• 제목/요약/키워드: Travelling Salesman Problem

검색결과 37건 처리시간 0.028초

자기조작화 신경망을 이용한 복수차량의 실시간 경로계획 (Realtime Multiple Vehicle Routing Problem using Self-Organization Map)

  • 이종태;장재진
    • 한국경영과학회지
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    • 제25권4호
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    • pp.97-109
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    • 2000
  • This work proposes a neural network approach to solve vehicle routing problems which have diverse application areas such as vehicle routing and robot programming. In solving these problems, classical mathematical approaches have many difficulties. In particular, it is almost impossible to implement a real-time vehicle routing with multiple vehicles. Recently, many researchers proposed methods to overcome the limitation by adopting heuristic algorithms, genetic algorithms, neural network techniques and others. The most basic model for path planning is the Travelling Salesman Problem(TSP) for a minimum distance path. We extend this for a problem with dynamic upcoming of new positions with multiple vehicles. In this paper, we propose an algorithm based on SOM(Self-Organization Map) to obtain a sub-optimal solution for a real-time vehicle routing problem. We develope a model of a generalized multiple TSP and suggest and efficient solving procedure.

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열린 윤곽선 부재로 이루어진 판재의 절단가공경로 최적화를 위한 혼합형 유전알고리즘 (A Hybrid Genetic Algorithm for Optimizing Torch Paths to Cut Stock Plates Nested with Open Contours)

  • 이문규
    • 산업경영시스템학회지
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    • 제33권3호
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    • pp.30-39
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    • 2010
  • This paper considers a problem of optimizing torch paths to cut stock plates nested with open contours. For each contour, one of the two ending points is to be selected as a starting point of cutting with the other being the exit point. A torch path is composed of a single depot and a series of starting and ending points of contours to be cut. The torch path optimization problem is shown to be formulated as an extended version of the standard travelling salesman problem. To solve the problem, a hybrid genetic algorithm with the local search of torch paths is proposed. The genetic algorithm is tested for hypothetical problems whose optimal solutions are known in advance due to the special structure of them. The computational results show that the algorithm generates very near optimal solutions for most cases of the test problems, which verifies the validity of the algorithms.

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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    • 제21권1호
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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.

Minimum time path planning of robotic manipulator in drilling/spot welding tasks

  • Zhang, Qiang;Zhao, Ming-Yong
    • Journal of Computational Design and Engineering
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    • 제3권2호
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    • pp.132-139
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    • 2016
  • In this paper, a minimum time path planning strategy is proposed for multi points manufacturing problems in drilling/spot welding tasks. By optimizing the travelling schedule of the set points and the detailed transfer path between points, the minimum time manufacturing task is realized under fully utilizing the dynamic performance of robotic manipulator. According to the start-stop movement in drilling/spot welding task, the path planning problem can be converted into a traveling salesman problem (TSP) and a series of point to point minimum time transfer path planning problems. Cubic Hermite interpolation polynomial is used to parameterize the transfer path and then the path parameters are optimized to obtain minimum point to point transfer time. A new TSP with minimum time index is constructed by using point-point transfer time as the TSP parameter. The classical genetic algorithm (GA) is applied to obtain the optimal travelling schedule. Several minimum time drilling tasks of a 3-DOF robotic manipulator are used as examples to demonstrate the effectiveness of the proposed approach.

SMD기계의 PCB 생산순서 결정을 위한 발견적 기법 (Heuristics for Sequencing Printed Circuit Boards on a Surface Mount Device Placement Machine)

  • 송창용;신성환
    • 산업공학
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    • 제13권2호
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    • pp.195-203
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    • 2000
  • This paper considers the problem of sequencing printed circuit boards(PCBs) on an automatic surface mount device(SMD) placement machine in order to minimize total setup time. Since the total set of component feeders needed by all boards cannot be loaded simultaneously on the magazine, the setup must be made between two successive boards in the sequence. It is assumed that the setup time depends on the number of component feeders to be replaced in the magazine. An important characteristic is that each feeder occupies a different number of slots in the magazine. This problem is equivalent to travelling salesman problem(TSP) except that the distances between two cities, that is, the setup times between two boards, are not known in advance. So, TSP-based heuristics with new distance functions are presented and their performances are compared through various test problems. Computational results indicate that our heuristics outperform existing methods.

