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189 articles for “mathematical optimization”
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The Role of Optimization and Probability in Shaping Artificial Intelligence
Abstract: This study discusses the basic roles of optimization algorithms and the theory of probability in the process of evolution and development of Artificial intelligence (AI). First, we introduce the role played by the next generation of leading-edge optimization algorithms developed since gradient descent to evolutionary strategies with respect to the learning of high-level AI models and how to enable them to learn to effectively explore high-dimensional parameter spaces. At the …
Published in Journal of Computer Technology & Applications · Vol. 16, Issue 2, 2025 · pp. 123–128 Read article
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Distribution Power Loss Minimization by Network Reconfiguration and DG Placement
Abstract: AbstractThe paper presents an efficient algorithm for network reconfiguration associated with DG allocation to minimize real power losses in radial distribution networks. Selective Particle Swarm Optimization algorithm (SPSO) is used to find new tie switches. Allocation of DG units has been done by new analytical approach. The proposed analytical method for optimal DG placement is developed based on a new mathematical formulation. DG type-I is used to solve the problem. …
Published in Journal of Microelectronics and Solid State Devices · Vol. 5, Issue 1, 2018 · pp. 8–19 Read article
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Analysis and Optimization of End Milling Machining Parameters for Polypropylene composite using Taguchi based GRA
Abstract: This paper offerings the effect of machining parameters on Surface roughness (Ra & Rz) and Machining time during end milling of polypropylene material on CNC milling machine at different levels. In this effort, the machining parameters namely milling speed (MS), feed (Feed) and depth of cut (DOC) were designed using Taguchi L16 experimental design matrix. The impact of all the input parameters on the response parameters (surface roughness and machining …
Published in Trends in Mechanical Engineering & Technology · Vol. 8, Issue 3, 2018 · pp. 91–100 Read article
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A New Analytical Expression of Channel Capacity with MRC Diversity Over Composite Model of α-μ/Inverse Gaussian Fading Distribution
Abstract: Abstract: Fading in a wireless communication system occurs basically due to two phenomena, multipath fading, and shadowing. A realistic scenario would comprise of both the phenomenon occurring simultaneously. Such a scenario is frequently characterized by a composite model of multipath/shadowing fading. In this work, a novel expression for the composite model of αμ/Inverse-Gaussian (IG) distribution with MRC diversity is obtained using the GaussLaguerre integration technique. Further utilizing the obtained expression …
Published in Journal of Microelectronics and Solid State Devices · Vol. 6, Issue 1, 2019 · pp. 22–29 Read article
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Optimization of Biohybrid Polymer Synthesis Using Fuzzy Inference Systems
Abstract: This investigation proposes a methodology to optimize biohybrid polymer synthesis using fuzzy inference systems (FIS). The study combines fuzzy logic principles with mathematical calculations for finding the best synthesis parameters to enhance the synthesis quality. This study consists on a sample about the use of FIS on optimisation of polymer synthesis, where they show the process of fuzzification, rule base creation, inference mechanism and defuzzification using the centroid method through …
Published in Journal of Polymer & Composites · Vol. 12, Issue 5, 2024 · pp. 36–47 Read article
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Optimal Location of IPFC based on Installation Cost in a Power System Network using ABC Algorithm
Abstract: This paper presents a methodology for locating the optimal position of Interline Power Flow Controller (IPFC) in a power system network based on installation cost. The proposed methodology uses both conventional and non conventional optimization tools such as LR and ABC, respectively. This methodology is formulated mathematically based on installation cost of the FACTS device and generation cost of the real power. IPFC is modeled using Power Injection (PI) model …
Published in Trends in Electrical Engineering · Vol. 2, Issue 1-2-3, 2012 · pp. 11–30 Read article
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A Comprehensive Review of Mathematical Modelling using Graphs
Abstract: This article provides a detailed insight into the applications and methods of mathematical modeling using graphs. Graph theory has proven to be a powerful tool for representing and analyzing complex systems in diverse fields such as computer science, social networks, transportation, biology, etc. This paper covers the importance of graph theory for solving real-world problems. Mathematical modeling using graph theory includes graphical representations, algorithms, and their applications in network analysis, …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 10, Issue 2, 2023 · pp. 28–34 Read article
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Fuzzy Mathematics in Decision-Making: A Quantitative Perspective
Abstract: Fuzzy mathematics plays an increasingly generalized role in decision-making, and thus, this paper details different types of fuzzy mathematics and highlights other possible alternatives alongside fuzzy methodologies. Fuzzy models offer a versatile and precise approach to assessing complex and uncertain situations using fuzzy sets, membership functions, linguistic variables, and aggregation methods. Through the lenses of time, cost, and quality, the project management case study illustrates how fuzzy logic effectively evaluates …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 12, Issue 1, 2025 · pp. 6–12 Read article
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Formulation And Evaluation Of Captopril Sustained Release Tablet By Qbd Approach.
