Control and Optimization
Seyed Hamed Hashemi Mehne; Khodayar Javadi
Volume 2, Issue 2 , December 2017, , Pages 61-76
Abstract
A shape optimization problem of cooling fins for computer parts and integrated circuits is modeled and solved in this paper. The main purpose is to determine the shape of a two-dimensional pin fin, which leads to the maximum amount of removed heat. To do this, the shape optimization problem is defined ...
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A shape optimization problem of cooling fins for computer parts and integrated circuits is modeled and solved in this paper. The main purpose is to determine the shape of a two-dimensional pin fin, which leads to the maximum amount of removed heat. To do this, the shape optimization problem is defined as maximizing the norm of the Nusselt number distribution at the boundary of the pin fin's connection profile. The governing differential equations are solved in solid and fluid phases separately. In order to formulate the optimization problem with finite dimensions, the shapes of the profiles are parameterized with cubic polynomials. Due to the lack of an explicit relation between the objective function and the geometric parameters, an approximate modeling method is used for the optimization process. The proposed method starts with three initial points. Then, the governing differential equations are solved for each of the profiles related to the initial points. The new step in this iterative process involves calculations based on a polynomial interpolation within the resulting Nusselt number norms. A numerical example is given to show the implementation and accuracy of the method.
Mohammad Dehghandar; Ghasem Ahmadi; Heydar Aghebatbeen Monfared
Abstract
The purpose of this study was to provide a fuzzy system for predicting and diagnosing metabolic syndrome (MetS) in preschoolers, children, and adolescents. In this study, previous research on the factors affecting metabolic syndrome, especially in children, ...
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The purpose of this study was to provide a fuzzy system for predicting and diagnosing metabolic syndrome (MetS) in preschoolers, children, and adolescents. In this study, previous research on the factors affecting metabolic syndrome, especially in children, and adolescents, has been considered. After integrating the initial variables, a fuzzy system has been designed with 8 data on age, waist size, systole blood pressure, diastole blood pressure, body mass index (BMI), waist-to-height ratio, nutrition, and abdominal obesity. Ultimately, the system gives us an output that diagnoses the health status of a child or adolescent with MetS or predicts the possibility of a person contracting the disease in the future. The system is designed based on the data of 1300 persons participating in the fifth study of the program for monitoring and prevention of non-communicable diseases of children, and Adolescents in Tehran and Isfahan provinces that 1050 data were used as training data and 250 data as test data that used to test the rules and output of the system. After reviewing the rules and eliminating similar or contradictory rules using their degree calculation, finally, the system was designed with 45 rules, a multiplication inference engine, a single fuzzifier, and a centroid defuzzifier. Then the system was evaluated using the confusion matrix accuracy, sensitivity, and specificity. Our analysis shows that this method, with an error rate of less than 4 percent more accurate than other methods, can predict and diagnose MetS in children.
Control and Optimization
Rohollah Alesheykh
Volume 1, Issue 2 , October 2016, , Pages 63-75
Abstract
The field of optimization and machine learning are increasingly interplayed and optimization in different problems leads to the use of machine learning approaches. Machine learning algorithms work in reasonable computational time for specific classes of problems and have important role in extracting ...
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The field of optimization and machine learning are increasingly interplayed and optimization in different problems leads to the use of machine learning approaches. Machine learning algorithms work in reasonable computational time for specific classes of problems and have important role in extracting knowledge from large amount of data. In this paper, a methodology has been employed to optimize the precision of defect detection of concrete slabs depending on their qualitative evaluation. Based on this idea, some machine learning algorithms such as C4.5 decision tree, RIPPER rule learning method and Bayesian network have been studied to explore the defect of concrete and to supply a decision system to speed up the defect detection process. The results from the examinations show that the proposed RIPPER rule learning algorithm in combination with Fourier Transform feature extraction method could get a defect detection rate of 93% as compared to other machine learning algorithms.
Seyed Saman Karimi; Tahmoures Sohrabi; Amir Bayat Tork
Abstract
This paper discusses the challenges facing the logistics industry in the global business environment, including issues related to tracking transactions, preserving transaction privacy, and ensuring the security of logistics information. We propose a method for addressing these challenges using a blockchain-based ...
