2014
4
4
4
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ANALYSIS OF RENEWAL INPUT STATE DEPENDENT VACATION QUEUE WITH $N$POLICY
2
2
This paper analyzes renewal input state dependent queue with $N$ policy wherein the server takes exactly one vacation. Using the supplementary variable technique and recursive method, we derive the steady state system length distributions at various epochs. Various performance measures has been presented. Finally, some numerical computations in the form of graphs are presented to show the parameter effect on various performance measures.
1

299
307


Vijaya
Laxmi Pikkala
Andhra University, Visakhapatnam
India
Andhra University, Visakhapatnam
India
Iran


Suchitra
Vepada
Andhra University, Visakhapatnam
India
Andhra University, Visakhapatnam
India
Iran
Finite buffer
State dependent
Single vacation
$N$policy
Supplementary variable
AN INTELLIGENT FAULT DIAGNOSIS APPROACH FOR GEARS AND BEARINGS BASED ON WAVELET TRANSFORM AS A PREPROCESSOR AND ARTIFICIAL NEURAL NETWORKS
2
2
In this paper, a fault diagnosis system based on discrete wavelet transform (DWT) and artificial neural networks (ANNs) is designed to diagnose different types of fault in gears and bearings. DWT is an advanced signalprocessing technique for fault detection and identification. Five features of wavelet transform RMS, crest factor, kurtosis, standard deviation and skewness of discrete wavelet coefficients of normalized vibration signals has been selected. These features are considered as the feature vector for training purpose of the ANN. A wavelet selection criteria, Maximum Energy to Shannon Entropy ratio, is used to select an appropriate mother wavelet and discrete level, for feature extraction. To ameliorate the algorithm, various ANNs were exploited to optimize the algorithm so as to determine the best values for ‘‘number of neurons in hidden layer” resulted in a highspeed, meticulous threelayer ANN with a smallsized structure. The diagnosis success rate of this ANN was 100% for experimental data set. Some experimental set of data has been used to verify the effectiveness and accuracy of the proposed method. To develop this method in general fault diagnosis application, three different examples were investigated in cement industry. In first example a MLP network with wellformed and optimized structure (20:15:7) and remarkable accuracy was presented providing the capability to identify different faults of gears and bearings. In second example a neural network with optimized structure (20:15:4) was presented to identify different faults of bearings and in third example an optimized network (20:15:3) was presented to diagnose different faults of gears. The performance of the neural networks in learning, classifying and general fault diagnosis were found encouraging and can be concluded that neural networks have high potential in condition monitoring of the gears and bearings with various faults.
1

309
329


Mahmuod
Akbari
Shahrekord University
Iran, Islamic Republic of
Shahrekord University
Iran, Islamic Republic
Iran


Hadi
Homaei
Shahrekord University
Iran, Islamic Republic of
Shahrekord University
Iran, Islamic Republic
Iran


Mohammad
Heidari
Islamic Azad University
Iran, Islamic Republic of
Islamic Azad University
Iran, Islamic Republic
Iran
Discrete wavelet transform
Artificial Neural Network
Fault diagnosis
vibration analysis
USING PG ELEMENTS FOR SOLVING FREDHOLM INTEGRODIFFERENTIAL EQUATIONS
2
2
In this paper, we use PetrovGalerkin elements such as continuous and discontinuous Lagrangetype k0 elements and Hermitetype 31 elements to find an approximate solution for linear Fredholm integrodifferential equations on $[0,1]$. Also we show the efficiency of this method by some numerical examples
1

331
339


Majid
Karami
South Tehran Branch, Islamic Azad university
Iran, Islamic Republic of
South Tehran Branch, Islamic Azad university
Iran
Iran
integrodifferential equations
PetrovGalerkinmethod
Regular pair
Trial space
Test space
RESOLUTION METHOD FOR MIXED INTEGER LINEAR MULTIPLICATIVELINEAR BILEVEL PROBLEMS BASED ON DECOMPOSITION TECHNIQUE
2
2
In this paper, we propose an algorithm base on decomposition technique for solvingthe mixed integer linear multiplicativelinear bilevel problems. In actuality, this algorithm is an application of the algorithm given by G. K. Saharidis et al for casethat the rst level objective function is linear multiplicative. We use properties ofquasiconcave of bilevel programming problems and decompose the initial probleminto two subproblems to names RMP and SP. The lower and upper bound providedfrom the RMP and SP are updated in each iteration. The algorithm converges whenthe dierence between the upper and lower bound is less than an arbitrary tolerance.Finally, we give some numerical examples are presented in order to show the eciencyof algorithm.
1

341
355


Habibe
Sadeghi
Iran, Islamic Republic of
Iran, Islamic Republic of
Iran


Leila
Karimi
Iran
Bilevel programming
Mixed integer linear programming
Benders decomposition
Multiplicative programming
EXISTENCE OF FIXED POINTS OF CERTAIN CLASSES OF NONLINEAR MAPPINGS
2
2
In this study, we introduce the classes of $phi$strongly pseudocontractive mappings in the intermediate sense and generalized $Phi$pseudocontractive mappings in the intermediate sense and prove the existence of fixed points for those maps. The results generalise the results of several authors in literature including Xiang [Chang He Xiang, Fixed point theorem for generalized $Phi$pseudocontractive mappings, Nonlinear Analysis 70 (2009) 22772279].
1

