International Journal of Industrial Mathematics
https://ijim.srbiau.ac.ir/
International Journal of Industrial Mathematicsendaily1Sun, 01 Jan 2023 00:00:00 +0330Sun, 01 Jan 2023 00:00:00 +0330Existence and Uniqueness Analysis for a Class of Singular Non-Linear Two-Point Boundary Value Problems by an Optimal Iterative Sequence
https://ijim.srbiau.ac.ir/article_20731.html
The convergence of thisiterative sequence is then controlled by an embedded parameter. The fastest convergence occurs for an optimal embedded parameter which maximizes a special function. This optimization problem brings a sequence with high rate of the convergence to theunique solution in the finite region where $\frac{\partial f}{\partial y}$ has to be positive.Some illustrative examples are given to confirm the validity and reliability of this constructive theory.An Experimental Analysis of the Knock Response of Different Stoichiometric Mixtures of Gasoline-Natural Gas to Various Engine Speeds
https://ijim.srbiau.ac.ir/article_20734.html
Gasoline causes engine knock in higher compression ratios due to having lower spontaneous ignition temperature. Natural Gas (NG) has a higher octane number and is a proper fuel in terms of anti-knock properties; however, using it as the engine fuel results in a decline in the power of the engine and increases the emission of some exhaust gases due to lower burning velocity and gaseous nature.On the Solution of Volterra-Fredholm Integro-Differential Equation by Using New Iterative Method
https://ijim.srbiau.ac.ir/article_20836.html
Integro-differential equations arise in various physical and biological problems. In this paper, a new iterative technique for solving linear Volterra-Fredholm integro-differential equation (VFIDE) has been introduced. The method is discussed in details and it is illustrated by solving some numerical examples. The approximate solution is most easily produced iteratively via the recurrence relation. Results are compared with the exact solutions, which reveal that new iteration method is very effective and convenient.GSOCPP optimization for predicting the proper number of controllers in SDN
https://ijim.srbiau.ac.ir/article_20984.html
In Software Defined Network (SDN), the controller layer that is separated from the data layer is responsible for all system functionalities. However, centralized solutions suffer from single-point-of-failure and bottleneck problems. Several controllers are used to increase availability and performance in large networks to solve the aforementioned problems. One of the main concerns is finding the optimal number of controllers and their locations, which is known as an NP-hard problem. To do this, in this paper, in addition to presenting an efficient algorithm based on Garter snake algorithm (GSO), a new statistical analysis for determining the number of controllers is figured out.A Hybrid Approach for Systems of Integral Equations
https://ijim.srbiau.ac.ir/article_21178.html
&lrm;In this paper&lrm;, &lrm;we present a computational method for solving systems of Volterra and Fredholm integral equations which is a hybrid approach&lrm;, &lrm;based on the third-order Chebyshev polynomials and block-pulse functions which we will refer to as (HBV)&lrm;, &lrm;for short&lrm;. &lrm;The existence and uniqueness of the solutions are addressed&lrm;. &lrm;Some examples are provided to clarify the efficiency and accuracy of the method&lrm;.A New Method for Solving Multi-Dimensional Fredholm Integral Equations and Its Convergence Analysis
https://ijim.srbiau.ac.ir/article_21180.html
In this paper, we focus on obtaining an approximate solution for multi-dimensional Fredholm integral equations of second kind. An expansion method is used for treatment multi-dimensional Fredholm integral equation of second kind. This method reduces multi-dimensional integral equation to a partial differential equation. After constructing boundary conditions, this partial differential equation reduces to algebraic equation that can be solved easily with any of the usual methods. Furthermore some theorems are proved for convergence analysis. Finally, for showing the efficiency of the method we use some numerical examplesObservers and Relative Entropy Functional
https://ijim.srbiau.ac.ir/article_21185.html
&lrm;In this paper&lrm;, &lrm;we will use the mathematical modeling of one-dimensional observers to present the notion of the \emph{relative entropy functional} for relative dynamical systems&lrm;. &lrm;Also&lrm;, &lrm;the invariance of the entropy of a system under topological conjugacy is generalized to the relative entropy functional&lrm;. &lrm;Moreover&lrm;, &lrm;from observer viewpoint&lrm;, &lrm;a new version of the Jacobs Theorem is obtained&lrm;. &lrm;It has been proved that relative entropy functional is equivalent to the Kolmogorov entropy for dynamical systems&lrm;, &lrm;from the viewpoint of observer $ \chi_X $&lrm;, &lrm;where $ \chi_X $ is the characteristic function on compact metric space $X$&lrm;.Extended Transportation Problem with Non-Homogeneous Costs and Non-explicit Output- A DEA Based Method
https://ijim.srbiau.ac.ir/article_20068.html
The transportation system could be considered as one of the most prevalent issues in the field of linear programming. There are various costs for shipping from one source to another destination, which are not homogenous. In a study by Amirteimoori &lrm;[A. Amirteimoori, An extended transportation problem: a DEA based, Central European Journal of Operations Research, 2011]&lrm;, the extended transportation problem was introduced, while many significant questions regarding the production possibility set, the place of costs, the benefits, and the nature of these costs were not addressed. Considering the recent improvements provided in data envelopment analysis, in the present study, we attempt to propose a more meticulous model, which tries to solve the issue of transportation with non-homogeneous costs. Moreover, we provide a comprehensive and consistent reality solution to the transportation &lrm;problem.&lrm;