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Papers by khatere Ghorbani-Moghadam

Research paper thumbnail of A new fuzzy model for multi-criteria project portfolio selection based on modified Kerre’s inequality

Research paper thumbnail of Fuzzy Linear Programming Problems: Models and Solutions

Iranian Conference on Fuzzy Systems, Jul 5, 2011

We investigate various types of fuzzy linear programming problems based on models and solution me... more We investigate various types of fuzzy linear programming problems based on models and solution methods. First, we review fuzzy linear programming problems with fuzzy decision variables and fuzzy linear programming problems with fuzzy parameters (fuzzy numbers in the definition of the objective function or constraints) along with the associated duality results. Then, we review the fully fuzzy linear programming problems with all variables and parameters being allowed to be fuzzy. Most methods used for solving such problems are based on ranking functions, α-cuts, using duality results or penalty functions. In these methods, authors deal with crisp formulations of the fuzzy problems. Recently, some heuristic algorithms have also been proposed. In these methods, some authors solve the fuzzy problem directly, while others solve the crisp problems approximately.

Research paper thumbnail of A Numerical Solution for Fractional Linear Quadratic Optimal Control Problems via Shifted Legendre Polynomials

International journal of applied and computational mathematics, Jun 14, 2022

Research paper thumbnail of Solving fuzzy number quadratic programming problems using a variableneighborhood search algorithm

Research paper thumbnail of Solving fuzzy quadratic programming problems based on ABS algorithm

Soft Computing, May 3, 2019

Recently, Ghanbari and Mahdavi-Amiri (Appl Math Model 34:3363-3375, 2010) gave the general compro... more Recently, Ghanbari and Mahdavi-Amiri (Appl Math Model 34:3363-3375, 2010) gave the general compromised solution of an L R fuzzy linear system using ABS algorithm. Here, using this general solution, we solve quadratic programming problems with fuzzy L R variables. We convert fuzzy quadratic programming problem to a crisp quadratic problem by using general solution of fuzzy linear system. By using this method, the crisp optimization problem has fewer variables in comparison with other methods, specially when rank of the coefficient matrix is full. Thus, solving the fuzzy quadratic programming problem by using our proposed method is computationally easier than the solving fuzzy quadratic programming problem by using ranking function. Also, we study the fuzzy quadratic programming problem with symmetric variables. We show that, in this case, the associate quadratic programming problem is a convex problem, and thus, we able to find the global optimal.

Research paper thumbnail of Optimization of NGL separation process with maximum quality and energy reduction

There are different methods to separate Natural Gas Liquid (NGL) from natural gas. One of these m... more There are different methods to separate Natural Gas Liquid (NGL) from natural gas. One of these methods is refrigeration. Temperature reduction occurs in the dew point adjustment part to condense the NGL. The aim of this paper is to present a methodology for optimizing the NGL production process by calculating the best quantity for some set-points (the temperature, pressure, and etc for some vessels or other equipment) and at the same time try to reduce the energy consumption. To do this, we use a hybrid algorithm including a Genetic Algorithm (NSGA II) and Artificial Neural Network system (ANN). Indeed, in this research, we define a multi-objective problem and try to investigate more solutions for finding the best pareto-front. Therefore, it needs more time to evaluate solutions, thus, using an ANN to evaluate the amount of objective functions according to different solutions, is faster than the simulation methods. We solve the defined multi-objective problem by using of NSGAII. In...

Research paper thumbnail of A Hybrid Simulated Annealing Algorithm for Solving Continuous Quadratic Programming for the Discrete Balanced Graph Partitioning Problem

Research paper thumbnail of Solving Graph Coloring Problem Using Graph Adjacency Matrix Algorithm

Research paper thumbnail of A new model for facility bus terminal location problem based on modified Kerre's inequality

