• Title/Summary/Keyword: Salesman problem

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On-Machine Measurement of Sculptured Surfaces Based on CAD/CAM/CAI Integration : II. Inspection Planning Strategy (CAD/CAM/CAI 통합에 기초한 자유곡면의 On-Machine Measurement : II. 측정계획 수립)

  • Cho, Myeong-Woo;Kim, Jin-Seop;Seo, Tae-Il;Cho, Jae-H.
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.12
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    • pp.109-118
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    • 1999
  • The objective of this research is to develop an effective inspection planning strategy for sculpture surfaces in OMM(On-Machine Measurement) process. As a first step, effective measuring point locations are determined to obtain optimum results for given sampling numbers. Two measuring point selection methods are suggested in this study based on newly proposed CAD/CAM/CAI integration concept: (1) by the prediction of cutting errors, (2) by considering cutter contact points to avoid the measurement errors caused by cusps. As a next step, the TSP(Traveling Salesman Problem)algorithm is applied to minimize the probe moving distance. Appropriate simulations and experiments are performed to verify the proposed inspection planning strategy in this study, and the results are analyzed.

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A Parallel and Distributed Meta-heuristic Framework (병렬 분산 메타-휴리스틱 프레임워크)

  • Kim, Jin-Woo;Oh, Hyun-Ok;Ha, Soon-Hoi
    • Proceedings of the Korean Information Science Society Conference
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    • 2011.06b
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    • pp.21-24
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    • 2011
  • 본 논문은 확장성(scalability)과 견고함(robustness)을 강조하는 새로운 형태의 병렬 분산 메타-휴리스틱 프레임워크를 제안하고 있다. PADO (Parallel And Distributed Optimization framework) 라고 이름 지어진 본 프레임워크는 이종의 계산 및 통신 자원들을 활용하여 메타-휴리스틱 알고리즘을 병렬화하고 스케일러블한 속도 향상을 얻을 수 있다. 본 프레임워크는 기존의 시퀀셜(sequential) 최적화 프레임워크에 메타-휴리스틱 알고리즘의 병렬화 기법중 하나인 island 모델을 개선하여 구현하였다. 본 연구는 부분적으로 정렬된 지식 공유 방법(Partially Ordered Knowledge Sharing) 모델을 이용하여 병렬 환경 코디네이션(coordination) 오버헤드를 줄였고 계산 노드에 대한 확장성을 얻었다. 본 프레임워크를 통해 기존의 많은 메타-휴리스틱 알고리즘들을 재사용 할 수 있고 다양한 분야의 최적화 문제에 적용 할 수 있으며 계산량이 많은 메타-휴리스틱 알고리즘을 병렬화를 통해 문제를 푸는 시간을 단축 할 수 있다. 순회 판매원 문제(Traveling Salesman Problem)를 통해 프레임워크의 실효성을 검증하였다.

PCR of DNA Computing for the TSP (외판원 문제를 위한 DNA 컴퓨팅의 PCR 연산)

  • Kim, Jung-Sook
    • Proceedings of the Korea Information Processing Society Conference
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    • 2001.10b
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    • pp.1151-1154
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    • 2001
  • 외판원 문제(Traveling Salesman Problem)는 주어진 n개의 도시들과 그 도시들간의 거리비용이 주어졌을 때, 모든 도시들을 정확히 한번씩만 방문하면서 걸린 비용이 최소가 드는 경로를 찾는 문제로 최적해(optimal)을 구하는 것은 전형적인 NP-완전 문제중의 하나이다. 따라서 외판원 문제를 해결하는 다양한 알고리즘들이 개발되고 있다. 특히 요즈음은 실제 생체 분자(bio-molecule)를 계산의 도구로 사용하는 새로운 계산 방법인 DNA 컴퓨팅은 DNA 분자가 잠재적으로 가지고 있는 막대한 병렬성을 이용해서 NP-완전 문제들을 해결하고자 하는 연구들이 땀이 진행되고 있다. 그러나 아직 실제 생체 분자의 특성을 잘 반영하는 계산 모델이나 분자 생물학에서 사용하는 연산들이 많이 개발되지 알아 계산 효율이 비교적 좋지 않다. 따라서 본 논문에서는 외판원 문제를 해결하기 위한 DAN컴퓨팅의 새로운 중합 효소 연쇄 반응(Polymerase Chain Reaction, PCR) 연산을 개발하였다.

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Determination of Vehicle Fleet Size for Container Shuttle Service (컨테이너 셔틀운송을 위한 차량 대수 결정)

  • 고창성;정기호;신재영
    • Korean Management Science Review
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    • v.17 no.2
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    • pp.87-95
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    • 2000
  • This paper presents two analytical approaches to determine the vehicle fleet size for container shuttle service. The shuttle service can be defined as the repetitive travel between the designated places during working period. In the first approach, the transportation model is adopted in order to determine the number of vehicles required. Its advantages and disadvantages in practical application are also discussed. In the second approach, a logical network which is oriented on job is transformed from a physical network which is focused on demand site. Nodes on the logical network represent jobs which include loaded travel, loading and unloading and arcs represent empty travel for the next jobs which include loaded travel, loading and unloading and arcs represent empty travel for the next job. Then a mathematical formulation is constructed similar to the multiple traveling salesman problem (TSP). A solution procedure is carried out based on the well-known insertion heuristic with the real world data.

