• Title/Summary/Keyword: Salesman problem

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A Comparative Study of Genetic Ordering for the Sequential Ordering Problem (Sequential Ordering Problem을 위한 유전 연산자의 비교)

  • 이혜리;이건명
    • Proceedings of the Korean Information Science Society Conference
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    • 1998.10c
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    • pp.42-44
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    • 1998
  • Sequential Ordering Problem(SOP)은 여러 개의 도시를 방문함에 있어 '어떤 도시를 다른 도시보다 먼저 방문해야 한다'는 선행제약이 있는 비대칭 순회 세일즈맨 문제(Traveling Salesman Problem)로서, 주어진 선행 제약을 만족하면서 모든 도시를 한번씩만 경유하는 가장 짧은 경로를 찾는 NP-Complete에 속하는 문제이다. 유전자 알고리즘은 SOP와 같은 조합 최적화문제에 대해 유용한 메타휴리스틱의 한가지이다. 본 논문에서는 SOP에 유전자 알고리즘을 적용할 때, 선행제약을 만족하는 해를 생성하는데 사용할 수 있는 선행관계유지 유전 연산자를 소개하고 이를 비교한다. 비교하는 유전 연산자는 선행관계유지 교차연산자, 선행관계유지 순서기반 교차연산자, 최대부분순서/임의삽입 연산자, 선행관계유지 간선재결합 연산자이다.

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A Hybrid Routing Protocol Based on Bio-Inspired Methods in a Mobile Ad Hoc Network

  • Alattas, Khalid A
    • International Journal of Computer Science & Network Security
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    • v.21 no.1
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    • pp.207-213
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    • 2021
  • Networks in Mobile ad hoc contain distribution and do not have a predefined structure which practically means that network modes can play the role of being clients or servers. The routing protocols used in mobile Ad-hoc networks (MANETs) are characterized by limited bandwidth, mobility, limited power supply, and routing protocols. Hybrid routing protocols solve the delay problem of reactive routing protocols and the routing overhead of proactive routing protocols. The Ant Colony Optimization (ACO) algorithm is used to solve other real-life problems such as the travelling salesman problem, capacity planning, and the vehicle routing challenge. Bio-inspired methods have probed lethal in helping to solve the problem domains in these networks. Hybrid routing protocols combine the distance vector routing protocol (DVRP) and the link-state routing protocol (LSRP) to solve the routing problem.

Energy-efficient charging of sensors for UAV-aided wireless sensor network

  • Rahman, Shakila;Akter, Shathee;Yoon, Seokhoon
    • International Journal of Internet, Broadcasting and Communication
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    • v.14 no.4
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    • pp.80-87
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    • 2022
  • Lack of sufficient battery capacity is one of the most important challenges impeding the development of wireless sensor networks (WSNs). Recent innovations in the areas of wireless energy transfer and rechargeable batteries have made it possible to advance WSNs. Therefore, in this article, we propose an energy-efficient charging of sensors in a WSN scenario. First, we have formulated the problem as an integer linear programming (ILP) problem. Then a utility function-based greedy algorithm named UGreedy/UF1 is proposed for solving the problem. Finally, the performance of UGreedy/UF1 is analyzed along with other baseline algorithms: UGreedy/UF2, 2-opt TSP, and Greedy TSP. The simulation results show that UGreedy/UF1 performs better than others both in terms of the deadline missing ratio of sensors and the total energy consumption of UAVs.

Optimal Algorithm of Path in the Part-Matching Process (부품 조립 공정에서 경로의 최적화 알고리즘)

  • Oh, Je-Hui;Cha, Young-Youp
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.8
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    • pp.122-129
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    • 1997
  • In this paper, we propose a Hopfield model for solving the part-matching in case that is the number of parts and positions are changed. The goal of this paper is to minimize part-connection in pairs and total path of part-connections. Therefore, this kind of problem is referred to as a combinatiorial optimization problem. First of all, we review the theoretical basis for Hopfield model and present two optimal algorithms of part-matching. The first algorithm is Traveling Salesman Problem(TSP) which improved the original and the second algorithm is Wdighted Matching Problem (WMP). Finally, we show demonstration through com- puter simulation and analyze the stability and feasibility of the generated solutions for the proposed con- nection methods. Therefore, we prove that the second algorithm is better than the first algorithm.

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Pick Up and Delivery Vehicle Routing Problem Under Time Window Using Single Hub (단일 허브를 이용한 시간 제약이 존재하는 수거 및 배달 차량 경로 문제)

  • Kim, Jiyong
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.42 no.4
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    • pp.16-22
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    • 2019
  • After Dantzig and Rasmer introduced Vehicle Routing Problem in 1959, this field has been studied with numerous approaches so far. Classical Vehicle Routing Problem can be described as a problem of multiple number of homogeneous vehicles sharing a same starting node and having their own routes to meet the needs of demand nodes. After satisfying all the needs, they go back to the starting node. In order to apply the real world problem, this problem had been developed with additional constraints and pick up & delivery model is one of them. To enhance the effectiveness of pick up & delivery, hub became a popular concept, which often helps reducing the overall cost and improving the quality of service. Lots of studies have suggested heuristic methods to realize this problem because it often becomes a NP-hard problem. However, because of this characteristic, there are not many studies solving this problem optimally. If the problem can be solved in polynomial time, optimal solution is the best option. Therefore, this study proposes a new mathematical model to solve this problem optimally, verified by a real world problem. The main improvements of this study compared to real world case are firstly, make drivers visit every nodes once except hub, secondly, make drivers visit every nodes at the right time, and thirdly, make drivers start and end their journey at their own homes.