Recently, Babaie-Kafaki et al. \cite{Babaie-Kafaki,Babaie-Kafakinew} have suggested a model for t... more Recently, Babaie-Kafaki et al. \cite{Babaie-Kafaki,Babaie-Kafakinew} have suggested a model for the fuzzy bus terminal location problem. Here, we propose a new optimization model by improving Babaie-Kafaki et al.'s model. In our model, we define new structures of neighborhoods. Also, we assume that the number of passengers corresponds to the fuzzy nodes. Using modified Kerre's inequality, we propose a new variable neighborhood search algorithm for solving a fuzzy bus terminal location problem. In our algorithm, we consider new types of neighborhoods to have a more realistic fuzzy model. The algorithm is tested on a variety of random generated large-scale fuzzy bus terminal location problems with fuzzy coefficients. In contrast of most existing method our proposed algorithm is solved fuzzy bus terminal location problem directly. The parameters of our proposed algorithm are set by irace package to ensure fair space. To demonstrate the performance of our method, we make a compa...

Research paper thumbnail of New Method for Solving Fuzzy LR Interval Linear Systems Using Least Squares Models

Fuzzy Information and Engineering

Research paper thumbnail of Least Squares Method for Solving Fuzzy LR Interval Algebraic Linear Systems

Fuzzy Information and Engineering

Research paper thumbnail of Research Guides: Memoirs and Memory in American History, Hist 1018: Other Gems

Research paper thumbnail of A Numerical Solution for Fractional Linear Quadratic Optimal Control Problems via Shifted Legendre Polynomials

International Journal of Applied and Computational Mathematics

Research paper thumbnail of A numerical indirect method for solving a class of optimal control problems

Bulletin of the Transilvania University of Brasov Series III Mathematics and Computer Science, 2021

In this paper, a numerical indirect method based on wavelets is proposedfor solving the general c... more In this paper, a numerical indirect method based on wavelets is proposedfor solving the general continuous time-variant linear quadratic optimal con-trol problem. The necessary optimality conditions are applied to convert themain problem into a boundary value problem, as a dynamic system. Thenew problem, using two discrete schemes, Legendre and Chebyshev wavelets,is changed to a system of algebraic equations. To demonstrate the efficiencyof the proposed method two analytical and two numerical examples are given

Research paper thumbnail of Tabu search and variable neighborhood search algorithms for solving interval bus terminal location problem

Applied Soft Computing, 2021

This capsule contains the codes for Tabu search and Variable neighborhood search algorithms for s... more This capsule contains the codes for Tabu search and Variable neighborhood search algorithms for solving bus terminal location problem that were described in the related paper accepted to "Applied soft computing" (journal reference: ASOC-D-20-01303R3). There are two main codes with name tabusearch.m and VNS.m. Sincerely

Research paper thumbnail of Solving fuzzy number linear programming problems using a variable neighborhood search algorithm

2018 6th Iranian Joint Congress on Fuzzy and Intelligent Systems (CFIS), 2018

We want to solve fuzzy linear programming problems with fuzzy coefficients in the objective funct... more We want to solve fuzzy linear programming problems with fuzzy coefficients in the objective function using a new variable neighborhood search algorithm. In our proposed algorithm, the local search is defined based on descent directions. We make use of our recently proposed modified Kerre's method for finding descent directions. The fuzzy optimization problem is solved directly, without changing it to a crisp program. We show the effectiveness of our proposed method in comparison with some available methods by using a non-parametric statistical sign test. The objective function values obtained by our proposed method turn to be more accurate the ones obtained by other methods.

Research paper thumbnail of Duality in bipolar triangular fuzzy number quadratic programming problems

2017 International Conference on Intelligent Sustainable Systems (ICISS), 2017

We discuss how to solve bipolar fuzzy quadratic programming problems, where the parameters are bi... more We discuss how to solve bipolar fuzzy quadratic programming problems, where the parameters are bipolar triangular fuzzy numbers, making use of linear ranking functions. Also, we explore some duality properties of bipolar triangular fuzzy number quadratic programming problem (BTFNQPP).