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Projections of Extended Formulations with precedence Variables for the Asymmetric Traveling Salesman Problem

  • Myung, Young-Soo
    • Management Science and Financial Engineering
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    • v.7 no.2
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    • pp.1-11
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    • 2001
  • Gouveia and Pires (European Journal of Operations Research 112(1999) 134-146) have proposed four extended formulations having precedence variables as extra variables and characterized the projections of three of the four formulations into the natural variable space. In Gouveia and Pires (Discrete Applied Mathematics 112 (2001)), they also have introduced some other extended formulations with the same extra variables and conjectured that the projection of one of the proposed formulations is equivalent to the one proposed by Dantzig, Fulkerson, and Johnson (Operations Research 2(1954) 393-410). In this paper, we provide a unifying framework based on which we give alternative proofs on the projections of three extended formulations and new proofs on those of two formulations appeared in Gouveia and Pires(1999, 2001).

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Evaluation of Tool Paths and NC Codes Generation for PCB Drilling Operations (PCB 홀 천공순서의 평가 및 NC 코드의 생성)

  • Choi, Hoo-Gon;Lee, Ho-Chan;Seo, Jun-Sung
    • IE interfaces
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    • v.10 no.1
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    • pp.223-235
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    • 1997
  • The process of determining the optimal tool path in PCB(printed circuit board) drilling operations is identical with that of solving a TSP(traveling salesman problem). However, the optimal solution will be ruined when a drill bit needs tracking back in its tool paths. The back tracking occurrences shorten a life of the main spindle and result in inaccurate mechanical movements. In this study, the performances of four heuristics(Nearest Neighbor, Convex Hull, Greatest Angle and Most Eccentric Ellipse) are evaluated to obtain feasible tool paths along with less number of back trackings for a large number of holes(more than 2000holes/bit) and to generate corresponding NC codes for a given CNC drill. Also, the operations of these algorithms are visualized to show a user the graphic image of tool visitation with PCB holes on a computer screen.

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Analysis and Reconstruction of Vehicle Speeds to Design an Efficient Time Dependent VRP Heuristic (시간종속VRP의 효율적 해법 설계를 위한 차량통행속도의 분석과 재구성)

  • Moon, Gee-Ju;Park, Sung-Mee
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.35 no.1
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    • pp.140-147
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    • 2012
  • Vehicle routing problem is one of the traveling salesman problems with various conditions such as vehicle capacity limits, delivery time windows, as well as time dependent speeds in metropolitan area. In this research hourly vehicle moving speeds information in a typical metropolitan area are analyzed to use the results in the design procedure of VRP heuristic. Quality initial vehicle routing solutions can be obtained with adaption of the analysed results of the time periods with no vehicle speed changes. This strategy makes complicated time dependent vehicle speed simple to solve. Time dependent vehicle speeds are too important to ignore to obtain optimum vehicle routing search for real life logistics systems.

Parallel Genetic Algorithm based on a Multiprocessor System FIN and Its Application to a Classifier Machine

  • 한명묵
    • Journal of the Korean Institute of Intelligent Systems
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    • v.8 no.5
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    • pp.61-71
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    • 1998
  • Genetic Algorithm(GA) is a method of approaching optimization problems by modeling and simulating the biological evolution. GA needs large time-consuming, so ti had better do on a parallel computer architecture. Our proposed system has a VLSI-oriented interconnection network, which is constructed from a viewpoint of fractal geometry, so that self-similarity is considered in its configuration. The approach to Parallel Genetic Algorithm(PGA) on our proposed system is explained, and then, we construct the classifier system such that the set of samples is classified into weveral classes based on the features of each sample. In the process of designing the classifier system, We have applied PGA to the Traveling Salesman Problem and classified the sample set in the Euclidean space into several categories with a measure of the distance.

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Improving the Performances of the Neural Network for Optimization by Optimal Estimation of Initial States (초기값의 최적 설정에 의한 최적화용 신경회로망의 성능개선)

  • 조동현;최흥문
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.30B no.8
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    • pp.54-63
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    • 1993
  • This paper proposes a method for improving the performances of the neural network for optimization by an optimal estimation of initial states. The optimal initial state that leads to the global minimum is estimated by using the stochastic approximation. And then the update rule of Hopfield model, which is the high speed deterministic algorithm using the steepest descent rule, is applied to speed up the optimization. The proposed method has been applied to the tavelling salesman problems and an optimal task partition problems to evaluate the performances. The simulation results show that the convergence speed of the proposed method is higher than conventinal Hopfield model. Abe's method and Boltzmann machine with random initial neuron output setting, and the convergence rate to the global minimum is guaranteed with probability of 1. The proposed method gives better result as the problem size increases where it is more difficult for the randomized initial setting to give a good convergence.

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An improved version of Minty's algorithm to solve TSP with penalty function

  • Moon, Geeju;Oh, Hyun-Seung;Yang, Jung-Mun;Kim, Jung-Ja
    • Korean Management Science Review
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    • v.13 no.3
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    • pp.187-198
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    • 1996
  • The traveling salesman problem has been studied for many years since the model can be used for various applications such as vehicle routing, job sequencing, clustering a data array, and so on. In this paper one of the typical exact algorithms for TSP, Minty's, will be modified to improve the performance of the algorithm on the applications without losing simplicity. The Little's algorithm gives good results, however, the simple and plain Minty's algorithm for solving shortest-route problems has the most intuitive appeal. The suggested Minty's modification is based on the creation of penalty-values on the matrix of a TSP. Computer experiments are made to verify the effectiveness of the modification.

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