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Search Results: 1 - 10 of 8196 matches for " linear combination "
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Numerical Solution of a Class of Nonlinear Optimal Control Problems Using Linearization and Discretization  [PDF]
Mohammad Hadi Noori Skandari, Emran Tohidi
Applied Mathematics (AM) , 2011, DOI: 10.4236/am.2011.25085
Abstract: In this paper, a new approach using linear combination property of intervals and discretization is proposed to solve a class of nonlinear optimal control problems, containing a nonlinear system and linear functional, in three phases. In the first phase, using linear combination property of intervals, changes nonlinear system to an equivalent linear system, in the second phase, using discretization method, the attained problem is converted to a linear programming problem, and in the third phase, the latter problem will be solved by linear programming methods. In addition, efficiency of our approach is confirmed by some numerical examples.
Using GIS-Based Weighted Linear Combination Analysis and Remote Sensing Techniques to Select Optimum Solid Waste Disposal Sites within Mafraq City, Jordan  [PDF]
Ahmad Al-Hanbali, Bayan Alsaaideh, Akihiko Kondoh
Journal of Geographic Information System (JGIS) , 2011, DOI: 10.4236/jgis.2011.34023
Abstract: Landfill siting was determined within Mafraq City, Jordan, through the integration of geographic information system (GIS), weighted linear combination (WLC) analysis, and remote sensing techniques. Several parameters were collected from various sources in vector and raster GIS formats, and then, used within the GIS-based WLC analysis to select optimum solid waste disposal sites. Namely, urban areas, agricultural lands, access roads, surface aquifers, groundwater table, fault system, water wells, streams, and land slope were considered in this research. Also, the trend of urban expansion within the study area was monitored using the Landsat data of 1989, 1999, and 2009 to support the selection process of disposal sites. It is found that about 84% of the study area was within “most suitable” to “moderately suitable” classes for landfill sites, while the rest of the study area was within “poorly suitable” and “unsuitable” classes. Based on the analysis of Landsat satellite data the urban area was expanded of more than 240% during the last three decades, mainly toward south, and southwest, except the villages near the existing disposal site, where the trend was toward east and northeast. Finally, three sites were suggested as alternatives to the existing disposal site taking into the consideration the environmental, biophysical, and economical variables applied in the GIS-based WLC analysis.
On Some Procedures Based on Fisher’s Inverse Chi-Square Statistic  [PDF]
Kepher H. Makambi
Applied Mathematics (AM) , 2013, DOI: 10.4236/am.2013.48150

We present approximations to the distribution of the weighted combination of independent and dependent p - values, \"\". In case that independence of Pi 's is not assumed, it is argued that the quantity A is implic-itly dominated by positive definite quadratic forms that induce a chi-square distribution. This gives way to the approximation of the associated degrees of freedom using Satterthwaite (1946) or Patnaik (1949) method. An approximation by Brown (1975) is used to estimate the covariance between the log transformed P - values. The performance of the approximations is compared using simulations. For both the independent and dependent cases, the approximations are shown to yield probability values close to the nominal level, even for arbitrary weights, ωi ’s.

Potential Hazard Map for Snow Disaster Prevention Using GIS-Based Weighted Linear Combination Analysis and Remote Sensing Techniques: A Case Study in Northern Xinjiang, China  [PDF]
Gulijianati Abake, Ahmad Al-Hanbali, Bayan Alsaaideh, Ryutaro Tateishi
Advances in Remote Sensing (ARS) , 2014, DOI: 10.4236/ars.2014.34018
Abstract: Snow disaster is one of the top ten natural disasters worldwide. Almost every year, there will be snow disasters in north Xinjiang, northwestern China. Since the accumulated heavy snow in winter season will seriously threaten people’s lives, the main object of this study is to produce a potential hazard map for snow avalanche prevention. Taking three snow seasons from November to March of year 2008 to 2010, potential hazard areas were estimated, based on snow volume products and terrain features. Remote sensing (RS) techniques and geographical information system (GIS) based weighted linear combination (WLC) approach were applied, taking into consideration multiple criteria. Snow avalanche risks were analyzed using physical exposure and vulnerability indexes. The analysis indicates that: the areas at high-risk of avalanches are located in the north and south part of the counties of Altay, Bortala and Ili prefectures; the areas at medium-risk of avalanches are found in the certain part of Altay prefecture and Urumqi, Changji, Tacheng prefectures; the avalanche risk is generally low throughout the large area to the certain part of the study area and the region on the border of the eastern north Xinjiang. Overall, the risks of snow avalanche in Altay and Ili prefectures are higher than that other regions; those areas should be allocated correspondingly more salvage materials.