Research paper thumbnail of Solving fuzzy number quadratic programming problems using a variableneighborhood search algorithm

Research paper thumbnail of A genetic algorithm for solving bus terminal location problem using data envelopment analysis with multi-objective programming

Annals of Operations Research, 2021

Due to the urban expansion and population increasing, bus network design is an important problem ... more Due to the urban expansion and population increasing, bus network design is an important problem in the public transportation. Functional aspect of bus networks such as the fuel consumption and depreciation of buses and also spatial aspects of bus networks such as station and terminal locations or access rate to the buses are not proper conditions in most cities. Therefore, having an efficient method to evaluate the performance of bus lines by considering both functional and spatial aspects is essential. In this paper, we propose a new model for the bus terminal location problem using data envelopment analysis with multi-objective programming approach. In this model, we want to find efficient allocation patterns for assigning stations terminals, and also we investigate the optimal locations for deploying terminals. Hence, we use a genetic algorithm for solving our model. By using the simultaneous combination of data envelopment analysis and bus terminal location problem, two types of efficiencies are optimized: Spatial efficiency as measured by finding allocation patterns with the most serving amount and the terminals’ efficiency in serving demands as measured by the data envelopment analysis efficiency score for selected allocation patterns. This approach is useful when terminals’ efficiency is one of the important criteria in choosing the optimal terminals location for decision-makers.

Research paper thumbnail of A time variant multi-objective particle swarm optimization algorithm for solving fuzzy number linear programming problems using modified Kerre’s method

OPSEARCH, 2020

Recently, Ghanbari et al. (IEEE Transactions on Fuzzy Systems 27:1286–1294, 2019) have proposed m... more Recently, Ghanbari et al. (IEEE Transactions on Fuzzy Systems 27:1286–1294, 2019) have proposed modified Kerre’s method for comparison of LR fuzzy numbers. Here, we make use of the modified Kerre’s method to solve fuzzy linear programming problems with LR coefficients. In an approach to solve a fuzzy linear program with fuzzy LR coefficients, a bi-objective optimization problem is formulated. For the associated bi-objective optimization problem, we present a time variant multi-objective particle swarm optimization (TV-MOPSO) algorithm to compute the Pareto front, a set containing a large number of solutions. Contrary to methods that change the fuzzy optimization problem to a crisp problem by use of a ranking function, using modified Kerre’s method, the fuzzy optimization problem is solved directly, with no need for changing it to a crisp program. A comparative investigation using illustrative examples with triangular fuzzy coefficients show the effectiveness of the proposed algorithm.

Research paper thumbnail of A new fuzzy model for multi-criteria project portfolio selection based on modified Kerre’s inequality

Research paper thumbnail of Fuzzy Linear Programming Problems: Models and Solutions

Iranian Conference on Fuzzy Systems, Jul 5, 2011

We investigate various types of fuzzy linear programming problems based on models and solution me... more We investigate various types of fuzzy linear programming problems based on models and solution methods. First, we review fuzzy linear programming problems with fuzzy decision variables and fuzzy linear programming problems with fuzzy parameters (fuzzy numbers in the definition of the objective function or constraints) along with the associated duality results. Then, we review the fully fuzzy linear programming problems with all variables and parameters being allowed to be fuzzy. Most methods used for solving such problems are based on ranking functions, α-cuts, using duality results or penalty functions. In these methods, authors deal with crisp formulations of the fuzzy problems. Recently, some heuristic algorithms have also been proposed. In these methods, some authors solve the fuzzy problem directly, while others solve the crisp problems approximately.

Research paper thumbnail of A Numerical Solution for Fractional Linear Quadratic Optimal Control Problems via Shifted Legendre Polynomials

International journal of applied and computational mathematics, Jun 14, 2022

Research paper thumbnail of Solving fuzzy number quadratic programming problems using a variableneighborhood search algorithm

Research paper thumbnail of Solving fuzzy quadratic programming problems based on ABS algorithm

Soft Computing, May 3, 2019

Recently, Ghanbari and Mahdavi-Amiri (Appl Math Model 34:3363-3375, 2010) gave the general compro... more Recently, Ghanbari and Mahdavi-Amiri (Appl Math Model 34:3363-3375, 2010) gave the general compromised solution of an L R fuzzy linear system using ABS algorithm. Here, using this general solution, we solve quadratic programming problems with fuzzy L R variables. We convert fuzzy quadratic programming problem to a crisp quadratic problem by using general solution of fuzzy linear system. By using this method, the crisp optimization problem has fewer variables in comparison with other methods, specially when rank of the coefficient matrix is full. Thus, solving the fuzzy quadratic programming problem by using our proposed method is computationally easier than the solving fuzzy quadratic programming problem by using ranking function. Also, we study the fuzzy quadratic programming problem with symmetric variables. We show that, in this case, the associate quadratic programming problem is a convex problem, and thus, we able to find the global optimal.

