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An Effective Scheme for Estimating a Smoother Parameter in the Method of Regularization
Issue:
Volume 2, Issue 6, December 2013
Pages:
118-123
Received:
28 August 2013
Published:
20 October 2013
Abstract: We had proposed a scheme for the surface approximation which consists of the estimation by the regularization method and the evaluation by generalized CV with an influence function [1]. We have to decide the value of the optimal smoother parameter which can minimize the value of the evaluation function. Among the models which have suitable parameters, we have to choose the best model using information criteria such as CV or generalized CV with an influence function (GCVIF). However, the method of GCVIF is not practical, because it requires the calculation of the inverse matrix of the hat matrix and the influence function [2]. Those calculations take a large amount of time when n increases. An efficient scheme which will take a small amount of time is required. On the other hand, there are many parameters which we have to decide.Those are the coefficients of the spline functions and the total number of knots, and positions of the parameters and a smoother parameter of the penalized term. The range of the total number of knots is decided by the total number of sample points. The range of the positions of the knots is decided by the area of the surface. However, it is difficult to estimate the range of the value of the smoother parameter. Therefore, we have to estimate it quite roughly. In this paper, we propose an effective method to estimate the range of the smoother parameter and consequently obtain the parameter precisely. We can reduce the calculation time which does not contribute to the selection of the optimal model and we can determine a more accurate and smoother parameter in a small amount of time.
Abstract: We had proposed a scheme for the surface approximation which consists of the estimation by the regularization method and the evaluation by generalized CV with an influence function [1]. We have to decide the value of the optimal smoother parameter which can minimize the value of the evaluation function. Among the models which have suitable paramete...
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Multi Item Inventory Model With Demand Dependent On Unit Cost And Varying Lead Time Under Fuzzy Unit Production Cost; A Karush Kuhn Tucker Conditions Approach
P. Vasanthi,
C. V. Seshaiah
Issue:
Volume 2, Issue 6, December 2013
Pages:
124-126
Received:
17 September 2013
Published:
10 November 2013
Abstract: A multi item inventory model with demand dependent on unit price and leading time with limited storage space and set up cost is considered in this paper. The varying production and leading time crashing costs are considered to be continuous functions of unit price and leading time respectively. The model is solved using Karush Kuhn Tucker conditions approach with optimal order quantity, unit price and leading time as decision variables. In most of the real world situations, the cost parameters, the objective functions and constraints of the decision makers are imprecise in nature. In this paper the unit cost has been imposed in fuzzy environment. An optimal total cost is obtained which is illustrated with numerical example for a single item.
Abstract: A multi item inventory model with demand dependent on unit price and leading time with limited storage space and set up cost is considered in this paper. The varying production and leading time crashing costs are considered to be continuous functions of unit price and leading time respectively. The model is solved using Karush Kuhn Tucker condition...
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On Geometries in Affine Plane
Abdullah Kurudirek,
Hüseyin Akça,
Mehmet Erdoğan
Issue:
Volume 2, Issue 6, December 2013
Pages:
127-129
Received:
30 September 2013
Published:
20 November 2013
Abstract: So far, in different articles and books the concepts of modern definition of geometry and Minkowskian, Galilean planes and spaces have been introduced. In this paper, we are going to describe geometry that is improved by W. Thurston and then we are going to introduce you to geometries that are suitable to this description in 2 dimensional planes.
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The Synchronization of Identical Memristors Systems Via Lyapunov Direct Method
Issue:
Volume 2, Issue 6, December 2013
Pages:
130-136
Received:
13 October 2013
Published:
20 November 2013
Abstract: In this paper, we use Lyapunov direct method to analyze two identical Memristors systems and synchronization phenomena were discussed. The designed controllers were capable of making the time derivative of the Lyapunov’s negative definite functions where these results give guarantees of stability of the error dynamics at the origin and proved the results in form of theoretical and numerical ways. As the result, in both cases, one can see the synchronization phenomena.