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This paper discusses the challenges facing the logistics industry in the global business environment, including issues related to tracking transactions, preserving transaction privacy, and ensuring the security of logistics information. We propose a method for addressing these challenges using a blockchain-based system that employs a smart contract to control the behaviors of all participants in the logistics and trade process. In the experiment, we use the Solidity programming language to develop a smart contract on Ethereum and tested it for common logistics and transaction uses. The results of related programming and coding in Remix IDE show that the proposed algorithm is highly implementable. To test the smart contract code and validation, we test four main functionalities, which include successful collateral deposit after the customer requests a document, unique token generation, successful payment settlement, and a refund based on dispute handling by the arbitrator. Oyente vulnerability analysis also shows that the code does not suffer security bugs. Therefore, the proposed method can effectively decrease the risk of the logistics and trade process.
Control and Optimization
Alireza Fakharzadeh Jahromi; Zahra Alamdar Ghahferokhi
Volume 2, Issue 1 , April 2017, , Pages 65-76
Abstract
This paper describes a new optimization method for solving continuous semi-infinite linear problems. With regard to the dual properties, the problem is presented as a measure theoretical optimization problem, in which the existence of the solution is guaranteed. ...
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This paper describes a new optimization method for solving continuous semi-infinite linear problems. With regard to the dual properties, the problem is presented as a measure theoretical optimization problem, in which the existence of the solution is guaranteed. Then, on the basis of the atomic measure properties, a computation method was presented for obtaining the near optimal solution by means of famous and simple simplex method. Some numerical results are reported to indicate the efficiency of the new method.
Mohammad Hossein Rahmani Doust; Mohammad Nasser Modoodi; Arash Mowdoudi
Abstract
Mathematical modeling has been a significant tool in biological sciences for several decades. Modern agricultural practices have had numerous effects on different aspects of ecosystems, particularly on animal populations. This research focuses on road collisions involving wildlife and emphasizes the ...
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Mathematical modeling has been a significant tool in biological sciences for several decades. Modern agricultural practices have had numerous effects on different aspects of ecosystems, particularly on animal populations. This research focuses on road collisions involving wildlife and emphasizes the effects of agricultural and non-agricultural surrounding lands. Using non-parametric Mann-Whitney U and Spearman's Rank tests, as well as SPSS software, the study found that the highest number of wildlife deaths, especially for mammals, birds, and reptiles, occurred in areas surrounded by natural regions (non-agricultural lands). Furthermore, the study found that the number of casualties was highest in the middle month of spring and those morning observations resulted in more collisions than evening ones. The correlation coefficients confirmed a significant relationship between the frequency of accidents and the type of surrounding landscape. Additionally, the researchers proposed a logistic mathematical model to investigate the relationship between animal losses and vehicle collisions. After identifying the equilibrium points, the study analyzed the solution behavior around these points.
Control and Optimization
Mohammad Hadi Noori Skandari
Abstract
In this paper, first the space of hyperbolic tangent functions is introduced and then the universal approximator property of this space is proved. In fact, by using this space, any nonlinear continuous function can be uniformly approximated with any degree of accuracy. Also, as an application, this space ...
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In this paper, first the space of hyperbolic tangent functions is introduced and then the universal approximator property of this space is proved. In fact, by using this space, any nonlinear continuous function can be uniformly approximated with any degree of accuracy. Also, as an application, this space of functions is utilized to design feedback control for a nonlinear dynamical system.
Mohammad Hamidi; Kamal Norouzi; Akbar Rezaei
Abstract
In this research, we use averages and relative measures of interval grey numbers to introduce grey vertices, grey edges, and grey graphs (graphs are based on interval grey numbers). To do so, we design a grey graph based on a graph (as the underlying graph). ...
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In this research, we use averages and relative measures of interval grey numbers to introduce grey vertices, grey edges, and grey graphs (graphs are based on interval grey numbers). To do so, we design a grey graph based on a graph (as the underlying graph). Also, we find a relation between grey vertices and grey edges of a grey graph. The primary method used in this research is based on linear inequalities related to grey vertices and grey edges. We find some necessary and sufficient conditions on the grey vertex (as (non-)discrete grey vertices) connectivity of grey graphs based on interval grey numbers and linear inequality systems}.The paper includes implications for the development of(non-)weighted graphs, and the modeling of uncertainty problems by grey vertices, grey edges, and their relations in a grey model as a grey graph. As a weighted graph, a fuzzy graph is a vital graph that has some applications in the real world, but with changes in conditions, it loses its efficiency. On the other hand, the efficiency of a grey graph is stable under changes in the conditions. So, grey graphs cover the weaknesses of fuzzy graphs. The new conception of grey graphs based on grey numbers is introduced in this study. We propose an optimization method that can be applied for grey numbers in an extension of graphs, and apply it for gray numbers in the real world, especially for optimization problems and via gray graphs.
