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189 articles for “mathematical optimization”
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Spectral Intuitionistic Fuzzy Hypergraph Operators and Dominance Kernels for Resilient Discrete Network Design
Abstract: A new discrete-mathematical framework is developed for resilient network design on intuitionistic fuzzy hypergraphs, where uncertainty is explicitly represented through membership, non-membership, and hesitation degrees associated with both vertices and hyperedges. These three components are systematically integrated into an effective incidence operator that captures the underlying uncertain relationships within complex hypergraph structures. Based on this operator, both un-normalised and normalized Laplacian matrices are formulated to characterize the spectral properties and …
Published in Recent Trends in Mathematics · Vol. 3, Issue 2, 2026 · pp. 41–48 Read article
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A Study of Fixed-Point and Best Proximity Point
Abstract: Fixed-point theory plays a fundamental role in nonlinear analysis and has significant applications in optimization, differential equations, and applied mathematics. This study investigates the existence and properties of fixed points and best proximity points for various classes of mappings defined on metric and normed spaces. While fixed-point results guarantee the existence of a point that remains invariant under a given mapping, such points may not exist when the mapping is …
Published in Recent Trends in Mathematics · Vol. 3, Issue 1, 2026 · pp. 28–39 Read article
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Sand Casting Process Optimization via Design of Experiments: A Review
Abstract: Designing and optimizing of gating is an essential part of casting foundry as it contributes significantly to predict and minimize the flow turbulence resulting to casting defects like rough surface, sand inclusion, etc. An Optimization scheme for gating design parameters for casting was proposed with different past studies of the researches. Various designs were modeled and mould filling simulation rooted to minimize turbulence and macro defects are recommended in this …
Published in Trends in Machine design · Vol. 4, Issue 3, 2017 · pp. 1–4 Read article
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Speed Control of PMSM using Optimization Methods
Abstract: AbstractThis paper represents a modelling and optimized design of speed control for a permanent magnet synchronous motor (PMSM). The PI controller of inner current loop is optimized using evolutionary algorithm like Particle Swarm Optimization (PSO) method. To illustrate effect of proposed method, the performance of evaluationary algorithm is compared with traditional optimization method i.e., Ziegler-Nichols method. The main objective of the proposed work are, develop mathematical modelling of PMSM motor …
Published in Journal of Microcontroller Engineering and Applications · Vol. 6, Issue 2, 2019 · pp. 8–16 Read article
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Container transportation in marine terminals and marine transportation infrastructure on the increase in export market share
Abstract: In order to achieve important policy goals like increasing global competitiveness, diversifying import sources, opening up new markets, and forging strategic partnerships, maritime transportation is essential. It also has a significant impact on reducing the economic vulnerability of nations that rely on the sale of gas and oil by carefully choosing its clients and growing the export of petroleum products, petrochemicals, and gas. This study develops a two-objective mathematical planning …
Published in Journal of Petroleum Engineering & Technology · Vol. 14, Issue 1, 2024 · pp. 36–42 Read article
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Establishing Empirical Relationships to Predict Grain Size and Hardness of Pulsed Current Microplasma Arc Welded Inconel 625 Sheets
Abstract: Nickel alloys have gathered wide acceptance in the fabrication of components, which require high temperature resistance and corrosion resistance, such as metallic 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 microplasma arc welding was found beneficial due to its advantages over the conventional continuous current process. The paper focuses on developing mathematical models …
Published in Journal of Materials & Metallurgical Engineering · Vol. 1, Issue 1-3, 2011 · pp. 37–47 Read article
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IoT-enhanced Extensible Messaging Presence Protocol: A Multiple Multicast Architecture for Diverse Applications
Abstract: Extensible Messaging Presence Protocol (XMPP) is a real-time information transmission specification protocol based on IP technology and XML supporting publish/subscribe messaging systems. Publishers use multicast to send data simultaneously to multiple subscribers. IoT devices benefit enormously by using XMPP Extension Protocols (XEPs) available in the literature that enables using XMPP for multicast. Publishers are considering Multiple Multicast (MMC) to address subscriber overlap while sending messages to multiple subscribers simultaneously. This …
