• Title/Summary/Keyword: Steiner tree

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The application of the combinatorial schemes for the layout design of Sensor Networks (센서 네트워크 구축에서의 Combinatorial 기법 적용)

  • Kim, Joon-Mo
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.45 no.7
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    • pp.9-16
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    • 2008
  • For the efficient routing on a Sensor Network, one may consider a deployment problem to interconnect the sensor nodes optimally. There is an analogous theoretic problem: the Steiner Tree problem of finding the tree that interconnects given points on a plane optimally. One may use the approximation algorithm for the problem to find out the deployment that interconnects the sensor nodes almost optimally. However, the Steiner Tree problem is to interconnect mathematical set of points on a Euclidean plane, and so involves particular cases that do not occur on Sensor Networks. Thus the approach of using the algorithm does not make a proper way of analysis. Differently from the randomly given locations of mathematical points on a Euclidean plane, the locations of sensors on Sensor Networks are assumed to be physically dispersed over some moderate distance with each other. By designing an approximation algorithm for the Sensor Networks in terms of that physical property, one may produce the execution time and the approximation ratio to the optimality that are appropriate for the problem of interconnecting Sensor Networks.

On Minimum Cost Multicast Routing Based on Cost Prediction

  • Kim, Moon-Seong;Mutka, Matt W.;Hwang, Dae-Jun;Choo, Hyun-Seung
    • Journal of Communications and Networks
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    • v.11 no.5
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    • pp.500-508
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    • 2009
  • We have designed an algorithm for a problem in multicast communication. The problem is to construct a multicast tree while minimizing its cost, which is known to be NP-complete. Our algorithm, which employs new concepts defined as potential cost and spanning cost, generates a multicast tree more efficiently than the well-known heuristic called Takahashi and Matsuyama (TM) [1] in terms of tree cost. The time complexity of our algorithm is O($kn^2$) for an n-node network with k members in the multicast group and is comparable to the TM. Our empirical performance evaluation comparing the proposed algorithm with TM shows that the enhancement is up to 1.25%~4.23% for each best case.

Hop-constrained multicast route packing with bandwidth reservation

  • Gang Jang Ha;Park Seong Su
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2002.05a
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    • pp.402-408
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    • 2002
  • Multicast technology allows the transmission of data from one source node to a selected group of destination nodes. Multicast routes typically use trees, called multicast routing trees, to minimize resource usage such as cost and bandwidth by sharing links. Moreover, the quality of service (QoS) is satisfied by distributing data along a path haying no more than a given number of arcs between the root node of a session and a terminal node of it in the routing tree. Thus, a multicast routing tree for a session can be represented as a hop constrained Steiner tree. In this paper, we consider the hop-constrained multicast route packing problem with bandwidth reservation. Given a set of multicast sessions, each of which has a hop limit constraint and a required bandwidth, the problem is to determine a set of multicast routing trees in an arc-capacitated network to minimize cost. We propose an integer programming formulation of the problem and an algorithm to solve it. An efficient column generation technique to solve the linear programming relaxation is proposed, and a modified cover inequality is used to strengthen the integer programming formulation.

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A Study of Multicast Tree Problem with Multiple Constraints (다중 제약이 있는 멀티캐스트 트리 문제에 관한 연구)

  • Lee Sung-Ceun;Han Chi-Ceun
    • Journal of Internet Computing and Services
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    • v.5 no.5
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    • pp.129-138
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    • 2004
  • In the telecommunications network, multicasting is widely used recently. Multicast tree problem is modeled as the NP-complete Steiner problem in the networks. In this paper, we study algorithms for finding efficient multicast trees with hop and node degree constraints. Multimedia service is an application of multicasting and it is required to transfer a large volume of multimedia data with QoS(Quality of Service). Though heuristics for solving the multicast tree problems with one constraint have been studied. however, there is no optimum algorithm that finds an optimum multicast tree with hop and node degree constraints up to now. In this paper, an approach for finding an efficient multicast tree that satisfies hop and node degree constraints is presented and the experimental results explain how the hop and node degree constraints affect to the total cost of a multicast tree.

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SOME CHARACTERIZATIONS OF DOUBY CHORDAL GRAPHS

  • Kim, Chang-Hwa
    • Journal of applied mathematics & informatics
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    • v.5 no.1
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    • pp.65-72
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    • 1998
  • Many optimization problems like domination and Steiner tree are NP-complete on chordal graphs but can be solved in polyno-mial time on doubly chordal graphs. Investigating properties of dou-bly chordal graphs probably help to design efficient algorithms for the graphs. We present some characterizations of dobly chordal graphs which are based on clique matrices and neighborhood matrics also men-tioned how a doubly perfect elimination ordering of a doubly chordal graph can be computed from the results.

The MCSTOP Algorithm about the Minimum Cost Spanning Tree and the Optimum Path Generation for the Multicasting Path Assignment (최적 경로 생성 및 최소 비용 신장 트리를 이용한 멀티캐스트 경로 배정 알고리즘 : MCSTOP)

  • Park, Moon-Sung;Kim, Jin-Suk
    • The Transactions of the Korea Information Processing Society
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    • v.5 no.4
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    • pp.1033-1043
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    • 1998
  • In this paper, we present an improved multicasting path assignment algorithm based on the minimum cost spanning tree. In the method presented in this paper, a multicasting path is assigned preferentially when a node to be received is found among the next degree nodes of the searching node in the multicasting path assignment of the constrained steiner tree (CST). If nodes of the legacy group exist between nodes of the new group, a new path among the nodes of new group is assigned as long as the nodes may be excluded from the new multicasting path assignment taking into consideration characteristics of nodes in the legacy group. In assigning the multicasting path additionally, where the source and destination nodes which can be set for the new multicasting path exist in the domain of identical network (local area network) and conditions for degree constraint are satisfied, a method of producing and assigning a new multicasting path is used. The results of comparison of CST with MCSTOP, MCSTOp algorithm enhanced performance capabilities about the communication cost, the propagation delay, and the computation time for the multicasting assignment paths more than CST algorithm. Further to this, research activities need study for the application of the international standard protocol(multicasting path assignment technology in the multipoint communication service (MCS) of the ITU-T T.120).