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

  • 김지용
    • 산업경영시스템학회지
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    • 제42권4호
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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.

IEEE 802.11 무선랜 시스템에서 PCF 프로토콜의 성능을 향상시키기 위한 최적의 폴링 방식 (Optimal Polling Method for Improving PCF MAC Performance in IEEE 802.11 Wireless LANs)

  • 최우용;이상완
    • 대한산업공학회지
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    • 제32권1호
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    • pp.1-8
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    • 2006
  • A modified PCF(Point Coordination Function) protocol with the optimal polling sequence is defined in detail and shown to improve the efficiency of the conventional PCF protocol in IEEE 802.11 wireless LAN standard. The problem for the optimal polling sequence is formulated as TSP(Travelling Salesman Problem) with the distance values of 1's or 0's. Numerical examples show that the optimal polling sequence increases the capacity of the real-time service such as VoIP(Voice over Internet Protocol).

DNA computing using a difference of melting temperature among DNA fragments

  • 이지연;신수용;장병탁;박태현
    • 한국생물공학회:학술대회논문집
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    • 한국생물공학회 2002년도 생물공학의 동향 (X)
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    • pp.539-542
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    • 2002
  • We propose new encoding method for numerical data in DNA using temperature gradient. To represent numerical values in DNA sequences, we introduce melting temperature. Since DNA strands representing smaller values have a lower Tm, they tend to denature with ease and also easily amplified by denaturation temperature gradient PCR. We also implement a local search molecular algorithm using temperature gradient, which is contrasted to conventional exhaustive search molecular algorithms. The proposed methods are verified by solving an instance of the travelling salesman problem. We could effectively amplify the correct solutions and the use of temperature gradient made the detection of solutions easier.

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개미군락최적화 알고리즘을 이용한 트러스 구조물의 설계최적화 (Truss Design Optimization using Ant Colony Optimization Algorithm)

  • 이상진;한우동
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2010년도 정기 학술대회
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    • pp.709-712
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    • 2010
  • 본 논문은 개미군락최적화 알고리즘을 이용한 트러스 구조물의 설계최적화에 대한 이론적 배경과 수치해석 결과를 기술하였다. 트러스의 설계최적화를 수행하기 위하여 구조물의 중량을 최소화하는 것을 목적 함수로 하고 구조물에서 발생하는 응력과 변위의 허용치를 초과하지 않는 것을 구속조건으로 이용하였다. 본 연구에서는 개미군락알고리즘을 구조물의 최적화에 적용하기 위하여 외판원문제(travelling salesman problem: TSP)를 재 정의하는 방법을 사용하였으며 최대-최소개미시스템(max-min ant system)을 도입하여 트러스 구조물의 최적설계를 수행하였다. 이때 이산화 된 설계변수를 사용하였으며 구속조건을 처리하기 위해서 벌점함수를 사용하였다. 본 연구를 통하여 개미군락최적화 알고리즘은 구조최적화에 그 적용 가능성이 높았으며 전통적인 최적검색 기법의 새로운 대안으로 이용될 수 있는 것으로 나타났다.

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신경회로망 방식에 의한 복잡한 포켓형상의 황삭경로 생성 (Neural network based tool path planning for complex pocket machining)

  • 신양수;서석환
    • 한국정밀공학회지
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    • 제12권7호
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    • pp.32-45
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    • 1995
  • In this paper, we present a new method to tool path planning problem for rough cut of pocket milling operations. The key idea is to formulate the tool path problem into a TSP (Travelling Salesman Problem) so that the powerful neural network approach can be effectively applied. Specifically, our method is composed of three procedures: a) discretization of the pocket area into a finite number of tool points, b) neural network approach (called SOM-Self Organizing Map) for path finding, and c) postprocessing for path smoothing and feedrate adjustment. By the neural network procedure, an efficient tool path (in the sense of path length and tool retraction) can be robustly obtained for any arbitrary shaped pockets with many islands. In the postprocessing, a) the detailed shape of the path is fine tuned by eliminating sharp corners of the path segments, and b) any cross-overs between the path segments and islands. With the determined tool path, the feedrate adjustment is finally performed for legitimate motion without requiring excessive cutting forces. The validity and powerfulness of the algorithm is demonstrated through various computer simulations and real machining.

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