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- A Review of Mathematical Models in Robotics - MDPI
The mathematical model is created using the formalism of robotics based on the geometric description of the modified Denavit–Hartenberg method The method considers that the autonomous vehicle is a multi-articulated system consisting of n bodies wherein the chassis is the movable base and the wheels are the terminals Each body is connected
- Mathematical Modeling of Cancer Progression - MDPI
Cancer, a complex disease characterized by uncontrolled cell growth and metastasis, remains a formidable challenge to global health Mathematical modeling has emerged as a critical tool to elucidate the underlying biological mechanisms driving tumor initiation, progression, and treatment responses By integrating principles from biology, physics, and mathematics, mathematical oncology provides
- Mathematical Model of Data Processing in a Personalized Search . . .
This paper presents a probabilistic-temporal modeling approach for analyzing data processing stages in a personalized recommendation system for digital heritage collections The methodology is based on (Graphical Evaluation and Review Technique) GERT network formalism, which enables the representation of complex probabilistic workflows with feedbacks and alternative branches For each
- Optimizing Vehicle Body Cross-Sections Using a Parametric Mathematical . . .
This paper proposes a fast optimization method of body section at the conceptual design stage, based on the demand for body performance in body concept design The study first establishes a geometrically simplified model of the truss body structure and uses the transfer matrix method to establish a fully parameterized model of the geometrically simplified body under bending conditions Then
- Low Carrier–Frequency Ratio Luenberger Observer Based on . . . - MDPI
To address the issue of reduced observer accuracy under low carrier–frequency ratio (CFR) conditions in the sensorless control of high-speed motors, which limits system performance, this paper proposes a discrete mathematical modeling method for surface-mounted permanent magnet synchronous motors (SPMSMs) Based on this established accurate discrete motor model, the influence of low CFR on
- Sensitivity Analysis of Mathematical Models - MDPI
The construction of a mathematical model of a complicated system is often associated with the evaluation of inputs’ (arguments, factors) influence on the output (response), the identification of important relationships between the variables used, and reduction of the model by decreasing the number of its inputs These tasks are related to the problems of Sensitivity Analysis of mathematical
- Development of a Mathematical Model and Structural Optimization of the . . .
Saline-alkali soil has the characteristics of high density, high firmness and poor permeability Aiming at the problems of shallow subsoiling depth, large subsoiling specific resistance and small soil bulkiness in subsoiling operation in saline-alkali soil, this paper establishes a mathematical model of the specific resistance of a broken line subsoiler and uses genetic algorithm and the
- Mathematical Model for the Generalized VRP Model - MDPI
The Vehicle Routing Problem (VRP) is a highly investigated logistics problem VRP can model in-plant and out-plant material handling or a whole supply chain The first Vehicle Routing Problem article was published in 1959 by Dantzig and Ramser, and many varieties of VRP have appeared since then Transport systems are becoming more and more customized these days, so it is necessary to develop a
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