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A GOSST Heuristic Mechanism for the Design of a Physical Multiple Security Grade Network (물리적 다중 보안 등급 네트워크 설계를 위한 GOSST 휴리스틱 메커니즘)

  • Kim, In-Bum;Kim, Chae-Kak
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.32 no.12B
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    • pp.728-734
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    • 2007
  • In this paper, we propose a GOSST(Grade Of Services Steiner minimum Tree) heuristic mechanism for the design of a physical multiple security grade network with minimum construction cost. On the network, each node can communicate with other nodes by its desiring security grade. Added to the existing network security methods, the preventing method from illegal physical access is necessary for more safe communication. To construct such network with minimum cost, the GOSST problem is applied. As the GOSST problem is a NP-Hard problem, a heuristic with reasonable complexity is necessary for a practical solution. In this research, to design the physical multiple security grade network with the minimum construction cost, the reformed our previous Distance Direct GOSST heuristic mechanism is proposed. The mechanism brings average 29.5% reduction in network construction cost in comparison with the experimental control G-MST.

Elite Ant System for Solving Multicast Routing Problem (멀티캐스트 라우팅 문제 해결을 위한 엘리트 개미 시스템)

  • Lee, Seung-Gwan
    • Journal of the Korea Society of Computer and Information
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    • v.13 no.3
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    • pp.147-152
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    • 2008
  • Ant System(AS) is new meta heuristic for hard combinatorial optimization problem. It is a population based approach that uses exploitation of positive feedback as well as greedy search. It was first proposed for tackling the well known Traveling Salesman Problem. In this paper, AS is applied to the Multicast Routing Problem. Multicast Routing is modeled as the NP-complete Steiner tree problem. This is the shortest path from source node to all destination nodes. We proposed new AS to resolve this problem. The proposed method selects the neighborhood node to consider all costs of the edge and the next node in state transition rule. Also, The edges which are selected elite agents are updated to additional pheromone. Simulation results of our proposed method show fast convergence and give lower total cost than original AS and $AS_{elite}$.

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Development of Monoclonal Antibodies Specific to Galectin of Pine Wood Nematode, Bursaphelenchus xylophilus (Steiner and Buhrer) Nickle and Their Utilization for Detection of Pine Wood Nematodes (소나무재선충[Bursaphelenchus xylophilus (Steiner and Buhrer) Nickle]의 GaLectin에 대한 특이적인 단클론 항체 제작과 진단에의 활용)

  • Kim, A-Young;Kim, Young Ha;Choi, Bo-Hye;Nguyen, Trang;Yoon, Kyungjae Andrew;Lee, Si Hyeock;Han, Hye-Rim;Koh, Young Ho
    • Korean journal of applied entomology
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    • v.57 no.1
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    • pp.7-13
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    • 2018
  • Currently, there is no available tool that rapidly diagnoses pine wood nematode (PWN)-infected pine trees in the field. In this study, we synthesized and purified PWN Galectin, which might be an antigen specific to PWN, using the Baculovirus expression system. We used PWN Galectin as an antigen for generating 1,464 fusion hybridoma cell lines secreting monoclonal antibodies (Mabs). Among them, we selected 62 fusion hybridoma cell lines showing high reactivity to PWN Galectin. We further selected 12 fusion hybridoma cell lines showing high reactivity to the standard PWN-infected pine tree phosphate buffered saline (PBS) extract. Additionally, two fusion hybridoma cell lines showing no or extremely low reactivity were used as controls. The selected fusion hybridoma cell lines were subjected to limiting dilutions for selecting and establishing Mab-secreting cell lines showing higher reactivity to the standard PWN-infected pine tree extract than to the standard normal pine tree PBS extract. Moreover, the selected fusion hybridoma cell lines were further selected based on their higher reactivity to PWN protein extracts than to three non-pathogenic nematode protein extracts. The Mab-secreting cell lines established in this study could be used to develop rapid diagnostic tools that can be used in the field or in laboratories for detecting PWN-infected pine trees or PWN.

Practice of causal inference with the propensity of being zero or one: assessing the effect of arbitrary cutoffs of propensity scores

  • Kang, Joseph;Chan, Wendy;Kim, Mi-Ok;Steiner, Peter M.
    • Communications for Statistical Applications and Methods
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    • v.23 no.1
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    • pp.1-20
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    • 2016
  • Causal inference methodologies have been developed for the past decade to estimate the unconfounded effect of an exposure under several key assumptions. These assumptions include, but are not limited to, the stable unit treatment value assumption, the strong ignorability of treatment assignment assumption, and the assumption that propensity scores be bounded away from zero and one (the positivity assumption). Of these assumptions, the first two have received much attention in the literature. Yet the positivity assumption has been recently discussed in only a few papers. Propensity scores of zero or one are indicative of deterministic exposure so that causal effects cannot be defined for these subjects. Therefore, these subjects need to be removed because no comparable comparison groups can be found for such subjects. In this paper, using currently available causal inference methods, we evaluate the effect of arbitrary cutoffs in the distribution of propensity scores and the impact of those decisions on bias and efficiency. We propose a tree-based method that performs well in terms of bias reduction when the definition of positivity is based on a single confounder. This tree-based method can be easily implemented using the statistical software program, R. R code for the studies is available online.