Abstract: In this paper, we use Lyapunov direct method to analyze two identical Memristors systems and synchronization phenomena were discussed. The designed controllers were capable of making the time derivative of the Lyapunov’s negative definite functions where these results give guarantees of stability of the error dynamics at the origin and proved the r...
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Comments on the Adomian Decomposition Methods Applied to the KdV Equation
Mahmoud AKDI,
Moulay Brahim SEDRA
Issue:
Volume 2, Issue 6, December 2013
Pages:
137-142
Received:
30 September 2013
Published:
20 November 2013
Abstract: Based on previous works, especially [1] and [2], we try in the present contribution to study some new aspects of the numerical solution of the KdV equation through the standard Adomian Decomposition Method. The use of the multistage Adomian Decomposition Method, applied to this equation, will be presented and discussed.
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The Study of Heat Transfer Phenomena Using PM for Approximate Solution with Dirichlet and Mixed Boundary Conditions
U. Filobello-Nino,
H. Vazquez-Leal,
A. Sarmiento-Reyes,
A. Perez-Sesma,
L. Hernandez-Martinez,
A. Herrera-May,
V. M. Jimenez-Fernandez,
A. Marin-Hernandez,
D. Pereyra-Diaz,
A. Diaz-Sanchez
Issue:
Volume 2, Issue 6, December 2013
Pages:
143-148
Received:
28 October 2013
Published:
30 November 2013
Abstract: In this paper, we present Perturbation Method (PM) to solve nonlinear problems. As case study PM is employed to obtain approximate solutions for differential equations related with heat transfer phenomena. Comparing figures between approximate and exact solutions, show the effectiveness of the method.
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Multi-Item EOQ Model with Demand Dependent on Unit Price
R. Kasthuri,
C. V. Seshaiah
Issue:
Volume 2, Issue 6, December 2013
Pages:
149-151
Received:
11 November 2013
Published:
20 December 2013
Abstract: A multi-item inventory model with demand dependent on unit cost without shortages is discussed in this paper. This paper presents a mathematical model of inventory control problem for determining the minimum total cost with limited storage space and investment. Apart from this, the warehouse space in the selling store is considered in volume. The model is solved using Kuhn-Tucker conditions method. The model is illustrated with a numerical example assuming unit price in fuzzy environment.
Abstract: A multi-item inventory model with demand dependent on unit cost without shortages is discussed in this paper. This paper presents a mathematical model of inventory control problem for determining the minimum total cost with limited storage space and investment. Apart from this, the warehouse space in the selling store is considered in volume. The...
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Exact Solutions of two-Dimensional Nonlinear Schrödinger Equations with External Potentials
Issue:
Volume 2, Issue 6, December 2013
Pages:
152-158
Received:
12 December 2013
Published:
30 December 2013
Abstract: In this paper, exact solutions of two-dimensional nonlinear Schrödinger equation with kerr, saturable and quintic type of nonlinearities are studied by means of the Homotopy analysis method (HAM). Linear stability properties of these solutions are investigated by the linearized eigenvalue problem. We also investigate nonlinear stability properties of the exact solutions obtained by HAM by direct simulations.
Abstract: In this paper, exact solutions of two-dimensional nonlinear Schrödinger equation with kerr, saturable and quintic type of nonlinearities are studied by means of the Homotopy analysis method (HAM). Linear stability properties of these solutions are investigated by the linearized eigenvalue problem. We also investigate nonlinear stability properties ...
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Neural Network Method for Numerical Solution of Initial Value Problems of Fractional Differential Equations
Luo Xiaodan,
Junmin Zhang
Issue:
Volume 2, Issue 6, December 2013
Pages:
159-162
Published:
10 January 2013
Abstract: In this paper, the cosine basis neural network algorithm is introduced for the initial value problem of fractional differential equations. By training the neural network algorithm, we get the numerical solution of the initial value problem of fractional differential equations successfully.
