Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
1
4 (FALL)
2011
09
23
THE SCALING LAW FOR THE DISCRETE KINETIC GROWTH PERCOLATION MODEL
217
226
EN
K.
Yamamoto
Setsunan University 17-8 Ikeda-Nakamachi, Neyagawa Osaka 572-8508
Japan
Faculty of Engineering
Y.
Yamada
Chubu University 1200 Matsumoto, Kasugai Aichi 487-8501
Japan
Department of Natural Science
S.
Miyazima
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 pc 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 pc.
Percolation problem,Scaling law,Kinetic growth model,Leath algorithm
http://ijm2c.iauctb.ac.ir/article_521714.html
http://ijm2c.iauctb.ac.ir/article_521714_b07ec0a5935458a8d7a04a4663540480.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
1
4 (FALL)
2011
09
23
A NOTE ON THE UNSTEADY FLOW OF A VISCO-ELASTIC MAXWELL FLUID THROUGH A RECTILINEAR PIPE
227
234
EN
R.
Dude
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.
Rectilinear pipe,visco-elastic Maxwell fluid,variable separable method,Laplace Transform method
http://ijm2c.iauctb.ac.ir/article_521715.html
http://ijm2c.iauctb.ac.ir/article_521715_383d87a87d9ab4adab94b23f8f7c0766.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
1
4 (FALL)
2011
09
23
INTRODUCTION AND DEVELOPMENT OF SURROGATE MANAGEMENT FRAMEWORK FOR SOLVING OPTIMIZATION PROBLEMS
235
244
EN
B.
Azarkhalili
Sharif University of Technology, Azadi Ave, Tehran
Iran, Islamic Republic of
Mathematics Department
M.
Rasouli
Sharif University of Technology, Azadi Ave, Tehran
Iran, Islamic Republic of
Electrical Engineering Department
P.
Moghadas
Sharif University of Technology, Azadi Ave, Tehran
Iran, Islamic Republic of
Aerospace Engineering Department
B.
Mehri
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.
Optimization,Surrogate Method,Pattern Search,Polling,Searching Methods
http://ijm2c.iauctb.ac.ir/article_521717.html
http://ijm2c.iauctb.ac.ir/article_521717_36868edaf8dc796a8a594bc75945deb9.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
1
4 (FALL)
2011
09
23
A NEW PROTOCOL MODEL FOR VERIFICATION OF PAYMENT ORDER INFORMATION INTEGRITY IN ONLINE E-PAYMENT SYSTEM USING ELLIPTIC CURVE DIFFIE-HELLMAN KEY AGREEMENT PROTOCOL
245
250
EN
A.
Zaghian
Maleke Ashtar University, Isfahan
Iran, Islamic Republic of
Faculty of Applied Sciences
M. J.
Hashemi
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.
Elliptic Curve,Difﬁe-Hellman Key exchange protocol,E-Payment,Payment Information,Order Information,Security
http://ijm2c.iauctb.ac.ir/article_521719.html
http://ijm2c.iauctb.ac.ir/article_521719_fbca37c4e203256dc57330cda1027e65.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
1
4 (FALL)
2011
09
23
OPTIMAL RESOURCE ALLOCATION IN DEA WITH INTEGER VARIABLES
251
256
EN
A.
Masoumzadeh
Islamic Azad University of Central Tehran, Tehran
Iran, Islamic Republic of
Department of Applied Mathematics
N.
Moradmand Rad
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.
Data Envelopment Analysis,Efficiency,Input,output,Integer variable
http://ijm2c.iauctb.ac.ir/article_521720.html
http://ijm2c.iauctb.ac.ir/article_521720_185feeae06945fc642533594ace0244b.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
1
4 (FALL)
2011
09
23
A NON-RADIAL ROUGH DEA MODEL
257
261
EN
Gh.
Tohidi
Islamic Azad University, Central Tehran Branch
Iran, Islamic Republic of
Department of Mathematics
P.
Valizadeh
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.
Rough data envelopment analysis (RDEA),Data envelopment analysis (DEA),uncertainty
http://ijm2c.iauctb.ac.ir/article_521722.html
http://ijm2c.iauctb.ac.ir/article_521722_a006e48c23f41c18e06063d57e5b6fbb.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
1
4 (FALL)
2011
09
23
UNDERSTANDING BEHAVIOR OF ANTINEOPLASTIC MOLECULES BASED ON MLR MODELS
263
269
EN
S.
Hajiali
Tehran Medical Branch, Islamic Azad University, Tehran
Iran, Islamic Republic of
Department of Genetics
M. S.
Doroudian
Central Tehran Branch, Islamic Azad University, Tehran
Iran, Islamic Republic of
Young Researchers Club
H.
Borna
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.
Antineoplastic,Multi Linear Regression,Model,PASS,Gaussian
http://ijm2c.iauctb.ac.ir/article_521725.html
http://ijm2c.iauctb.ac.ir/article_521725_29d6270f11defcd111e922fbbc80a0f2.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
1
4 (FALL)
2011
09
23
MULTIPLE PERIODIC SOLUTIONS FOR A CLASS OF NON-AUTONOMOUS AND CONVEX HAMILTONIAN SYSTEMS
271
276
EN
S.
Sohrabi Hesan
University Of Tabriz,Tabriz
Iran, Islamic Republic of
Faculty of Mathematical Science
Y.
Gholizade Atani
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.html
http://ijm2c.iauctb.ac.ir/article_521727_b6179f7909690fd2f4c46ebe737203e7.pdf