• Title/Summary/Keyword: Steiner tree

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Location of Strategic Military Base Minimally Connecting Three Frontlines (세 개 지점을 최단거리로 연결하는 전략기지의 위치선정)

  • Lee, Sang-Joong
    • Journal of the Korea Institute of Military Science and Technology
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    • v.16 no.3
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    • pp.250-254
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    • 2013
  • Faster and cheaper transportation of the war supplies to the frontlines is essential for winning a war. This paper proposes a method to select the optimal location of the strategic military base, e.g., the Quartermaster Corps, that minimally connects three frontlines using the optimization technique. The results are also compared to the Steiner Tree theoty.

Multicast Routing Algorithm under Cell Replication Limits of Switches in ATM Networks (ATM 망에서 교환기의 셀 복제 능력을 고려한 멀티캐스트 라우팅 알고리듬)

  • 주종혁
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.23 no.61
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    • pp.33-39
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    • 2000
  • In this paper, we present an algorithm for the multicast routing problem when there exit the cell replication limits of ATM switching nodes. This problem can be formulated as a Degree Constrained Minimum Steiner Tree Problem(DCSP). The proposed algorithm is a modification of the shortest path heuristic originally devised for minimum Steiner tree problem. From the experimental results, it can be seen that our algorithm is efficient to obtain a near optimal solution with comparatively low computational time.

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A Genetic Algorithm for Cluster Based Multicast Routing Problem (클러스터 기반의 멀티캐스트 라우팅 문제 해법을 위한 유전자 알고리즘)

  • 강명주
    • Journal of the Korea Society of Computer and Information
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    • v.8 no.3
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    • pp.150-155
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    • 2003
  • Multicasting, the transmission of data to a group, can be solved from constructing multicast tree, that is, the whole network is partitioned to some clusters and the clusters are constructed by multicast tree. This paper proposes an algorithm that reduces the multicast routing costs using a clustering method. Multicast tree is constructed by minimum-cost Steiner tree. It is important to solve the mnimum-cost Steiner tree problem in the multicast routing problems. Hence, this paper proposes a genetic algorithm for multicast routing problems using clustering method.

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Efficient Implementations of a Delay-Constrained Least-Cost Multicast Algorithm

  • Feng, Gang;Makki, Kia;Pissinou, Niki
    • Journal of Communications and Networks
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    • v.4 no.3
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    • pp.246-255
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    • 2002
  • Constrained minimum Steiner tree (CMST) problem is a key issue in multicast routing with quality of service (QoS) support. Bounded shortest path algorithm (BSMA) has been recognized as one of the best algorithms for the CMST problem due to its excellent cost performance. This algorithm starts with a minimumdelay tree, and then iteratively uses a -shortest-path (KSP) algorithm to search for a better path to replace a “superedge” in the existing tree, and consequently reduces the cost of the tree. The major drawback of BSMA is its high time complexity because of the use of the KSP algorithm. For this reason, we investigate in this paper the possibility of more efficient implementations of BSMA by using different methods to locate the target path for replacing a superedge. Our experimental results indicate that our methods can significantly reduce the time complexity of BSMA without deteriorating the cost performance.

Weighted Optimal Location of Mail Distribution Center Using GOSST (GOSST를 이용한우편물 교환센터의 가중치 반영 최적 위치의 선정)

  • Kim, In-Bum;Kim, Joon-Mo
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.47 no.11
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    • pp.7-13
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    • 2010
  • For swiftness and economic feasibility of parcel delivery, optimal location of mail exchanging centers considering not only section delivery distance but also some weights like the number of delivery vehicles are necessary. In this paper, a mechanism with section delivery distance and vehicle number for locating of mail distribution centers which connect some mail centers of major cities in Republic Korea by applying GOSST theory is proposed. This mechanism for locating mail exchange centers can make the total delivery distance of postal matters less than not only present method which assigns Daejun as mail exchange center, but also Steiner tree method which does not consider weights like number of delivery vehicles. The mechanism is good for protecting the environment as well as rapid and economic delivery. In experiment, the proposed mechanism could curtail total delivery distance by 2.52 percentages compared with Steiner tree method and by 6.66 percentages compared with present method. The mechanism may be used in electric power transmission routing, distribution line topology design, power relay station locating where various voltages and other weights should be considered.