Hamed Soroush
Abstract
The purpose of this paper is to develop nonsmooth optimization problems (P) in which all emerging functions are assumed to be real-valued quasiconvex functions that are defined on a finite-dimensional Euclidean space. First, we introduce two linear optimization problems with the same optimal ...
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The purpose of this paper is to develop nonsmooth optimization problems (P) in which all emerging functions are assumed to be real-valued quasiconvex functions that are defined on a finite-dimensional Euclidean space. First, we introduce two linear optimization problems with the same optimal value of the considered problem. Then, we introduce a real-valued non-negative gap function for (P), and we provide some conditions which ensure that its null points are the same as the optimal solution of problem (P). The results are based on incident subdifferential, which is an important concept in the analysis of quasiconvex functions.
Javad Mahdavi Varaki; Iraj Mahdavi; Shahrzad Mirkarimi
Abstract
Social, economic, and environmental issues such as population growth, reduction of natural resources, climate change, market fluctuations, and changing consumer behavior have attracted the attention of politicians to the supply chain of agricultural ...
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Social, economic, and environmental issues such as population growth, reduction of natural resources, climate change, market fluctuations, and changing consumer behavior have attracted the attention of politicians to the supply chain of agricultural products. Designing an effective supply chain for each product can lead to optimal management of the agricultural sector and create coordination and links between activities. In this article, the design of a two-echelon supply chain network of shrimp in Golestan province is investigated. The objective is to minimize the total cost associated with fixed opening and operating costs of shrimp farming companies and to determine the target market for these producers. Also, this study involves deciding on the amount of inputs purchased by each company and determining the best mode of transport. To characterize and solve this problem, we developed a mixed-integer programming (MIP) model that solves with GAMS software. The results show that with the implementation of the MIP model, the total costs of the chain are reduced by nearly 20 percent compared to the current situation. In addition, without increasing production, it is possible to supply 0.053 percent of global market demand, which is 76 percent more than before.
Control and Optimization
Aminalah Alba
Volume 1, Issue 1 , April 2016, , Pages 69-78
Abstract
Jahanshahloo has suggested a method for the solving linear programming problems with zero-one variables. In this paper we formulate fully fuzzy linear programming problems with zero-one variables and a method for solving these problems is presented using the ranking function and also the branch ...
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Jahanshahloo has suggested a method for the solving linear programming problems with zero-one variables. In this paper we formulate fully fuzzy linear programming problems with zero-one variables and a method for solving these problems is presented using the ranking function and also the branch and bound method along with an example is presented.
Control and Optimization
Siyamak Firouzian; Mohamad Adabitabar Firozja
Volume 1, Issue 2 , October 2016, , Pages 77-86
Abstract
Graph theory has an important role in the area of applications of networks and clustering. In the case of dealing with uncertain data, we must utilize ambiguous data such as fuzzy value, fuzzy interval value or values of fuzzy number. In this study, values ...
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Graph theory has an important role in the area of applications of networks and clustering. In the case of dealing with uncertain data, we must utilize ambiguous data such as fuzzy value, fuzzy interval value or values of fuzzy number. In this study, values of fuzzy number were used. Initially, we utilized the fuzzy number value fuzzy relation and then proposed fuzzy number-value fuzzy graph on nodes and arcs. In this study, some properties of the graph on fuzzy number-value fuzzy graph were examined. First, we define the Cartesian product, composition, union and join operators on fuzzy number-value fuzzy graphs and then prove some of their properties and and give some examples for every one of definitions. We also introduced the notion of homomorphism, weak isomorphism,weak co-isomorphism, isomorphism, complete, weak complete and compliment on the fuzzy number fuzzy graphs and prove some of their properties and also present some examples for every one of them.
