• Title/Summary/Keyword: decomposition of number

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A Fast Search Algorithm for Raman Spectrum using Singular Value Decomposition (특이값 분해를 이용한 라만 스펙트럼 고속 탐색 알고리즘)

  • Seo, Yu-Gyung;Baek, Sung-June;Ko, Dae-Young;Park, Jun-Kyu;Park, Aaron
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.12
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    • pp.8455-8461
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    • 2015
  • In this paper, we propose new search algorithms using SVD(Singular Value Decomposition) for fast search of Raman spectrum. In the proposed algorithms, small number of the eigen vectors obtained by SVD are chosen in accordance with their respective significance to achieve computation reduction. By introducing pilot test, we exclude large number of data from search and then, we apply partial distance search(PDS) for further computation reduction. We prepared 14,032 kinds of chemical Raman spectrum as the library for comparisons. Experiments were carried out with 7 methods, that is Full Search, PDS, 1DMPS modified MPS for applying to 1-dimensional space data with PDS(1DMPS+PDS), 1DMPS with PDS by using descending sorted variance of data(1DMPS Sort with Variance+PDS), 250-dimensional components of the SVD with PDS(250SVD+PDS) and proposed algorithms, PSP and PSSP. For exact comparison of computations, we compared the number of multiplications and additions required for each method. According to the experiments, PSSP algorithm shows 64.8% computation reduction when compared with 250SVD+PDS while PSP shows 157% computation reduction.

DMD based modal analysis and prediction of Kirchhoff-Love plate (DMD기반 Kirchhoff-Love 판의 모드 분석과 수치해 예측)

  • Shin, Seong-Yoon;Jo, Gwanghyun;Bae, Seok-Chan
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.26 no.11
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    • pp.1586-1591
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    • 2022
  • Kirchhoff-Love plate (KLP) equation is a well established theory for a description of a deformation of a thin plate under certain outer source. Meanwhile, analysis of a vibrating plate in a frequency domain is important in terms of obtaining the main frequency/eigenfunctions and predicting the vibration of plate. Among various modal analysis methods, dynamic mode decomposition (DMD) is one of the efficient data-driven methods. In this work, we carry out DMD based modal analysis for KLP where thin plate is under effects of sine-type outer force. We first construct discrete time series of KLP solutions based on a finite difference method (FDM). Over 720,000 number of FDM-generated solutions, we select only 500 number of solutions for the DMD implementation. We report the resulting DMD-modes for KLP. Also, we show how DMD can be used to predict KLP solutions in an efficient way.

Approximate Performance Analysis of an N-design Call Center by the Decomposition Method (분할방식에 의한 N-설계 콜센터의 근사 성능분석)

  • Park, Chul-Geun;Sung, Soo-Hak;Chung, Hae
    • Journal of Korea Multimedia Society
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    • v.12 no.1
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    • pp.31-40
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    • 2009
  • Call centers have become the prevalent contact points between companies and their customers. By virtue of recent advances in communication technology, the number and size of call centers have grown dramatically. As a large portion of the operating costs are related to the labor costs, efficient design and workforce staffing are crucial for the economic success of call centers. Therefore it is very important to determine the adequate number of agents. In this context, the workforce staffing level can be modeled as mathematical optimization problem using queueing theory. In this paper, we deal with an approximate analysis of an N-design call center with two finite queues and two types of reneging customers by using the state decomposition method. We also represent some numerical examples and show the impact of the system parameters on the performance measures of the call center.

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The Study on Pre-treatment Method of Filter for Analysing the Heavy Metals in Air Quality (대기중의 중금속 분석을 위한 여지의 전처리 방법에 관한 연구)

  • 김광래;이상칠;어수미;김민영;신재영;이재영
    • Proceedings of the Korean Environmental Health Society Conference
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    • 2002.04a
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    • pp.16-19
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    • 2002
  • This study was carried out to establish the standardized analysis method in order to decide accurate concentrations of hazardous metals in the air. Acid decomposition method used usually was compared to microwave digestion method. Comparing results of tested background concentration in blank filter, we found that the magnitude of element concentration was Na, Ca, K, Mg, Al and Ba by order. The element concentrations of Glass fiber filter were higher than those of Quartz fiber filter, and the number of undetected components in Glass fiber filter was lower than that in Quartz fiber filter. Thus it is supposed that the concentration of background elements in Glass fiber filter was higher than those in Quartz fiber filter The extraction rate of microwave digestion method was superior to those of acid decomposition method during the test of blank filter as well as SRM of NIST. In case of the SRM of NIST, the average extraction efficiency of acid decomposition Method and microwave pretreatment is 53.8∼82.7%, 81.3∼97.1%, respectively. This result might be caused by the closed system of Microwave, which make outflow and loss of components less. Also microwave digestion method has other merits such as the minimization of time, reagents, and contamination. Furthermore, if the extraction condition, extraction time and used acids are optimized, the better results will be represented.

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Extraction of optimal time-varying mean of non-stationary wind speeds based on empirical mode decomposition

  • Cai, Kang;Li, Xiao;Zhi, Lun-hai;Han, Xu-liang
    • Structural Engineering and Mechanics
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    • v.77 no.3
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    • pp.355-368
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    • 2021
  • The time-varying mean (TVM) component of non-stationary wind speeds is commonly extracted utilizing empirical mode decomposition (EMD) in practice, whereas the accuracy of the extracted TVM is difficult to be quantified. To deal with this problem, this paper proposes an approach to identify and extract the optimal TVM from several TVM results obtained by the EMD. It is suggested that the optimal TVM of a 10-min time history of wind speeds should meet both the following conditions: (1) the probability density function (PDF) of fluctuating wind component agrees well with the modified Gaussian function (MGF). At this stage, a coefficient p is newly defined as an evaluation index to quantify the correlation between PDF and MGF. The smaller the p is, the better the derived TVM is; (2) the number of local maxima of obtained optimal TVM within a 10-min time interval is less than 6. The proposed approach is validated by a numerical example, and it is also adopted to extract the optimal TVM from the field measurement records of wind speeds collected during a sandstorm event.

