• Title/Summary/Keyword: 완전배정방법

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Efficient Topology Aggregation in ATM Networks (ATM망에서의 효율적인 토폴로지 집단화 방법)

  • 유영환;안상현;김종상
    • Proceedings of the Korean Information Science Society Conference
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    • 2000.10c
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    • pp.171-173
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    • 2000
  • 본 논문에서는 ATM PNNI(Private Network-Network Interface) 망에서 경로 배정을 위해 필요로 하는 링크 상태 정보(link state information)를 효율적으로 집단화(aggregation)하는 두 가지 방법을 제시한다. 이 방법들은 집단화할 동료 집단(peer group)의 경계노드(border node)들을 셔플넷(shufflenet)이나 de Bruijn 그래프의 노드들로 사상시킴으로써 표현해야 할 링크의 수를 완전 그물망 방법(full-mesh approach)의 N2에서 aN(a는 정수, N은 경계노드 수)으로 줄인다. 이는 공간 복잡도가 0(N)인 신장 트리(apanning tree) 방법에서 필요로 하는 링크의 수와 비슷하지만, 신장 트리 방법과는 달리 비대칭망(asymmetric network)에서 사용할 수 있다는 것이 큰 장점이다. 모의 실험 결과 셔플넷 방법은 aN개의 링크만을 표현하면서도 상태 정보의 정확성은 완전 그물망 방법에 근접함을 알 수 있었고, de Bruijn 방법은 정보의 정확성에서는 셔플넷 방법에 못 미치지만 가장 널리 사용되고 있는 별모양 방법(star approach) 방법보다는 훨씬 정확하며, 계산 복잡도 면에서 셔플넷 방법보다 효율적이었다.

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Link State Aggregation using a Shufflenet in ATM PNNI Networks (ATM PNNI에서 셔플넷을 이용한 링크 상태 정보 집단화 방법)

  • Yu, Yeong-Hwan;An, Sang-Hyeon;Kim, Jong-Sang
    • Journal of KIISE:Information Networking
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    • v.27 no.4
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    • pp.531-543
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    • 2000
  • 본 논문에서는 ATM PNN망에서 경로 배정을 위해 필요로하는 링크상태 정보를 효율적으로 집단화하는 방법을 제시한다. 이 방법은 집단화할 동료 그룹을 효율적으로 집단화하는 방법을 제시한다. 이방법은 집단화할 동료그룹의 경계노드들을 셔플넷의 노드들로 사상시킴으로써 표현해야 할 링크의 수를 완전 그물망 방법의 $N_2$에서 pN(p는 정수 N는 경계노드수)으로 줄인다 이는 공간 복잡도가 O(N)인 신장트리(spanning tree)방법에서 필요로 하는 링크의 수와 비슷하지만 신장 트리방법과는 달리 비대칭망(asymmetric network)에서 사용할 수 있다는 것이 큰 장접이다. 모의 실험결과 셔플넷 방법은 pNro의 링크만을 표현하면서도 상태 정보의 정확성은 완전 그물망 방법에 근접함을 알 수 있었다.

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The Assignment-Swap Algorithm for Large-scale Transportation Problem with Incomplete Cost Lists (불완전 비용 리스트를 가진 대규모 수송문제의 배정-교환 알고리즘)

  • Lee, Sang-Un
    • Journal of the Korea Society of Computer and Information
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    • v.20 no.6
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    • pp.51-58
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    • 2015
  • This paper suggests assignment-swap algorithm with time complexity O(mn) to obtain the optimal solution for large-scale of transportation problem (TP) with incomplete cost lists. Generally, the TP with complete cost lists can be solved with TSM (Transportation Simplex Method). But, we can't be solved for large-scale of TP with TSM. Especially. It is hard to solve for large-scale TP with incomplete cost lists using TSM. Therefore, experts simply using commercial linear programming package. Firstly, the proposed algorithm applies assignment strategy of transportation quantity to ascending order of transportation cost. Then, we reassign from surplus of supply to shortage of demand. Secondly, we perform the 2-opt and 1-opt swap optimization to obtain the optimal solution. Upon application to $31{\times}15$ incomplete cost matrix problem, the proposed assignment-swap algorithm more improves the solution than LINGO of commercial linear programming.

