International Journal of Industrial Mathematics: 5 (4)

Open Access Article

1 - Routing Optimization in Vehicular Social Networks Using Firefly Algorithm
مینا زندی محسن جهانشاهی علیرضا هدایتی

Vehicular communications have been considered to be an enabler for numerous vehicle safety and information applications.Vehicle Social Networks (VSNs) are a type of ad-hoc networks which allows wireless communication between two adjacent vehicles. Routing and communicat More

Vehicular communications have been considered to be an enabler for numerous vehicle safety and information applications.Vehicle Social Networks (VSNs) are a type of ad-hoc networks which allows wireless communication between two adjacent vehicles. Routing and communicating with adjacent nodes are one of the problems in VSNs. A literature review indicated that the time limit to transmit data and route is a problem due to the geographical distance and speed.. Manuscript profile

Open Access Article

2 - Using New Operational Matrix for Solving Nonlinear Fractional Integral Equations
فائزه سالکی رضا عزتی

In this paper, a numerical method for solving nonlinear fractional integral equations (NFIE) is introduced. This method is based on the new basis functions (NFs) introduced in [M. Paripour and et al., Numerical solution of nonlinear Volterra Fredholm integral equations More

In this paper, a numerical method for solving nonlinear fractional integral equations (NFIE) is introduced. This method is based on the new basis functions (NFs) introduced in [M. Paripour and et al., Numerical solution of nonlinear Volterra Fredholm integral equations by using new basis functions, Communications in Numerical Analysis, (2013)]. Since the conventional operational matrices for fractional kernels are singular, the definition of these matrices is modified. In order to increase the accuracy of approximating integrals, the operational matrices are exactly calculated and parametrically presented. Then, the solution procedure is proposed and applied on NFIE. Furthermore, the error analysis is performed and rate of convergence is obtained. In addition, various numerical examples are provided for a wide range of fractional orders and nonlinearity of integral equations. Comparison of the results with the exact solutions and those reported in previous studies indicate the capability, salient accuracy, and superiority of the proposed method over similar ones. Manuscript profile

Open Access Article

3 - Fuzzy Assessment of Heavy Metal Pollution
غلامرضا حسامیان محمد قاسم اکبری مهدی شمس

The present work is aimed to extend the common pollution indices into the fuzzy environment. For this purpose, a method was developed for converting the heavy metal contamination in soil by fuzzy numbers. Then, the most commonly used pollution indices are defined as fuz More

The present work is aimed to extend the common pollution indices into the fuzzy environment. For this purpose, a method was developed for converting the heavy metal contamination in soil by fuzzy numbers. Then, the most commonly used pollution indices are defined as fuzzy numbers by applying the alpha-cuts approach. To evaluate the degree of heavy metal contamination in a specific level, a degree of belonging was also suggested. Manuscript profile

Open Access Article

4 - A New Hybrid Methodology Based on Data Envelopment Analysis and Neural Network for Optimization of Performance Evaluation
علی نمکین سید اسماعیل نجفی محمد فلاح مهرداد جوادی

In this paper, a new method of combining ANN and DEA (ANN-DEA) presented in which the input and output values for a large number of DMUs determined as neural network inputs. We have also compared the new model with the existing approach of ANN-DEA. To illustrate the abi More

In this paper, a new method of combining ANN and DEA (ANN-DEA) presented in which the input and output values for a large number of DMUs determined as neural network inputs. We have also compared the new model with the existing approach of ANN-DEA. To illustrate the ability of the proposed methodology some case studies are used, including a set of 500 Iranian bank branches. Manuscript profile

Open Access Article

5 - Analysis of the Parameter-Dependent Multiplicity of Steady-State Profiles of a Strongly Nonlinear Mathematical Model Arising From the Chemical Reactor Theory
محمد سعید باریکبین مهدی امام جمعه محمد نباتی

In this paper, we study the uniqueness and multiplicity of the solutions of a strongly nonlinear mathematical model arising from chemical reactor theory. The analysis is based on the reproducing kernel Hilbert space method. The main aim of this work is to find how much More

