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189 articles for “mathematical optimization”
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A Comprehensive Study on Improving Contact Lens Performance Through Various Approaches
Abstract: Contact lenses improve vision quality by correcting refractive errors and thus provide a convenient alternative to traditional eyeglasses. Apart from vision enhancement, they have multiple applications in cosmetics, drug delivery, and therapeutic use. The performance of these lenses depends on various factors such as material, design, fitting, and interaction between the lens and the eye. The selection of appropriate materials is crucial for maintaining optimal eye health. Properties like oxygen …
Published in Journal of Polymer & Composites · Vol. 13, Issue 3, 2025 · pp. 211–222 Read article
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Optimizing Cellular Manufacturing Systems: Minimizing Production Time with Collaborative Robots (Cobots) using PSO
Abstract: This study focuses on the implementation of cobots in a cellular manufacturing system to minimize production time. The use of cobots, collaborative robots capable of working alongside human operators, aims to increase efficiency and reduce manual labor in the manufacturing process. The mathematical model presented in this research evaluates the impact of cobots on production time by considering various factors, including task times, machine setup, inspection, waiting, and idle times. …
Published in International Journal of Industrial and Product Design Engineering · Vol. 1, Issue 1, 2023 · pp. 22–27 Read article
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Simultaneous Optimization of Multiple Performance Characteristics in MIG Welding for Machining AISI-304 Stainless Steel by Weighted Principle Component Analysis
Abstract: The effect of MIG welding parameters specifically Welding current, Voltage, Gas flow rate and Plate thickness during welding of AISI-304 stainless steel Material on MIG welding machine at different level presents in this work. All the welding parameters are modeled using Taguchi-based Principle Component Analysis (PCA). Principal component is used as multiple responses optimizing technique to drive optimal solution, which gives the overall quality index in experimental process, and finally …
Published in Journal of Experimental & Applied Mechanics · Vol. 9, Issue 3, 2018 · pp. 77–85 Read article
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Prediction and Optimization of Laser Transformation Hardening Parameters of Unalloyed Titanium Using RSM
Abstract: The optimization abilities in Design-expert software were used to optimize the laser phase transformation hardened bead profile parameters, i.e., to maximize hardened bead width (HBW) and to minimize, the heat input (HI), hardened depth (HD) and angle of entry of hardened bead profile (AEHB) in continuous wave (CW) Nd:YAG laser transformation hardening of unalloyed titanium sheet with 1.6 mm thickness. The mathematical models were developed from Response Surface Methodology (RSM) …
Published in Journal of Materials & Metallurgical Engineering · Vol. 5, Issue 1, 2015 · pp. 1–11 Read article
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Dynamic Cellular Manufacturing System Design for Automated Factories
Abstract: In this paper, an integrated mathematical model of the multi-period cell formation in a dynamic cellular manufacturing system (DCMS) is proposed with the aim of getting the optimal cost for it. In DCMS, the formed cells in the current period may not be optimal for the next period, so the reconfiguration of the cell is needed, thus we have a tendency to use DCMS. The paper examines the influence of …
Published in Journal of Production Research & Management · Vol. 4, Issue 2, 2014 · pp. 12–30 Read article
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Optimizating Pitting Corrosion in 3.5 N NaCl Medium of Pulsed Current Micro Plasma Arc Welded AISI 304L Sheets Using Genetic Algorithm
Abstract: Austenitic stainless steel sheets have gathered wide acceptance in the fabrication of components, which require high temperature resistance and corrosion resistance, such as metal bellows used in expansion joints in aircraft, aerospace and petroleum industry. In case of single pass welding of thinner sections of this alloy, pulsed current micro plasma arc welding (PCMPAW) was found beneficial due to its advantages over the conventional continuous current process. This paper highlights …
Published in Journal of Materials & Metallurgical Engineering · Vol. 2, Issue 1-3, 2012 · pp. 132–142 Read article
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OPTIMIZATING FUSION ZONE GRAIN SIZE, HARDNESS AND TENSILE STRENGTH OF MICRO PLASMA ARC WELDED TITANIUM ( Ti-6Al-4V) ALLOY USING GREY RELATIONAL ANALYSIS
