The effects of MHD flow of third grade fluid by means of meshless local radial point interpolation (MLRPI)
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2015
01
7
1
No
2015-01-01
S. Abbasbandy,E. Shivanain
Department of Mathematics, Imam Khomeini International University, Ghazvin, 34149-16818, Iran.,Department of Mathematics, Imam Khomeini International University, Ghazvin, 34149-16818, Iran.
1
Porous medium,Magnetohydrodynamic,Non-Newtonian fluid,Local weak formulation,Meshless local radial point interpolation
The meshless local radial point interpolation (MLRPI) method is applied to examine the magnetohydrodynamic (MHD) ow of third grade uid in a porous medium. The uid saturates the porous space between the two boundaries. Several limiting cases of fundamental ows can be obtained as the special cases of present analysis. The variations of pertinent parameters are addressed.
http://ijim.srbiau.ac.ir/article_6070_1182.html
http://ijim.srbiau.ac.ir/pdf_6070_59c2c94ebb2b1d02f330ca1ae95ef07e.html
Electromagnetism-like algorithm for fuzzy flow shop batch processing machines scheduling to minimize total weighted earliness and tardiness
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2015
01
7
1
No
2015-01-01
S. Molla-Alizadeh-Zavardehi,R. Tavakkoli-Moghaddam,F. Hosseinzadeh Lotfi
Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran.,School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran.,Department of Mathematics, Science Research Branch, Islamic Azad University, Tehran, Iran.
11
Flow shop batch processing machines,Fuzzy due date,Hybrid electromagnetism-like algorithm,Fuzzy earliness/tardiness
In this paper, we study a flow shop batch processing machines scheduling problem. The fuzzy due dates are considered to make the problem more close to the reality. The objective function is taken as the weighted sum of fuzzy earliness and fuzzy tardiness. In order to tackle the given problem, we propose a hybrid electromagnetism-like (EM) algorithm, in which the EM is hybridized with a diversification mechanism and effective local search to enhance the efficiency of the algorithm. The proposed algorithms are evaluated by comparison against two existing well-known EMs in the literature. Additionally, we propose some heuristics based on the earliest due date (EDD) to solve the given problem. The proposed hybrid EM algorithm is tested on sets of various randomly generated instances. For this purpose, we investigate the impacts of the rise in problem sizes on the performance of the developed algorithm. Through the analysis of the experimental results, the highly effective performance of the proposed algorithm is shown against the two existing well-known EMs from the literature and proposed EDDs.
http://ijim.srbiau.ac.ir/article_6137_1182.html
http://ijim.srbiau.ac.ir/pdf_6137_e42a2fd632effcdde84b59a71aeb797f.html
A new method to determine a well-dispersed subsets of non-dominated vectors for MOMILP problem
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2015
01
7
1
No
2015-01-01
G. Tohidi,SH. Razavian
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran.,Department of Mathematics, Islamic Azad University, South Tehran Branch, Tehran, Iran.
25
Well-dispersed non-dominated vectors,DEA, L$_1-$norm,MOMILP,Non-dominated vectors
Multi-objective optimization is the simultaneous consideration of two or more objective functions that are completely or partially inconflict with each other. The optimality of such optimizations is largely defined through the Pareto optimality. Multiple objective integer linear programs (MOILP) are special cases of multiple criteria decision making problems. Numerous algorithms have been designed to solve MOILP and multiple objective mixed integer linear programs. However, MOILP have not received the algorithmic attention that continuous problems have. This paper uses the data envelopment analysis (DEA) technique to find a well-dispersed non-dominated vectors of multiple objective mixed integer linear programming (MOMILP) problem with bounded or unbounded feasible region, while the previous methods consider only problems with bounded feasible region. To this end, it uses the L$_1-$norm and the modified slack-based measure (MSBM) model. The proposed method does not need the filtering procedures and it ranks the elements of well-dispersed non-dominated vectors of MOMILP problem. The proposed algorithm is illustrated by using two numerical examples.
http://ijim.srbiau.ac.ir/article_6138_1182.html
http://ijim.srbiau.ac.ir/pdf_6138_a7adfbf7ac6633f9fe537872d39d8dbf.html
On the convergence speed of artificial neural networks in the solving of linear systems
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2015
01
7
1
No
2015-01-01
A. Jafarian
Department of Mathematics, Urmia Branch, Islamic Azad University, Urmia, Iran.