Control and Optimization
Seyed Mehdi Mirhosseini-Alizamini
Volume 2, Issue 1 , April 2017, , Pages 77-91
Abstract
The controlled harmonic oscillator with retarded damping, is an important class of optimal control problems which has an important role in oscillating phenomena in nonlinear engineering systems. In this paper, to solve this problem, we presented an analytical ...
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The controlled harmonic oscillator with retarded damping, is an important class of optimal control problems which has an important role in oscillating phenomena in nonlinear engineering systems. In this paper, to solve this problem, we presented an analytical method. This approach is based on the homotopy perturbation method. The solution procedure becomes easier, simpler and more straightforward. In order to use the proposed method, a control design algorithm with low computational complexity is presented. Through the finite iterations of the proposed algorithm, a suboptimal control law is obtained for the problems. Finally, the obtained results have been compared with the exact solution of the controlled harmonic oscillator and variational iteration method, so that the high accuracy of the results is clear.
Control and Optimization
Hassan Rashidi
Volume 2, Issue 2 , December 2017, , Pages 77-101
Abstract
The Minimum Cost Flow (MCF) problem is a well-known problem in the area of network optimisation. To tackle this problem, Network Simplex Algorithm (NSA) is the fastest solution method. NSA has three extensions, namely Network Simplex plus Algorithm (NSA+), Dynamic Network Simplex Algorithm (DNSA) and ...
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The Minimum Cost Flow (MCF) problem is a well-known problem in the area of network optimisation. To tackle this problem, Network Simplex Algorithm (NSA) is the fastest solution method. NSA has three extensions, namely Network Simplex plus Algorithm (NSA+), Dynamic Network Simplex Algorithm (DNSA) and Dynamic Network Simplex plus Algorithm (DNSA+). The objectives of the research reported in this paper are to simulate and investigate the advantages and disadvantages of NSA compared with those of the three extensions in practical situations. To perform the evaluation, an application of these algorithms to scheduling problem of automated guided vehicles in container terminal is used. In the experiments, the number of iterations, CPU-time required to solve problems, overheads and complexity are considered.
Mohsen Rostamy-Malkhalifeh; Elham Poudineh; Ali Payan
Abstract
The purpose of this paper is to evaluate the revenue efficiency in the fuzzy network data envelopment analysis. Precision measurements in real-world data are not practically possible, so assuming that data is crisp in solving problems is not a valid assumption. One way to ...
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The purpose of this paper is to evaluate the revenue efficiency in the fuzzy network data envelopment analysis. Precision measurements in real-world data are not practically possible, so assuming that data is crisp in solving problems is not a valid assumption. One way to deal with imprecise data is fuzzy data. In this paper, linear ranking functions are used to transform the full fuzzy efficiency model into a precise linear programming problem and, assuming triangular fuzzy numbers, the fuzzy revenue efficiency of decision makers is measured. In the end, a numerical example shows the proposed method.
Siyamak Firouzian; Shaban Sedghi; Nabi Shobe
Abstract
In this paper, we introduce some new concepts of fuzzy graphs with the notion of degree of an edge in fuzzy line graphs and congraphs. Also, some properties and some lemmas of edge fuzzy line graphs and congraphs are studied. Finally, we state ...
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In this paper, we introduce some new concepts of fuzzy graphs with the notion of degree of an edge in fuzzy line graphs and congraphs. Also, some properties and some lemmas of edge fuzzy line graphs and congraphs are studied. Finally, we state and prove some results related to these concepts.
Sajad Sohrabi Hesan; Freydoon Rahbarnia; Mostafa Tavakolli
Abstract
Given any graph G, its square graph G^2 has the same vertex set as G, with two vertices adjacent in G^2 whenever they are at distance 1 or 2 in G. The Cartesian product of graphs G and H is denoted by G□ H. One of the most studied NP-hard problems is the graph coloring ...
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Given any graph G, its square graph G^2 has the same vertex set as G, with two vertices adjacent in G^2 whenever they are at distance 1 or 2 in G. The Cartesian product of graphs G and H is denoted by G□ H. One of the most studied NP-hard problems is the graph coloring problem. A method such as Genetic Algorithm (GA) is highly preferred to solve the Graph Coloring problem by researchers for many years. In this paper, we use the graph product approach to this problem. In fact, we prove that X((D(m',n')□D(m,n))^2)<= 10 for m,n => 3, where D(m, n) is the graph obtained by joining a vertex of the cycle C_m to a vertex of degree one of the paths P_n and X(G) is the chromatic number of the graph $G$.