Published in Journal of Advances in Shell Programming · Vol. 10, Issue 2, 2023 · pp. 1–13 Read article
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Casting Simulation using ProCast: A Review
Abstract: Productivity improvement is the need of current market and manufacturing sector globally. In India the manufacturing sector is concentrated towards the casting process and majority of the products are manufactured by casting process. Various factors and parameters affect the quality and productivity of the casting process. Due to variation in these parameters various types of defects and shortcomings come to the scene during the casting process. In this review paper …
Published in Journal of Production Research & Management · Vol. 6, Issue 1, 2016 · pp. 1–8 Read article
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Strategic Optimization of CNC Machining in Production Systems: A Managerial Review of Methods, Metrics, and Industry 4.0 Integration
Abstract: Computer numerical control (CNC) machining has significantly influenced modern production systems by enabling higher efficiency, quality, and sustainability. As industrial operations strive for leaner production and strategic competitiveness, optimization of machining parameters—including cutting speed, feed rate, depth of cut, and tool path strategies—has emerged as a cornerstone of production planning. This review evaluates the optimization methodologies developed from 2015 to 2025, spanning traditional mathematical models to artificial intelligence (AI)-driven metaheuristic …
Published in Journal of Production Research & Management · Vol. 15, Issue 2, 2025 · pp. 25–30 Read article
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Unified Mathematical Framework for Semiconductor Devices, Junction Dynamics, and Circuit Analysis
Abstract: Semiconductor devices form the fundamental building blocks of modern electronic and integrated circuit systems, where their electrical behavior is governed by coupled carrier transport, electrostatic, and circuit-level phenomena. This work presents a unified mathematical framework for modeling semiconductor devices, junction dynamics, and their interaction with electronic circuits. The formulation integrates fundamental semiconductor relations, carrier concentration, drift–diffusion transport, Poisson’s equation, continuity equations, PN-junction behavior, diode characteristics, bipolar junction transistor operation, and …
Published in Journal of Semiconductor Devices and Circuits · Vol. 13, Issue 2, 2026 · pp. 37–47 Read article
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Mathematical Modelling of Semiconductor Device Physics: An Analytical Approach
Abstract: Semiconductor device physics forms the foundation of modern electronic and optoelectronic technologies. Mathematical modelling provides a rigorous framework for understanding, predicting, and optimizing the behavior of semiconductor devices by linking physical principles with device-level performance. This work presents an analytical approach to the mathematical modelling of semiconductor devices, emphasizing the derivation and interpretation of governing equations that describe charge transport and electrostatic behavior. The model is based on fundamental physical …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 13, Issue 1, 2026 · pp. 36–42 Read article
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Study of Proximity Points and Fixed Points
Abstract: This paper explores the concepts of proximity points and fixed points, which are fundamental in mathematical analysis and nonlinear functional analysis. Fixed-point theorems play a crucial role in optimization, game theory, differential equations, and dynamic systems. Proximity points, an extension of fixed points, provide a more generalized approach, allowing near-coincidence rather than exact identity. The study discusses classical fixed-point theorems, such as Banach’s contraction principle, Brouwer’s fixed-point theorem, and Schauder’s …
Published in Recent Trends in Mathematics · Vol. 1, Issue 2, 2024 · pp. 28–31 Read article
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Extended Fixed Point Theorems in Menger PM-Type Spaces: Generalized Auxiliary Functions and Contractivity Conditions
Abstract: Background: Fixed point theory in probabilistic metric spaces, particularly Menger spaces, has been a subject of intensive research due to its applications in nonlinear analysis and mathematical modeling. Traditional approaches often impose restrictive constraints on the defining properties of Menger spaces and limit the class of auxiliary functions in contractivity conditions Methods: We extend recent fixed point theorems in Menger spaces by: (1) introducing the notion of Menger PM-type spaces …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 12, Issue 3, 2025 · pp. 1–6 Read article
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Exploring the Influence of Machining Parameters on Geometric Form and Orientation Controls (23 Design)
