ORIGINAL_ARTICLE
A new semi-active magnetorheological engine mounts for improving vehicle ride comfort using sliding mode controller
In this paper, a new semi-active magnetorheological (MR) engine mounting half car model is proposed 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 transmitted from suspension system to vehicle body is reduced. Itisfoundthatusingthiscontroller, the undesirable vibrations imposed on the passengers can be diminished despite uncertainty of the load in the model.
https://ijnaa.semnan.ac.ir/article_4392_13637c90b0282d5ea09539072fae6b2d.pdf
2019-12-01
1
11
10.22075/ijnaa.2019.4392
Magnetorheological engine mount
Dynamic sliding mode
half car model
J.
Marzbanrad
marzban@iust.ac.ir
1
Faculty at School of Automotive Engineering, Iran University of Science and Technology, Tehran, Iran
LEAD_AUTHOR
S. S.
Hosseini
2
PhD Student at School of Automotive Engineering, Iran University of Science and Technology, Tehran, Iran
AUTHOR
ORIGINAL_ARTICLE
Existence of non-trivial solutions for fractional Schrödinger-Poisson systems with subcritical growth
In this paper, we are concerned with the following fractional Schrödinger-Poisson system:
$$\left\{ \begin{array}{ll} (-\Delta^s)u+u+\lambda\phi u=\mu f(n)+|u|^{p-2}|u|, & x\in\mathbb{R}^3 \\ (-\Delta^t)\phi=u^2, & x\in\mathbb{R}^3 \end{array} \right.$$
where $\lambda,\mu$ are two parameters, $s,t \in (0,1], 2t + 4s > 3 ,1 < p ≤ 2_s^∗$ and $f : \mathbb{R} \longrightarrow \mathbb{R}$ is continuous function. Using some critical point theorems and truncation technique, we obtain the existence and multiplicity of non-trivial solutions with the help of the vibrational methods.
https://ijnaa.semnan.ac.ir/article_4393_5c0ff0eb8b6c0ca3798fe907821483ec.pdf
2019-12-01
13
23
10.22075/ijnaa.2019.4393
Fractional Schrödinger-Poisson systems
Sublinear nonlinearity
Variational methods
A.
Keyhanfar
ar.keyhanfar@gmail.com
1
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
AUTHOR
S.H.
Rasouli
s.h.rasouli@nit.ac.ir
2
Department of Mathematics, Faculty of Basisc Sciences, Babol(Noshirvani) University of Technology Babol, Iran
LEAD_AUTHOR
G.A.
Afrouzi
3
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
AUTHOR
ORIGINAL_ARTICLE
Solving The Optimal Control Problems Using Homotopy Perturbation Transform Method
In this paper, we solve Hamilton-Jacobi-Bellman (HJB) equations arising in optimal control problems using Homotopy Perturbation Transform Method (HPTM). The proposed method is a combined form of the Laplace Transformation Method with the Homotopy Perturbation Method to produce a highly effective method to handle many problems. Applying the HPTM, the solution procedure becomes easier, simpler and more straightforward. Some illustrative examples are given to demonstrate the simplicity and eﬀiciency of the proposed method.
https://ijnaa.semnan.ac.ir/article_4394_89c6887f6af8f35dc32f5e60b8c35aca.pdf
2019-12-01
25
38
10.22075/ijnaa.2019.4394
Homotopy Perturbation Transform Method (HPTM)
Homotopy Perturbation Method (HPM)
Laplace transformation
Optimal control problems(OCP)
Hamilton-Jocobi-Bellman(HJB)
M.
Alipour
mf.alipour@yahoo.com
1
Department of Mathematics,Payame Noor University, P.O.Box 19395-3697, Tehran, Iran
AUTHOR
F.
Soltanian
2
Department of Mathematics,Payame Noor University, P.O.Box 19395-3697, Tehran, Iran
LEAD_AUTHOR
J.
Vahidi
jvahidi@iust.ac.ir
3
Department of Mathematics, Iran University of science and Technology, Tehran,Iran. Department of Mathematical Sciences,University of South Africa, UNISA 0003, South Africa
AUTHOR
S.