In this paper, we study the uniqueness and multiplicity of the solutions of a strongly nonlinear mathematical model arising from chemical reactor theory. The analysis is based on the reproducing kernel Hilbert space method. The main aim of this work is to find how much information can be predicted using numerical computations. The dependence of the number of solutions on the parameters of the model is also studied. Furthermore, the analytical approximations of all branches of solutions can be calculated by the proposed method. The convergence of the proposed method is proved. Some numerical simulations are presented. Manuscript profile

Open Access Article

6 - Exact Closed-Form Result for the Heat Transfer From Convecting-Radiating Fin of Rectangular Shape
الیاس شیوانیان فاطمه سهرابی

In this letter, the problem of determining heat transfer from convecting-radiating fin of rectangular shape is investigated. We consider steady conduction in the fin and neglect radiative exchange between adjacent fins and between the fin and its primary surface. It is More

In this letter, the problem of determining heat transfer from convecting-radiating fin of rectangular shape is investigated. We consider steady conduction in the fin and neglect radiative exchange between adjacent fins and between the fin and its primary surface. It is demonstrated that the governing fin equation is exactly solvable. The exact, closed-form analytical solutions in implicit form are convenient for physical interpretation and optimization for maximum heat transfer. Manuscript profile

Open Access Article

7 - Non-Convex Cost and Revenue Efficiency Analysis in Two-Stage Networks and Its Application to Iranian Airlines
جواد گرامی محمد رضا مظفری پریسا کامیاب

In this paper, we develop the revenue and cost efficiency models based on the FDH model. In the following, we will develop the proposed models for the two-stage network structure and obtain the desired scores of inputs and outputs by considering the input and output pri More

In this paper, we develop the revenue and cost efficiency models based on the FDH model. In the following, we will develop the proposed models for the two-stage network structure and obtain the desired scores of inputs and outputs by considering the input and output prices. An algorithm for measuring the revenue and cost efficiency is presented based on the ratio of inputs and outputs. Manuscript profile

Open Access Article

8 - A ّFast Numerical Method Based on Hybrid Taylor and Block-Pulse Functions for Solving Delay Differential Equations
مهدی ابلاغی علیرضا وحیدی اسماعیل بابلیان

In this article, a fast numerical approach is proposed for finding the solution of nonlinear delay differential equations by using hybrid Taylor and Block-pulse Functions (HTBPFs). Firstly, some features of hybrid functions which are a combination of Block-Pulse functi More

In this article, a fast numerical approach is proposed for finding the solution of nonlinear delay differential equations by using hybrid Taylor and Block-pulse Functions (HTBPFs). Firstly, some features of hybrid functions which are a combination of Block-Pulse functions and Taylor polynomials on the interval are introduced [0, 1) . In this spectral approach, the operational matrices of stretch, derivation and coefficient matrices are utilized. Based on these piecewise functions, we transfer delay differential equations (DDEs) into a system of linear or nonlinear algebraic equations. Also, in this numerical approach, it is shown that these operational matrices are sparse which is an effective advantage of the fast implementation of numerical computation. Then, error analysis is done. Finally, three examples are solved to show that the new proposed approach is comparable with other methods of high accuracy and efficiency. Manuscript profile

Open Access Article

9 - Numerical Solution of Second-Order Hybrid Fuzzy Differential Equations by Generalized Differentiability
نیره شهریاری سعید عباسبندی

In this research paper, a numerical method is presented for solving second-order hybrid fuzzy differential equations by using fuzzy Taylor expansion under generalized Hukuhara differentiability and also with convergence theorem. Also, the method is illustrated by solvin More

In this research paper, a numerical method is presented for solving second-order hybrid fuzzy differential equations by using fuzzy Taylor expansion under generalized Hukuhara differentiability and also with convergence theorem. Also, the method is illustrated by solving several numerical examples. The final results showed that the solution of the second-order hybrid fuzzy differential equations. Manuscript profile