Optimal location of Batcher Plant using Modified Steiner point (수정된 Steiner Point를 이용한 Batcher Plant의 최적 위치 선정)

  • Ha, Kwon-Yeol;Lee, Sang-Joong
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.29 no.10
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    • pp.39-46
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    • 2015
  • REMICON(Ready Mixed Concrete), the most essential material of construction work, is produced from facility called "Batcher plant." In order to produce Remicon, Batcher Plant needs to be supplied with basic raw material such as ballast, sand, cement, admixture and water. In remicon industry, overland transport vehicles are used during the whole manufacturing process from producing to infilling at the construction site. Thus, the transportation cost sums up be to 20 percent of whole manufacturing cost and transport capacity and distance travelled have direct and major effect on manufacturing costs. This paper suggests a method to find optimal location of batcher plant using modified Steiner point, suggesting the most effective and flexible connection through among construction site, aggregate, cement and remicon producing plant. This paper also proposes reducing of transport cost at maximum 60% by calculation through optimized plant location. The modified Steiner point theory proposed in this paper also can be applied to optimal location of a $2^{ry}$ substation or MCC panel for minimizing of power loss, voltage drop, line distance and etc.

A Parallel Algorithm For Rectilinear Steiner Tree Using Associative Processor (연합 처리기를 이용한 직교선형 스타이너 트리의 병렬 알고리즘)

  • Taegeun Park
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.32B no.8
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    • pp.1057-1063
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    • 1995
  • This paper describes an approach for constucting a Rectilinear Steiner Tree (RST) derivable from a Minimum Spanning Tree (MST), using Associative Processor (AP). We propose a fast parallel algorithm using AP's basic algorithms which can be realized by the processing capability of rudimentary logic and the selective matching capability of Content- Addressable Memory (CAM). The main idea behind the proposed algorithm is to maximize the overlaps between the consecutive edges in MST, thus minimizing the cost of a RST. An efficient parallel linear algorithm with O(n) complexity to construct a RST is proposed using an algorithm to find a MST, where n is the number of nodes. A node insertion method is introduced to allow the Z-type layout. The routing process which only depends on the neighbor edges and the no-rerouting strategy both help to speed up finding a RST.

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Efficient Connection of Migration Routes with Their Weights Using EGOSST (EGOSST를 이용한 이동 경로의 가중치를 반영한 효과적 연결)

  • Kim, In-Bum
    • The KIPS Transactions:PartA
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    • v.18A no.5
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    • pp.215-224
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    • 2011
  • In this paper, a mechanism connecting all weighted migration routes with minimum cost with EGOSST is proposed. Weighted migration routes may be converted to weighted input edges considered as not only traces but also traffics or trip frequencies of moving object on communication lines, roads or railroads. Proposed mechanism can be used in more wide and practical area than mechanisms considering only moving object traces. In our experiments, edge number, maximum weight for input edges, and detail level for grid are used as input parameters. The mechanism made connection cost decrease average 1.07% and 0.43% comparing with the method using weight minimum spanning tree and weight steiner minimum tree respectively. When grid detail level is 0.1 and 0.001, while each execution time for a connecting solution increases average 97.02% and 2843.87% comparing with the method using weight minimum spanning tree, connecting cost decreases 0.86% and 1.13% respectively. This shows that by adjusting grid detail level, proposed mechanism might be well applied to the applications where designer must grant priority to reducing connecting cost or shortening execution time as well as that it can provide good solutions of connecting migration routes with weights.