• Title/Summary/Keyword: 집합 커버

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Generalization of Disjoint Path Covers (서로소인 경로 커버의 일반화)

  • Park, Jung-Heum
    • Proceedings of the Korean Information Science Society Conference
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    • 2010.06b
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    • pp.487-492
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    • 2010
  • 그래프에서 k-서로소인 경로 커버는 정점 집합을 커버하면서 정점이 서로소인 .개의 경로들의 집합으로 정의하고, 이때 각 경로는 주어진 소스와 싱크를 잇는다. 각 소스와 싱크에 요구(demand)라고 부르는 양의 정수가 주어질 때, 요구가 d인 각 소스나 싱크가 d개의 경로에 포함되는 일반-요구 k-서로소인 경로 커버(general-demand k-disjoint path cover)를 정의할 수 있다. 이것은 일대일, 일대다, 그리고 비쌍형 다대다 서로소인 경로 커버를 일반화한 것이다. 이 논문에서는 일반-요구 k-서로소인 경로 커버 문제가 비쌍형 k-서로소인 경로 커버 문제로 변환될 수 있음을 보인다. 더구나 소스가 하나인 경우를 단일-소스 k-서로소인 경로 커버(single-source k-disjoint path cover)라고 부르는데, 이것은 일대다 k-서로소인 경로 커버 문제로 변환된다.

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Minimizing the Maximum Weighted Membership of Interval Cover of Points (점들의 구간 커버에 대한 최대 가중치 맴버쉽 최소화)

  • Kim, Jae-Hoon
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.26 no.10
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    • pp.1531-1536
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    • 2022
  • This paper considers a problem to find a set of intervals containing all the points for the given n points and m intervals on a line, This is a special case of the set cover problem, well known as an NP-hard problem. As optimization criteria of the problem, there are minimizing the number of intervals to cover the points, maximizing the number of points each of which is covered by exactly one interval, and so on. In this paper, the intervals have weights and the sum of weights of intervals to cover a point is defined as a membership of the point. We will study the problem to find an interval cover minimizing the maximum of memberships of points. Using the dynamic programming method, we provide an O(m2)-time algorithm to improve the time complexity O(nm log n) given in the previous work.

An Integer Programming-based Local Search for the Set Covering Problem (집합 커버링 문제를 위한 정수계획법 기반 지역 탐색)

  • Hwang, Jun-Ha
    • Journal of the Korea Society of Computer and Information
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    • v.19 no.10
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    • pp.13-21
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    • 2014
  • The set covering problem (SCP) is one of representative combinatorial optimization problems, which is defined as the problem of covering the m-rows by a subset of the n-columns at minimal cost. This paper proposes a method utilizing Integer Programming-based Local Search (IPbLS) to solve the set covering problem. IPbLS is a kind of local search technique in which the current solution is improved by searching neighborhood solutions. Integer programming is used to generate neighborhood solution in IPbLS. The effectiveness of the proposed algorithm has been tested on OR-Library test instances. The experimental results showed that IPbLS could search for the best known solutions in all the test instances. Especially, I confirmed that IPbLS could search for better solutions than the best known solutions in four test instances.

Soft-Decision Decoding of the [23,12] Golay Code Using Covering Polynomials (커버링 다항식을 이용한 골레이 부호의 연판정 복호)

  • 성원진
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.27 no.3A
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    • pp.180-187
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    • 2002
  • The decoding method using covering polynomials is an extended form of error-trapping decoding, and is a simple and effective means to implement decoders for cyclic codes. Covering polynomials can be used for soft-decision decoding as well as for decoding beyond the bounded distance of the code. The implementation complexity is proportional to the number of covering polynomials employed. In this paper, the soft-decision decoding procedure using covering polynomials is described, and the procedure is applied to the [23,12] Golay code. A new set of covering polynomials is derived for the procedure, which is presented as a generalized closed-form solution. The set can be efficiently utilized for decoding a class of cyclic codes including the Golay code. Computer simulation of the described procedure is performed to show the trade-offs between the decoder performance and complexity. It is demonstrated that soft-decision decoding of the Golay code using the derived set of covering polynomials has less than 0.2dB deviation from the optimal performance of maximum-likelihood decoding, with a reduced complexity when compared to the Chase Algorithm 2 combined with hard-decision decoding that has nearly identical performance.

Extension of Wireless Sensor Network Lifetime with Variable Sensing Range Using Genetic Algorithm (유전자알고리즘을 이용한 가변감지범위를 갖는 무선센서네트워크의 수명연장)

  • Song, Bong-Gi;Woo, Chong-Ho
    • Journal of Korea Multimedia Society
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    • v.12 no.5
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    • pp.728-736
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    • 2009
  • We propose a method using the genetic algorithm to solve the maximum set cover problem. It is needed for scheduling the power of sensor nodes in extending the lifetime of the wireless sensor network with variable sensing range. The existing Greedy Heuristic method calculates the power scheduling of sensor nodes repeatedly in the process of operation, and so the communication traffic of sensor nodes is increased. The proposed method reduces the amount of communication traffic of sensor nodes, and so the energies of nodes are saved, and the lifetime of network can be extended. The effectiveness of this method was verified through computer simulation, and considering the energy losses of communication operations about 10% in the network lifetime is improved.