35
System of linear equations,Quasi-Newton method,Steepest descent method,Cost Function,Learning algorithm
Artificial neural networks have the advantages such as learning, adaptation, fault-tolerance, parallelism and generalization. This paper is a scrutiny on the application of diverse learning methods in speed of convergence in neural networks. For this aim, first we introduce a perceptron method based on artificial neural networks which has been applied for solving a non-singular system of linear equations. Next two famous learning techniques namely, the steepest descent and quasi-Newton methods are employed to adjust connection weights of the neural net. The main aim of this study is to compare ability and efficacy of the techniques in speed of convergence of the present neural net. Finally, we illustrate our results on some numerical examples with computer simulations.
http://ijim.srbiau.ac.ir/article_6139_1182.html
http://ijim.srbiau.ac.ir/pdf_6139_1c7d425873859bae39b5f7e8498ec0ee.html
On computing the general Narumi-Katayama index of some graphs
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2015
01
7
1
No
2015-01-01
S. Z. Aghamohammadi
Department of Mathematics, Eslamshahr Branch, Islamic Azad University, Tehran, Iran.
45
Narumi-Katayama index, Molecular graph,Clique number,Independent number,Dendrimers.
The Narumi-Katayama index was the first topological index defined by the product of some graph theoretical quantities. Let $G$ be a simple graph with vertex set $V = {v_1,ldots, v_n }$ and $d(v)$ be the degree of vertex $v$ in the graph $G$. The Narumi-Katayama index is defined as $NK(G) = prod_{vin V}d(v)$. In this paper, the Narumi-Katayama index is generalized using a $n$-vector $x$ and it is denoted by $GNK(G, x)$ for a graph $G$. Then, we obtain some bounds for $GNK$ index of a graph $G$ by terms of clique number and independent number of $G$. Also we compute the $GNK$ index of splice and link of two graphs. Finally, we use from our results to compute the $GNK$ index of a class of dendrimers.
http://ijim.srbiau.ac.ir/article_6140_1182.html
http://ijim.srbiau.ac.ir/pdf_6140_7b74063b060bfd8e501e371c26765fc6.html
Duality of $g$-Bessel sequences and some results about RIP $g$-frames
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2015
01
7
1
No
2015-01-01
M. S. Asgari,G. Kavian
Department of Mathematics, Faculty of Science, Islamic Azad University, Central Tehran Branch, Tehran, Iran.,Department of Mathematics, Faculty of Science, Islamic Azad University, Roudehen Branch, Roudehen, Iran.
51
$G$-frames,Fusion frames,Dual frames,Pseudo-dual frames,Approximate dual frames,Bessel sequences
In this paper, first we develop the duality concept for $g$-Bessel sequences and Bessel fusion sequences in Hilbert spaces. We obtain some results about dual, pseudo-dual and approximate dual of frames and fusion frames. We also expand every $g$-Bessel sequence to a frame by summing some elements. We define the restricted isometry property for $g$-frames and generalize some results from (B. G. Bodmann et al, Fusion frames and the restricted isometry property, Num. Func. Anal. Optim. 33 (2012) 770-790) to $g$-frame situation. Finally we study the stability of $g$-frames under erasure of operators.
http://ijim.srbiau.ac.ir/article_6141_1182.html
http://ijim.srbiau.ac.ir/pdf_6141_9f4e9bf1ee059848daec606a4e7d5df9.html
Numerical solution of nonlinear fractional Volterra-Fredholm integro-differential equations with mixed boundary conditions
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2015
01
7
1
No
2015-01-01
D. Nazari Susahab,M. Jahanshahi
Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.,Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.