Open Access Article

10 - Computing Some Topological Indices of the Molecular Graphs of Benzyl Ether with $C_{60}H$ Core and Benzyl Ether with Porphyrin Core
بهاره سلیمانی شهرام حیدریان فرهاد خاکسار حقانی

In this paper, the first, second and third Zagreb indices, the first and second multiplicative Zagreb indices, the F-index and F-polynomial of benzyl ether dendrimer with C60H core and benzyl ether dendrimer with porphyrin core are calculated. In addition, the first and More

In this paper, the first, second and third Zagreb indices, the first and second multiplicative Zagreb indices, the F-index and F-polynomial of benzyl ether dendrimer with C60H core and benzyl ether dendrimer with porphyrin core are calculated. In addition, the first and second Zagreb coindices, the first and second multiplicative Zagreb coindices of these graphs are computed as well. Finally, the multiplicative Zagreb index of these graphs is computed through the link of graphs. Manuscript profile

Open Access Article

11 - Zero-forcing Finite Automata
مرضیه شمسی زاده محمد مهدی زاهدی معصومه گلمحمدیان خدیجه ابول پور

The current study aims to establish a connection between graphs and automata theory, which apparently demonstrate different mathematical structures. Through searching out some properties of one of these structures, we try to find some new properties of the other structu More

The current study aims to establish a connection between graphs and automata theory, which apparently demonstrate different mathematical structures. Through searching out some properties of one of these structures, we try to find some new properties of the other structure as well. This will result in obtaining some unknown properties. At first, a novel automaton called zero-forcing (Z-F) finite automata is defined according to the notion of a zero-forcing set of a graph. It is shown that for a given graph and for some zero forcing sets, various Z-F-finite automata will be obtained. In addition, the language and the closure properties of Z-F-finite automata, in particular; union, connection, and serial connection are studied. Moreover, considering some properties of graphs such as the closed trail, connected and complete; some new features for Z-F-finite automata are presented. Further, it is shown that there is not any finite graph such that f be a part of the language of its Z-F-finite automata. Actually, it is proved that for every given graph, the Z-F-finite automata of it does not show any closed trail containing all edges for every zero forcing set, but if the graph G has been a closed trail containing all edges, then the Z-F-finite automata of it has a weak closed trail containing all edges. Some examples are also given to clarify these new notions. Manuscript profile

Open Access Article

12 - A ‎M‎athematical Optimization Model for Integrating the Problems of Discrete Time-Cost Tradeoff (DTCTP) and Multi-Mode Resource-Constrained Project Scheduling (‎MRCPSP)‎
M. A. Shafiee F. Hosseinzadeh &lrm;Lotfi&lrm; M. R. Shahriari R. &lrm;Radfar&lrm;

10.30495/ijim.2023.36595.1197

&lrm;The problem of resource-constrained project scheduling(RCPSP) and the problem of time-cost tradeoff (DTCTP) are two mathematical optimization problems that have long mattered in project management in such a way that reducing the completion time of a project, which More

&lrm;The problem of resource-constrained project scheduling(RCPSP) and the problem of time-cost tradeoff (DTCTP) are two mathematical optimization problems that have long mattered in project management in such a way that reducing the completion time of a project, which is achieved through increasing the resources required for executing the activities, usually turns into a necessity in practice. The existing methods and algorithms for solving this problem, considering the cost-slope of the activities as a pivotal index, have been defined differently to date. Yet, this paper aims to present a framework whereby project scheduling and time-cost tradeoff can be addressed under the circumstances that several modes of execution exist for each activity. Apart from the renewable resources, the non-renewable resources have also been taken into consideration for each activity. Hence, initially, a mathematical optimization model based on the assumptions of the problems is proposed, and then, via changing the variables and other mathematical modelling techniques, the problems are integrated and developed in form of a mixed-integer linear mathematical programming model. Eventually, the model is solved using the branch and bound method and the results are studied with sensitivity &lrm;analysis.&lrm; Manuscript profile

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