Abstract: In the present work, Titanium (Ti-6Al-4V) alloy sheet of 0.5 mm thick is butt welded using Micro Plasma Arc Welding. Welding input parameters like peak current, base current, pulse rate and pulse width are considered and output responses like fusion zone grain size, hardness and ultimate tensile strength of the welded joint are considered. Taguchi L25 orthogonal matrix is adopted by considering four factors and five levels of weld input …
Published in Trends in Mechanical Engineering & Technology · Vol. 8, Issue 3, 2018 Read article
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Optimizing Fusion Zone Grain Size, Hardness and Tensile Strength of Micro Plasma Arc Welded Titanium (Ti-6Al-4V) Alloy Using Grey Relational Analysis
Abstract: In the present work, Titanium (Ti-6Al-4V) alloy sheet of 0.5 mm thick is butt welded using Micro Plasma Arc Welding. Welding input parameters like peak current, base current, pulse rate and pulse width are considered and output responses like fusion zone grain size, hardness and ultimate tensile strength of the welded joint are considered. Taguchi L25 orthogonal matrix is adopted by considering four factors and five levels of weld input …
Published in Journal of Mechatronics and Automation · Vol. 5, Issue 2, 2018 · pp. 21–33 Read article
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Vibrational Wind Turbine Design
Abstract: This work focuses on the study and analysis of bladeless wind turbines (BWT) as an alternative to operating vertical-axis wind turbines (VAWT) and horizontal-axis wind turbines (HAWT). A mathematical analysis of the BWT oscillation under wind force allows the development of specific mathematical expressions for the oscillation speed and BWT mast displacement at any height. The oscillation movement is submitted to a Strouhal constant number condition, resulting in an algorithm …
Published in Journal of Offshore Structure and Technology · Vol. 11, Issue 3, 2024 · pp. 32–45 Read article
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Kinematic and Dynamic Modelling of a 6-DOF Robotic Manipulator for Industrial Applications
Abstract: The rapid evolution of industrial automation has intensified the need for highly accurate, flexible, and intelligent robotic systems capable of operating in dynamic and demanding environments. Among these systems, six-degree-of-freedom (6-DOF) robotic manipulators have emerged as a versatile solution due to their superior dexterity, large workspace, and human-arm-like motion capabilities. This research focuses on the comprehensive kinematic and dynamic modelling of a 6-DOF robotic manipulator designed for various industrial tasks …
Published in International Journal of Robotics and Automation in Mechanics · Vol. 3, Issue 2, 2025 · pp. 27–32 Read article
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Artificial Intelligence in Trigonometry: Innovations, Applications, and Future Prospects
Abstract: Artificial Intelligence (AI) has transformed numerous scientific fields, yet its integration with classical mathematics such as trigonometry is still emerging. This paper explores how AI enhances trigonometric problem solving, learning, and real-world applications. We analyse AI-driven tools for teaching trigonometry, AI in geometric and spatial reasoning, usage in robotics and computer vision, and future directions for research. Key challenges, methodologies, and case studies are discussed to provide a comprehensive overview …
Published in Journal of Artificial Intelligence Research & Advances · Vol. 13, Issue 3, 2025 Read article
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A Mathematical Perspective on Recent Cloud-Computing Trends for Scalable and Secure Social-Media Platforms
Abstract: Cloud computing underpins modern social-media platforms by providing elastic compute, storage, and data-processing pipelines capable of absorbing highly bursty workloads. This paper surveys recent cloud-native trends—serverless and event-driven design, container orchestration, edge/CDN offload, streaming analytics, and privacy-enhancing security controls—and formalizes their impact through a compact mathematical model. We express workload volatility using arrival-rate functions, use queueing-based capacity sizing to derive auto-scaling rules, and formulate an optimization objective that balances cost …
Published in Recent Trends in Mathematics · Vol. 3, Issue 2, 2026 · pp. 35–40 Read article
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Aqua Search – A New Metaheuristic Modified Firefly Algorithm for Topology Optimisation of Continuum Structures
Abstract: Abstract The focus of the paper is to propose a new search algorithm which requires less computational effort to perform topology optimisation of continuum structures. The basic idea is based on performing underwater search operations by a group of divers in a school. This algorithm is named as Aqua Search (AS). The design domain here is compared to the water body. The AS algorithm is an improvement over the conventional …
Published in Journal of Offshore Structure and Technology · Vol. 3, Issue 3, 2016 · pp. 32–37 Read article
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Response Surface Approach of Optimization to study the Effects of Drilling Parameters in AISI-304 Stainless Steel