Abstract: This work explores the influence of machining parameters using on geometric form controls flatness and straightness as well as orientation control parallelism using an aluminum 6061 workpiece. Due to its good strength, machinability and cost- effectiveness, aluminum 6061 is widely used. In this experimental work, full factorial design is used and each factor has two levels. The response parameters chosen include flatness, straightness, and parallelism, which govern the form and …
Published in Journal of Experimental & Applied Mechanics · Vol. 16, Issue 1, 2025 · pp. 10–16 Read article
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A Sustainable EOQ Model for Declining Products Incorporating Cubic Demand, Variable Deterioration, Partial Backlogging, and Carbon Emission Optimization
Abstract: In this paper proposes a sustainable Economic Order Quantity (EOQ) model for inventory systems involving decaying items under cubic time-dependent demand, variable decaying rates, and partial backlogging while absolutely considering carbon emission costs. The model reflects practical market actions where demand initially increases and afterwards declines over time, and decay depends on the age of the item. To demonstrate the current model's applicability as well as evaluate the trade-off between …
Published in International Journal of Industrial and Product Design Engineering · Vol. 4, Issue 1, 2026 · pp. 20–28 Read article
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Intuitionistic Fuzzy Hypergraph Laplacians and Dominating Transversals for Resilient Discrete Network Design
Abstract: This manuscript develops a discrete mathematical framework for resilience analysis on networks whose interactions are polyadic, uncertain, and partially conflicting. Classical graphs compress multi-way coordination into pairwise edges, while ordinary fuzzy graphs often ignore the non-membership information that becomes critical in emergency logistics, infrastructure interdependence, and cyberphysical coordination. We therefore formulate an intuitionistic fuzzy hypergraph in which each vertex hyperedge incidence carries membership, non-membership, and hesitation, and we construct a …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 13, Issue 2, 2026 · pp. 15–21 Read article
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A Review Paper on The Mathematical Foundations of Artificial Intelligence
Abstract: Artificial Intelligence (AI) is deeply rooted in various branches of mathematics, which provide the theoretical foundation and practical tools for developing intelligent systems. This paper explores the crucial role of mathematics in AI, focusing on key areas such as Linear Algebra, Probability and Statistics, Optimization Techniques, Calculus, Graph Theory, and Fourier and Wavelet Transforms. Linear Algebra is fundamental for representing and manipulating data, with applications in dimensionality reduction and neural …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 12, Issue 3, 2025 · pp. 7–14 Read article
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Hamiltonian Mathematical Modeling of Nonlinear Photonic Dynamics for Advanced Optical Communication Systems
Abstract: With the rising requirement for high capacity, low latency and energy-efficient optical communication, the need for strict mathematical models of the nonlinear dynamics of photonic systems has grown. In this study, a mathematical framework based on the Hamiltonian formalism is developed for the characterization of the nonlinear dynamics in advanced optical communication systems. The proposed formulation is the result of a natural evolution of optical amplitude, phase, dispersion, nonlinear interaction …
Published in Trends in Opto-electro & Optical Communication · Vol. 16, Issue 3, 2026 Read article
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Implementation of Load Flow Analysis using NR method
Abstract: Load flow studies are one of the most important aspects of power system analysis and design. This paper presents an optimal analysis technique for load flow analysis using Newton Raphson Algorithm for solving set of nonlinear equations. The main objective of load flow analysis is to evaluate the magnitude and phase angle of voltage at each bus as well as real and reactive power flowing in each transmission line. For …
Published in Journal of Advancements in Robotics · Vol. 2, Issue 3, 2015 · pp. 8–13 Read article
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Molecular Transport Kinetics of Non-Polar Solvents Through AGNP Filled EPDM Elastomeric Composites
Abstract: EPDM Based rubber composites can be used in tank and pipe lining works. In these applications one of the major requirements is that the composite must have good fluid permeability and chemical degradation resistances in their working environment. In order to enhance the performance of EPDM rubber to suit these applications, scientists and engineers are trying to develop novel nanocomposites by incorporating nano fillers. In the present work, to ensure …
Published in Journal of Polymer & Composites · Vol. 13, Issue 6, 2025 · pp. 993–1006 Read article