Development and Application of Subway's Operating Cost Functions with Full Allocation Method (For Seoul, Incheon, Busan and Daegu) (완전배정방법을 이용한 도시철도 운행비용 모형의 정립과 적용 (서울, 인천, 부산, 대구지하철을 중심으로))

  • Song, Sun-Ah;Suh, Sun-Duck
    • Journal of Korean Society of Transportation
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    • v.22 no.7 s.78
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    • pp.41-48
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    • 2004
  • We may consider the inducement of demand to public transportation as a solution to relieve traffic congestion and pollution. Subway has merits as moving on schedule, transporting more people than bus. But subway is required a vast investment in the early stage of construction has a huge debt. So it runs into red figures, and on this account, services of subway are falling more and more. Development of subway's operation cost function is useful to understand structure of subway's operation and catch the relations of operation cost and actual results. In addition, we can present the policy that is a helpful to the operation as development of operation cost function. But there are short of studies about operation cost deal with a subway comparison with local train. Because local train has many lines and data, on the other hand, subway has one to four lines and less data. Most of previous studies sought the operation cost function of Seoul. So this study aimed to develop and apply the operation cost function of Seoul, Incheon, Busan and Daegu area using full allocation method. In this study, we considered the number of passengers, track-km, train-km, revenue as actual results. By appling the operation cost function, we compared the average cost of each city and confirmed the existence of economies of scale about the number of passengers, train-km.

Image Segmentation and Coding Using Edge Tracing (에지추적에 의한 영상 분할 및 부호화)

  • Choi, Cheong;Lee, Sang-Mi;Kim, Nam-Chul;Son, Hyon
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.3
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    • pp.105-112
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    • 1989
  • A new simple edge-based segmentation method composed of edge tracing, region filling, and post processing is proposed. Solving so called the small gap problem common to most of edge-based methods, this method segments images so completely as to be suitable for image coding. Experimental results show that our methods has much less (1/3) computation time than Perkins' one, and its reconstructed images is good on visual perception.

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Independent Set Bin Packing Algorithm for Routing and Wavelength Assignment (RWA) Problem (경로설정과 파장 배정 문제의 독립집합 상자 채우기 알고리즘)

  • Lee, Sang-Un
    • Journal of the Korea Society of Computer and Information
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    • v.20 no.1
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    • pp.111-118
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    • 2015
  • This paper deals with the routing and wavelength assignment problem (RWAP) that decides the best lightpaths for multiple packet demands for (s,t) in optical communication and assigns the minimum number of wavelengths to given lightpaths. There has been unknown of polynomial-time algorithm to obtain the optimal solution for RWAP. Hence, the RWAP is classified as NP-complete problem and one can obtain the approximate solution in polynomial-time. This paper decides the shortest main and alternate lightpath with same hop count for all (s,t) for given network in advance. When the actual demands of communication for particular multiple packet for (s,t), we decrease the maximum utilized edge into b utilized number using these dual-paths. Then, we put these (s,t) into b-wavelength bins without duplicated edge. This algorithm can be get the optimal solution within O(kn) computational complexity. For two experimental data, the proposed algorithm shows that can be obtain the known optimal solution.

터널시공에 따른 지하수위 변화의 모델링과 이를 고려한 완전방수 터널의 라이닝 설계 예

  • 남기천;이형원;배정식;나경웅
    • Proceedings of the Korean Society for Rock Mechanics Conference
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    • 1994.03a
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    • pp.12-23
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    • 1994
  • 터널의 방수형식은 배수형(Wet System)과 방수형(Dry System)으로 대별된다. 배수형은 터널의 아치부와 측벽부에만 방수막을 설치하고 이의 배면과 바닥으로부터 유입되는 지하수를 배수공을 통하여 배수처리하는 방식이며 경제성과 시공성이 우수하여 대부분의 도로 터널 및 지하철 등에 적용되어 왔다. 방수형은 터널의 주변장 전체를 방수시공하여 터널내로 유입되는 지하수를 완전히 차단하는 방법으로서, 이러한 방수형 터널은 경제성과 시공성은 불리하나, 지하수위 저하에 따른 압밀침하나 생태계 파괴 방지, 터널의 장기적 환경보전 및 운영유지비 감소 등의 이유로 최근 상당수의 도심지 지하철 터널에 계획되어 시공중에 있다. (중략)

