• Title/Summary/Keyword: Salesman problem

Search Result 211, Processing Time 0.027 seconds

Modified Genetic Operators for the TSP

  • Soak Sang Moon;Yang Yeon Mo;Lee Hong Girl;Ahn Byung Ha
    • Journal of Navigation and Port Research
    • /
    • v.29 no.2
    • /
    • pp.141-146
    • /
    • 2005
  • For a long time, genetic algorithms have been recognized as a new method to solve difficult and complex problems and the performance of genetic algorithms depends on genetic operators, especially crossover operator. Various problems like the traveling salesman problem, the transportation problem or the job shop problem, in logistics engineering can be modeled as a sequencing problem This paper proposes modified genetic crossover operators to be used at various sequencing problems and uses the traveling salesman problem to be applied to a real world problem like the delivery problem and the vehicle routing problem as a benchmark problem Because the proposed operators use parental information as well as network information, they could show better efficiency in performance and computation time than conventional operators.

The Development of a Tour Route Guidance System Using a Traveling Salesman Problem Algorithm (TSP 알고리듬을 이용한 관광노선 안내 시스템 개발)

  • 정영아;구자용
    • Spatial Information Research
    • /
    • v.11 no.3
    • /
    • pp.275-289
    • /
    • 2003
  • This study focused on offering a helpful information for the touring. To develop a tour route guidance tool, it is needed to use a GIS function, which can suggest a possible shortest path based on time and distance. A Traveling salesman problem algorithm, which was developed to solve multi destination problem in network analysis, was used to implement a tour guidance system. This system was developed using ArcObjects programming components within ArcGIS 8.3. Jeju city was selected for the case study to apply the tool and to test the effectiveness of it. This study demonstrated that this tool was considerably effective for finding a probable optimum tour path in the following aspects. First, it can help tourists to select several attractions from numerous tour sites in an area given limited time. Second, tourist can manage time efficiently by organizing their tour courses on the basis of the tool. Third, tourists can reduce the uncertainties that may happen under unexpected situations in unfamiliar places by obtaining specific spatial information using the tool. Fourth, the Graphic User Interface of the tool can be easily used to obtain visual information of spatial data.

  • PDF

Analysis of Tour Information Services using Agent-based Simulation (시뮬레이션 모형을 통한 관광정보서비스 효과 분석)

  • Kim, Hyeon-Myeong;O, Jun-Seok
    • Journal of Korean Society of Transportation
    • /
    • v.24 no.6 s.92
    • /
    • pp.103-117
    • /
    • 2006
  • This study develops an agent-based simulation model to evaluate tourist information systems under ubiquitous environment. In this study, individual tourist's activity chaining behavior is formulated as a utility maximization problem. The underlying assumption of the model is that tourists increase their activities within their time and budget constraints to maximize their utilities. The model seeks individual's optimal tour schedule by solving Prize-Collecting Multiple-Day Traveling Salesman Problem(PC MD TSP). The simulation-based evaluation framework allows investigating individual utility gains by their information type and the total expenditure at each tour attractions. The real-time tour activity scheduling system enables tourists to optimize their tour activities by minimizing their time loss and maximizing their opportunity to use high utility facilities.

A Polynomial Time Algorithm of a Traveling Salesman Problem (외판원 문제의 다항시간 알고리즘)

  • Lee, Sang-Un
    • Journal of the Korea Society of Computer and Information
    • /
    • v.18 no.12
    • /
    • pp.75-82
    • /
    • 2013
  • This paper proposes a $O(n^2)$ polynomial time algorithm to obtain optimal solution for Traveling Salesman problem that is a NP-complete because polynomial time algorithm has been not known yet. The biggest problem in a large-scale Traveling Salesman problem is the fact that the amount of data to be processed is $n{\times}n$, and thus as n increases, the data increases by multifold. Therefore, this paper proposes a methodology by which the data amount is first reduced to approximately n/2. Then, it seeks a bi-directional route at a random point. The proposed algorithm has proved to be successful in obtaining the optimal solutions with $O(n^2)$ time complexity when applied to TSP-1 with 26 European cities and TSP-2 with 46 cities of the USA. It could therefore be applied as a generalized algorithm for TSP.

A Genetic Algorithm with Modified Mutation for the Traveling Salesman Problem (외판원 문제를 위한 변형된 돌연변이를 적용한 유전 알고리즘)

  • 김정숙;홍영식
    • Proceedings of the Korean Information Science Society Conference
    • /
    • 1998.10a
    • /
    • pp.744-746
    • /
    • 1998
  • 외판원(Traveling Salesman Problem)는 계산 복잡도가 매우 높으므로 이를 해결하려는 다양한 방법들이 제시되어 왔다. 최근에는 특히 휴리스틱(Heuristic) 에 기반한 유전 알고리즘(Genetic Algorithm)에 위한 방법이 관심을 집중시키고 있고, 이를 위한 다양한 교잡(Crossiver)연산자와 돌연변이(Mutation) 연산자들이 발표되고 있다. 돌연변이연산자는 지역해에 빠지는 것을 방지하며, 유용한 유전 특성을 잃어버릴 위험이 있는 교잡 연산자의 단점을 보완할 수 있다. 본 논문에서는 새로운 돌연변이 연산자를 개발하여 적용한 유전 알고리즘으로 외판원 문제를 해결한다.

