scholarly journals A new optimization method based on Perry's idea through the use of the matrix power

2021 ◽  
Vol 20 (4) ◽  
pp. 29-41
Author(s):  
Imane Hafaidia ◽  
Noureddine Benrabia ◽  
Mourad Ghiat ◽  
Hamza Guebbai
Keyword(s):  
Optimization Method ◽  
The Matrix ◽  
Matrix Power

scholarly journals Research on urban public bicycle dispatching optimization method

2019 ◽  
Author(s):  
Lin Fei ◽  
Yang Yang ◽  
Wang Shihua ◽  
Xu Yudi ◽  
Ma Hong
Keyword(s):  
Clustering Algorithm ◽  
Optimization Method ◽  
Multi Objective Optimization ◽  
Data Set ◽  
Community Discovery ◽  
The Public ◽  
Multi Objective ◽  
Scheduling Scheme ◽  
Theoretical Support ◽  
The Matrix

Unreasonable public bicycle dispatching area division seriously affects the operational efficiency of the public bicycle system. To solve this problem, this paper innovatively proposes an improved community discovery algorithm based on multi-objective optimization (CDoMO). The data set is preprocessed into a lease/return relationship, thereby it calculated a similarity matrix, and the community discovery algorithm Fast Unfolding is executed on the matrix to obtain a scheduling scheme. For the results obtained by the algorithm, the workload indicators (scheduled distance, number of sites, and number of scheduling bicycles) should be adjusted to maximize the overall benefits, and the entire process is continuously optimized by a multi-objective optimization algorithm NSGA2. The experimental results show that compared with the clustering algorithm and the community discovery algorithm, the method can shorten the estimated scheduling distance by 20%-50%, and can effectively balance the scheduling workload of each area. The method can provide theoretical support for the public bicycle dispatching department, and improve the efficiency of public bicycle dispatching system.

Experimental investigation, modeling and optimization study on the mechanical properties of B4Cp/MWCNT/epoxy multi-scale hybrid composite

2020 ◽  
pp. 096739112097118
Author(s):  
Mustafa Taşyürek
Keyword(s):  
Mechanical Properties ◽  
Tensile Strength ◽  
Process Parameters ◽  
Hybrid Composite ◽  
Optimization Method ◽  
High Rate ◽  
Dominant Factor ◽  
Mechanical And Thermal Properties ◽  
Multi Scale ◽  
The Matrix

In this study, process parameters and mechanical properties of the multi-scale composite were investigated experimentally and predictably. Multi-scale material includes boron carbide particles and multi walled carbon nanotubes (MWCNTs) in the epoxy-based matrix. Both reinforcements were reinforced into the matrix with various rates simultaneously. Average three tensile strength and hardness values were determined. The tensile strength and hardness were enhanced thanks to high rate of B4C usage up to 54.09% and 2.54%, respectively. The microstructure of the hybrid composite was investigated by Scanning Electron Microscopy. Also, Fourier Transform Infrared Spectroscopy was used to interpret spectral bands. The experimental data were analyzed using optimization method. Optimal process parameters for tensile strength and interfacial properties were determined. The Analysis of Variance (ANOVA) was used to obtain most significant factor and optimum levels of parameters. Finally, it was observed that B4C ratio is the most dominant factor affecting the mechanical and thermal properties.

The Matrix Effect and Application of the Multi-Parameter Optimization Method for X-Ray Spectrometric Determination of the Quantitative Composition of Clays

2018 ◽  
Vol 788 ◽  
pp. 108-113
Author(s):  
Anna Trubaca-Boginska ◽  
Andris Actins ◽  
Ruta Švinka ◽  
Visvaldis Švinka
Keyword(s):  
Chemical Composition ◽  
Parameter Optimization ◽  
Matrix Effect ◽  
Standard Addition ◽  
Optimization Method ◽  
Quantitative Composition ◽  
Parameter Method ◽  
X Ray ◽  
Influence Coefficients ◽  
The Matrix

Determining the quantitative composition of clay samples with X-ray fluorescent spectrometry is complicated because of the matrix effect, in which any element can increase or decrease the analytical signals of other elements. In order to predict the properties of clays, it is essential to know their precise chemical composition. Therefore, using the standard addition method was determined calibration and empirical influence coefficients, as well as the true composition of the elements. Farther, these coefficients were used to correct the matrix effect and develop a multi-parameter optimization method. It was determined that in clay samples, consisting of Si, Al, Fe, K, Mg, Ca, Na and Ti oxide formula units, the most significant contribution for matrix effect correction calculations was from the calibration coefficients. Moreover, the largest deviation from the X-ray fluorescent data and true values was determined in the MgO and Na2O cases. In this study was established, that the developed multi-parameter method can be successfully applied to determine the quantitative chemical composition of clay samples of similar compositions.