357
364


odwin Amechi
Okeke
Department of Mathematics, University of Lagos, Nigeria
Nigeria
Lecturer,Department of Mathematics,University of Lagos,Nigeria.
Department of Mathematics, University of
Iran


Johnson O
Olaleru
Department of Mathematics, University of Lagos, Nigeria.
Professor,Department of Mathematics,University of Lagos,Nigeria.
Department of Mathematics, University of
Iran
generalized $Phi$pseudocontractive mappings in the intermediate sense
Banach spaces
fixed point
TENSION TRIGONOMETRIC SPLINES INTERPOLATION METHOD FOR SOLVING A LINEAR BOUNDARY VALUE PROBLEM
2
2
By using the trigonometric uniform splines of order 3 with a real tension factor, a numericalmethod is developed for solving a linear second order boundary value problems (2VBP) withDirichlet, Neumann and Cauchy types boundary conditions. The moment at the knots isapproximated by central finitedifference method. The order of convergence of the methodand the theory is illustrated by solving test examples. Experimental results demonstrate thatour method is more effective for the problems where the exact solution is trigonometric orhyperbolic.
1

365
376


Omar
El Khayyari
Faculty of Science and Technology University Hassan first, Settat Morocco
Morocco
Faculty of Science and Technology University
Iran


Abdellah
Lamnii
Faculty of Science and Technology, University Hassan first, Settat
Morocco
Faculty of Science and Technology, University
Iran


Jaoud
Dabounou
Faculty of Science and Technology, University Hassan first, Settat
Morocco
Faculty of Science and Technology, University
Iran
Trigonometric Bsplines
Tension factor
Boundary value problems
CAS WAVELET METHOD FOR THE NUMERICAL SOLUTION OF BOUNDARY INTEGRAL EQUATIONS WITH LOGARITHMIC SINGULAR KERNELS
2
2
In this paper, we present a computational method for solving boundary integral equations with logarithmic singular kernels which occur as reformulations of a boundary value problem for the Laplacian equation. Themethod is based on the use of the Galerkin method with CAS wavelets constructed on the unit interval as basis.This approach utilizes the nonuniform GaussLegendre quadrature rule for approximating logarithmlike singularintegrals and so reduces the solution of boundary integral equations to the solution of linear systems of algebraicequations. The properties of CAS wavelets are used to make the wavelet coe±cient matrices sparse, which eventuallyleads to the sparsity of the coe±cient matrix of the obtained system. Finally, the validity and e±ciency of the newtechnique are demonstrated through a numerical example.
1

377
387


Hojatollah
Adibi
Department of Mathematics, amirkabir University,Iran Department of mathematics, IAU,TCB
Iran, Islamic Republic of
Department of Mathematics, amirkabir University,Ir
Iran


M.
Shamooshaky
Iran


Pouria
Assar
Amirkabir University of Technology
Amirkabir University of Technology
Iran
Boundary integral equation
Logarithmic singular kernel
Galerkin method
CAS wavelet
Laplacian equation
sparse matrix
SPOT PATTERNS IN GRAY SCOTT MODEL WITH APPLICATION TO EPIDEMIC CONTROL
2
2
In this work, we analyse a pair of twodimensional coupled reactiondiusion equations known as the GrayScott model, in which spot patterns have been observed. We focus on stationary patterns, and begin by deriving the asymptotic scaling of the parameters and variables necessary for the analysis of these patterns. A complete bifurcation study of these solutions is presented. The main mathematical techniques employed in this analysis of the stationary patterns is the Turing instability theory. This paper addresses the question of how population diusion aects the formation of the spatial patterns in the GrayScott model by Turing mechanisms. In particular, we present a theoretical analysis of results of the numerical simulations in two dimensions. Moreover, there is a critical value for the system within the linear regime. Below the critical value the spatial patterns are impermanent, whereas above it stationary spot patterns can exist over time. We have observed the formation of spatial patterns during the evolution, which are sparsely isolated ordered spot patterns that emerge in thespace. In this research we focuse on three areas: rst, the biology; second, the mathematics and third, the application. We use these spatial patterns to understand the nature of disease spread and that means to understand the mechanism of interaction of the populations. There remains uncertainty in the mechanisms surrounding the genesis of how epidemics spread in their spatial enveronment. The role of mathematical modelling in understanding the spreadand control of epidemics can never be over emphised.
1

389
400


Muhammad
Abdullahi Yau
Department of Mathematical Sciences, Nasarawa State University Keffi, Nigeria;
Nigeria
Department of Mathematical Sciences, Nasarawa
Iran


M. U.
Adehi
Iran


Muktari
Garba
Department of Statistics, Waziri Umaru Federal Polytechnic BirninKebbi, Nigeria.
Nigeria
Department of Statistics, Waziri Umaru Federal
Iran
Pattern Formation
Turing instability
GrayScott model
stability analysis