Saeed Hashemi; Saeed Ayat
Abstract
The paper discusses the limitations of emotion recognition in Persian speech due to inefficient feature extraction and classification tools. To address this, we propose a new method for detecting hidden emotions in Persian speech with higher recognition accuracy. The method ...
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The paper discusses the limitations of emotion recognition in Persian speech due to inefficient feature extraction and classification tools. To address this, we propose a new method for detecting hidden emotions in Persian speech with higher recognition accuracy. The method involves four steps: preprocessing, feature description, feature extraction, and classification. The input signal is normalized in the preprocessing step using single-channel vector conversion and signal resampling. Feature descriptions are performed using Mel-Frequency Cepstral Coefficients and Spectro-Temporal Modulation techniques, which produce separate feature matrices. These matrices are then merged and used for feature extraction through a Convolutional Neural Network. Finally, a Support Vector Machine with a linear kernel function is used for emotion classification. The proposed method is evaluated using the Sharif Emotional Speech dataset and achieves an average accuracy of 80.9% in classifying emotions in Persian speech.
Control and Optimization
Ghasem Ahmadi; Mohammad Teshnehlab; Fahimeh Soltanian
Abstract
o enhance the performances of rough-neural networks (R-NNs) in the system identification, on the base of emotional learning, a new stable learning algorithm is developed for them. This algorithm facilitates the error convergence by increasing the memory depth of R-NNs. ...
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o enhance the performances of rough-neural networks (R-NNs) in the system identification, on the base of emotional learning, a new stable learning algorithm is developed for them. This algorithm facilitates the error convergence by increasing the memory depth of R-NNs. To this end, an emotional signal as a linear combination of identification error and its differences is used to achieve the learning laws. In addition, the error convergence and the boundedness of predictions and parameters of the model are proved. To illustrate the efficiency of proposed algorithm, some nonlinear systems including the cement rotary kiln are identified using this method and the results are compared with some other models.
Aziz Zobeidi; Abdolhossein Neysi; Tahmoures Sohrabi
Abstract
The aim of this paper is to assess and optimize the interaction of stakeholders in the lean management process via a dynamic game theory approach within the National Southern Oilfields Company. The present research is applied in terms of the purpose, and qualitative in terms of the data. Also, in terms ...
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The aim of this paper is to assess and optimize the interaction of stakeholders in the lean management process via a dynamic game theory approach within the National Southern Oilfields Company. The present research is applied in terms of the purpose, and qualitative in terms of the data. Also, in terms of its nature and the implementation method, it is based on foundational data. To form the framework of the optimal stakeholder interaction management strategy and measure its effects on lean management (including the dimensions of components and indicators, etc.), scientific and legal documents were studied, experts who utilized the Delphi technique were interviewed, relevant data were summarized and, focus groups and brainstorming were held based on the data foundation method. The findings revealed that the organization in charge of the game selected Stackelberg’s game instead of Nash's game, since compared to the latter, the former could produce more than twice when it came to total profit, production of suppliers and manufacturers, etc., thus showing a 100\% improvement compared to the cooperative games. In fact, in this study, the manufacturer under consideration preferred Stackelberg's game with the manufacturer acting as the leader and making decisions independent of the suppliers, gaining more profit and consequently more acceptance among people because of optimal production. In this model, three types of parameters played a key role in obtaining the outputs, the first of which was the cost of production. The rise in this parameter indicated the level of competition in profit and production. The second effective parameter was the coefficient of sensitivity to the level of demand for goods. An increase in this parameter caused a decrease in the profit and production of all members of the supply chain. Finally, the last effective parameter was the share of the base goods.
Fatemeh Babakordi; Tofigh Allahviranloo
Abstract
Solving fuzzy linear systems has been widely studied during the last decades. However, there are still many challenges to solving fuzzy linear equations, as most of the studies have used the principle of extension, which suffers from shortcomings such as the lack ...
