• Title/Summary/Keyword: Linear Time Complexity

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First Selection Algorithm of Minimum Degree Vertex for Maximum Independent Set Problem (최대독립집합 문제의 최소차수 정점 우선 선택 알고리즘)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.19 no.3
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    • pp.193-199
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    • 2019
  • In this paper I propose an algorithm of linear time complexity for NP-complete Maximum Independent Set (MIS) problem. Based on the basic property of the MIS, which forbids mutually adjoining vertices, the proposed algorithm derives the solution by repeatedly selecting vertices in the ascending order of their degree, given that the degree remains constant when vertices ${\nu}$ of the minimum degree ${\delta}(G)$ are selected and incidental edges deleted in a graph of n vertices. When applied to 22 graphs, the proposed algorithm could obtain the MIS visually yet effortlessly. The proposed linear MIS algorithm of time complexity O(n) always executes ${\alpha}(G)$ times, the cardinality of the MIS, and thus could be applied as a general algorithm to the MIS problem.

An Evolutionary Optimized Algorithm Approach to Compensate the Non-linearity in Linear Variable Displacement Transducer Characteristics

  • Murugan, S.;Umayal, S.P.
    • Journal of Electrical Engineering and Technology
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    • v.9 no.6
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    • pp.2142-2153
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    • 2014
  • Linearization of transducer characteristic plays a vital role in electronic instrumentation because all transducers have outputs nonlinearly related to the physical variables they sense. If the transducer output is nonlinear, it will produce a whole assortment of problems. Transducers rarely possess a perfectly linear transfer characteristic, but always have some degree of non-linearity over their range of operation. Attempts have been made by many researchers to increase the range of linearity of transducers. This paper presents a method to compensate nonlinearity of Linear Variable Displacement Transducer (LVDT) based on Extreme Learning Machine (ELM) method, Differential Evolution (DE) algorithm and Artificial Neural Network (ANN) trained by Genetic Algorithm (GA). Because of the mechanism structure, LVDT often exhibit inherent nonlinear input-output characteristics. The best approximation capability of optimized ANN technique is beneficial to this. The use of this proposed method is demonstrated through computer simulation with the experimental data of two different LVDTs. The results reveal that the proposed method compensated the presence of nonlinearity in the displacement transducer with very low training time, lowest Mean Square Error (MSE) value and better linearity. This research work involves less computational complexity and it behaves a good performance for nonlinearity compensation for LVDT and has good application prospect.

Linear/Non-Linear Tools and Their Applications to Sleep EEG : Spectral, Detrended Fluctuation, and Synchrony Analyses (컴퓨터를 이용한 수면 뇌파 분석 : 스펙트럼, 비경향 변동, 동기화 분석 예시)

  • Kim, Jong-Won
    • Sleep Medicine and Psychophysiology
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    • v.15 no.1
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    • pp.5-11
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    • 2008
  • Sleep is an essential process maintaining the life cycle of the human. In parallel with physiological, cognitive, subjective, and behavioral changes that take place during the sleep, there are remarkable changes in the electroencephalogram (EEG) that reflect the underlying electro-physiological activity of the brain. However, analyzing EEG and relating the results to clinical observations is often very hard due to the complexity and a huge data amount. In this article, I introduce several linear and non-linear tools, developed to analyze a huge time series data in many scientific researches, and apply them to EEG to characterize various sleep states. In particular, the spectral analysis, detrended fluctuation analysis (DFA), and synchrony analysis are administered to EEG recorded during nocturnal polysomnography (NPSG) processes and daytime multiple sleep latency tests (MSLT). I report that 1) sleep stages could be differentiated by the spectral analysis and the DFA ; 2) the gradual transition from Wake to Sleep during the sleep onset could be illustrated by the spectral analysis and the DFA ; 3) electrophysiological properties of narcolepsy could be characterized by the DFA ; 4) hypnic jerks (sleep starts) could be quantified by the synchrony analysis.

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A Study on the Strong Polynomial Time Algorithm for the Linear Programming (선형계획문제의 강성다항식 계산단계 기법에 관한 연구)

  • Chung, S.J.;Kang, W.M.;Chung, E.S.;Hu, H.S.
    • Journal of Korean Institute of Industrial Engineers
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    • v.19 no.4
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    • pp.3-11
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    • 1993
  • We propose a new dual simplex method using a primal interior point. The dropping variable is chosen by utilizing the primal feasible interior point. For a given dual feasible basis, its corresponding primal infeasible basic vector and the interior point are used for obtaining a decreasing primal feasible point The computation time of moving on interior point in our method takes much less than that od Karmarker-type interior methods. Since any polynomial time interior methods can be applied to our method we conjectured that a slight modification of our method can give a polynomial time complexity.

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An Image Contrast Enhancement Method Using Brightness Preseving on the Linear Approximation CDF (선형 추정 CDF에서 밝기 보존을 이용한 이미지 콘트라스트 향상 기법)

  • Cho Hwa-Hyun;Choi Myung-Ryul
    • The KIPS Transactions:PartB
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    • v.11B no.7 s.96
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    • pp.779-784
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    • 2004
  • In this paper, we have proposed an image contrast control method using brightness preserving on the FPD(Flat Panel Display). The proposed method can be easily applied to the FPD required real-time processing, since hardware complexity is greatly reduced using linear approximation method of CDF(Cumulative Density Function). For effective processing of the proposed algorithm, we have utilized the sample value of CDF and Barrel Shift. Visual test and standard deviation of their histogram have been introduced to evaluate the resultant output images of the pro-posed method and the original ones.