Abstract: The purpose of present study was to formulation and evaluation of Captopril sustained release tablet by QbD approach using size expanding polymer and cross linker. Captopril is a ACE inhibitor use in treatment of mild to moderate hypertension. Captopril having biological half-life of 2 hrs. The drugs gets degrade as its goes to higher pH, so we selected size expanding GRDDS. In formulation development study by using QbD, we found …
Published in Research & Reviews: A Journal of Drug Formulation, Development and Production · Vol. 10, Issue 1, 2023 · pp. 64–73 Read article
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Edge Computing Assisted Polymer Composite Biosensors for real time medical Analytics
Abstract: The fast development of healthcare technologies has generated the increased need of real-time, correct, and effective medical monitoring systems. Polymer composite biosensors have come out as a viable solution since they are flexible, biocompatible and highly sensitive in detecting physiological and biochemical signals. Nevertheless, traditional cloud-based data processing systems bring about latency, bandwidth issues, and privacy risks, and thus are not suitable to use in time-sensitive medical services. In order …
Published in Journal of Polymer & Composites · Vol. 14, Issue 4, 2026 Read article
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Fractional Riemannian Fuzzy C-Means with Time-Series Regularization for Economic Manifold Forecasting
Abstract: A fractional Riemannian fuzzy c-means framework is proposed for uncertain economic forecasting on non-Euclidean data domains. Observations are represented on a Riemannian manifold, cluster centres are intrinsic prototypes, and a latent fuzzy regime signal is regularised by both autoregressive and fractional-memory penalties. The resulting objective couples geometric clustering with time-series consistency, thereby discouraging partitions that are locally plausible but temporally incoherent. Closed-form membership updates, exponential-map centre updates, normal equations for …
Published in Recent Trends in Mathematics · Vol. 3, Issue 2, 2026 · pp. 49–55 Read article
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Study of technical and economic assessment of solar-assisted and thermoelectric air-conditioning technologies
Abstract: This study presents an integrated technical and economic assessment of solar-assisted absorption and thermoelectric air-conditioning technologies for residential cooling applications. A comprehensive methodology combining mathematical modelling, experimental characterization of thermoelectric modules, numerical simulation, and economic optimization was developed to evaluate the performance of both cooling systems. The solar-assisted system employs single-effect LiBr–H₂O absorption chillers operating under water-cooled and air-cooled configurations, simulated using TRNSYS and Engineering Equation Solver (EES), while the …
Published in International Journal of Energy and Thermal Applications · Vol. 4, Issue 2, 2026 Read article
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A SEIR-Informed Stacked Fusion of Prophet, XGBoost, and LSTM for Ward-Level Epidemic Forecasting in Amravati Municipal Corporation
Abstract: Municipal epidemic preparedness depends on accurate short-horizon forecasts at fine spatial granularity. Ward-level incidence series are typically nonstationary due to changing contact patterns, interventions, reporting delays, and heterogeneous demographic and environmental factors. This paper presents a mathematically formulated hybrid forecasting architecture designed for Amravati Municipal Corporation (AMC). The method decomposes observed incidence into (i) a mechanistic SEIR baseline that enforces epidemiological structure and (ii) a data-driven residual learned using Prophet …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 13, Issue 1, 2026 · pp. 17–23 Read article
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An Analytical Study on Learning Difficulties in Estimation Theory Among Undergraduate Engineering Students
Abstract: Estimation Theory is a critical mathematical foundation for all engineering disciplines, enabling learners to model uncertainty, analyse signals, and derive optimal estimators. However, undergraduate students frequently struggle with its abstract properties, complex derivations, and prerequisite statistical concepts. This study investigates the key learning difficulties faced by students across multiple engineering branches using diagnostic tests, structured questionnaires, and interviews. The findings reveal that students commonly experience challenges related to weak probability …
