• Title/Summary/Keyword: 다차원 배낭 문제

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Integer Programming-based Local Search Techniques for the Multidimensional Knapsack Problem (다차원 배낭 문제를 위한 정수계획법 기반 지역 탐색 기법)

  • Hwang, Jun-Ha
    • Journal of the Korea Society of Computer and Information
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    • v.17 no.6
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    • pp.13-27
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    • 2012
  • Integer programming-based local search(IPbLS) is a kind of local search based on simple hill-climbing search and adopts integer programming for neighbor generation unlike general local search. According to an existing research [1], IPbLS is known as an effective method for the multidimensional knapsack problem(MKP) which has received wide attention in operations research and artificial intelligence area. However, the existing research has a shortcoming that it verified the superiority of IPbLS targeting only largest-scale problems among MKP test problems in the OR-Library. In this paper, I verify the superiority of IPbLS more objectively by applying it to other problems. In addition, unlike the existing IPbLS that combines simple hill-climbing search and integer programming, I propose methods combining other local search algorithms like hill-climbing search, tabu search, simulated annealing with integer programming. Through the experimental results, I confirmed that IPbLS shows comparable or better performance than the best known heuristic search also for mid or small-scale MKP test problems.

Genetic Algorithm Applying Modified Mutation Operator Based on Hamming Distance for Solving Multi-dimensional Knapsack Problem (개체간 해밍 거리 기반의 변이연산을 적용한 유전알고리즘을 이용한 다차원 배낭 문제 탐색)

  • Jeong, Jae-Hun;Lee, Jong-Hyun;Ahn, Chang-Wook
    • Proceedings of the Korea Information Processing Society Conference
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    • 2012.11a
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    • pp.1728-1731
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    • 2012
  • 본 논문에서는 부모 개체의 해밍 거리에 기반하여 선택적 변이연산을 적용한 유전알고리즘을 제안한다. 유전자 형이 매우 유사한 개체들 간의 유전연산은 알고리즘의 탐색성능을 저하시키고 조기 수렴의 가능성을 증가시킨다. 본 논문에서는 이러한 현상을 극복하기 위하여, 교차연산 시 선택된 두 부모 개체간의 해밍 거리에 따라 그 값이 낮으면 교차연산 후 생성된 두 자식 개체 중 한쪽에게 높은 변이확률을 적용하고 다른 한쪽 자식은 부모와 비슷한 유전자 형으로 탐색을 계속하게 하여 조기 수렴을 방지하면서 해집단의 다양성 유지 기능을 향상 시켰다. 제안한 유전 알고리즘을 다차원 배낭 문제에 적용한 결과, 같은 조건에서 단순 유전 알고리즘(SGA) 보다 향상된 탐색 성능을 보여주었다.

A new method for a multi-dimensional Knapsack problem (다차원(多次元) 배낭 문제의 새로운 해법(解法))

  • Park, Sun-Dal;Park, Yeong-Man
    • Journal of Korean Institute of Industrial Engineers
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    • v.9 no.1
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    • pp.3-6
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    • 1983
  • The objective of this paper is to present a new method for the multi-dimensional Knapsack problem. Toyoda method and Loulou and Michaelides method are well known for this problem. The new method introduces a new penalty factor for fast convergence and a branching technique for accurate solutions. The method is tested at IBM370 and shows that the method is slower than Toyoda method, but more accurate than other two methods.

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