• Title/Summary/Keyword: $Pr\ddot{u}fer$ Number (PN)

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The Solution of OCST Problems using a New Genetic Representation-based Genetic Algorithm (새로운 유전자 표현 기반 유전 알고리즘을 이용한 OCST 문제에 대한 해법)

  • Kim, Jong-Ryul;Do, Kyeong-Hoon;Chung, Wan-Young
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2007.06a
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    • pp.466-469
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    • 2007
  • 최근 늘어가는 통신 서비스에 대한 관심은 관련 이론 및 기술의 발전을 주도해 왔다. 이러한 통신 시스템에 관련한 문제들 중에 가장 근간이 되는 문제 중 하나는 최적 통신 걸침 나무 (OCST: Optimal Communication Spanning Tree) 문제이다. 본 논문에서는 이러한 최적 통신 걸침 나무 문제에 대한 해법으로 최적 통신 걸침 나무 문제에 적합한 새로운 유전자 표현법을 이용한 유전 알고리즘을 설계하여 구현한다. 제안하는 유전 알고리즘은 n개의 노드에 대해 n-2개의 숫자 열로 표현가능하다고 알려진 기존의 $Pr\ddot{u}fer$수 기반의 유전자 표현법을 개선하여 보다 더 최적 통신 걸침 문제에 적합하도록 고안한 새로운 유전자 표현법을 이용한다. 임의로 생성된 예제에 대한 수치 실험을 통해 통신시스템의 기본 문제 중 하나인 최적 통신 걸침 문제의 해법으로서의 제안 알고리즘의 유용성과 효율성을 확인한다.

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A Genetic Algorithm with a New Encoding Method for Bicriteria Network Designs (2기준 네트워크 설계를 위한 새로운 인코딩 방법을 기반으로 하는 유전자 알고리즘)

  • Kim Jong-Ryul;Lee Jae-Uk;Gen Mituso
    • Journal of KIISE:Software and Applications
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    • v.32 no.10
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    • pp.963-973
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    • 2005
  • Increasing attention is being recently devoted to various problems inherent in the topological design of networks systems. The topological structure of these networks can be based on service centers, terminals (users), and connection cable. Lately, these network systems are well designed with tiber optic cable, because the requirements from users become increased. But considering the high cost of the fiber optic cable, it is more desirable that the network architecture is composed of a spanning tree. In this paper, we present a GA (Genetic Algorithm) for solving bicriteria network topology design problems of wide-band communication networks connected with fiber optic cable, considering the connection cost, average message delay, and the network reliability We also employ the $Pr\ddot{u}fer$ number (PN) and cluster string in order to represent chromosomes. Finally, we get some experiments in order to certify that the proposed GA is the more effective and efficient method in terms of the computation time as well as the Pareto optimality.

GA-based Two Phase Method for a Highly Reliable Network Design (높은 신뢰도의 네트워크 설계를 위한 GA 기반 두 단계 방법)

  • Jo, Jung-Bok
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.9 no.5
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    • pp.1149-1160
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    • 2005
  • Generally, the network topology design problem, which is difficult to solve with the classical method because it has exponentially increasing complexity with the augmented network size, is characterized as a kind of NP-hard combinatorial optimization problem. The problem of this research is to design the highly reliable network topology considering the connection cost and all-terminal network reliability, which can be defined as the probability that every pair of nodes can communicate with each other. In order to solve the highly reliable network topology design problem minimizing the construction cost subject to network reliability, we proposes an efficient two phase approach to design reliable network topology, i.e., the first phase employs, a genetic algorithm (GA) which uses $Pr\ddot{u}fer$ number for encoding method and backtracking Algorithm for network reliability calculation, to find the spanning tree; the second phase is a greedy method which searches the optimal network topology based on the spanning ree obtained in the first phase, with considering 2-connectivity. finally, we show some experiments to demonstrate the effectiveness and efficiency of our two phase approach.