63
Fractional integro-differential equations,Boundary mixed Conditions,Nystr\"{o}m method,Newton-Kantorovitch method.
The aim of this paper is solving nonlinear Volterra-Fredholm fractional integro-differential equations with mixed boundary conditions. The basic idea is to convert fractional integro-differential equation to a type of second kind Fredholm integral equation. Then the obtained Fredholm integral equation will be solved with Nystr"{o}m and Newton-Kantorovitch method. Numerical tests for demonstrating the accuracy of the method is included.
http://ijim.srbiau.ac.ir/article_6200_1182.html
http://ijim.srbiau.ac.ir/pdf_6200_2ac6dba5b7435d8beb3f02224eb56bac.html
Project selection with limited resources in data envelopment analysis
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2015
01
7
1
No
2015-01-01
M. Jahantighi,Z. Moghaddas,M. Vaez-ghasemi
Department of Mathematics, Islamic Azad University, Zahedan Branch, Zahedan, Iran.,Department of Electrical, Computer and Biomedical Engineering, Islamic Azad University, Qazvin Branch, Qazvin, Iran.,Department of Mathematics, Islamic Azad University, Rasht Branch, Rasht, Iran.
71
Data envelopment analysis,Efficiency,Error analysis
In this paper allocating a fixed resource for producing finite projects in order to obtaining a desired level of efficiency will be discussed. Note that it is assumed that a vector of limited sources is at hand. This vector of resources can be contained human resource, budget, equipment, and facilities. In any firm there exist different suggestions from subunits for running a new projects in line with the organization's objectives. Implementation of all the suggested projects need high level of resources. In accordance to this fact that resources are limited thus it is not possible to run all of the projects. Thus, selecting high quality projects or those with high efficiency is more desirable for implementation. In this paper a method for selecting projects will be proposed which has high performance.
http://ijim.srbiau.ac.ir/article_6201_1182.html
http://ijim.srbiau.ac.ir/pdf_6201_f23737d07d74e45d16beb1392c6e7774.html
Stagnation-point flow of a viscous fluid towards a stretching surface with variable thickness and thermal radiation
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2015
01
7
1
No
2015-01-01
B. C. Prasanna Kumara,G. K. Ramesh,A. J. Chamkha,B. J. Gireesha
Department of Mathematics, Government First Grade College, Koppa, Karnataka, India.,Department of Studies in Mathematics, Kuvempu University, Shimoga, Karnataka, India.,Mechanical Engineering Department, Prince Mohammad Bin Fahd University (PMU) P.O. Box 1664, Al-Khobar 31952, Kingdom of Saudi Arabia.,Department of Studies in Mathematics, Kuvempu University, Shimoga, Karnataka, India.
77
Stagnation-point flow,Variable thickness,Stretching sheet,Thermal radiation,Numerical solution
In the present analysis, we study the boundary layer flow of an incompressible viscous fluid near the two-dimensional stagnation-point flow over a stretching surface. The effects of variable thickness and radiation are also taken into account and assumed that the sheet is non-flat. Using suitable transformations, the governing partial differential equations are first converted to ordinary one and then solved numerically by fourth and fifth order Runge-Kutta-Fehlberg method with shooting technique. The influence of the various interesting parameters on the flow and heat transfer is analyzed and discussed through graphs in detail. Comparison of the present results with known numerical results is shown and a good agreement is observed. It is found that boundary layer is formed when $lambda > 1 $. On the other hand, an inverted boundary layer is formed when $lambda < 1 $.
http://ijim.srbiau.ac.ir/article_6202_1182.html
http://ijim.srbiau.ac.ir/pdf_6202_b59f045d16d67b00769e36e8ab3b1ba8.html
Application of CAS wavelet to construct quadrature rules for numerical integration
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2015
01
7
1
No
2015-01-01
S. Rezabeyk,KH. Maleknejad
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.,Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
87
CAS Wavelets,Quadrature rules,Hybrid functions,Double and triple integrals.