Research paper thumbnail of Optimization of NGL separation process with maximum quality and energy reduction

There are different methods to separate Natural Gas Liquid (NGL) from natural gas. One of these m... more There are different methods to separate Natural Gas Liquid (NGL) from natural gas. One of these methods is refrigeration. Temperature reduction occurs in the dew point adjustment part to condense the NGL. The aim of this paper is to present a methodology for optimizing the NGL production process by calculating the best quantity for some set-points (the temperature, pressure, and etc for some vessels or other equipment) and at the same time try to reduce the energy consumption. To do this, we use a hybrid algorithm including a Genetic Algorithm (NSGA II) and Artificial Neural Network system (ANN). Indeed, in this research, we define a multi-objective problem and try to investigate more solutions for finding the best pareto-front. Therefore, it needs more time to evaluate solutions, thus, using an ANN to evaluate the amount of objective functions according to different solutions, is faster than the simulation methods. We solve the defined multi-objective problem by using of NSGAII. In...

Research paper thumbnail of A Hybrid Simulated Annealing Algorithm for Solving Continuous Quadratic Programming for the Discrete Balanced Graph Partitioning Problem

Research paper thumbnail of Solving Graph Coloring Problem Using Graph Adjacency Matrix Algorithm

Research paper thumbnail of A new model for facility bus terminal location problem based on modified Kerre's inequality

Recently, Babaie-Kafaki et al. \cite{Babaie-Kafaki,Babaie-Kafakinew} have suggested a model for t... more Recently, Babaie-Kafaki et al. \cite{Babaie-Kafaki,Babaie-Kafakinew} have suggested a model for the fuzzy bus terminal location problem. Here, we propose a new optimization model by improving Babaie-Kafaki et al.'s model. In our model, we define new structures of neighborhoods. Also, we assume that the number of passengers corresponds to the fuzzy nodes. Using modified Kerre's inequality, we propose a new variable neighborhood search algorithm for solving a fuzzy bus terminal location problem. In our algorithm, we consider new types of neighborhoods to have a more realistic fuzzy model. The algorithm is tested on a variety of random generated large-scale fuzzy bus terminal location problems with fuzzy coefficients. In contrast of most existing method our proposed algorithm is solved fuzzy bus terminal location problem directly. The parameters of our proposed algorithm are set by irace package to ensure fair space. To demonstrate the performance of our method, we make a compa...

Research paper thumbnail of New Method for Solving Fuzzy LR Interval Linear Systems Using Least Squares Models

Fuzzy Information and Engineering

Research paper thumbnail of Least Squares Method for Solving Fuzzy LR Interval Algebraic Linear Systems

Fuzzy Information and Engineering

Research paper thumbnail of Research Guides: Memoirs and Memory in American History, Hist 1018: Other Gems

Research paper thumbnail of A Numerical Solution for Fractional Linear Quadratic Optimal Control Problems via Shifted Legendre Polynomials

International Journal of Applied and Computational Mathematics

Research paper thumbnail of A numerical indirect method for solving a class of optimal control problems

Bulletin of the Transilvania University of Brasov Series III Mathematics and Computer Science, 2021

In this paper, a numerical indirect method based on wavelets is proposedfor solving the general c... more In this paper, a numerical indirect method based on wavelets is proposedfor solving the general continuous time-variant linear quadratic optimal con-trol problem. The necessary optimality conditions are applied to convert themain problem into a boundary value problem, as a dynamic system. Thenew problem, using two discrete schemes, Legendre and Chebyshev wavelets,is changed to a system of algebraic equations. To demonstrate the efficiencyof the proposed method two analytical and two numerical examples are given

Research paper thumbnail of Tabu search and variable neighborhood search algorithms for solving interval bus terminal location problem

