Search
189 articles for “mathematical optimization”
-
Nonlinear Mathematical Modelling and Adaptive Optimization of Nuclear Reactor Thermal-Hydraulic Systems for Safe and Efficient Operation
Abstract: Advanced nuclear reactors are characterized by strongly coupled nonlinear interactions among neutron kinetics, reactor power, fuel temperature, coolant temperature, reactivity, and coolant flow. Accurate mathematical representation of these interactions is essential for analysing reactor stability, thermal behaviour, and safe operating conditions. This study develops a nonlinear mathematical framework for coupled neutronic–thermal reactor dynamics by integrating point-reactor kinetics, delayed-neutron precursor equations, fuel and coolant energy balances, and temperature- dependent reactivity feedback. …
Published in Journal of Thermal Engineering and Applications · Vol. 16, Issue 2, 2026 Read article
-
Multi-directional Wind Turbine System Optimisation and Mathematical Modelling for India’s Sustainable Wind Energy Development
Abstract: The global trend towards green energy usage is expanding. Wind power is clean and sustainable and may compete with fossil fuels in the electricity market. This project's manufacturing cost must match fossil fuels or other energy sources to be competitive. The main investment in wind generation is in machinery and infrastructure. Wind power becomes competitive by lowering energy costs through turbine design, building, and operation. Understanding wind turbine activity over …
Published in International Journal of Mechanical Dynamics and Systems Analysis · Vol. 1, Issue 1, 2023 · pp. 32–42 Read article
-
How Mathematical Modelling and Optimisation Guide Spacecraft Trajectories
Abstract: Spacecraft trajectory design is fundamentally a mathematical problem involving the prediction, evaluation and optimisation of motion under complex physical constraints. This article explores how mathematical modelling and optimisation are used to determine feasible and efficient trajectories for spacecraft. Beginning with the simplified two-body model, the article introduces the differential equation governing gravitational motion and explains how initial position and velocity determine the subsequent trajectory. It then examines how trajectory design …
Published in Journal of Aerospace Engineering & Technology · Vol. 16, Issue 3, 2026 Read article
-
Mathematical Modeling and Multi-Objective Optimization of RIS-Assisted 6G Wireless Communication Systems
Abstract: Reconfigurable Intelligent Surfaces (RIS) have become a potential technology for sixth generation (6G) wireless communication because they improve network coverage, spectrum efficiency, and energy efficiency while allowing programmable control of electromagnetic propagation. This study presents a comprehensive mathematical modeling and multi-objective optimization framework for RIS-assisted 6G wireless communication systems. The proposed model jointly considers the wireless channel, RIS reflection coefficients, transmit power, beamforming vectors, user association, achievable data rate, energy …
Published in Recent Trends in Electronics Communication Systems · Vol. 13, Issue 2, 2026 Read article
-
Design, Mathematical Modeling, and Dynamic Optimization of a Speed Breaker-Based Vehicular Kinetic Energy Harvester
Abstract: Decentralized energy harvesting methods are becoming more popular due to rapid urbanization and the rising need for sustainable infrastructure. The road-embedded vehicle kinetic energy harvester (VKEH) design, mathematical modelling, and experimental validation are presented in this work. This paper presents the structural engineering, continuum mathematical modeling, and experimental validation of an optimized road-embedded vehicular kinetic energy harvester (VKEH). The mechanism utilizes a spring- loaded, low-friction rack-and-pinion transmission coupled with a …
Published in International Journal of Electrical Power and Machine Systems · Vol. 4, Issue 2, 2026 Read article
-
Mathematical Models in Information Technology for Sustainable Development: A Review of Applications and Challenges
Abstract: Due to more ecological challenges, speedy urbanization, and boost in the demand for natural resources, sustainable development has become a main concern on a global level. Information technology (IT) supports sustainability through the ability to collect, investigate and make decisions based on large amounts of data efficiently. Mathematical models are critical tools for the analysis of complex systems, optimization of resource use and predictions of future trends. In this review …
Published in International Journal of Sustainability · Vol. 3, Issue 2, 2026 · pp. 63–73 Read article
-
Perfect Numbers: Computational and Technical Exploration
