2019
10
0
0
0
1

A new semiactive magnetorheological engine mounts for improving vehicle ride comfort using sliding mode controller
https://ijnaa.semnan.ac.ir/article_4392.html
10.22075/ijnaa.2019.4392
1
Abstract Inthispaper,anewsemiactivemagnetorheological(MR)enginemountinhalfcarmodelisproposed for improving ride comfort. Such a model uses a dynamic sliding mode controller. It operates as a controller system for controlling the magnetic field strength of the engine mount coil. Controlling the magnetic field strength leads to change the magnetorheological liquid properties and thereby the generated force by the liquid. This controller system is simulated and the obtained numerical results are analyzed. It is shown that such a controller has the own great role in improving vehicle ride comfort in such a way that it can remove 60% of the engine’s vibration amplitude in the worst case as well as the its vibration frequency is tended toward zero. Finally, 25% of the total vibration transmittedfromsuspensionsystemtovehiclebodyisreduced. Itisfoundthatusingthiscontroller, the undesirable vibrations imposed on the passengers can be diminished despite uncertainty of the load in the model.
0

1
11


J.
Marzbanrad
Faculty at School of Automotive Engineering, Iran University of Science and Technology, Tehran, Iran
Iran
marzban@iust.ac.ir


S. S.
Hosseini
PhD Student at School of Automotive Engineering, Iran University of Science and Technology, Tehran, Iran
Iran
Magnetorheological engine mount
Dynamic sliding mode
half car model
1

Existence of nontrivial solutions for fractional SchrödingerPoisson systems with subcritical growth
https://ijnaa.semnan.ac.ir/article_4393.html
10.22075/ijnaa.2019.4393
1
In this paper, we are concerned with the following fractional SchrödingerPoisson system: (−∆s)u + u + λφu = µf(u) +up−2u, x ∈R3 (−∆t)φ = u2, x ∈R3 where λ,µ are two parameters, s,t ∈ (0,1] ,2t + 4s > 3 ,1 < p ≤ 2∗ s and f : R → R is continuous function. Using some critical point theorems and truncation technique, we obtain the existence and multiplicity of nontrivial solutions with the help of the variational methods.
0

13
23


A.
Keyhanfar
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
Iran
ar.keyhanfar@gmail.com


S.H.
Rasouli
Department of Mathematics, Faculty of Basisc Sciences, Babol(Noshirvani) University of Technology Babol, Iran
Iran
s.h.rasouli@nit.ac.ir


G.A.
Afrouzi
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
Iran
Fractional SchrödingerPoisson systems
Sublinear nonlinearity
Variational methods
1

Solving The Optimal Control Problems Using Homotopy Perturbation Transform Method
https://ijnaa.semnan.ac.ir/article_4394.html
10.22075/ijnaa.2019.4394
1
Inthispaper,wesolveHamiltonJocobiBellman(HJB)equationsarisinginoptimalcontrolproblems usingHomotopyPerturbationTransformMethod(HPTM).Theproposedmethodisacombinedform oftheLaplaceTransformationMethodwiththeHomotopyPerturbationMethodtoproduceahighly effectivemethodtohandlemanyproblems. ApplyingtheHPTM,solutionprocedurebecomeseasier, simplerandmorestraightforward. Someillustrativeexamplesaregiventodemonstratethesimplicity and eﬀiciency of the proposed method.
0

25
38


M.
Alipour
Department of Mathematics,Payame Noor University, P.O.Box 193953697, Tehran, Iran
Iran
mf.alipour@yahoo.com


F.
Soltanian
Department of Mathematics,Payame Noor University, P.O.Box 193953697, Tehran, Iran
Iran


J.
Vahidi
Department of Mathematics, Iran University of science and Technology, Tehran,Iran.
Department of Mathematical Sciences,University of South Africa, UNISA 0003, South Africa
Iran
jvahidi@iust.ac.ir


S.
Ghasempour
Department of Mathematics,Payame Noor University, P.O.Box 193953697, Tehran, Iran
Iran
Homotopy Perturbation Transform Method (HPTM)
Homotopy Perturbation Method (HPM)
Laplace transformation
Optimal control problems(OCP)
HamiltonJocobiBellman(HJB)
1