  • PDF

A learning based algorithm for Traveling Salesman Problem (강화학습기법을 이용한 TSP의 해법)

  • 임준묵;길본일수;임재국;강진규
    • Proceedings of the Korean Operations and Management Science Society Conference
    • /
    • 2002.05a
    • /
    • pp.652-656
    • /
    • 2002
  • 본 연구에서는 각 수요지간의 시간이 확률적으로 주어지는 경우의 TSP(Traveling Salesman Problem)를 다루고자 한다. 현실적으로, 도심의 교통 체증 등으로 인해서 각 지점간의 걸리는 시간은 시간대별로 요일별로 심한 변화를 일으키기 마련이다. 그러나, 현재까지의 연구 결과는 수요지간의 경과시간이 확정적으로 주어지는 경우가 대부분으로, 도심물류 등에서 나타나는 현실적인 문제를 해결하는데는 많은 한계가 있다 본 연구에서는 문제의 해법으로 강화학습기법의 하나인 Q학습(Q-Learning)과 Neural Network를 활용한 효율적인 알고리즘을 제시한다.

  • PDF

A Heuristic Algorithm for Asymmetric Traveling Salesman Problem using Hybrid Genetic Algorithm (혼합형 유전해법을 이용한 비대칭 외판원문제의 발견적해법)

  • 김진규;윤덕균
    • Journal of Korean Society of Industrial and Systems Engineering
    • /
    • v.18 no.33
    • /
    • pp.111-118
    • /
    • 1995
  • This paper suggests a hybrid genetic algorithm for asymmetric traveling salesman problem(TSP). The TSP was proved to be NP-complete, so it is difficult to find optimal solution in reasonable time. Therefore it is important to develope an algorithm satisfying robustness. The algorithm applies dynamic programming to find initial solution. The genetic operator is uniform order crossover and scramble sublist mutation. And experiment of parameterization has been performed.

  • PDF

The Generation Organization Technique Removing Redundancy of Chromosome on Genetic Algorithm for Symmetric Traveling Salesman Problem (Symmetric Traveling Salesman Problem을 풀기 위한 Genetic Algorithm에서 유전자의 중복을 제거한 세대 구성 방법)

  • 김행수;정태층
    • Proceedings of the Korean Information Science Society Conference
    • /
    • 1999.10b
    • /
    • pp.9-11
    • /
    • 1999
  • 조합 최적화 문제인 Traveling Salesman problems(TSP)을 Genetic Algorithm(GA)과 Local Search Heuristic인 Lin-Kernighan(LK) Heuristic[2]을 이용하여 접근하는 것은 최적해를 구하기 위해 널리 알려진 방법이다. 이 논문에서는 LK를 이용하여 주어진 TSP 문제에서 Local Optima를 찾고, GA를 이용하여 Local Optimal를 바탕으로 Global Optima를 찾는데 이용하게 된다. 여기서 이런 GA와 LK를 이용하여 TSP 문제를 풀 경우 해가 점점 수렴해가면서 중복된 유전자가 많이 생성된다. 이런 중복된 유전자를 제거함으로써 탐색의 범위를 보다 넓고 다양하게 검색하고, 더욱 효율적으로 최적화를 찾아내는 방법에 대해서 논하겠다. 이런 방법을 이용하여 rat195, gil262, lin318의 TSP문제에서 효율적으로 수행된다.

  • PDF

Cost Relaxation Method to Escape from a Local Optimum of the Traveling Salesman Problem (외판원문제에서 국지해를 탈출하기 위한 비용완화법)

  • Kwon, Sang-Ho;Kim, Sung-Min;Kang, Maing-Kyu
    • Journal of Korean Institute of Industrial Engineers
    • /
    • v.30 no.2
    • /
    • pp.120-129
    • /
    • 2004
  • This paper provides a simple but effective method, cost relaxation to escape from a local optimum of the traveling salesman problem. We would find a better solution if we repeat a local search heuristic at a different initial solution. To find a different initial solution, we use the cost relaxation method relaxing the cost of arcs. We used the Lin-Kernighan algorithm as a local search heuristic. In experimental result, we tested large instances, 30 random instances and 34 real world instances. In real-world instances, we found average 0.17% better above the optimum solution than the Concorde known as the chained Lin-Kernighan. In clustered random instances, we found average 0.9% better above the optimum solution than the Concorde.

An Effective Ant Colony System Optimization for Symmetric Traveling Salesman Problem (Symmetric Traveling Salesman Problem을 해결하기 위해 Ant Colony System에서의 효과적인 최적화 방법에 관한 연구)

  • Jung, Tae-Ung;Lee, Sung-Gwan;Jung, Tae-Chung
    • Proceedings of the Korea Information Processing Society Conference
    • /
    • 2000.10a
    • /
    • pp.321-324
    • /
    • 2000
  • 조합 최적화 문제인 Traveling Salesman problems(TSP)을 Genetic Algorithm(GA)[3]과 Local Search Heuristic Algorithm[8]을 이용하여 접근하는 것은 최적해를 구하기 위해 널리 알려진 방법이다. 본 논문에서는 TSP문제를 해결하기 위한 또 다른 접근법으로, 다수의 Ant들이 Tour들을 찾는 ACS(Ant Colony System) Algorithms[4][6][7]을 소개하고, ACS에서 Global Optima를 찾는 과정에서, 이미 이루어져 있는 Ant들의 Tour결과들을 서로 비교한다. Global Updating Rule에 의해 Global Best Tour 에 속해 있는 각 Ant Tour의 edge들을 update하는 ACS Algorithm에, 각 루프마다 Ant Tour들을 우성과 열성 인자들로 구분하고, 각각의 우성과 열성 인자들에 대해서 Global Updating Rule에 기반한 가중치를 적용(Weight Updating Rule)하므로서 기존의 ACS Algorithm보다 효율적으로 최적 해를 찾아내는 방법에 대해서 논하고자 한다.

  • PDF