eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2011-09-23
1
4 (FALL)
217
226
521714
THE SCALING LAW FOR THE DISCRETE KINETIC GROWTH PERCOLATION MODEL
K. Yamamoto
1
Y. Yamada
2
S. Miyazima
3
Setsunan University 17-8 Ikeda-Nakamachi, Neyagawa Osaka 572-8508 Japan Faculty of Engineering
Chubu University 1200 Matsumoto, Kasugai Aichi 487-8501 Japan Department of Natural Science
Chubu University 1200 Matsumoto, Kasugai Aichi 487-8501 Japan Department of Natural Science
The Scaling Law for the Discrete Kinetic Growth Percolation Model The critical exponent of the total number of finite clusters α is calculated directly without using scaling hypothesis both below and above the percolation threshold p<sub>c</sub> based on a kinetic growth percolation model in two and three dimensions. Simultaneously, we can calculate other critical exponents β and γ, and show that the scaling law α + 2β +γ = 2 has been held in the simulation result above the percolation threshold p<sub>c</sub>.
http://ijm2c.iauctb.ac.ir/article_521714_b07ec0a5935458a8d7a04a4663540480.pdf
Percolation problem
Scaling law
Kinetic growth model
Leath algorithm
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2011-09-23
1
4 (FALL)
227
234
521715
A NOTE ON THE UNSTEADY FLOW OF A VISCO-ELASTIC MAXWELL FLUID THROUGH A RECTILINEAR PIPE
R. Dube
1
Faculty of Science, Jazan University, Jazan, KSA Department of Mathematics
The unsteady flow of a visco-elastic Maxwell fluid through a rectilinear pipe having its cross-section as a parallelogram under the influence of a axial pressure gradient (I) varying linearly with time , and (II) decreasing exponentially with time has been discussed in the present paper. Variables separable and Laplace transform methods have been used to solve the problem. <br />
http://ijm2c.iauctb.ac.ir/article_521715_383d87a87d9ab4adab94b23f8f7c0766.pdf
Rectilinear pipe
visco-elastic Maxwell fluid
variable separable method
Laplace Transform method
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2011-09-23
1
4 (FALL)
235
244
521717
INTRODUCTION AND DEVELOPMENT OF SURROGATE MANAGEMENT FRAMEWORK FOR SOLVING OPTIMIZATION PROBLEMS
B. Azarkhalili
1
M. Rasouli
2
P. Moghadas
3
B. Mehri
4
Sharif University of Technology, Azadi Ave, Tehran Iran, Islamic Republic of Mathematics Department
Sharif University of Technology, Azadi Ave, Tehran Iran, Islamic Republic of Electrical Engineering Department
Sharif University of Technology, Azadi Ave, Tehran Iran, Islamic Republic of Aerospace Engineering Department
Sharif University of Technology, Azadi Ave, Tehran Iran, Islamic Republic of Mathematics Department
In this paper, we have outlined the surrogate management framework for optimization of expensive functions. An initial simple iterative method which we call the “Strawman” method illustrates how surrogates can be incorporated into optimization to stand in for the most expensive function. These ideas are made rigorous by incorporating them into the framework of pattern search methods. The SMF algorithm is presented, including mesh definition, and choice of polling points. In summarizing the ideas of surrogate-based optimization, we enrich this paper with an admittedly simplistic analogy which helps to compare optimization strategies. <br />
http://ijm2c.iauctb.ac.ir/article_521717_36868edaf8dc796a8a594bc75945deb9.pdf
Optimization
Surrogate Method
Pattern Search
Polling
Searching Methods
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2011-09-23
1
4 (FALL)
245
250
521719
A NEW PROTOCOL MODEL FOR VERIFICATION OF PAYMENT ORDER INFORMATION INTEGRITY IN ONLINE E-PAYMENT SYSTEM USING ELLIPTIC CURVE DIFFIE-HELLMAN KEY AGREEMENT PROTOCOL
A. Zaghian
1
M. J. Hashemi
2
Maleke Ashtar University, Isfahan Iran, Islamic Republic of Faculty of Applied Sciences
Maleke Ashtar University, Isfahan Iran, Islamic Republic of Faculty of Applied Sciences
Two parties that conduct a business transaction through the internet do not see each other personally nor do they exchange any document neither any money hand-to-hand currency. Electronic payment is a way by which the two parties transfer the money through the internet. Therefore integrity of payment and order information of online purchase is an important concern. With online purchase the customer and merchant cannot be assumed to be completely honest or they can act to change either payment information or the order information. Pateria, Singh and Raghuwanshi proposed a new protocol model based on tree entities customer, merchant and the payment authority that can verify each other. Unfortunately, this protocol is not secure. In this paper, a new protocol is proposed based on elliptic curve Difﬁe-Hellman key agreement protocol which is secure. The security of our protocol depends on ECDLP and since the ECC is a suitable public key cryptosystem, this protocol can be replaced with another protocol.
