitness from appearing in the next generation, strings below the average fitness are saved in the tabu list. If best fitness of the GA is not changed for several generations, TS operators are executed for the upper $10\%$ of the population to enhance the local searching capabilities. With migration operation, best string of each node is transferred to the neighboring node after predetermined iterations are executed. For parallel computing, we developed a PC cluster system consists of 8 PCs. Each PC employs the 2 GHz Pentium IV CPU and is connected with others through ethernet switch based fast ethernet. To show the validity of the proposed method, proposed algorithm has been tested with a practical distribution system in Korea. From the simulation results, we can find that the proposed algorithm is efficient for the distribution system service restoration in terms of the solution quality, speedup, efficiency and computation time.

서버의 계산능력을 활용한 네트워크기반 병렬유전자알고리즘의 성능향상 (Performance Improvement of Network Based Parallel Genetic Algorithm by Exploiting Server's Computing Power)

  • 송봉기;김용성;성길영;우종호
    • 전자공학회논문지CI
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    • 제41권4호
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    • pp.67-72
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    • 2004
  • 본 논문에서는 네트워크기반의 클라이언트-서버모델에서 병렬유전자알고리즘의 최적해 수렴속도를 향상시키는 방법을 제안한다. 전역 최적해를 지역 엘리트의 평가만으로 구하는 기존의 방법과는 달리 제안한 방법은 서버에서 지역 엘리트의 평가를 통해 전역 최적해를 구하고 유휴시간에 유전자알고리즘을 적용하여 전역 최적해의 적합도를 개선한다. 서버에서 개선된 전역 최적해를 클라이언트의 유전자알고리즘에서 사용하므로 전체 알고리즘의 최적해 수렴속도가 향상된다 Fmax(g)는 g번째 세대의 최대 적합도, G는 서버에서 개선되는 세대수일 때, 지역 최적해의 이주 시 서버에서 개선되는 적합도는 (equation omitted)(F/sub max/(g)-F/sub max/(g-1)) 이다. 여기서 클라이언트의 수가 증가하면 G가 작아져서 적합도 개선치는 줄어드나 기존의 방법보다 적합도가 개선됨을 확인할 수 있었다.

데이터 클러스터링을 위한 혼합 시뮬레이티드 어닐링 (Hybrid Simulated Annealing for Data Clustering)

  • 김성수;백준영;강범수
    • 산업경영시스템학회지
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    • 제40권2호
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    • pp.92-98
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    • 2017
  • Data clustering determines a group of patterns using similarity measure in a dataset and is one of the most important and difficult technique in data mining. Clustering can be formally considered as a particular kind of NP-hard grouping problem. K-means algorithm which is popular and efficient, is sensitive for initialization and has the possibility to be stuck in local optimum because of hill climbing clustering method. This method is also not computationally feasible in practice, especially for large datasets and large number of clusters. Therefore, we need a robust and efficient clustering algorithm to find the global optimum (not local optimum) especially when much data is collected from many IoT (Internet of Things) devices in these days. The objective of this paper is to propose new Hybrid Simulated Annealing (HSA) which is combined simulated annealing with K-means for non-hierarchical clustering of big data. Simulated annealing (SA) is useful for diversified search in large search space and K-means is useful for converged search in predetermined search space. Our proposed method can balance the intensification and diversification to find the global optimal solution in big data clustering. The performance of HSA is validated using Iris, Wine, Glass, and Vowel UCI machine learning repository datasets comparing to previous studies by experiment and analysis. Our proposed KSAK (K-means+SA+K-means) and SAK (SA+K-means) are better than KSA(K-means+SA), SA, and K-means in our simulations. Our method has significantly improved accuracy and efficiency to find the global optimal data clustering solution for complex, real time, and costly data mining process.

지연제약 무선 센서 네트워크를 위한 협력게임 기법에 기반한 전송 파워 제어 기법 (Coalitonal Game Theoretic Power Control for Delay-Constrained Wireless Sensor Networks)

  • 변상선
    • 한국정보통신학회:학술대회논문집
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    • 한국정보통신학회 2015년도 추계학술대회
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    • pp.107-110
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    • 2015
  • 이 논문에서 우리는 자원이 제약된 무선 센서네트워크에서 협력게임이론 (coalitional game theory) 기반의 전송파워제어 문제를 다룬다. 우리가 다루고자 하는 전송파워제어 문제는 각 센서의 에너지 효율성을 목적 함수 (objecitve function) 로 갖고 지연시간을 제약조건으로 갖는다. 이 문제는 two-sided one-to-one matching game 으로 모델링하고 core에 속하는 센서쌍의 매칭을 찾아내기 위해 deferred acceptance procedure (DAP)를 적용한다. Core에 속하는 매칭은 다른 센서와 매칭을 해도 현재 매칭 이상보다 좋은 결과를 가져오지 않는 매칭이 된다. 그리고, DAP를 반복해서 적용하게 되면 특정 안정상태에 도달하게 되는데, 그 안정상태에서는 지연시간제약을 만족시키면서 더 이상 에너지 효율성이 향상되지 않는 것을 보인다. 우리의 결과는 클러스터 기반의 센서 그룹방법과 지역 최적의 해 (local optimal solution)와 비교된다.

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Distribution System Reconfiguration Using the PC Cluster based Parallel Adaptive Evolutionary Algorithm

  • Mun Kyeong-Jun;Lee Hwa-Seok;Park June Ho;Hwang Gi-Hyun;Yoon Yoo-Soo
    • KIEE International Transactions on Power Engineering
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    • 제5A권3호
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    • pp.269-279
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    • 2005
  • This paper presents an application of the parallel Adaptive Evolutionary Algorithm (AEA) to search an optimal solution of a reconfiguration in distribution systems. The aim of the reconfiguration is to determine the appropriate switch position to be opened for loss minimization in radial distribution systems, which is a discrete optimization problem. This problem has many constraints and it is very difficult to find the optimal switch position because of its numerous local minima. In this investigation, a parallel AEA was developed for the reconfiguration of the distribution system. In parallel AEA, a genetic algorithm (GA) and an evolution strategy (ES) in an adaptive manner are used in order to combine the merits of two different evolutionary algorithms: the global search capability of GA and the local search capability of ES. In the reproduction procedure, proportions of the population by GA and ES are adaptively modulated according to the fitness. After AEA operations, the best solutions of AEA processors are transferred to the neighboring processors. For parallel computing, a PC-cluster system consisting of 8 PCs·was developed. Each PC employs the 2 GHz Pentium IV CPU, and is connected with others through switch based fast Ethernet. The new developed algorithm has been tested and is compared to distribution systems in the reference paper to verify the usefulness of the proposed method. From the simulation results, it is found that the proposed algorithm is efficient and robust for distribution system reconfiguration in terms of the solution quality, speedup, efficiency, and computation time.