Prediction of Renewable Energy Production Using Grey Systems Theory
https://ijnaa.semnan.ac.ir/article_4395.html
10.22075/ijnaa.2019.4395
1
Due to the reduction of renewable energy resources such as fossil fuels, the energy crisis is one of the most critical issues in today’s world. The application of these resources brings about many environmentalpollutionsthatleadtoglobalwarming. Therefore,variouscountrieshaveattemptedto reducepotentialdamageanduserenewableenergiesbytheintroductionandpromotionofrenewable energies as an essential strategy to reduce CO2 emissions and to find alternatives to fossil energy in the transportation and electricity generation sectors. This study attempts to predict the production process of renewable energies in Iran by 2025 and study the characteristics of this energy and its usage in the world and Iran. Since there are very few data in this field, four grey prediction models are used including GM(1,1), DGM(2,1), Grey Verhulst and FGM(1,1) models. According to the threeindicesoftheerrorvaluesofMSE,RMSE,andMAPE,allthepredictionsdonebythemethods aboveareamongthebestpredictionmethods. Byexaminingtheresultsachieved,FGM(1,1)method was the best model concerning its less error than other models and has estimated 16740.45 MW for renewable energy production in 2025.
0

39
51


D.
Darvishi Salookolaei
Department of Mathematics, Payame Noor University, Tehran, Iran
Iran
d_darvishi@pnu.ac.ir


P.
Babaei
Department of Mathematics, Payame Noor University, Tehran, Iran
Iran


S.
Heydari gorji
Department of Management, Payame Noor University, Tehran, Iran
Iran
Prediction
Grey system
Absolute prediction error
Renewable Energy
GM(1
1)
1

Scheduling PostDistribution CrossDock under Demand Uncertainty
https://ijnaa.semnan.ac.ir/article_4396.html
10.22075/ijnaa.2019.4396
1
The system of distribution of goods and services, along with other economic developments around the world, is rapidly evolving. In the world of distribution of goods, the main focus is on making distribution operations more effective. Due to the fact that the crossdock has the advantage of removing intermediaries and reducing the space required for the warehouse, it is worth considering. Among the methods of crossdocking, the postdistribution method is important in terms of uncertainty. Due to the importance of the issue of the postdistribution method in crossdock, this paper addressestheuncertaintyofdemandincrossdocking. Forthispurpose, alinearprogrammingmodel has been developed for postdistribution crossdock, and then solved an example by the use of the metaheuristicwhalealgorithm. Afterthat, uncertaintyentersthemodelandtherobustcounterpart of the model present based on the robust optimization approach with using interval and polyhedral collective inductive uncertainty set. The results shows the model could control the demand uncertainty in distance zero until 20 percent and the model does not let the changing of demand efforts considerably on the scheduling of the crossdocking.
0

53
65


M. M.
Nasiri
School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran
Iran
mmnasiri@ut.ac.ir


M.
Aliakbarnia Omran
Department of Industrial Engineering, Kish International Camp, University of Tehran, Tehran, Iran
Iran


F.
Jolai
School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran
Iran
scheduling
postdistribution crossdocking
demand uncertainty
robust optimization approach
collective inductive uncertainty set
1

A Numerical Approach for Fractional Optimal Control Problems by Using Ritz Approximation
https://ijnaa.semnan.ac.ir/article_4397.html
10.22075/ijnaa.2019.4397
1
In this article, Ritz approximation have been employed to obtain the numerical solutions of a class of the fractional optimal control problems based on the Caputo fractional derivative. Using polynomial basis functions, we obtain a system of nonlinear algebraic equations. This nonlinear system of equation is solved and the coefficients of basis polynomial are derived. The convergence of the numerical solution is investigated. Some numerical examples are presented which illustrate the theoretical results and the performance of the method.
0

67
73


A.
Ramezanpour
Department of Mathematics, Payame Noor University, Tehran, Iran
Iran
ramezanpour_abazar@yahoo.com


P.
Reihani
Department of Mathematics, Payame Noor University, Tehran, Iran
Iran


J.
Vahidi
Department of Mathematics, Iran University of science and Technology, Tehran,Iran.
Department of Mathematical Sciences, University of South Africa, UNISA0003,South Africa
Iran
jvahidi@iust.ac.ir