http://ijm2c.iauctb.ac.ir/article_521719_fbca37c4e203256dc57330cda1027e65.pdf
Elliptic Curve
Difﬁe-Hellman Key exchange protocol
E-Payment
Payment Information
Order Information
Security
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2011-09-23
1
4 (FALL)
251
256
521720
OPTIMAL RESOURCE ALLOCATION IN DEA WITH INTEGER VARIABLES
A. Masoumzadeh
1
N. Moradmand Rad
2
Islamic Azad University of Central Tehran, Tehran Iran, Islamic Republic of Department of Applied Mathematics
Islamic Azad University of Lahidjan, Lahidjan Iran, Islamic Republic of Department of Applied Mathematics
Resource allocation and optimal leveling are among the top challenges in project management. This paper presents a DEA-based procedure for determining an optimal level of inputs to produce a fixed level of outputs. To achieve this goal, we assume that the levels of outputs can be forecasted in the next season and the procedure will determine optimal level of inputs for all DMUs. Such as some of them can only take integer values. So, after this design for the value of inputs and outputs all DMUs are placed on the optimal level. An illustrative example is used to show the applicability of the proposed method.
http://ijm2c.iauctb.ac.ir/article_521720_185feeae06945fc642533594ace0244b.pdf
Data envelopment analysis
Efficiency
Input
Output
Integer variable
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2011-09-23
1
4 (FALL)
257
261
521722
A NON-RADIAL ROUGH DEA MODEL
Gh. Tohidi
1
P. Valizadeh
2
Islamic Azad University, Central Tehran Branch Iran, Islamic Republic of Department of Mathematics
Islamic Azad University, Central Tehran Branch Iran, Islamic Republic of Department of Mathematics
There are situations that Decision Making Units (DMU’s) have uncertain information and their inputs and outputs cannot alter redially. To this end, this paper combines the rough set theorem (RST) and Data Envelopment Analysis (DEA) and proposes a non-redial Rough-DEA (RDEA) model so called additive rough-DEA model and illustrates the proposed model by a numerical example.
http://ijm2c.iauctb.ac.ir/article_521722_a006e48c23f41c18e06063d57e5b6fbb.pdf
Rough data envelopment analysis (RDEA)
Data Envelopment Analysis (DEA)
uncertainty
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2011-09-23
1
4 (FALL)
263
269
521725
UNDERSTANDING BEHAVIOR OF ANTINEOPLASTIC MOLECULES BASED ON MLR MODELS
S. Hajiali
1
M. S. Doroudian
2
H. Borna
3
Tehran Medical Branch, Islamic Azad University, Tehran Iran, Islamic Republic of Department of Genetics
Central Tehran Branch, Islamic Azad University, Tehran Iran, Islamic Republic of Young Researchers Club
Medical University Branch, Islamic Azad University, Tehran Iran, Islamic Republic of Young Researchers Club
New statistic based models provide a wide area of prediction equipments for different science areas. Among these fields biology have just entered the contest of interdisciplinary sciences. Drug discovery is a long and expensive process which could be decreased with theoretical approaches. In this study, 500 reported assayed anti cancer molecules were extracted from Science Direct articles, sketched, optimized with AM1 basis set with Gaussian, and analyzed for their bioactivities with PASS. Molecular and physicochemical descriptors such as MW, H Donor/Acceptor, LogP, Parachor, and etc of 15 screened compounds were calculated with Dragon and applied for Stepwise Multi Linear Regression process within SPSS. Calculations present that H Donor, H Acceptor, Polarizability, and Refractivity descriptors are the most impacting factors on emergence of antineoplastic activity with higher than 91% accuracy. A valid model is achieved which will be utilized for future molecule discovery and prediction.
http://ijm2c.iauctb.ac.ir/article_521725_29d6270f11defcd111e922fbbc80a0f2.pdf
Antineoplastic
Multi Linear Regression
model
PASS
Gaussian
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2011-09-23
1
4 (FALL)
271
276
521727
MULTIPLE PERIODIC SOLUTIONS FOR A CLASS OF NON-AUTONOMOUS AND CONVEX HAMILTONIAN SYSTEMS
S. Sohrabi Hesan
1
Y. Gholizade Atani
2
University Of Tabriz,Tabriz Iran, Islamic Republic of Faculty of Mathematical Science
University Of Tabriz,Tabriz Iran, Islamic Republic of Faculty of Mathematical Science
In this paper we study Multiple periodic solutions for a class of non-autonomous and convex Hamiltonian systems and we investigate use some properties of Ekeland index.
http://ijm2c.iauctb.ac.ir/article_521727_b6179f7909690fd2f4c46ebe737203e7.pdf