Abstract: This paper explores perfect numbers, by getting into their historical significance and computational journey from ancient times to the present day. The discussion covers the mathematical definition of perfect numbers, their importance in number theory, and the major milestones in their discovery. Also, it elaborates how the coders are using their skillsets to identify new perfect numbers and the transforming outcome of getting more and more perfect numbers found. By …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 13, Issue 1, 2026 · pp. 9–16 Read article
-
Optimum Mixture Proportioning of Sawdust Ash Blended Sand-Stone Dust Blocks Using Scheffe’s Regression Theory
Abstract: This study carried out an experimental investigation on the compressive strength of sawdust ash blended sand-stone dust block of size 450 x 225 x 150 mm using Scheffe’s (5, 2) regression theory. The compressive strength of sawdust ash blended sand-stone dust blocks obtained based on fifteen trial mix ratios were used to develop the mathematical model while the results of the compressive strength values obtained based on the additional fifteen …
Published in Journal of Construction Engineering, Technology & Management · Vol. 13, Issue 2, 2023 · pp. 33–40 Read article
-
The Application of Python Programming Language in the Automation of a Mathematical Model for Well Trajectory Selection Optimisation for a Given Field
Abstract: Directional drilling plays a major role in the exploration and recovery of hydrocarbons. There are three basic trajectories that a well may follow. They include; Build-and-Hold, Build-Hold-andDrop and Continuous-Build Trajectories. The selection of a trajectory is usually based on experience/trial and error approach and may be associated with errors. This work has therefore developed a mathematical model that optimised the automatic selection of a well trajectory type for a given …
Published in Journal of Petroleum Engineering & Technology · Vol. 12, Issue 3, 2022 · pp. 1–9 Read article
-
Mathematical Model of Cancer Growth and Tumor-Immune-Host Cell Interactions with Chemotherapy and Optimal Treatment Strategies
Abstract: This study investigates tumor-immune interactions within the context of chemotherapy using a mathematical model. The model’s solutions are proven to exist, be unique, non-negative, and bounded. Both untreated and chemotherapy-treated systems are examined for equilibrium points, with local stability analyzed using the Routh–Hurwitz criterion and global stability established through a Lyapunov function. A quadratic optimal control strategy is applied to minimize tumor cells while limiting chemotherapy's side effects on healthy …
Published in International Journal of Biomedical Innovations and Engineering · Vol. 4, Issue 2, 2026 · pp. 8–18 Read article
-
Nonlinear Mathematical Modelling of Next-Generation Wireless Communication Systems for Adaptive Network Optimization
Abstract: Next-generation wireless communication systems operate under highly dynamic conditions characterized by nonlinear channel behaviour, time-varying interference, heterogeneous traffic, mobility, fading, and rapidly changing resource requirements. Conventional linear network models are often inadequate for representing the coupled relationships among channel quality, transmit power, bandwidth allocation, interference, latency, and energy consumption. This study develops a nonlinear mathematical modelling framework for adaptive optimization of wireless communication networks. The proposed formulation represents the network …
Published in Recent Trends in Electronics Communication Systems · Vol. 13, Issue 2, 2026 Read article
-
A New Framework for Optimal Hesitation Pattern Mining
Abstract: AbstractIn mathematical optimization, the firefly algorithm is a metaheuristic approach. It has been proposed by Xin-She Yang and inspired by the flashing behavior of fireflies. Proposed research used Firefly Algorithm for discovering the best Association rules. In this species, it is always the female who glows, and only the male has wings. In other species, Luciola lusitanica, both male and female firefly may emit light and both have wings. If …
Published in Journal of Communication Engineering & Systems · Vol. 7, Issue 2, 2017 · pp. 34–41 Read article
-
Applications of Mathematical Modelling for Sustainable Development
Abstract: Sustainable development is an urgent global challenge that requires innovative solutions to address complex socio-environmental challenges while ensuring the well-being of current and future generations. Mathematical modelling has evolved into an indispensable tool, providing valuable insights for comprehending, evaluating, and enhancing systems across diverse domains. By harnessing the power of mathematical modelling, we can support the transformative changes needed to build a sustainable future. In this paper, I examine the …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 10, Issue 2, 2023 · pp. 1–5 Read article
-
Advanced Mathematical Modelling of Nanoscale Semiconductor Devices for Low-Power Microelectronic Applications
