eng
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2015-09-01
7
4
293
299
7842
مقاله پژوهشی
Evaluating Quasi-Monte Carlo (QMC) algorithms in blocks decomposition of de-trended
K. Fathi Vajargah
k fathi@iau-tnb.ac.ir
1
Department of Statistics, Islamic Azad University, North Branch Tehran, Iran.
The length of equal minimal and maximal blocks has eected on logarithm-scale logarithm against sequential function on variance and bias of de-trended uctuation analysis, by using Quasi Monte Carlo(QMC) simulation and Cholesky decompositions, minimal block couple and maximal are founded which are minimum the summation of mean error square in Horest power.
http://ijim.srbiau.ac.ir/article_7842_367056cfb9ee66a23598e52ae07d4e52.pdf
De-trended uctuation analysis
Long-range dependence
Cholesky decomposition
Quasi
Monte Carlo simulation
eng
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2015-10-01
7
4
301
311
7884
مقاله پژوهشی
An artificial intelligence model based on LS-SVM for third-party logistics provider selection
B. Vahdani
b.vahdani@gmail.com
1
Sh. Sadigh Behzadi
2
S. M. Mousavi
3
Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran.
Department of Mathematics, Islamic Azad University, Qazvin Branch, Qazvin, Iran.
Industrial Engineering Department, Faculty of Engineering, Shahed University, Tehran, Iran.
The use of third-party logistics (3PL) providers is regarded as new strategy in logistics management. The relationships by considering 3PL are sometimes more complicated than any classical logistics supplier relationships. These relationships have taken into account as a well-known way to highlight organizations' flexibilities to regard rapidly uncertain market conditions, follow core competencies, and provide long-term growth strategies. Choosing service providers has been considered as a notable research area in the last two decades. The review of the literature represents that neural networks have proposed better performance than traditional methods in this area. Therefore, in this paper, a new enhanced artificial intelligence (AI) approach is taken into consideration to assist the decision making for the logistics management which can be successfully presented in cosmetics industry for long-term prediction of the real performance data. The presented AI approach is based on modern hybrid neural networks to improve the decision making for the 3PL selection. The model can predict the overall performance of the 3PL according to least squares support vector machine and cross validation technique. In addition, the proposed AI approach is given for the 3PL selection in a real case study for the cosmetics industry. The computational results indicate that the proposed AI approach provides high performance and accuracy through the real-life situations prediction along with comparing two other two well-known AI methods.
http://ijim.srbiau.ac.ir/article_7884_d91200a467386cad16da5f132144b933.pdf
Artificial Intelligence (AI)
Least squares support vector machine (LS-SVM)
Cross Validation
Third-party logistics (3PL) provider selection problem
eng
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2015-10-01
7
4
313
319
7885
مقاله پژوهشی
Implementation of Sinc-Galerkin on Parabolic Inverse problem with unknown boundary condition
J. Biazar
biazar@guilan.ac.ir
1
T. Houlari
2
Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P. O. Box 41335-1914, Guilan, Rasht, Iran.
Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P. O. Box 41335-1914, Guilan, Rasht, Iran.
The determination of an unknown boundary condition, in a nonlinaer inverse diffusion problem is considered. For solving these ill-posed inverse problems, Galerkin method based on Sinc basis functions for space and time will be used. To solve the system of linear equation, a noise is imposed and Tikhonove regularization is applied. By using a sensor located at a point in the domain of $x$, say $x=a'$, and determining $u(a',t)$ a stable solution will be achived. An illustrative example is provided to show the ability and the efficiency of this numerical approach.
http://ijim.srbiau.ac.ir/article_7885_1898885f7e1d0d96014ecdf5b9686e99.pdf
Ill-posed inverse problems
Sinc-Galerkin method
Tikhonov regularization
Unkown boundary condition
eng
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2015-10-01
7
4
321
326
7936
مقاله پژوهشی
Detecting the location of the boundary layers in singular perturbation problems with general linear non-local boundary conditions
N. Aliev
1
S. Ashrafi
2
A. R. Sarakhsi
s.alireza.sarakhsi@azaruniv.edu
3
Department of Mathematics, Baku State University, Baku, Azarbaijan.
Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.
Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.
Singular perturbation problems have been studied by many mathematicians. Since the approximate solutions of these problems are as the sum of internal solution (boundary layer area) and external ones, the formation or non-formation of boundary layers should be specified. This paper, investigates this issue for a singular perturbation problem including a first order differential equation with general non-local boundary condition. It needs to say that it is simple for local boundary conditions and there is no difficulty. However, the formation of boundary layers for non-local case is not as stright forward as local case. To tackle this problem generalized solution of differential equation and some necessary conditions are used.
http://ijim.srbiau.ac.ir/article_7936_bd187153c460a00160e4894f3dcb8deb.pdf
Generalized solution
Necessary conditions
Non-local boundary conditions
Singular
perturbation problems
Fundamental solution
Uniform limit
eng
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2015-10-01
7
4
327
333
7937
مقاله پژوهشی
Fuzzy number-valued fuzzy relation
M. Adabitabar Firozja
mohamadsadega@yahoo.com
1
S. Firouzian
2
Department of mathematics, Qaemshar Branch, Islamic Azad University, Qaemshahr, Iran.
Department of Mathematics, Payame Noor University (PNU), Tehran, Iran.
It is well known fact that binary relations are generalized mathematical functions. Contrary to functions from domain to range, binary relations may assign to each element of domain two or more elements of range. Some basic operations on functions such as the inverse and composition are applicable to binary relations as well. Depending on the domain or range or both are fuzzy value fuzzy set, interval fuzzy value fuzzy set or fuzzy number value fuzzy set, define of the fuzzy relation is different. Given a fuzzy relation, its domain and range are fuzzy number value fuzzy sets. In this paper, initially we define fuzzy number value fuzzy sets and then propose fuzzy number-valued fuzzy relation (FN-VFR). We also introduce property of reflexive, symmetric, transitive and equivalence relation of FN-VFR. As follow, we prove some theorems for FN-VFR with property of reflexive, symmetric and transitive. Also, we show examples for FN-VFR.
http://ijim.srbiau.ac.ir/article_7937_f2a7e85462457a524173da9f0b0a5d54.pdf
Fuzzy numbers
Relation
Fuzzy relation
Reflexive
Symmetric and transitive
eng
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2015-10-01
7
4
335
341
7953
مقاله پژوهشی
Autoconvolution equations and generalized Mittag-Leffler functions
S. Eshaghi
1
A. Ansari
alireza_1038@yahoo.com
2
Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahrekord University, P.O. Box 115, Shahrekord, Iran.
Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahrekord University, P.O. Box 115, Shahrekord, Iran.
This article is devoted to study of the autoconvolution equations and generalized Mittag-Leffler functions. These types of equations are given in terms of the Laplace transform convolution of a function with itself. We state new classes of the autoconvolution equations of the first kind and show that the generalized Mittag-Leffler functions are solutions of these types of equations. In view of the inverse Laplace transform, we use the Schouten-Vanderpol theorem to establish an autoconvolution equation for the generalized Mittag-Leffler functions in terms of the Laplace and Mellin transforms. Also, in special cases we reduce the solutions of the introduced autoconvolution equations with respect to the Volterra $mu$-functions. Moreover, more new autoconvolution equations are shown using the Laplace transforms of generalized Mittag-Leffler functions. Finally, as an application of the autoconvolution equations in thermodynamic systems, we apply the Laplace transform for solving the Boltzmann equation and show its solution in terms of generalized Mittag-Leffler functions.
http://ijim.srbiau.ac.ir/article_7953_782b382b0d2fb48f4139f841ed11da51.pdf
Mittag-leffler function
Volterra function
Autoconvolution equations
Boltzmann equation
eng
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2015-10-01
7
4
343
350
7956
مقاله پژوهشی
Dirichlet series and approximate analytical solutions of MHD flow over a linearly stretching sheet
Vishwanath B. Awati
await\_vb@yahoo.com
1
Mahesh Kumar N
2
Krishna B. Chavaraddi
3
Department of Mathematics, Rani Channamma University, Belagavi -591 156, India.
