Control and Optimization in Applied Mathematics
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An Adaptive Time-Stepping Algorithm to Solve a Stochastic Lotka-Volterra Competition System with Time-Variable Delays
(Payame Noor UniversityPayame Noor University, 2024-12-01)This paper introduces a variable step size strategy for a stochastic time-delays Lotka-Volterra competition system. This adaptive strategy utilizes the Milstein method for numerical solutions. It employs two local error ...
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Abadie Type Constraint Qualifications and Optimality Conditions for Nonsmooth Multi-Objective Semi-Infinite Problems
(Payame Noor UniversityPayame Noor University, 2024-12-01)This paper introduces several Abadie-type constraint qualifications and derives necessary optimality conditions in the Karush-Kuhn-Tucker for both weakly efficient solutions and efficient solutions of a nonsmooth ...
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Control and Synchronization of the Genesio-Tesi Chaotic System: A Contraction Analysis-Based Graphical Method
(Payame Noor UniversityPayame Noor University, 2024-12-01)In this paper, we use a graphical algorithm to control and synchronization of a chaotic system. Most of the controllers designed for synchronizing chaotic systems are complex, but the controllers designed using ...
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Optimal Adaptive Sliding Mode Control for a Class of Nonlinear Affine Systems
(Payame Noor UniversityPayame Noor University, 2024-12-01)This paper presents an optimal robust adaptive technique for controlling a certain class of uncertain nonlinear affine systems. The proposed approach combines sliding mode control, a linear quadratic regulator for ...
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Optimizing Banking Network Resilience to Exchange Rate Shocks
(Payame Noor UniversityPayame Noor University, 2024-12-01)This paper explores the resilience optimization of Iran's banking sector in the face of exchange rate shocks---critical macroeconomic disturbances with extensive consequences. We develop a multi-sector macro-dynamic ...
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A New Approach to Control of Legged Robots
(Payame Noor UniversityPayame Noor University, 2024-12-01)Designing dynamically stable controllers for a robot with 2r legs is challenging due to its complex hybrid dynamics (r>1). This paper proposes a technique to decompose the robot into r biped robots, where the influence of ...
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Mordukhovich Normal Cone of Optimization Problems with Switching Constraints
(Payame Noor UniversityPayame Noor University, 2024-12-01)This paper examines normal cones of the feasible set for mathematical programming problems with switching constraints (MPSC). Functions involved are assumed to be continuously differentiable. The primary focus is on ...
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Impact of Carrier Relaxation Time on the Performance of Quantum Dot Laser with Planar Cavities Using Artificial Neural Networks
(Payame Noor UniversityPayame Noor University, 2024-12-01)This study presents a model of a quantum dot laser with a planar cavity, employing numerical methods and artificial neural networks for simulation purposes. The investigation focuses on the influence of critical parameters, ...
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On Constraint Qualifications and Optimality Conditions in Nonsmooth Semi-infinite Optimization
(Payame Noor UniversityPayame Noor University, 2024-12-01)The primary objective of this paper is to enhance several well-known geometric constraint qualifications and necessary optimality conditions for nonsmooth semi-infinite optimization problems (SIPs). We focus on defining ...
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New Soliton Solutions to the Coupled Conformable Time-Fractional Boussinesq Equation
(Payame Noor UniversityPayame Noor University, 2024-12-01)In this study, we explore soliton solutions for the conformable time-fractional Boussinesq equation utilizing the three-wave method. To validate the precision of our findings, we discuss specific special cases by ...
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A Multi-Objective Model for Humanitarian Logistics Model During an Earthquake Crisis: A Case Study of Iran
(Payame Noor UniversityPayame Noor University, 2024-12-01)Natural disasters, such as earthquakes, result in significant financial and human losses. Rescue operations play a crucial role in managing such crises. However, the lack of precise information and the damage or ...
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A Sub-Ordinary Approach to Achieve Near-Exact Solutions for a Class of Optimal Control Problems
(Payame Noor UniversityPayame Noor University, 2024-12-01)This paper explores the advantages of Sub-ODE strategy in deriving near-exact solutions for a class of linear and nonlinear optimal control problems (OCPs) that can be transformed into nonlinear partial differential ...
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Optimality Conditions for Properly Efficient Solutions of Nonsmooth Multiobjective GSIP
(Payame Noor UniversityPayame Noor University, 2024-05-01)This paper aims to establish first-order necessary optimality conditions for non-smooth multi-objective generalized semi-infinite programming problems. These problems involve inequality constraints whose index set depends ...
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A Hybrid Floyd-Warshall and Graph Coloring Algorithm for Finding the Smallest Number of Colors Needed for a Distance Coloring of Graphs
(Payame Noor UniversityPayame Noor University, 2024-05-01)Graph coloring is a crucial area of research in graph theory, with numerous algorithms proposed for various types of graph coloring, particularly graph p-distance coloring. In this study, we employ a recently introduced ...
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Solving Linear Fractional Programming Problems in Uncertain Environments: A Novel Approach with Grey Parameters
(Payame Noor UniversityPayame Noor University, 2024-05-01)Fractional programming is a significant nonlinear planning tool within operation research. It finds applications in diverse domains such as resource allocation, transportation, production programming, performance ...
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Solving Fractional Optimal Control-Affine Problems via Fractional-Order Hybrid Jacobi Functions
(Payame Noor UniversityPayame Noor University, 2024-05-01)This paper proposes and analyzes an applicable approach for numerically computing the solution of fractional optimal control-affine problems. The fractional derivative in the problem is considered in the sense of Caputo. ...
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An Efficient Variable Neighborhood Search for Solving Multi-Criteria Project Portfolio Selection
(Payame Noor UniversityPayame Noor University, 2024-05-01)Project portfolio selection is a critical challenge for many organizations as they often face budget constraints that limit their ability to support all available projects. To address this issue, organizations seek to ...
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Optimizing Supply Chain Design for Sustainability and Reliability: A Comparative Study of Augmented Epsilon and Normalized Normal Constraint Methods
(Payame Noor UniversityPayame Noor University, 2024-05-01)Integrating sustainability and reliability represents a synergistic approach that can be explored through the problem of a closed-loop supply chain network design (SCND). This study is conducted in three stages: ...
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Big Data Analytics and Data Mining Optimization Techniques for Air Traffic Management
(Payame Noor UniversityPayame Noor University, 2024-05-01)With the advancements in science and technology, the industrial and aviation sectors have witnessed a significant increase in data. A vast amount of data is generated and utilized continuously. It is imperative to ...
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Dynamical Behaviour of Fractional Order SEIR Mathematical Model for Infectious Disease Transmission
(Payame Noor UniversityPayame Noor University, 2024-05-01)This paper presents an extension of the SEIR mathematical model for infectious disease transmission to a fractional-order model. The model is formulated using the Caputo derivative of order α ∈ (0, 1]. We study the ...