Abstract: With the ongoing scaling down of semiconductor devices, there is an increasing need for accurate mathematical models of electrostatic control, carrier transport, leakage current, and power consumption at the nanometer scale. As the sizes of semiconductors continue to decrease, there is a growing need for accurate mathematical models of electrostatic control, carrier transport, leakage current, and power consumption at the nanometer scale. In this work, a common mathematical modelling approach …
Published in Journal of Microelectronics and Solid State Devices · Vol. 13, Issue 2, 2026 Read article
-
Energy-Efficient Parallel Computing for Edge Devices: Techniques, Challenges, and Emerging Research Directions
Abstract: Edge computing brings computation closer to data sources, which supports low-latency applications but places substantial demands on energy-constrained and heterogeneous devices. Parallel execution across multicore CPUs, GPUs, FPGAs, and other accelerators can improve responsiveness, but it also complicates scheduling, power management, and resource allocation. This review examines six closely related technique families: energy-aware task scheduling, dynamic voltage and frequency scaling (DVFS), task offloading and resource allocation, artificial-intelligence-based optimization, hardware acceleration, …
Published in Recent Trends in Parallel Computing · Vol. 13, Issue 2, 2026 · pp. 35–41 Read article
-
Energy-Aware Task Offloading in 6G-Enabled Mobile Edge Computing Environments
Abstract: The emergence of sixth-generation (6G) wireless communication networks is expected to revolutionize future mobile systems by enabling ultra-low latency communication, extremely high data rates, massive connectivity, and intelligent network management. In parallel, mobile edge computing (MEC) has gained significant attention as a promising paradigm that brings computational resources closer to end users, thereby alleviating network congestion and reducing end-to-end service delays. Despite these advantages, the rapid growth of computation-intensive and …
Published in International Journal of Mobile Computing Technology · Vol. 4, Issue 1, 2026 · pp. 14–19 Read article
-
A Review on Transformer Design and Innovative Aspects of Optimization
Abstract: Transformer is the most costly and important component of power system. It is more than 100 years old technology. Technology has not changed drastically but the challenges are continuous increase in size and rating, competition in global market, accurate prediction of performance parameters, updating of design baseline and many more. Transformer design optimization (TDO) is a complex task in which designer have to ensure that the imposed specifications are met, …
Published in Journal of Instrumentation Technology & Innovations · Vol. 6, Issue 1, 2016 · pp. 10–22 Read article
-
Solving Optimization Problems Using the Graphical Method of Linear Programming
Abstract: Linear programming is a mathematical optimization technique used for maximizing or minimizing a linear objective function while satisfying a set of linear constraints. This method plays a crucial role in various industries, including manufacturing, finance, transportation, and supply chain management. Among the different approaches to solving linear programming problems, the graphical method provides a simple and intuitive way to visualize and solve problems involving two decision variables. By plotting constraints …
Published in Research & Reviews : Journal of Statistics · Vol. 14, Issue 2, 2025 · pp. 01–08 Read article
-
Predicting and Prohibiting the Risk of Heart Failure Using Machine Learning
Abstract: It is challenging to estimate the likelihood of complex chronic disease while treating conditions like heart failure. The application of machine learning, an area of artificial intelligence, in cardiovascular care is growing quickly. In essence, it defines how computers classify and understand data, or choose a task with or without human intervention. The theoretical underpinnings of machine learning are models that accept input data (such as images or text) and …
Published in International Journal of Computer Science Languages · Vol. 1, Issue 1, 2023 · pp. 15–20 Read article
-
Mathematical Modelling and Comprehensive Review on the Application of Evolutionary Strategies in Design Optimization of Shell and Tube Heat Exchangers
Abstract: This review article presents the application of different evolutionary algorithms which have been utilized for design and optimization of shell and tube heat exchangers in the last decade. The traditional trial and error design approaches can be replaced by such evolutionary algorithms. These evolutionary techniques do not need information of derivatives and hence it can be implemented in various heat exchangers geometry without much complication. Many such EA’s are successfully …
Published in Trends in Mechanical Engineering & Technology · Vol. 7, Issue 3, 2017 · pp. 67–78 Read article