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The Min-Distance Max-Quantity Assignment Algorithm for Random Type Quadratic Assignment Problem (랜덤형 2차원 할당문제의 최소 거리-최대 물동량 배정 알고리즘)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.18 no.3
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    • pp.201-207
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    • 2018
  • There is no known polynomial time algorithm for random-type quadratic assignment problem(RQAP) that is a NP-complete problem. Therefore the heuristic or meta-heuristic approach are solve the approximated solution for the RQAP within polynomial time. This paper suggests polynomial time algorithm for random type quadratic assignment problem (QAP) with time complexity of $O(n^2)$. The proposed algorithm applies one-to-one matching strategy between ascending order of sum of distance for each location and descending order of sum of quantity for each facility. Then, swap the facilities for reflect the correlation of distances of locations and quantities of facilities. For the experimental data, this algorithm, in spite of $O(n^2)$ polynomial time algorithm, can be improve the solution than genetic algorithm a kind of metaheuristic method.

Chromatic Number Algorithm for Exam Scheduling Problem (시험 일정 계획 수립 문제에 관한 채색 수 알고리즘)

  • Lee, Sang-Un
    • Journal of the Korea Society of Computer and Information
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    • v.20 no.4
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    • pp.111-117
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    • 2015
  • The exam scheduling problem has been classified as nondeterministic polynomial time-complete (NP-complete) problem because of the polynomial time algorithm to obtain the exact solution has been unknown yet. Gu${\acute{e}}$ret et al. tries to obtain the solution using linear programming with $O(m^4)$ time complexity for this problem. On the other hand, this paper suggests chromatic number algorithm with O(m) time complexity. The proposed algorithm converts the original data to incompatibility matrix for modules and graph firstly. Then, this algorithm packs the minimum degree vertex (module) and not adjacent vertex to this vertex into the bin $B_i$ with color $C_i$ in order to exam within minimum time period and meet the incompatibility constraints. As a result of experiments, this algorithm reduces the $O(m^4)$ of linear programming to O(m) time complexity for exam scheduling problem, and gets the same solution with linear programming.

Disproof of Hadwiger Conjecture (Hadwiger 추측의 반증)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.14 no.5
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    • pp.263-269
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    • 2014
  • In this paper, I disprove Hadwiger conjecture of the vertex coloring problem, which asserts that "All $K_k$-minor free graphs can be colored with k-1 number of colors, i.e., ${\chi}(G)=k$ given $K_k$-minor." Pursuant to Hadwiger conjecture, one shall obtain an NP-complete k-minor to determine ${\chi}(G)=k$, and solve another NP-complete vertex coloring problem as a means to color vertices. In order to disprove Hadwiger conjecture in this paper, I propose an algorithm of linear time complexity O(V) that yields the exact solution to the vertex coloring problem. The proposed algorithm assigns vertex with the minimum degree to the Maximum Independent Set (MIS) and repeats this process on a simplified graph derived by deleting adjacent edges to the MIS vertex so as to finally obtain an MIS with a single color. Next, it repeats the process on a simplified graph derived by deleting edges of the MIS vertex to obtain an MIS whose number of vertex color corresponds to ${\chi}(G)=k$. Also presented in this paper using the proposed algorithm is an additional algorithm that searches solution of ${\chi}^{{\prime}{\prime}}(G)$, the total chromatic number, which also remains NP-complete. When applied to a $K_4$-minor graph, the proposed algorithm has obtained ${\chi}(G)=3$ instead of ${\chi}(G)=4$, proving that the Hadwiger conjecture is not universally applicable to all the graphs. The proposed algorithm, however, is a simple algorithm that directly obtains an independent set minor of ${\chi}(G)=k$ to assign an equal color to the vertices of each independent set without having to determine minors in the first place.