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An investigation of chroma n-gram selection for cover song search (커버곡 검색을 위한 크로마 n-gram 선택에 관한 연구)

  • Seo, Jin Soo;Kim, Junghyun;Park, Jihyun
    • The Journal of the Acoustical Society of Korea
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    • v.36 no.6
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    • pp.436-441
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    • 2017
  • Computing music similarity is indispensable in constructing music retrieval system. This paper focuses on the cover song search among various music-retrieval tasks. We investigate the cover song search method based on the chroma n-gram to reduce storage for feature DB and enhance search accuracy. Specifically we propose t-tab n-gram, n-gram selection method, and n-gram set comparison method. Experiments on the widely used music dataset confirmed that the proposed method improves cover song search accuracy as well as reduces feature storage.

Optimal Location Problem for Constrained Number of Emergency Medical Service (한정된 응급시설의 최적위치 문제)

  • Lee, Sang-Un
    • Journal of the Korea Society of Computer and Information
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    • v.18 no.10
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    • pp.141-148
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    • 2013
  • This paper proposes an EMS algorithm designed to determine the optimal locations for Emergency Medical Service centers that both satisfy the maximum ambulance response time T in case of emergency and cover the largest possible number of residents given a limited number of emergency medical services p in a city divided into different zones. This methodology generally applies integer programming whereby cases are categorized into 1 if the distance between two zones is within the response time and 0 if not and subsequently employs linear programming to obtain the optimal solution. In this paper, where p=1, the algorithm determines a node with maximum coverage. In cases where $p{\geq}2$, the algorithm selects top 5 nodes with maximum coverage. Based on inclusion-exclusion method, this selection entails repeatedly selecting a node with the maximum coverage when nodes with lower numbers are deleted. Among these 5 selected nodes, the algorithm selects a single node set with the greatest coverage and thereby as the optimal EMS location. The proposed algorithm has proven to accurately and expeditiously obtain the optimal solutions for 12-node network, 21-node network, and Swain's 55-node network.

A Centralized Deployment Protocol with Sufficient Coverage and Connectivity Guarantee for WSNs (무선 센서 네트워크에서 유효 커버리지 및 접속성 보장을 위한 중앙 집중형 배치 프로토콜)

  • Kim, Hyun-Tae;Zhang, Gui-Ping;Kim, Hyoung-Jin;Joo, Young-Hoon;Ra, In-Ho
    • Journal of the Korean Institute of Intelligent Systems
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    • v.16 no.6
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    • pp.683-690
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    • 2006
  • Reducing power consumption to extend network lifetime is one of the most important challenges in designing wireless sensor networks. One promising approach to conserving system energy is to keep only a minimal number of sensors active and put others into low-powered sleep mode, while the active sensors can maintain a connected covet set for the target area. The problem of computing such minimum working sensor set is NP-hard. In this paper, a centralized Voronoi tessellation (CVT) based approximate algorithm is proposed to construct the near optimal cover set. When sensor's communication radius is at least twice of its sensing radius, the covet set is connected at the same time; In case of sensor's communication radius is smaller than twice of its sensing radius, a connection scheme is proposed to calculate the assistant nodes needed for constructing the connectivity of the cover set. Finally, the performance of the proposed algorithm is evaluated through theoretical analysis and extensive numerical experiments. Experimental results show that the proposed algorithm outperforms the greedy algorithm in terms of the runtime and the size of the constructed connected cover set.

Paired Many-to-Many Disjoint Path Covers in Recursive Circulants and Tori (재귀원형군과 토러스에서 쌍형 다대다 서로소인 경로 커버)

  • Kim, Eu-Sang;Park, Jung-Heum
    • Journal of KIISE:Computer Systems and Theory
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    • v.36 no.1
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    • pp.40-51
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    • 2009
  • A paired many-to-many k-disjoint path cover (paired k-DPC) of a graph G is a set of k disjoint paths joining k distinct source-sink pairs in which each vertex of G is covered by a path. In this paper, we investigate disjoint path covers in recursive circulants G($cd^m$,d) with $d{\geq}3$ and tori, and show that provided the number of faulty elements (vertices and/or edges) is f or less, every nonbipartite recursive circulant and torus of degree $\delta$ has a paired k-DPC for any f and $k{\geq}1$ with $f+2k{\leq}{\delta}-1$.

Code Coverage Measurement in Configurable Software Product Line Testing (구성가능한 소프트웨어 제품라인 시험에서 코드 커버리지 측정)

  • Han, Soobin;Lee, Jihyun;Go, Seoyeon
    • KIPS Transactions on Software and Data Engineering
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    • v.11 no.7
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    • pp.273-282
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    • 2022
  • Testing approaches for configurable software product lines differs significantly from a single software testing, as it requires consideration of common parts used by all member products of a product line and variable parts shared by some or a single product. Test coverage is a measure of the adequacy of testing performed. Test coverage measurements are important to evaluate the adequacy of testing at the software product line level, as there can be hundreds of member products produced from configurable software product lines. This paper proposes a method for measuring code coverage at the product line level in configurable software product lines. The proposed method tests the member products of a product line after hierarchizing member products based on the inclusion relationship of the selected features, and quantifies SPL(Software Product Line) test coverage by synthesizing the test coverage of each product. As a result of applying the proposed method to 11 configurable software product line cases, we confirmed that the proposed method could quantitatively visualize how thoroughly the SPL testing was performed to help verify the adequacy of the SPL testing. In addition, we could check whether the newly performed testing for a member product covers the newly added code parts of a feature.