Clustering Algorithm of Hierarchical Structures in Large-Scale Wireless Sensor and Actuator Networks

  • Quang, Pham Tran Anh;Kim, Dong-Seong
    • Journal of Communications and Networks
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    • v.17 no.5
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    • pp.473-481
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    • 2015
  • In this study, we propose a clustering algorithm to enhance the performance of wireless sensor and actuator networks (WSANs). In each cluster, a multi-level hierarchical structure can be applied to reduce energy consumption. In addition to the cluster head, some nodes can be selected as intermediate nodes (INs). Each IN manages a subcluster that includes its neighbors. INs aggregate data from members in its subcluster, then send them to the cluster head. The selection of intermediate nodes aiming to optimize energy consumption can be considered high computational complexity mixed-integer linear programming. Therefore, a heuristic lowest energy path searching algorithm is proposed to reduce computational time. Moreover, a channel assignment scheme for subclusters is proposed to minimize interference between neighboring subclusters, thereby increasing aggregated throughput. Simulation results confirm that the proposed scheme can prolong network lifetime in WSANs.

A FAST METHOD FOR CODEBOOK SEARCH IN VSELP CODING

  • Sung Joo Kim
    • Proceedings of the Acoustical Society of Korea Conference
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    • 1994.06a
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    • pp.943-948
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    • 1994
  • The vector sum excited linear prediction(VSELP) coding gives high quality of synthetic speech at bit rates as low as 4.8kbps, but its computational complexity is prohibitive for real time applications. In this paper, we propose a method to reduce the computations of the VSELP codebook search procedure. The proposed method reduces the search space efficiently, before applying every linear combination of the basis vectors to the codebook search procedure. It decides whether is can fix the combination coefficient of each basis vector using heuristics so that the number of combinations decreases. It has been shown that the proposed method retains good quality of synthetic speech and reduces the computations of codebook search procedure by more than 40% of the origin.

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Process Optimization Method Based on Emergency Construction Work Scenario (돌관공사 시나리오 기반 공정관리 최적화 방안)

  • Lee, Si-Hyun;Lee, Seung-hak;Woo, Mi-Sun;Son, Jae-Ho
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2015.05a
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    • pp.117-118
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    • 2015
  • These days buildings have more possibilities to occur construction delay as many variables and risks are inherent in them due to the enlargement and complexity. When a project is delayed, it generates extra working expenses and this causes a dispute between the employer and the constructor. Most construction sites conduct emergency construction work to recover the delay of the project duration. When an emergency construction is carried out in the actual construction site, it's necessary to utilize and distribute the proper working groups based on the procedure of successor and predecessor. Many constructions, however, have been going only with more number of work forces and working time. This study suggests a process management optimization plan with an application of emergency construction scenario by using linear programing.

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A Study on the Process Variation Analysis for CNTFET-based Circuit Design (CNTFET 기반 회로 설계를 위한 공정 편차 분석에 관한 연구)

  • Cho, Geunho
    • Journal of IKEEE
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    • v.22 no.1
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    • pp.98-103
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    • 2018
  • The CNTFET, which is widely recognized as a next-generation semiconductor, has a structure that can improve performance by positioning CNTs between the source and drain of a conventional MOSFET. However, positioning CNTs increases the complexity of a CNTFET's structure, and the process variation changes the complex structure into various shapes; so, when CNTFET device performance is analyzed, it requires more computation than that of a conventional MOSFET. These problems greatly increase the simulation time necessary for the analysis, and sometimes that analysis cannot be performed using an existing tool; they are therefore important obstacles to designing a circuit using a CNTFET. In this study, we will show that the existing Linear Programming methodology can be utilized to solve the long simulation time problem and discuss the effect of the suggested method in detail. Simulation results show that the Linear Programming method can reduce the number of simulation about 2.5 times when the maximum number of CNT is changed from 6 to 12.

Experimental verification of the linear and non-linear versions of a panel code

  • Grigoropoulos, G.J.;Katsikis, C.;Chalkias, D.S.
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.3 no.1
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    • pp.27-36
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    • 2011
  • In the proposed paper numerical calculations are carried out using two versions of a three-dimensional, timedomain panel method developed by the group of Prof. P. Sclavounos at MIT, i.e. the linear code SWAN2, enabling optionally the use of the instantaneous non-linear Froude-Krylov and hydrostatic forces and the fully non-linear SWAN4. The analytical results are compared with experimental results for three hull forms with increasing geometrical complexity, the Series 60, a reefer vessel with stern bulb and a modern fast ROPAX hull form with hollow bottom in the stern region. The details of the geometrical modeling of the hull forms are discussed. In addition, since SWAN4 does not support transom sterns, only the two versions of SWAN2 were evaluated over experimental results for the parent hull form of the NTUA double-chine, wide-transom, high-speed monohull series. The effect of speed on the numerical predictions was investigated. It is concluded that both versions of SWAN2 the linear and the one with the non-linear Froude-Krylov and hydrostatic forces provide a more robust tool for prediction of the dynamic response of the vessels than the non-linear SWAN4 code. In general, their results are close to what was expected on the basis of experience. Furthermore, the use of the option of non-linear Froude-Krylov and hydrostatic forces is beneficial for the accuracy of the predictions. The content of the paper is based on the Diploma thesis of the second author, supervised by the first one and further refined by the third one.