Abstract: The effect of cutting parameters specifically cutting speed, feed rate, drill depth and drill diameter during drilling of AISI-304 stainless steel material on automatic radial drilling machine (RM-62) at different level presents in this work. All the cutting parameters are modeled using response surface methodology (RSM). The impact of cutting speed, feed rate, drill depth and drill diameter on the machining time, average roughness and peak roughness is examined. Finally, …
Published in Journal of Mechatronics and Automation · Vol. 4, Issue 2, 2017 · pp. 21–32 Read article
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64 Bit ALU DESIGN USING VEDIC MATHEMATHICS
Abstract: High-speed arithmetic operations are crucial for better performance in contemporary digital systems. Particularly for high bit-width operations, conventional arithmetic logic units (ALUs) frequently experience increased latency and complexity. This work presents the design and implementation of a 64-bit Arithmetic Logic Unit (ALU) using notions from Vedic mathematics. The suggested design makes use of a Kogge-Stone Adder for effective addition and the Urdhva Tiryagbhyam sutra for quick multiplication. Among other mathematical …
Published in International Journal of VLSI Circuit Design & Technology · Vol. 4, Issue 1, 2026 Read article
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Design & Implementation of 16-BIT MAC Unit Using Vedic Mathematics
Abstract: Multiply and Accumulate (MAC) units are essential parts of digital systems, particularly in embedded systems, digital signal processing (DSP), and image processing. The performance of these systems is significantly impacted by how well the multiplication process works. The design and construction of a fast 16-bit MAC unit utilizing Vedic mathematics are presented in this study.The proposed design utilizes the Urdhva Tiryagbhyam sutra to perform multiplication in a parallel manner, reducing …
Published in Journal of VLSI Design Tools and Technology · Vol. 16, Issue 1, 2026 · pp. 52–58 Read article
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Advancements in Windmill Technology: Comprehensive Research on Conventional and Piezoelectric Windmills
Abstract: This research delves into the structural components and mechanisms of conventional wind turbines, emphasizing blade material considerations for optimal performance. It introduces a paradigm shift by exploring the use of epoxy resin and piezoelectric materials, specifically zinc oxide, in wind turbine blades. The study presents mathematical models and conducts a comparative analysis between conventional and piezoelectric turbines, evaluating efficiency, cost-effectiveness, environmental impact, and energy output differences. While awaiting experimental data, …
Published in Journal of Aerospace Engineering & Technology · Vol. 14, Issue 3, 2024 · pp. 31–42 Read article
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Maximum Power Point Tracker and its model in MATLAB
Abstract: The study says that In a (Power-Voltage or current-voltage) curve of a solar panel, there is an optimum operating point such that the PV delivers the maximum possible power to the load. This unique point is the maximum power point (MPP) of solar panel. Its mathematical models of the components of PV module that is MPPT model uses the MPPT control unit, and Buck- Boost converter to implement a simulation …
Published in Journal of VLSI Design Tools and Technology · Vol. 9, Issue 3, 2019 · pp. 26–31 Read article
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The Principles and Applications of Structural Symmetry in Natural and Engineered Systems: A Comprehensive Review
Abstract: Structural symmetry is a fundamental constraint across scientific domains, dictating the stability, functionality, and efficiency of systems from the subatomic to the macroscopic. In physics and chemistry, symmetry is mathematically defined through Group Theory, specifically point groups (e.g., Cnv, Oh). These groups govern molecular orbital interactions; high-symmetry configurations, such as the icosahedral C60 fullerene, achieve optimal energy distribution and structural resilience. In Structural Biology, symmetry is an evolutionary strategy for …
Published in Emerging Trends in Symmetry · Vol. 2, Issue 1, 2026 · pp. 30–34 Read article
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Dynamic Cellular Manufacturing System: A Review
Abstract: Cell-formation procedures ignore any changes in demand over time caused by product redesign and uncertainties due to volume variation, part mix variation and resource unreliability till today. Nowadays for business environment product life cycles are short, demand volumes and product mix can vary frequently, in this context Cellular Manufacturing System (CMS) configuration for a period might not be an optimal or even not to be feasible for the next periods …
Published in Journal of Production Research & Management · Vol. 4, Issue 2, 2014 · pp. 1–11 Read article