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Solving fuzzy linear systems has been widely studied during the last decades. However, there are still many challenges to solving fuzzy linear equations, as most of the studies have used the principle of extension, which suffers from shortcomings such as the lack of solution, achieving solutions under very strong conditions, large support of the obtained solutions, inaccurate or even incorrect solutions due to not utilizing all the available information, complicated process and high computational load. These problems motivated us to present a fuzzy Cramer method for solving fuzzy linear equations, which uses arithmetic operations based on the Transmission Average (TA). In this study, fully fuzzy linear systems in the form of $ \tilde{A}\tilde{X}=\tilde{B} $, and dual fuzzy linear systems in the form of $ \tilde{A}\tilde{X}+\tilde{B}=\tilde{C}\tilde{X}+\tilde{D} $ are solved using the proposed fuzzy Cramer method, and numerical examples are provided to confirm the effectiveness and applicability of the proposed method.
Aria Soleimani Koorandeh; Jafar Fathali; Ahmad Nezakati; Morteza Nazari
Abstract
Location theory is an interstice field of optimization and operations research. In the classic location models, the goal is finding the location of one or more facilities such that some criteria such as transportation cost, the sum of distances passed by clients, total ...
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Location theory is an interstice field of optimization and operations research. In the classic location models, the goal is finding the location of one or more facilities such that some criteria such as transportation cost, the sum of distances passed by clients, total service time, and cost of servicing are minimized. The goal Weber location problem is a special case of location models that have been considered recently by some researchers. In this problem, the ideal is locating the facility in the distance $r_i$, from the $i$-th client. However, in most instances, the solution to this problem doesn't exist. Therefore, the minimizing sum of errors is considered. In the previous versions of the goal location problem, the penalty functions have been considered by some symmetric functions such as square and absolute errors of distances between clients and ideal point. In this paper, we consider the asymmetric linex function as the error function. We consider the case that the distances are measured by $L_p$ norm. Some iterative methods are used to solve the problem and the results are compared with some previously examined methods.
Control and Optimization
Mohamad Reza Ramezani-al; Samira Sabeti
Abstract
Guaranteed cost control (GCC) is an impressive method of controlling nonlinear systems, incredibly uncertain switched systems. Most of the recent studies of GCC on uncertain switched linear systems have been concerned with asymptotic stability analysis. In this paper, ...
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Guaranteed cost control (GCC) is an impressive method of controlling nonlinear systems, incredibly uncertain switched systems. Most of the recent studies of GCC on uncertain switched linear systems have been concerned with asymptotic stability analysis. In this paper, a new robust switching law for time-delay uncertain switched linear systems is designed. First, the switching law is designed, and second, a state-feedback controller based on Lyapunov-Krasovskii Functional (LKF) is designed. Also, using Linear Matrix Inequality (LMI) particular condition for the existence of a solution of obtained switching law and controller is achieved. Consequently, in the presented theorems, the exponential stability of the overall system under switching law and controller is analyzed. Finally, theoretical results are verified via presenting an example.
Ali Ansari Ardali
Abstract
In this paper, we develop general necessary optimality conditions of the KKT types for non-smooth continuous-time optimization problems with inequality constraints. The primary instrument in our study is the concept of a convexificator. Based on this concept, non-smooth ...
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In this paper, we develop general necessary optimality conditions of the KKT types for non-smooth continuous-time optimization problems with inequality constraints. The primary instrument in our study is the concept of a convexificator. Based on this concept, non-smooth versions of the Mangasarian-Fromovitz constraint qualification are presented. Then, we derive optimality conditions for this problem under weak assumptions. Indeed, the constraint functions and the objective function that exist in this problem are not necessarily differentiable or convex.
Sahar Vaseei; Mohammad Reza Zarrabi
Abstract
In view of the tremendous importance of patients’ stability in medical sciences, this paper addresses the application of a sliding mode control in medical devices. In doing so, we consider a nonlinear dynamic system that shows the mathematical model of the human immunodeficiency ...
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In view of the tremendous importance of patients’ stability in medical sciences, this paper addresses the application of a sliding mode control in medical devices. In doing so, we consider a nonlinear dynamic system that shows the mathematical model of the human immunodeficiency virus. This nonlinear model has three variable states: healthy cells, infected cells, and free viruses. The proposed controller displays the effect of medication on preventing the production of the virus and blocking the new infection. This controller ensures the stability of this dynamic system provided for HIV in the event of a bounded disturbance. The stability and convergence of this process are proved by the Lyapunov theorem. Finally, a numerical example is given to demonstrate the efficiency of the proposed method.