Ghasempour
4
Department of Mathematics,Payame Noor University, P.O.Box 19395-3697, Tehran, Iran
AUTHOR
ORIGINAL_ARTICLE
Prediction of Renewable Energy Production Using Grey Systems Theory
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 environmental pollutions that lead to global warming. Therefore, various countries have attempted to reduce potential damage and use renewable energies by the introduction and promotion of renewable 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 three indices of the error values of MSE, RMSE, and MAPE, all the predictions are done by the methods above are among the best prediction methods. By examining the results achieved, 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.
https://ijnaa.semnan.ac.ir/article_4395_ccc214e68a9554d46d13d53064b78455.pdf
2019-12-01
39
51
10.22075/ijnaa.2019.4395
Prediction
Grey system
Absolute prediction error
Renewable Energy
GM(1
1)
D.
Darvishi Salookolaei
d_darvishi@pnu.ac.ir
1
Department of Mathematics, Payame Noor University, Tehran, Iran
LEAD_AUTHOR
P.
Babaei
2
Department of Mathematics, Payame Noor University, Tehran, Iran
AUTHOR
S.
Heydari gorji
3
Department of Management, Payame Noor University, Tehran, Iran
AUTHOR
ORIGINAL_ARTICLE
Scheduling Post-Distribution Cross-Dock under Demand Uncertainty
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 cross-dock has the advantage of removing intermediaries and reducing the space required for the warehouse, it is worth considering. Among the methods of cross-docking, the post-distribution method is important in terms of uncertainty. Due to the importance of the issue of the post-distribution method in cross-dock, this paper addresses the uncertainty of demand in cross-docking. For this purpose, a linear programming model has been developed for post-distribution cross-dock, and then solved an example by the use of the meta-heuristic whale algorithm. After that, uncertainty enters the model and the robust counterpart 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 cross-docking.
https://ijnaa.semnan.ac.ir/article_4396_995805d042ff4e819bec4a61d0db0f19.pdf
2019-12-01
53
65
10.22075/ijnaa.2019.4396
scheduling
post-distribution cross-docking
demand uncertainty
robust optimization approach
collective inductive uncertainty set
M. M.
Nasiri
mmnasiri@ut.ac.ir
1
School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran
AUTHOR
M.
Aliakbarnia Omran
2
Department of Industrial Engineering, Kish International Camp, University of Tehran, Tehran, Iran
LEAD_AUTHOR
F.
Jolai
3
School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran
AUTHOR
ORIGINAL_ARTICLE
A Numerical Approach for Fractional Optimal Control Problems by Using Ritz Approximation
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.
https://ijnaa.semnan.ac.ir/article_4397_a856b9b607c47c03dbfdc2e0a8c1e883.pdf
2019-12-01
67
73
10.22075/ijnaa.2019.4397
Fractional Optimal Control Problems
Caputo fractional derivative
Optimal Control Problems
Polynomial basis functions
A.
Ramezanpour
ramezanpour_abazar@yahoo.com
1
Department of Mathematics, Payame Noor University, Tehran, Iran
AUTHOR
P.
Reihani
2
Department of Mathematics, Payame Noor University, Tehran, Iran
AUTHOR
J.
Vahidi
jvahidi@iust.ac.ir
3
Department of Mathematics, Iran University of science and Technology, Tehran,Iran. Department of Mathematical Sciences, University of South Africa, UNISA0003,South Africa
LEAD_AUTHOR
F.
Soltanian
4
Department of Mathematics, Payame Noor University, Tehran, Iran
AUTHOR
ORIGINAL_ARTICLE
Scalar Product Graphs of Modules
Let R be a commutative ring with identity and M an R-module. The Scalar-Product 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.
https://ijnaa.semnan.ac.ir/article_4398_64d6b7e17ebef0902821a02c189f188e.pdf
2019-12-01
75
82
10.22075/ijnaa.2019.4398
Scalar Product
Graph
Module
M.
Nouri Jouybari
1
Department of Mathematics, University of Mazandaran, Babolsar, Iran
AUTHOR
Y.
Talebi
2
Department of Mathematics, University of Mazandaran, Babolsar, Iran
LEAD_AUTHOR
S.