Published in Research & Reviews : Journal of Statistics · Vol. 15, Issue 1, 2026 · pp. 37–41 Read article
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Design and Simulation of Discrete Time Optimal Speed Control for an Induction Motor Taking Core Loss and Stray Load Losses into Account
Abstract: Generally, the core loss and stray load loss are neglected in the mathematical model of induction motor (IM) to design the decoupling torque and flux control strategy. In order to precisely control the torque and flux, core loss and stray load loss, which are generally neglected, should be considered in the mathematical model of IM to design the controller. Some of literatures have shown how the detuning can be done …
Published in Journal of Power Electronics and Power Systems · Vol. 4, Issue 3, 2014 · pp. 46–56 Read article
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Experimental and Statical Analysis of Glass Fibre Reinforced Concrete
Abstract: During the most recent couple of decades, with the chance of fortifying the solid with fiber support to an incredible preferred position, the solid development field has encountered an expanded consideration. Various strands utilized are steel, manufactured, glass and common filaments, a portion of the planned advantages of filaments in concrete are improved split control and the chance of planning progressively thin structures. Glass fibre is a vital ingredient used …
Published in Journal of Polymer & Composites · Vol. 12, Issue 3, 2024 · pp. 266–273 Read article
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Image Classification using Convolutional Deep Neural Networks
Abstract: Thousands of images are generated every day, which implies the necessity to classify and access them by an easy and faster way. The main objective of classification is to identify the features occurring in the image. Neural networks (NNs), inspired by biological neural system, are a family of supervised machine learning algorithms that allow machine to learn from training instances as mathematical models. NNs have been widely applied in the …
Published in Journal of Image Processing & Pattern Recognition Progress · Vol. 5, Issue 3, 2018 · pp. 7–14 Read article
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Analysis of a New Approach to Admission Call Control
Abstract: This study presents a new method of managing call admission in wireless networks using a resource reservation technique. The system under study comprises a defined number of operating devices, standby units, and technicians assigned to repair failed devices. In this method, the failure and repair of devices are assumed to follow an exponential distribution. Whenever a device fails, a standby unit replaces it to maintain seamless functionality, and the failed …
Published in International Journal of Mobile Computing Technology · Vol. 3, Issue 2, 2025 · pp. 01–06 Read article
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Inverse Model for Predicting Thermal Abnormality of the Transient Process Triggered by Defective Electronics Element
Abstract: The paper presents a model for predicting thermal abnormalities in Printed Circuit Boards (PCBs) by approximating the thermal process of electric elements with heating from point sources. Circuit board heat sources are defined as point and non-point. The point heat source is a small electronic heating element that can be approximated as having originated from one point on the circuit board. A non-point source is one with heat distributed over …
Published in International Journal of Energy and Thermal Applications · Vol. 3, Issue 2, 2025 · pp. 24–31 Read article
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Optimal Floor Design of Production Workshop for Manufacturing Unit Using Genetic Algorithm for Efficient Performance
Abstract: Abstract: In today’s competitive market, producing industries need to satisfy additional numerous queries from the market, like widening the merchandise ranges, increasing quality and precise the delivery time. Manufacturing sector of production industries spends a huge amount of money and wealth on design and reallocation of available facilities. For an organization to have an effective and efficient manufacturing unit, it is important that optimal usage and design of facility layout …
Published in Journal of Instrumentation Technology & Innovations · Vol. 9, Issue 1, 2019 · pp. 19–28 Read article