Department of Mathematics, Rani Channamma University, Belagavi -591 156, India.
Department of Mathematics, Govt. First Grade College, Naragund â€“ 582 207, India.
The paper presents the semi-numerical solution for the magnetohydrodynamic (MHD) viscous flow due to a stretching sheet caused by boundary layer of an incompressible viscous flow. The governing partial differential equations of momentum equations are reduced into a nonlinear ordinary differential equation (NODE) by using a classical similarity transformation along with appropriate boundary conditions. Both nonlinearity and infinite interval demand novel the mathematical tools for their analysis. The solution of the resulting third order nonlinear boundary value problem with an infinite interval is obtained using fast converging Dirichlet series method and approximate analytical method viz. method of stretching of variables. These methods have the advantages over pure numerical methods for obtaining the derived quantities accurately for various values of the parameters involved at a stretch and they are valid in much larger parameter domain as compared with HAM, HPM, ADM and the classical numerical schemes. Also, these methods require less computer memory space as compared with pure numerical methods.
http://ijim.srbiau.ac.ir/article_7956_3723183a3147bf49af4e9e735fcad0a3.pdf
Magnetohydrodynamics (MHD)
Boundary layer flow
Shrinking sheet
Dirichlet series
Powell's method
Method of stretching variables
eng
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2015-10-01
7
4
351
374
8000
مقاله پژوهشی
Application of the exact operational matrices for solving the Emden-Fowler equations, arising in Astrophysics
S. A. Hossayni
1
J. A. Rad
2
K. Parand
k_parand@sbu.ac.ir
3
S. Abbasbandy
abbasbandy@yahoo.com
4
Department of Computer Sciences, Faculty of Mathematical Sciences, Shahid Beheshti University, Evin,Tehran 19839, Iran.
Department of Computer Sciences, Faculty of Mathematical Sciences, Shahid Beheshti University, Evin,Tehran 19839, Iran.
Department of Computer Sciences, Faculty of Mathematical Sciences, Shahid Beheshti University, Evin,Tehran 19839, Iran.
Department of Mathematics, Imam Khomeini International University, Qazvin, Iran.
The objective of this paper is applying the well-known exact operational matrices (EOMs) idea for solving the Emden-Fowler equations, illustrating the superiority of EOMs over ordinary operational matrices (OOMs). Up to now, a few studies have been conducted on EOMs ; but the solved differential equations did not have high-degree nonlinearity and the reported results could not strongly show the excellence of this new method. So, we chose Emden-Fowler type differential equations and solved them utilizing this method. To confirm the accuracy of the new method and to show the preeminence of EOMs over OOMs, the norm 1 of the residual and error function for both methods are evaluated for multiple $m$ values, where $m$ is the degree of the Bernstein polynomials. We report the results by some plots to illustrate the error convergence of both methods to zero and also to show the primacy of the new method versus OOMs. The obtained results demonstrate the increased accuracy of the new method.
http://ijim.srbiau.ac.ir/article_8000_a110344915eb3d77abbd366d7df8d182.pdf
Exact operational matrices
Bernstein polynomials
Emden-Fowler equation
Lane-Emden equation
eng
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2015-10-01
7
4
375
385
8590
مقاله پژوهشی
Numerical solution of two-dimensional fuzzy Fredholm integral equations using collocation fuzzy wavelet like operator
N. Hassasi
1
R. Ezzati
ezati@kiau.ac.ir
2
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
In this paper, first we propose a new method to approximate the solution of two-dimensional linear fuzzy Fredholm integral equations of the second kind based on the fuzzy wavelet like operator. Then, we discuss and investigate the convergence and error analysis of the proposed method. Finally, to show the accuracy of the proposed method, we present two numerical examples.
http://ijim.srbiau.ac.ir/article_8590_239ce0404951da0fa8c95afab38146c2.pdf
Fuzzy linear system
Two-dimensional fuzzy Fredholm integral equation
Fuzzy wavelet like operator.