Firouzian
3
Department of Mathematics, Payame Noor University (PNU), Tehran, Iran
AUTHOR
ORIGINAL_ARTICLE
A New Approach for Finding an Optimal Solution for Grey Transportation Problem
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, the 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 optimal solution for grey transportation problems where transportation cost, supply and demand are 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 decision-makers 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.
https://ijnaa.semnan.ac.ir/article_4399_22666c6fca8465350bfe31b354772795.pdf
2019-12-01
83
95
10.22075/ijnaa.2019.4399
Center and Width
Grey number
Transportation
Zero point method
Uncertainty
F.
Pourofoghi
d_darvishi@pnu.ac.ir
1
Department of Mathematics, Payame Noor University, Tehran, Iran
AUTHOR
J.
Saffar Ardabili
2
Department of Mathematics, Payame Noor University, Tehran, Iran
AUTHOR
D.
Darvishi Salokolaei
3
Department of Mathematics, Payame Noor University, Tehran, Iran
LEAD_AUTHOR
ORIGINAL_ARTICLE
Solution of Vacuum Field Equation Based on Physics Metrics in Finsler Geometry and Kretschmann Scalar
The Lemaître-Tolman-Bondi (LTB) model represents an inhomogeneous spherically symmetric universe filled with freely falling dust-like matter without pressure. First, we have considered a Finsleriananstaz 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 $R_{µν} = 0$. Moreover, we attempt to use Finsler geometry as the geometry of space-time which compute the Kretschmann scalar. 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 $K_s$ singularity is at $R = 0$. Our result is the same as Riemannian 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 $d\log (F) = d\log (\bar{F})$ and we have obtained $\bar{F}$ is constant along its geodesic and geodesic of $F$. Moreover we have computed Weyl and Douglas tensors for $F^2$ and have concluded that $R_{ijk} = 0$ and this conclude that $W_{ijk} = 0$, thus $F^2$ is the Ads Schwarzschild Finsler metric and therefore $F^2$ is conformally flat. We have provided a Finslerian extension of the 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.
https://ijnaa.semnan.ac.ir/article_4403_2da47c0b949401e1c0462011e7987a40.pdf
2019-12-01
97
114
10.22075/ijnaa.2019.4403
Einstein’s equations, Lemaître–Tolman–Bondi
Kretschmann scalar, Finsler Geometry, Friedmann-Robertson-Walker, Schwarzschild
M.
Farahmandy Motlagh
m.farahmandy@stu.umz.ac.ir
1
Mathematics,Mathematics and Statistics,university of mazandaran, Babolsar, Iran
LEAD_AUTHOR
A.
Behzadi
2
Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, P. O. Box 47416-95447, Babolsar, Iran
AUTHOR
ORIGINAL_ARTICLE
Customer Validation in Cross-Dock
Considering the importance of validation of customers in the cross-dock and since this is one of the problems of implementing the cross-dock 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 system of distribution of goods and validation, indicators were collected by using Delphi method and questionnaire and AHP method was used to calculate the weight and the rank of indexes.
https://ijnaa.semnan.ac.ir/article_4404_075264e9208cb2606c4ebd21c619300d.pdf
2019-12-01
115
121
10.22075/ijnaa.2019.4404
Validation
Cross-Dock
Customer
M.
Aliakbarnia Omran
1
Department of Industrial Engineering, Kish International Camp, University of Tehran, Tehran, Iran.
LEAD_AUTHOR
F.
Jolai
2
School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran
AUTHOR
ORIGINAL_ARTICLE
On a class of nonlinear fractional Schrödinger-Poisson systems
In this paper, we are concerned with the following fractional Schrödinger-Poisson system:$$\left\{ \begin{array}{ll} (-\Delta^s)u+V(x)u+\phi u=m(x)|u|^{q-2}|u|+f(x,u), & x\in\Omega, \\ (-\Delta^t)\phi=u^2, & x\in\Omega,\\ u=\phi=0, & x\in\partial\Omega \end{array} \right.$$where $s,t \in (0,1], 2t + 4s > 3, 1 < q < 2$ and $\Omega$ is a bounded smooth domain of $\mathbb{R}^3$, and $f(x,u)$ is linearly bounded in $u$ at infinity. Under some assumptions on $m, V$ and $f$ we obtain the existence of non-trivial solutions with the help of the variational methods.
https://ijnaa.semnan.ac.ir/article_4405_0d5ac99c730ccb355e764c67c563de52.pdf
2019-12-01
123
132
10.22075/ijnaa.2019.4405
Fractional Schrödinger-Poisson systems
Non-trivial solutions
Variational methods
M.