F.
Soltanian
Department of Mathematics, Payame Noor University, Tehran, Iran
Iran
Fractional Optimal Control Problems
Caputo fractional derivative
Optimal Control Problems
Polynomial basis functions
1

Scalar Product Graphs of Modules
https://ijnaa.semnan.ac.ir/article_4398.html
10.22075/ijnaa.2019.4398
1
Let R be a commutative ring with identity and M an Rmodule. The ScalarProduct Graph of M is defined as the graph GR(M) with the vertex set M and two distinct vertices x and y are adjacent if and only if there exist r or s belong to R such that x = ry or y = sx. In this paper , we discuss connectivity and planarity of these graphs and computing diameter and girth of GR(M). Also we show some of these graphs is weakly perfect.
0

75
82


M.
Nouri Jouybari
Department of Mathematics, University of Mazandaran, Babolsar, Iran
Iran


Y.
Talebi
Department of Mathematics, University of Mazandaran, Babolsar, Iran
Iran


S.
Firouzian
Department of Mathematics, Payame Noor University (PNU), Tehran, Iran
Iran
Scalar Product
Graph
Module
1

A New Approach for Finding an Optimal Solution for Grey Transportation Problem
https://ijnaa.semnan.ac.ir/article_4399.html
10.22075/ijnaa.2019.4399
1
In ordinary transportation problems, it is always supposed that the mileage from every source to every destination is a definite number. But in special conditions, such as transporting emergency materials when natural calamity occurs or transporting military supplies during wartime, carrying network may be destroyed, mileage from some sources to some destinations are no longer definite. It is uncertain, a grey number. In these conditions, transportation capacity is often poor; the problems of optimization become even more important. In this paper, we proposed a new method to find an optimalsolutionforgreytransportationproblemswheretransportationcost, supplyanddemandare interval grey numbers. Our method uses the concepts of center and width of grey numbers. One of the advantages of the proposed method compared to other methods that use grey number whitening is that the uncertainty in the input data is taken into account at the output of the method and it consists of five simple steps. The solution procedure is illustrated with a numerical example. Also, the new method can be served as an important tool for decisionmakers when they are handling various types of logistic problems having uncertainty parameters such as grey numbers. Further, the proposed method is extended to fuzzy grey transportation problems.
0

83
95


F.
Pourofoghi
Department of Mathematics, Payame Noor University, Tehran, Iran
Iran
d_darvishi@pnu.ac.ir


J.
Saffar Ardabili
Department of Mathematics, Payame Noor University, Tehran, Iran
Iran


D.
Darvishi Salokolaei
Department of Mathematics, Payame Noor University, Tehran, Iran
Iran
Center and Width
Grey number
Transportation
Zero point method
Uncertainty
1

Solution of Vacuum Field Equation Based on Physics Metrics in Finsler Geometry and Kretschmann Scalar
https://ijnaa.semnan.ac.ir/article_4403.html
10.22075/ijnaa.2019.4403
1
The LemaîtreTolmanBondi (LTB) model represents an inhomogeneous spherically symmetric universefilledwithfreelyfallingdustlikematterwithoutpressure. First,wehaveconsideredaFinslerian anstaz of (LTB) and have found a Finslerian exact solution of vacuum field equation. We have obtained the R(t,r) and S(t,r) with considering establish a new solution of Rµν = 0. Moreover, we attempttouseFinslergeometryasthegeometryofspacetimewhichcomputetheKretschmannscalar. An important problem in General Relativity is singularities. The curvature singularities is a point when the scalar curvature blows up diverges. Thus we have determined Ks singularity is at R = 0. Our result is the same as Reimannian geometry. We have completed with a brief example of how these solutions can be applied. Second, we have some notes about anstaz of the Schwarzschild and Friedmann Robertson Walker (FRW) metrics. We have supposed condition dlog(F) = dlog( ¯ F) and we have obtained ¯ F is constant along its geodesic and geodesic of F. Moreover we have computed Weyl and Douglas tensors for F2 and have concluded that Rijk = 0 and this conclude that Wijk = 0, thus F2 is the Ads Schwarzschild Finsler metric and therefore F2 is conformally flat. We have provided a Finslerian extention of Friedmann Lemaitre Robertson Walker metric based on solution of the geodesic equation. Since the vacuum field equation in Finsler spacetime is equivalent to the vanishing of the Ricci scalar, we have obtained the energy momentum tensor is zero.
0

