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Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

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Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
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The shear center of a channel section with uniform thickness, height, and width, is determined by computing the shear force in the member and calculating the moments of inertia of the sections.
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The design of a transmission shaft is governed by two primary specifications: the power it transmits and its rotational speed. These parameters guide the selection of the shaft's material and cross-sectional dimensions, ensuring that the material's maximum shearing stress remains within the elastic limit while transmitting the desired power at the given speed. The system's power is intrinsically linked to the applied torque. The torque applied to the shaft can be calculated by...
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Statically Indeterminate Problem Solving01:16

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Machines are complex structures consisting of movable, pin-connected multi-force members that work together to transmit forces. Consider a lifting tong carrying a 100 kg load. It comprises movable sections DAF and CBG linked together with member AB.
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Designing a transmission shaft requires a thorough understanding of the stresses induced by bending moments and torques, especially in systems where power is transferred through gears. These forces create force-couple systems at the centers of the shaft's cross-sections, leading to both transverse and torsional loading. Although shearing stresses from transverse loads are typically smaller than those from torques and are often overlooked, the significant normal stresses from these loads...
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Improved Dwarf Mongoose Optimization for Constrained Engineering Design Problems.

Jeffrey O Agushaka1,2, Absalom E Ezugwu1,3, Oyelade N Olaide1

  • 1School of Mathematics, Statistics, and Computer Science, University of KwaZulu-Natal, King Edward Avenue, Pietermaritzburg Campus, Pietermaritzburg, 3201 KwaZulu-Natal South Africa.

Journal of Bionic Engineering
|December 19, 2022
PubMed
Summary
This summary is machine-generated.

A modified Dwarf Mongoose Optimization Algorithm (IDMO) enhances engineering design by improving exploration and exploitation. This new algorithm, IDMO, outperforms existing methods in solving complex optimization problems.

Keywords:
Constrained optimizationEngineering design problemsImproved dwarf mongooseNature-inspired algorithmsUnconstrained optimization

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Area of Science:

  • Computational Intelligence
  • Optimization Algorithms
  • Engineering Design

Background:

  • Constrained engineering design problems require robust optimization techniques.
  • The Dwarf Mongoose Optimization Algorithm (DMO) is a metaheuristic algorithm with potential for complex problem-solving.
  • Existing DMO limitations include computational overhead in alpha selection and less efficient group interactions.

Purpose of the Study:

  • To introduce an improved Dwarf Mongoose Optimization Algorithm (IDMO) for constrained engineering design.
  • To enhance the exploration and exploitation capabilities of the original DMO algorithm.
  • To validate the effectiveness of IDMO against benchmark functions and engineering problems.

Main Methods:

  • Modification of the alpha selection process to prioritize the fittest individual.
  • Introduction of a new operator (ω) to control alpha movement and enhance search dynamics.
  • Incorporation of randomization in scout group movements for increased diversity.
  • Revision of the babysitter exchange criterion to facilitate knowledge sharing among mongooses.

Main Results:

  • The enhanced IDMO algorithm demonstrated superior performance in solving classical, CEC 2020 benchmark, and engineering optimization problems.
  • Statistical analysis and performance metrics confirmed IDMO's effectiveness compared to DMO and eight other algorithms.
  • IDMO achieved better solutions in most tested scenarios, indicating improved convergence and solution quality.

Conclusions:

  • The proposed IDMO algorithm offers a significant advancement over the standard DMO for constrained engineering design.
  • The modifications effectively balance exploration and exploitation, leading to more efficient and robust optimization.
  • IDMO presents a promising tool for tackling complex real-world engineering challenges.