Soluki
1
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
AUTHOR
S.H.
Rasouli
s.h.rasouli@nit.ac.ir
2
Department of Mathematics, Faculty of Basic Sciences, Babol (Noushirvani) University of Technology Babol, Iran
LEAD_AUTHOR
G.A.
Afrouzi
3
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
AUTHOR
ORIGINAL_ARTICLE
On Ideal Elements in Poe-AG-groupoid
In this paper we introduce the concept of ideal elements in poe-AG-groupoid and give some characterizations and properties of their ideal elements. So we consider some results concerning ideals in poe-semigroups and investigate them in poe-AG-groupoids. Also, the class of ideal elements of poe-AG-groupoids are studied, certain intrinsic and basic properties of poe-AG-groupoids including: ideal, bi-ideal, interior ideal, prime, semiprime, intra-regular elements and etc. are studied as well. The corresponding results on poe-semigroups can be also obtained as application of the results of this paper.
https://ijnaa.semnan.ac.ir/article_4406_5f742e89906f58f58fc3fe7e4d783c24.pdf
2019-12-01
133
140
10.22075/ijnaa.2019.4406
AG-groupoid
poe-semigroup
poe-AG-groupoid
ideal element
intrior ideal element
prime
semiprime
intra-regular
g-regular
filter element
quasi-commutative
A. R.
Shabani
1
Department of Mathematics Imam Khomaini Naval Academy, Nowshahr, Iran
LEAD_AUTHOR
ORIGINAL_ARTICLE
Developing a Decision Support System for Extracting Knowledge to Improve the Quality of the Production Situation by Focusing on Big Data in Industry
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 post-processing information, with the help of a decision support system provide valuable information for the manager in their decision-making 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 long-term planning and using what-if 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.
https://ijnaa.semnan.ac.ir/article_4420_781a2c2355f3cd364caaa5e13c428561.pdf
2019-12-01
141
154
10.22075/ijnaa.2019.4420
Internet of Things (IoT)
Big Data
Decision Support system
Extracting Knowledge
Energy reduction
Seyed Amin
Fahimi
1
Faculty of Engineering, Islamic Azad University, Mahdishahr Branch Mahdishahr, iran.
AUTHOR
Ebrahim
Esmaili
e.esmaili@staff.semnan.ac.ir
2
Faculty of Economics, Management and Administrative Sciences, Semnan University, Semnan, Iran
LEAD_AUTHOR
ORIGINAL_ARTICLE
Analytical Solution for the Time Fractional Newell-Whitehead-Segel Equation by Using Modified Residual Power Series Method
The Newell-Whitehead-Segel 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 Newell-Whitehead-Segel 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.
https://ijnaa.semnan.ac.ir/article_4428_e76d1753db0d6008887a2523a65125f5.pdf
2019-12-01
155
167
10.22075/ijnaa.2019.4428
Functional residual power series
Newell-Whitehead-Segel equation of fractional order
Caputo fractional derivative
E
Abdolmaleki
1
Department of Applied Mathematics, Islamic Azad University, Lahijan Branch, Lahijan 4695113111, Iran.
AUTHOR
H
Saberi Najafi
2
Department of Applied Mathematics, Islamic Azad University, Lahijan Branch, Lahijan 4695113111, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Digital Color Image Encryption Using Cellular Automata and Chaotic Map
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 one-bit 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.
https://ijnaa.semnan.ac.ir/article_4429_ed0a0bf682c94f913c00192f4c7d148a.pdf
2019-12-01
169
177
10.22075/ijnaa.2019.4429
Color image encryption
reversible cellular automata
permutation
Diffusion
confusion
chaotic map
Hamed
Ghazanfaripour
1
Department of Computer Engineering, Kerman Branch, Islamic Azad University, Kerman Iran
AUTHOR
Ali
Broumandnia
broumandnia@gmail.com
2
Islamic Azad University-South Tehran Branch, Iran
LEAD_AUTHOR