• Title/Summary/Keyword: 그리디 이웃해 생성

Search Result 6, Processing Time 0.021 seconds

Greedy-based Neighbor Generation Methods of Local Search for the Traveling Salesman Problem

  • Hwang, Junha;Kim, Yongho
    • Journal of the Korea Society of Computer and Information
    • /
    • v.27 no.9
    • /
    • pp.69-76
    • /
    • 2022
  • The traveling salesman problem(TSP) is one of the most famous combinatorial optimization problem. So far, many metaheuristic search algorithms have been proposed to solve the problem, and one of them is local search. One of the very important factors in local search is neighbor generation method, and random-based neighbor generation methods such as inversion have been mainly used. This paper proposes 4 new greedy-based neighbor generation methods. Three of them are based on greedy insertion heuristic which insert selected cities one by one into the current best position. The other one is based on greedy rotation. The proposed methods are applied to first-choice hill-climbing search and simulated annealing which are representative local search algorithms. Through the experiment, we confirmed that the proposed greedy-based methods outperform the existing random-based methods. In addition, we confirmed that some greedy-based methods are superior to the existing local search methods.

부하평준화를 위한 Tabu 탐색의 효율적 이웃해 생성 방법

  • 강병호;조민숙;류광렬
    • Proceedings of the Korea Inteligent Information System Society Conference
    • /
    • 2003.05a
    • /
    • pp.429-434
    • /
    • 2003
  • 본 논문은 작업일정계획에서 부하평준화 문제를 효율적으로 해결하기 위하여 tabu 탐색을 적용함에 있어서 확률적 선별에 기반하여 이웃해를 생성하는 방법을 제시한다. 이웃해 생성은 부하평준화를 위해 일정을 조정할 대상 작업을 선택하는 단계와 선택된 작업에 대해 일정 조정의 방향을 결정하는 단계로 구분된다. 확률적 선별에 기반한 이웃해 생성은 우선 무작위로 추출된 작업에 대해서 탐색의 질을 개선시킬 수 있는 가능성에 대한 추정치에 따라 확률을 부여하고, 이 확률에 기반하여 선택여부를 결정함으로써 이웃해를 선별하는 방법이다. 실제 현장의 부하평준화 문제를 대상으로 이웃해 생성 방법으로 무작위 방법, 그리디(greedy) 방법과의 비교 실험을 통해 확률적 선별에 기반한 이웃해 생성 방법의 성능을 검증하였다.

  • PDF

A Combined Greedy Neighbor Generation Method of Local Search for the Traveling Salesman Problem

  • Yongho Kim;Junha Hwang
    • Journal of the Korea Society of Computer and Information
    • /
    • v.29 no.4
    • /
    • pp.1-8
    • /
    • 2024
  • The traveling salesman problem(TSP) is one of the well known combinatorial optimization problems. Local search has been used as a method to solve TSP. Greedy Random Insertion(GRI) is known as an effective neighbor generation method for local search. GRI selects some cities from the current solution randomly and inserts them one by one into the best position of the current partial solution considering only one city at a time. We first propose another greedy neighbor generation method which is named Full Greedy Insertion(FGI). FGI determines insertion location one by one like GRI, but considers all remaining cities at once. And then we propose a method to combine GRI with FGI, in which GRI or FGI is randomly selected and executed at each iteration in simulated annealing. According to the experimental results, FGI alone does not necessarily perform very well. However, we confirmed that the combined method outperforms the existing local search methods including GRI.

A Neighbor Selection Technique for Improving Efficiency of Local Search in Load Balancing Problems (부하평준화 문제에서 국지적 탐색의 효율향상을 위한 이웃해 선정 기법)

  • 강병호;조민숙;류광렬
    • Journal of KIISE:Software and Applications
    • /
    • v.31 no.2
    • /
    • pp.164-172
    • /
    • 2004
  • For a local search algorithm to find a bettor quality solution it is required to generate and evaluate a sufficiently large number of candidate solutions as neighbors at each iteration, demanding quite an amount of CPU time. This paper presents a method of selectively generating only good-looking candidate neighbors, so that the number of neighbors can be kept low to improve the efficiency of search. In our method, a newly generated candidate solution is probabilistically selected to become a neighbor based on the quality estimation determined heuristically by a very simple evaluation of the generated candidate. Experimental results on the problem of load balancing for production scheduling have shown that our candidate selection method outperforms other random or greedy selection methods in terms of solution quality given the same amount of CPU time.

Prototype based Classification by Generating Multidimensional Spheres per Class Area (클래스 영역의 다차원 구 생성에 의한 프로토타입 기반 분류)

  • Shim, Seyong;Hwang, Doosung
    • Journal of the Korea Society of Computer and Information
    • /
    • v.20 no.2
    • /
    • pp.21-28
    • /
    • 2015
  • In this paper, we propose a prototype-based classification learning by using the nearest-neighbor rule. The nearest-neighbor is applied to segment the class area of all the training data into spheres within which the data exist from the same class. Prototypes are the center of spheres and their radii are computed by the mid-point of the two distances to the farthest same class point and the nearest another class point. And we transform the prototype selection problem into a set covering problem in order to determine the smallest set of prototypes that include all the training data. The proposed prototype selection method is based on a greedy algorithm that is applicable to the training data per class. The complexity of the proposed method is not complicated and the possibility of its parallel implementation is high. The prototype-based classification learning takes up the set of prototypes and predicts the class of test data by the nearest neighbor rule. In experiments, the generalization performance of our prototype classifier is superior to those of the nearest neighbor, Bayes classifier, and another prototype classifier.

Nearest-neighbor Rule based Prototype Selection Method and Performance Evaluation using Bias-Variance Analysis (최근접 이웃 규칙 기반 프로토타입 선택과 편의-분산을 이용한 성능 평가)

  • Shim, Se-Yong;Hwang, Doo-Sung
    • Journal of the Institute of Electronics and Information Engineers
    • /
    • v.52 no.10
    • /
    • pp.73-81
    • /
    • 2015
  • The paper proposes a prototype selection method and evaluates the generalization performance of standard algorithms and prototype based classification learning. The proposed prototype classifier defines multidimensional spheres with variable radii within class areas and generates a small set of training data. The nearest-neighbor classifier uses the new training set for predicting the class of test data. By decomposing bias and variance of the mean expected error value, we compare the generalization errors of k-nearest neighbor, Bayesian classifier, prototype selection using fixed radius and the proposed prototype selection method. In experiments, the bias-variance changing trends of the proposed prototype classifier are similar to those of nearest neighbor classifiers with all training data and the prototype selection rates are under 27.0% on average.