Gust Response Parameter Optimization of Two-Dimensional Airfoil Section

2013 ◽  
Vol 344 ◽  
pp. 55-60
Author(s):  
Ying Bi ◽  
Zhi Gang Wu ◽  
Chao Yang
Keyword(s):  
Parameter Optimization ◽  
Degrees Of Freedom ◽  
Aircraft Design ◽  
Optimization Method ◽  
System Response ◽  
Two Dimensional ◽  
Airfoil Section ◽  
Response Parameter ◽  
The Matrix ◽  
Simulated Calculation

Taking the two-dimensional airfoil section model with two degrees of freedom as the object, this paper develops a multi-parameter optimization method, which regards the minimum system response under the given gust disturbances as the objective function and gives the expression describing the state space form of response sensitivity in which the matrix parameter sensitivity solution obtained by CVD method, further more, the Newton iteration method based on the sensitivity is adopted to realize the parameter optimization. By the simulated calculation of numerical examples and comparing with the conventional method, the optimization method has the advantage of better calculation efficiency and robustness and being used for aircraft design.

scholarly journals Genetic divergence among elephantgrass cultivars assessed by RAPD markers in composit samples

2002 ◽  
Vol 59 (4) ◽  
pp. 623-627 ◽  
Author(s):  
Rogério Figueiredo Daher ◽  
Messias Gonzaga Pereira ◽  
Antônio Vander Pereira ◽  
Antônio Teixeira do Amaral Jr.
Keyword(s):  
Dna Markers ◽  
Genetic Divergence ◽  
Rapd Markers ◽  
Pearson Correlation ◽  
Optimization Method ◽  
Pennisetum Purpureum ◽  
Germplasm Bank ◽  
Arbitrary Primers ◽  
Forage Plants ◽  
The Matrix

Elephantgrass (Pennisetum purpureum Schum.) is native to regions of tropical Africa and was introduced in Brazil around 1920 through plantings imported from Cuba. It is currently one of the most widespread forage plants throughout the country. At first, there were two cultivars, Napier and Mercker, with well defined characteristics. New genotypes arose and it is believed that the large number of cultivars existing today in germplasm bank is due to duplicates. DNA markers for cultivar characterization are a very valuable tool, especially in situations where morphological and isoenzymatic markers have already been used as in the case of elephantgrass. Thus RAPD markers were used to estimate the genetic divergence among the Napier group elephantgrass cultivars from the elephantgrass Active Germplasm Bank at EMBRAPA Dairy Cattle. The polymerase chain reaction with 37 arbitrary primers from the OPERON Technologies series supplied 94 polymorphic and 73 monomorphic bands. From the matrix of complement of the Nei index, cluster analysis by the Tocher optimization method formed three clusters. Pearson correlation among genetic distance estimates obtained from the DNA markers and the isoenzymatic markers showed the consistency of both the methods in assessing genetic divergence among elephantgrass cultivars. No duplicates were found in the treatments assessed.

scholarly journals Urban public bicycle dispatching optimization method

2019 ◽  
Vol 5 ◽  
pp. e224
Author(s):  
Fei Lin ◽  
Yang Yang ◽  
Shihua Wang ◽  
Yudi Xu ◽  
Hong Ma ◽  
...  
Keyword(s):  
Clustering Algorithm ◽  
Optimization Method ◽  
Multi Objective Optimization ◽  
Data Set ◽  
Community Discovery ◽  
The Public ◽  
Multi Objective ◽  
Scheduling Scheme ◽  
Theoretical Support ◽  
The Matrix