97
114


M.
Farahmandy Motlagh
Mathematics,Mathematics and Statistics,university of mazandaran, Babolsar, Iran
Iran
m.farahmandy@stu.umz.ac.ir


A.
Behzadi
Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, P. O. Box 4741695447, Babolsar, Iran
Iran
Einstein’s equations, Lemaître–Tolman–Bondi
Kretschmann scalar, Finsler Geometry, FriedmannRobertsonWalker, Schwarzschild
1

Customer Validation in CrossDock
https://ijnaa.semnan.ac.ir/article_4404.html
10.22075/ijnaa.2019.4404
1
Considering the importance of validation of customers in the crossdock and since this is one of the problems of implementing crossdock system in Iran, this study attempted to extract customer validation criteria. The purpose of the research is to eliminate the distrust of distributors in receiving the funds of the sent items and the statistical sample of this research is the experts of the systemofdistributionofgoodsandvalidation, indicatorswerecollectedbyusingDelphimethodand questionnaire and AHP method was used to calculate the weight and the rank of indexes.
0

115
121


M.
Aliakbarnia Omran
Department of Industrial Engineering, Kish International Camp, University of Tehran, Tehran, Iran.
Iran


F.
Jolai
bSchool of Industrial Engineering, College of Engineering, University of Tehran, Tehran , Iran
Iran
Validation
CrossDock
Customer
1

On a class of nonlinear fractional SchrödingerPoisson systems
https://ijnaa.semnan.ac.ir/article_4405.html
10.22075/ijnaa.2019.4405
1
In this paper, we are concerned with the following fractional SchrödingerPoisson system: (−∆s)u + V (x)u + φu = m(x)uq−2u+ f(x,u), x ∈ Ω, (−∆t)φ = u2, x ∈ Ω, u = φ = 0, x ∈ ∂Ω, where s,t ∈ (0,1], 2t + 4s > 3, 1 < q < 2 and Ω is a bounded smooth domain of R3, and f(x,u) is linearly bounded in u at infinity. Under some assumptions on m, V and f we obtain the existence of nontrivial solutions with the help of the variational methods.
0

123
132


M.
Soluki
aDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
Iran


S.H.
Rasouli
Department of Mathematics, Faculty of Basic Sciences, Babol (Noushirvani) University of Technology Babol, Iran
Iran
s.h.rasouli@nit.ac.ir


G.A.
Afrouzi
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
Iran
Fractional SchrödingerPoisson systems
Nontrivial solutions
Variational methods
1

On Ideal Elements in PoeAGgroupoid
https://ijnaa.semnan.ac.ir/article_4406.html
10.22075/ijnaa.2019.4406
1
In this paper we introduce the concept of ideal elements in poeAGgroupoid and give some characterizations and properties of their ideal elements. So we consider some results concerning ideals in poesemigroups and investigate them in poeAGgroupoids. Also, the class of ideal elements of poeAGgroupoids are studied, certain intrinsic and basic properties of poeAGgroupoids including: ideal, biideal, interior ideal, prime, semiprime, intraregular elements and etc. are studied as well. The corresponding results on poesemigroups can be also obtained as application of the results of this paper.
0

133
140


A. R.
Shabani
Department of Mathematics Imam Khomaini Naval Academy, Nowshahr, Iran
Iran
AGgroupoid
poesemigroup
poeAGgroupoid
ideal element
intrior ideal element
prime
semiprime
intraregular
gregular
filter element
quasicommutative
1