Applied Soft Computing, 2021

This capsule contains the codes for Tabu search and Variable neighborhood search algorithms for s... more This capsule contains the codes for Tabu search and Variable neighborhood search algorithms for solving bus terminal location problem that were described in the related paper accepted to "Applied soft computing" (journal reference: ASOC-D-20-01303R3). There are two main codes with name tabusearch.m and VNS.m. Sincerely

Research paper thumbnail of Solving fuzzy number linear programming problems using a variable neighborhood search algorithm

2018 6th Iranian Joint Congress on Fuzzy and Intelligent Systems (CFIS), 2018

We want to solve fuzzy linear programming problems with fuzzy coefficients in the objective funct... more We want to solve fuzzy linear programming problems with fuzzy coefficients in the objective function using a new variable neighborhood search algorithm. In our proposed algorithm, the local search is defined based on descent directions. We make use of our recently proposed modified Kerre's method for finding descent directions. The fuzzy optimization problem is solved directly, without changing it to a crisp program. We show the effectiveness of our proposed method in comparison with some available methods by using a non-parametric statistical sign test. The objective function values obtained by our proposed method turn to be more accurate the ones obtained by other methods.

Research paper thumbnail of Duality in bipolar triangular fuzzy number quadratic programming problems

2017 International Conference on Intelligent Sustainable Systems (ICISS), 2017

We discuss how to solve bipolar fuzzy quadratic programming problems, where the parameters are bi... more We discuss how to solve bipolar fuzzy quadratic programming problems, where the parameters are bipolar triangular fuzzy numbers, making use of linear ranking functions. Also, we explore some duality properties of bipolar triangular fuzzy number quadratic programming problem (BTFNQPP).

Research paper thumbnail of Solving fuzzy number quadratic programming problems using a variableneighborhood search algorithm

Research paper thumbnail of A genetic algorithm for solving bus terminal location problem using data envelopment analysis with multi-objective programming

Annals of Operations Research, 2021

Due to the urban expansion and population increasing, bus network design is an important problem ... more Due to the urban expansion and population increasing, bus network design is an important problem in the public transportation. Functional aspect of bus networks such as the fuel consumption and depreciation of buses and also spatial aspects of bus networks such as station and terminal locations or access rate to the buses are not proper conditions in most cities. Therefore, having an efficient method to evaluate the performance of bus lines by considering both functional and spatial aspects is essential. In this paper, we propose a new model for the bus terminal location problem using data envelopment analysis with multi-objective programming approach. In this model, we want to find efficient allocation patterns for assigning stations terminals, and also we investigate the optimal locations for deploying terminals. Hence, we use a genetic algorithm for solving our model. By using the simultaneous combination of data envelopment analysis and bus terminal location problem, two types of efficiencies are optimized: Spatial efficiency as measured by finding allocation patterns with the most serving amount and the terminals’ efficiency in serving demands as measured by the data envelopment analysis efficiency score for selected allocation patterns. This approach is useful when terminals’ efficiency is one of the important criteria in choosing the optimal terminals location for decision-makers.

Research paper thumbnail of A time variant multi-objective particle swarm optimization algorithm for solving fuzzy number linear programming problems using modified Kerre’s method

OPSEARCH, 2020

Recently, Ghanbari et al. (IEEE Transactions on Fuzzy Systems 27:1286–1294, 2019) have proposed m... more Recently, Ghanbari et al. (IEEE Transactions on Fuzzy Systems 27:1286–1294, 2019) have proposed modified Kerre’s method for comparison of LR fuzzy numbers. Here, we make use of the modified Kerre’s method to solve fuzzy linear programming problems with LR coefficients. In an approach to solve a fuzzy linear program with fuzzy LR coefficients, a bi-objective optimization problem is formulated. For the associated bi-objective optimization problem, we present a time variant multi-objective particle swarm optimization (TV-MOPSO) algorithm to compute the Pareto front, a set containing a large number of solutions. Contrary to methods that change the fuzzy optimization problem to a crisp problem by use of a ranking function, using modified Kerre’s method, the fuzzy optimization problem is solved directly, with no need for changing it to a crisp program. A comparative investigation using illustrative examples with triangular fuzzy coefficients show the effectiveness of the proposed algorithm.