Path planning of the J-lead inspection using hopfield model (홉필드 모델을 이용한 J-리드 검사 경로 생성)

  • 이중호;차영엽
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1774-1777
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    • 1997
  • As factory automation is required, using the vision system is also essential. Especially, the pateh planning of parts with J-lead on PCB plays a import role of whole automation. Path planning is required because J-lead is scatteed compaed to L-lead on PCB. Therefore, in this paper, we propose path planning of part inspection with J-lead to use Hopfield Model(TSP : Traveling Salesman Problem). Then optical system suited to J-lead inspection is designed and the algorithm of J-lead solder joint and part inspection is proposed.

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Distributed Genetic Algorithm using Multi-agent for the Traveling Salesman Problem (외판원 문제를 위한 다중 에이전트를 이용한 분산 유전 알고리즘)

  • 김정숙
    • Proceedings of the Korea Multimedia Society Conference
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    • 2001.11a
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    • pp.896-899
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    • 2001
  • 본 논문에서는 외판원 문제를 분산 시스템 환경에서, 다중 에이전트를 이용해 수법시간을 단축시키고, 더욱 우수한 근접해를 구할 수 있는 분산 유전 알고리즘을 개발하였다. 다중 후보해를 이용한 분산 유전 알고리즘을 수행할 때, 고려해야 할 중요한 요소는 후보해들 간의 개체들을 어떤 노드의 후보해 개체와 교환할 것인가와 어떤 개체들을 선택해서, 얼마만큼의 개체를 이동시킨 것인가가 중요하게 고려독어야 한다. 따라서 본 논문에서는 교환해야 할 개체의 크기를 동적으로 윈도우 크기를 변경하면서 교환하는 방법을 개발하였고, 교환할 개체들의 위치를 결정하는 새로운 유전 이동 정책 2가지 방법을 개발하고 실험하였다.

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Adaptive Coefficients for Hopfield Neural Networks Solving Combinatorial Optimization Problems (최적화를 위한 홉필드 신경망의 적응적 신경계수 결정)

  • Chiyeon Park;Kuinam J. Kim
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.21 no.45
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    • pp.113-120
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    • 1998
  • 본 논문에서는 에너지 함수의 직접적인 평가에 기초해 홉필드 신경망을 진화시킴에 따라 적응적으로 에너지 계수를 결정하는 기법을 제시하고자 한다. 이 기법에 근거하여 구해지는 계수들의 효과를 검증하기 위해 응용 모델인 TSP(Traveling Salesman Problem)에 적용하여, 실험을 통한 계수 값의 변화 추이를 분석하고 그 결과를 기존의 기법들과 비교한다. 또한 제안된 방법에 필수적인 각 단계에서의 에너지 값의 평가를 위한 부가적인 연산을 줄이기 위해 단계적으로 증감분만을 계산하는 효율적인 연산법을 제시한다.

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Migration Policy in Distributed Genetic Algorithm Using Multi-Agent for the Traveling Salesman Problem (외판원 문제를 위한 다중 에이전트를 이용한 부산 유전 알고리즘의 이주 정책)

  • 김정숙;이희영
    • Proceedings of the Korea Multimedia Society Conference
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    • 2004.05a
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    • pp.851-854
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    • 2004
  • 분산 유전 알고리즘은 외판원 문제를 해결하는데 효율적이고 적용하기 쉬운 알고리즘이다. 그러나 다중 후보해를 가진 분산 유전 알고리즘을 수행할 때, 효율성과 정확성에 영향을 주는 많은 요소들이 고려되어야 한다. 후보해의 크기를 얼마로 할 것인지, 이주의 비율 및 횟수는 어떻게 할 것인지와 그리고 어떤 개체들을 선택해서, 어떤 후보해 개체와 교환할 것인가가 중요하게 고려되어야 한다. 따라서 본 논문에서는 이주해야 할 개체의 크기를 동적으로 변경하면서 교환하는 방법과 또한 개체들이 이주되어야 할 위치를 결정하는 이주 정책을 개발하고 실험하였다.

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A Heuristic Method for Max ($\bar{x}$, $\bar{y}$) TSP (Max($\bar{x}$, $\bar{y}$) TSP 를 위한 발견적 해법)

  • Lee, Hwa-Ki;Seo, Sang-Moon
    • Journal of Korean Institute of Industrial Engineers
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    • v.19 no.3
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    • pp.37-49
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    • 1993
  • In this paper, the TSP(traveling salesman problem) which its costs(distance) between nodes are defined with Max($\bar{x}$, $\bar{y}$) has been dealt. In order to find a satisfactory solution for this kind of problem, we generate weighted matrix, and then develope a new heuristic problem solving method using the weighted matrix. Also we analyze the effectiveness of the newly developed heuristic method comparing it with other heuristic algorithm already exists for Euclidean TSP. Finally, we apply a new developed algorithm to real Max($\bar{x}$,$\bar{y}$) TSP such as PCB inserting.

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