In this paper, based on CAS wavelets we present quadrature rules for numerical solution of double and triple integrals with variable limits of integration. To construct new method, first, we approximate the unknown function by CAS wavelets. Then by using suitable collocation points, we obtain the CAS wavelet coefficients that these coefficients are applied in approximating the unknown function. The major advantage of new approach is that this method can approximate the value of some improper integrals. To illustrate the efficiency and the accuracy of the method, some numerical examples are given.
http://ijim.srbiau.ac.ir/article_6231_1182.html
http://ijim.srbiau.ac.ir/pdf_6231_e61f66491de5979109fc2ce3294a82fc.html
Production and investigation about nano structures of heterogeneous ZnS/glass thin layer
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2015
01
7
1
No
2015-01-01
H. Kangarlou
Department of Mathematics, Urmia Branch, Islamic Azad University, Urmia, Iran.
93
AFM,XRD,nanostructure
ZnS/glass Thinlayer in high vacuum condition and $40$ degree Deposition angle has been produced by resistance evaporated method with $28$ nm thickness. cabin deposition temperature ZnS layer was about $50C$ and substrates were kept at room temperature. The Atomic Force Microscopy (AFM) and XRD analyses are perfectly accomplished for this layer.
http://ijim.srbiau.ac.ir/article_6235_1182.html
http://ijim.srbiau.ac.ir/pdf_6235_7996b65c7410e5c4a866d6f17033f493.html
Incompressible smoothed particle hydrodynamics simulations on free surface flows
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2015
01
7
1
No
2015-01-01
A. Mahmoud Aly
Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt.
99
Circular cylinder,ISPH,Free surface flow,Scott Russell,Torpedo,Wave paddle
The water wave generation by wave paddle and a freely falling rigid body are examined by using an Incompressible Smoothed Particle Hydrodynamics (ISPH). In the current ISPH method, the pressure was evaluated by solving pressure Poisson equation using a semi-implicit algorithm based on the projection scheme and the source term of pressure Poisson equation contains both of divergence free velocity field and density invariance condition. Here, the fluid-structure interaction is introduced in free surface flows and the structure is taken as a rigid body motion. In this study, we generated the water waves using the Scott Russell wave generator, in which the heavy box sinking vertically into water. Also, the solitary wave is generated by using the wave paddle and the generated solitary wave profiles are compared with the available results with a good agreement. Free falling of torpedo over the water in tank was simulated by using 3D-ISPH method.
http://ijim.srbiau.ac.ir/article_6236_1182.html
http://ijim.srbiau.ac.ir/pdf_6236_3342143d59320fcc2750b68b9f93f1b1.html
On The Ranking Fuzzy Numbers Using Signal/Noise Ratios
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2015
01
7
1
No
2015-01-01
R. Saneifard
Department of Mathematics, Urmia Branch, Islamic Azad University, Urmia, Iran.
107
The importance as well as the diculty of the problem of ranking fuzzy numbers is pointed out. Here we consider approaches to the ranking of fuzzy numbers based upon the idea of associating with a fuzzy number a scalar value, its signal/noise ratios, where the signal and the noise are dened as the middle-point and the spread of each a-cut of a fuzzy number, respectively. We use the value of a as the weight of the signal/noise ratio of each a-cut of a fuzzy number to calculate the ranking index of each fuzzy number. The proposed method can rank any kinds of fuzzy numbers with dierent kinds of membership functions.
http://ijim.srbiau.ac.ir/article_6481_1182.html
http://ijim.srbiau.ac.ir/pdf_6481_62504619cf3887f2ac49539e676ebe50.html