Developing a Decision Support System for Extracting Knowledge to Improve the Quality of the Production Situation by Focusing on Big Data in Industry
https://ijnaa.semnan.ac.ir/article_4420.html
10.22075/ijnaa.2019.4420
1
Abstract The use of energy in industry affects every single citizen directly through the cost of goods and services, the quality of manufactured products, the strength of the economy, and the availability of jobs. In addition, big data and analytics play an important role in the way of using energy in different industries. Therefore, the purpose of this paper is to extract knowledge from big data of industry by using a decision support system. The mentioned data which acquired from IOT sensors is used to improve production situation. This postprocessing information, with the help of a decision support system provide valuable information for the manager in their decisionmaking process. The proposed system of this research can be used by managers even without the technical knowledge in order to produce better quality product with lower cost and usage of energy. Due to the growing trend of industries and their competitiveness in the world and especially in Iran, companies must pay attention to quality of production, lowering costs and reducing energy consumption in order to maintain their position and stay in competitive market. Thus, considering the purpose of this research, HORMOZGAN cement company from Iran has been studied as a case study for the implementation of the mentioned system of this research. MATLAB software is used for design GUI of this system. As a result of this research, the electrical energy data received by IOT sensors created the opportunity of the knowledge extraction. A complete set of reports, the analysis of data in dashboards, process of optimization and longterm planning and using whatif analysis are some capabilities of this system. The results of this system compare with current method in HORMOZGAN company indicates improving quality of production, cost reduction, lower energy consumption and better planning.
0

141
154


Seyed Amin
Fahimi
Faculty of Engineering, Islamic Azad University, Mahdishahr Branch Mahdishahr, iran.
Iran


Ebrahim
Esmaili
Faculty of Economics, Management and Administrative Sciences, Semnan University, Semnan, Iran
Iran
e.esmaili@staff.semnan.ac.ir
Internet of Things (IoT)
Big Data
Decision Support system
Extracting Knowledge
Energy reduction
1

Analytical Solution for the Time Fractional NewellWhiteheadSegel Equation by Using Modified Residual Power Series Method
https://ijnaa.semnan.ac.ir/article_4428.html
10.22075/ijnaa.2019.4428
1
The NewellWhiteheadSegel equation is an important model arising in biology, ﬁnance, ﬂuid mechanics and some more processes. Various researchers worked on approximate solution of this model by using diﬀerent methods. In this paper, the NewellWhiteheadSegel equation of fractional order is solved by using a generalized Taylor series formula together with residual error function, which is named the residual power series method (RPSM). The illustrative examples are presented to demonstrate the accuracy and eﬀectiveness of the proposed method.
0

155
167


E
Abdolmaleki
Department of Applied Mathematics, Islamic Azad University, Lahijan Branch, Lahijan 4695113111, Iran.
Iran


H
Saberi Najafi
Department of Applied Mathematics, Islamic Azad University, Lahijan Branch, Lahijan 4695113111, Iran.
Iran
Functional residual power series
NewellWhiteheadSegel equation of fractional order
Caputo fractional derivative
1

Digital Color Image Encryption Using Cellular Automata and Chaotic Map
https://ijnaa.semnan.ac.ir/article_4429.html
10.22075/ijnaa.2019.4429
1
Today, with the expansion of multimedia communications, computer networks, and the distribution of information on the Internet, maintaining the security of information exchanged through insecure channels has become an important and essential issue in data communication. One way to protect the information in passive defense is to encrypt data so that people can communicate securely on a secure channel while maintaining their privacy and data authenticity. Because color image data has certain features compared to traditional data such as text and binary data, special algorithms are needed to encrypt digital images to maintain the efficiency, security, and speed of encryption. The present study provides a way to encrypt digital images using reversible cell automation and chaotic mapping. The basis for encrypting the proposed method is the use of the concepts of Shannon's confusion and diffusion technique, which takes place in two main stages. In the first step, the plain image is received as input, then it is permuted using the 3D chaotic map by using suitable key. In the second step, the cipher image from the previous step are extracted to 24 onebit plates image and XOR by suitable 2D reversible cell automata. The proposed method will be compared with several cryptographic methods and has good outperform results.
0

169
177


Hamed
Ghazanfaripour
Department of Computer Engineering, Kerman Branch, Islamic Azad University, Kerman Iran
Iran


Ali
Broumandnia
Islamic Azad UniversitySouth Tehran Branch, Iran
Iran
broumandnia@gmail.com
Color image encryption
reversible cellular automata
permutation
Diffusion
confusion
chaotic map