Cavitation state identification of centrifugal pump based on CEEMD-DRSN

  • Cui Dai;Siyuan Hu;Yuhang Zhang;Zeyu Chen;Liang Dong
    • Nuclear Engineering and Technology
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    • v.55 no.4
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    • pp.1507-1517
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    • 2023
  • Centrifugal pumps are a crucial part of nuclear power plants, and their dependable and safe operation is crucial to the security of the entire facility. Cavitation will cause the centrifugal pump to violently vibration with the large number of vacuoles generated, which not only affect the hydraulic performance of the centrifugal pump but also cause structural damage to the impeller, seriously affecting the operational safety of nuclear power plants. A closed cavitation test bench of a centrifugal pump is constructed, and a method for precisely identifying the cavitation state is proposed based on Complementary Ensemble Empirical Mode Decomposition (CEEMD) and Deep Residual Shrinkage Network (DRSN). First, we compared the cavitation sensitivity of pressure fluctuation, vibration, and liquid-borne noise and decomposed the liquid-borne noise by CEEMD to capture cavitation characteristics. The decomposition results are sent into a 12-layer deep residual shrinkage network (DRSN) for cavitation identification training. The results demonstrate that the liquid-borne noise signal is the most cavitation-sensitive signal, and the accuracy of CEEMD-DRSN to identify cavitation at different stages of centrifugal pumps arrives at 94.61%

Large-eddy simulation of channel flow using a spectral domain-decomposition grid-embedding technique (스펙트럴 영역분할 격자 삽입법을 이용한 채널유동의 큰 에디 모사)

  • Gang, Sang-Mo;Byeon, Do-Yeong;Baek, Seung-Uk
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.22 no.7
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    • pp.1030-1040
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    • 1998
  • One of the main unresolved issues in large-eddy simulation(LES) of wall-bounded turbulent flows is the requirement of high spatial resolution in the near-wall region, especially in the spanwise direction. Such high resolution required in the near-wall region is generally used throughout the computational domain, making simulations of high Reynolds number, complex-geometry flows prohibitive. A grid-embedding strategy using a nonconforming spectral domain-decomposition method is proposed to address this limitation. This method provides an efficient way of clustering grid points in the near-wall region with spectral accuracy. LES of transitional and turbulent channel flow has been performed to evaluate the proposed grid-embedding technique. The computational domain is divided into three subdomains to resolve the near-wall regions in the spanwise direction. Spectral patching collocation methods are used for the grid-embedding and appropriate conditions are suggested for the interface matching. Results of LES using the grid-embedding strategy are promising compared to LES of global spectral method and direct numerical simulation. Overall, the results show that the spectral domain-decomposition grid-embedding technique provides an efficient method for resolving the near-wall region in LES of complex flows of engineering interest, allowing significant savings in the computational CPU and memory.

Incineration for Demilitarization of Waste Cyclotol (회수 Cyclotol의 비군사화를 위한 소각공정)

  • Lee, Si-Hwang;Baek, Seung-Won;Moon, Il;Park, Jung-Su;Kim, Hyoun-Soo;Oh, Min
    • Journal of the Korea Institute of Military Science and Technology
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    • v.19 no.4
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    • pp.545-550
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    • 2016
  • Demilitarization involves the disposal and recovery of obsolete explosives or ammunition. Cyclotol has been used as a military explosive along with RDX and HMX. A limited number of processes exist for safe disposal due to their sensitivity to thermal shock. Rotary kilns are widely used for thermal decomposition in many countries due to cost effectiveness and simplicity compared with supercritical oxidation. Phase change as well as condensed phase reactions(CPRs) and gas phase reactions(GPRs) with rates described by the Arrhenius equation of cyclotol has been considered in this work. Changes in gas fraction, reaction rate and mass of explosives were predicted at 490, 505 and 575 K. A maximum temperature of 2062 K has been predicted within the reactor at an initial temperature of 575 K due to GPRs. From this research, Thermal decomposition in the rotary kiln is plausible for demilitarization.

A Decomposition Based MDO by Coordination of Disciplinary Subspace Optimization (분야별 하부시스템의 최적화를 통합한 분해기반 MDO 방법론)

  • Jeong, Hui-Seok;Lee, Jong-Su
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.9
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    • pp.1822-1830
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    • 2002
  • The paper describes the development of a decomposition based multidisciplinary design optimization (MDO) method that coordinates each of disciplinary subspace optimization (DSO). A multidisciplinary design system considered in the present study is decomposed into a number of subspaces based on their own design objective and constraints associated with engineering discipline. The coupled relations among subspaces are identified by interdisciplinary design variables. Each of subsystem level optimization, that is DSO would be performed in parallel, and the system level coordination is determined by the first order optimal sensitivities of subspace objective functions with respect to interdisciplinary design variables. The central of the present work resides on the formulation of system level coordination strategy and its capability in decomposition based MDO. A fluid-structure coupled design problem is explored as a test-bed to support the proposed MDO method.