Legendre Approximation for Solving a Class of Nonlinear Optimal Control Problems  [PDF]
Emran Tohidi, Omid Reza Navid Samadi, Mohammad Hadi Farahi
Journal of Mathematical Finance (JMF) , 2011, DOI: 10.4236/jmf.2011.11002
Abstract: This paper introduces a numerical technique for solving a class of optimal control problems containing nonlinear dynamical system and functional of state variables. This numerical method consists of two major parts. In the first part, using linear combination property of intervals, we convert the nonlinear dynamical system into an equivalent linear system. And in the second part, which we are dealing with a linear dynamical system, using Legendre expansions for approximating both the state and associated control together with discretizing the constraints over the Chebyshev-Gauss-Lobatto points, the optimal control problem is transformed into a corresponding NLP problem which is diretly solved. The proposed idea is illustrated by several numerical examples.
On Certain Subclass of Analytic Functions Based on Convolution of Ruscheweyh and Generalized Salagean Differential Operator  [PDF]
Ajai P. Terwase
Open Access Library Journal (OALib Journal) , 2017, DOI: 10.4236/oalib.1103716
In this paper, we obtain certain properties of an operator defined by the convolution between Ruscheweyh and Salagean differential operator; coefficient inequality, extreme point growth and distortion among other properties are investigated.
A New Multi-Method Combination Forecasting Model for ESDD Predicting  [PDF]
Haiyan SHUAI, Qingwu GONG
Energy and Power Engineering (EPE) , 2009, DOI: 10.4236/epe.2009.12015
Abstract: Equal Salt Deposit Density (ESDD) is a main factor to classify contamination severity and draw pollution distribution map. The precise ESDD forecasting plays an important role in the safety, economy and reliability of power system. To cope with the problems existing in the ESDD predicting by multivariate linear regression (MLR), back propagation (BP) neural network and least squares support vector machines (LSSVM), a nonlinear combination forecasting model based on wavelet neural network (WNN) for ESDD is proposed. The model is a WNN with three layers, whose input layer has three neurons and output layer has one neuron, namely, regarding the ESDD forecasting results of MLR, BP and LSSVM as the inputs of the model and the observed value as the output. In the interest of better reflection of the influence of each single forecasting model on ESDD and increase of the accuracy of ESDD prediction, Morlet wavelet is used to con-struct WNN, error backpropagation algorithm is adopted to train the network and genetic algorithm is used to determine the initials of the parameters. Simulation results show that the accuracy of the proposed combina-tion ESDD forecasting model is higher than that of any single model and that of traditional linear combina-tion forecasting (LCF) model. The model provides a new feasible way to increase the accuracy of pollution distribution map of power network.
Stechkin-Marchaud Type Inequalities in Lp for Linear Combination of Bernstein-Durrmeyer Operators  [PDF]
Feng Guo, Meiqin Ke
Open Journal of Applied Sciences (OJAppS) , 2012, DOI: 10.4236/ojapps.2012.24B052
Abstract: In this paper, we use the equivalence relation between K-functional and modulus of smoothness, and give the Stechkin-Marchaud-type inequalities for linear combination of Bernstein-Durrmeyer operators . Moreover, we obtain the inverse result of approximation for linear combination of Bernstein-Durrmeyer operators with . Meanwhile we unify and extend some previous results.
GIS Based Landslide Susceptibility Mapping with Application of Analytical Hierarchy Process in District Ghizer, Gilgit Baltistan Pakistan  [PDF]
Irum Rahim, Syeda Maria Ali, Maria Aslam
Journal of Geoscience and Environment Protection (GEP) , 2018, DOI: 10.4236/gep.2018.62003
Abstract: District Ghizer is a rugged mountainous territory which experiences several landslides each year. There are 16 major landslide areas and 53 villages that are at high risk to hazards. Keeping in view the severity of natural hazards, the present study was designed to generate landslide susceptibility map based on twelve causative factors viz., slope, aspect, elevation, drainage network, Stream Power Index (SPI), Topographic Wetness Index (TWI), lithological units, fault lines, rainfall, road network, land cover and soil texture. Soil texture was determined by particle size analysis and data for other factors were acquired from freely available sources. Analytical Hierarchy Process (AHP) was employed to identify major landslide causative factors in the district Ghizer. Further, a temporal assessment from 1999 till 2015 was generated to assess the impact of land cover change on landslides. It indicated that the barren soil/ exposed rocks and glaciers have reduced while the vegetation and water classes have shown increment. The total area that lies in moderate to very high landslide susceptible zones was 74.38%, while slope is the main landslide causative factor in the district Ghizer. Validation of the susceptibility map showed 88.1% of the landslides in the study area had occurred in the moderate to very high susceptible zones.
Viabilidad para pronósticos hidrológicos de niveles diarios, semanales y decadales en colombia
Domínguez Calle,Efraín Antonio; Angarita,Hector; Rivera,Hebert;
Ingeniería e Investigación , 2010,
Abstract: this paper analyses the feasibility of forecasting daily, weekly and ten-day water-levels at 20 hydrological stations forming part of the monitoring network supporting the institute of hydrology, meteorology and environmental studies? (ideam) alert service in colombia (http://www.ideam.gov.co). such viability was determined by a set of orthogonal performance criteria and implementing optimally adaptive linear combinations (oalc) was recommended for this study as a viable operator for configuring a real-time hydrological forecast system. it is shown that the forecast for daily, weekly and ten-day levels had satisfactory viability for 70% of the cases studied.
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