Unreasonable public bicycle dispatching area division seriously affects the operational efficiency of the public bicycle system. To solve this problem, this paper innovatively proposes an improved community discovery algorithm based on multi-objective optimization (CDoMO). The data set is preprocessed into a lease/return relationship, thereby it calculated a similarity matrix, and the community discovery algorithm Fast Unfolding is executed on the matrix to obtain a scheduling scheme. For the results obtained by the algorithm, the workload indicators (scheduled distance, number of sites, and number of scheduling bicycles) should be adjusted to maximize the overall benefits, and the entire process is continuously optimized by a multi-objective optimization algorithm NSGA2. The experimental results show that compared with the clustering algorithm and the community discovery algorithm, the method can shorten the estimated scheduling distance by 20%–50%, and can effectively balance the scheduling workload of each area. The method can provide theoretical support for the public bicycle dispatching department, and improve the efficiency of public bicycle dispatching system.

scholarly journals Perfectly Secure Shannon Cipher Construction Based on the Matrix Power Function

Symmetry ◽  
2020 ◽  
Vol 12 (5) ◽  
pp. 860
Author(s):  
Eligijus Sakalauskas ◽  
Lina Dindienė ◽  
Aušrys Kilčiauskas ◽  
Kȩstutis Lukšys
Keyword(s):  
Power Function ◽  
Block Cipher ◽  
Data Block ◽  
Theoretical Level ◽  
Complete Problem ◽  
The Matrix ◽  
Matrix Power ◽  
Shannon Cipher ◽  
One Way Function ◽  
Selection Of

A Shannon cipher can be used as a building block for the block cipher construction if it is considered as one data block cipher. It has been proved that a Shannon cipher based on a matrix power function (MPF) is perfectly secure. This property was obtained by the special selection of algebraic structures to define the MPF. In an earlier paper we demonstrated, that certain MPF can be treated as a conjectured one-way function. This property is important since finding the inverse of a one-way function is related to an N P -complete problem. The obtained results of perfect security on a theoretical level coincide with the N P -completeness notion due to the well known Yao theorem. The proposed cipher does not need multiple rounds for the encryption of one data block and hence can be effectively parallelized since operations with matrices allow this effective parallelization.

scholarly journals On some inequalities for the matrix power and Karcher means

2013 ◽  
Vol 438 (3) ◽  
pp. 1293-1304 ◽  
Author(s):  
Yongdo Lim ◽  
Takeaki Yamazaki
Keyword(s):  
The Matrix ◽  
Matrix Power

scholarly journals Some matrix power and Karcher means inequalities involving positive linear maps

Filomat ◽  
2018 ◽  
Vol 32 (7) ◽  
pp. 2625-2634
Author(s):  
Monire Hajmohamadi ◽  
Rahmatollah Lashkaripour ◽  
Mojtaba Bakherad
Keyword(s):  
Weight Vector ◽  
Positive Definite ◽  
Matrix Inequalities ◽  
Positive Definite Matrices ◽  
Linear Map ◽  
Linear Maps ◽  
Karcher Mean ◽  
The Matrix ◽  
Positive Linear Maps ◽  
Matrix Power

In this paper, we generalize some matrix inequalities involving the matrix power means and Karcher mean of positive definite matrices. Among other inequalities, it is shown that if A = (A1,...,An) is an n-tuple of positive definite matrices such that 0 < m ? Ai ? M (i = 1,...,n) for some scalars m < M and ? = (w1,...,wn) is a weight vector with wi ? 0 and ?n,i=1 wi=1, then ?p (?n,i=1 wiAi)? ?p?p(Pt(?,A)) and ?p (?n,i=1 wiAi) ? ?p?p(?(?,A)), where p > 0,? = max {(M+m)2/4Mm,(M+m)2/42p Mm}, ? is a positive unital linear map and t ? [-1,1]\{0}.

scholarly journals Optimization Algorithm of Matrix Riccati Differential Equation and Application

2011 ◽  
Vol 2-3 ◽  
pp. 801-806
Author(s):  
Xiang Lin Hou ◽  
De Sheng Huang ◽  
Cong Chen
Keyword(s):  
Differential Equation ◽  
Matrix Element ◽  
Optimization Method ◽  
Control Parameters ◽  
Riccati Differential Equation ◽  
Dynamic Design ◽  
Design Variables ◽  
The Matrix ◽  
New Thinking ◽  
Riccati Matrix

To the matrix Riccati differential equation, based on dynamic design Variables Optimization Method, making unknown element of Riccati matrix as design variables, square sum of defined summation matrix element as objective function, a kind of new optimization Method about element of Riccati matrix orders is built. Universal program is formed. Practical examples are computed. Effectiveness is shown through result. The method is a new thinking for computing high order matrix Riccati Differential equation and obtaining control parameters.

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