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Distributed Loads: Problem Solving01:21

Distributed Loads: Problem Solving

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Beams are structural elements commonly employed in engineering applications requiring different load-carrying capacities. The first step in analyzing a beam under a distributed load is to simplify the problem by dividing the load into smaller regions, which allows one to consider each region separately and calculate the magnitude of the equivalent resultant load acting on each portion of the beam. The magnitude of the equivalent resultant load for each region can be determined by calculating...
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Steps in Outbreak Investigation01:18

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In the ever-evolving field of public health, statistical analysis serves as a cornerstone for understanding and managing disease outbreaks. By leveraging various statistical tools, health professionals can predict potential outbreaks, analyze ongoing situations, and devise effective responses to mitigate impact. For that to happen, there are a few possible stages of the analysis:
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Rolling Resistance: Problem Solving01:17

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Rolling resistance, also known as rolling friction, is the force that resists the motion of a rolling object, such as a wheel, tire, or ball, when it moves over a surface. It is caused by the deformation of the object and the surface in contact with each other, as well as other factors like internal friction, hysteresis, and energy losses within the materials. Rolling resistance opposes the object's motion, requiring additional energy to overcome it and maintain movement. In practical...
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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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Short-distance Transport of Resources02:12

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Short-distance transport refers to transport that occurs over a distance of just 2-3 cells, crossing the plasma membrane in the process. Small uncharged molecules, such as oxygen, carbon dioxide, and water, can diffuse across the plasma membrane on their own. In contrast, ions and larger molecules require the assistance of transport proteins due to their charge or size. Transport across membranes also occurs within individual cells, playing a variety of essential roles for the plant as a whole.
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Normal and Tangetial Components: Problem Solving01:24

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Consider a man with a mass of 70 kg seated in a chair connected to a pin support through a member BC. If the man maintains an upright position, the task is to determine the horizontal and vertical reactions of the chair on the man when the member makes a 45° angle with the horizontal. At this moment, the man has a speed of 5 m/s, increasing at a rate of 1 m/s².
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Related Experiment Video

Updated: Aug 29, 2025

Spatial Multiobjective Optimization of Agricultural Conservation Practices using a SWAT Model and an Evolutionary Algorithm
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Spatial Multiobjective Optimization of Agricultural Conservation Practices using a SWAT Model and an Evolutionary Algorithm

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Evolutionary algorithm based approach for solving transportation problems in normal and pandemic scenario.

Amiya Biswas1, Sankar Kumar Roy2, Sankar Prasad Mondal3

  • 1Department of Mathematics, Durgapur Government College, Durgapur 713214, India.

Applied Soft Computing
|September 5, 2022
PubMed
Summary
This summary is machine-generated.

This study presents a modified Genetic Algorithm to optimize transportation logistics during COVID-19. The approach minimizes costs and vehicle trips while adhering to pandemic-related travel restrictions.

Keywords:
COVID-19 Pandemic scenarioFixed-chargeGenetic algorithmMultiple vehiclesTransportation Problem

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Area of Science:

  • Operations Research
  • Transportation Logistics
  • Pandemic Management

Background:

  • COVID-19 pandemic imposed significant challenges on transportation companies due to varying international restrictions.
  • Regional categorization based on infection rates, deaths, and population influenced vehicle movement and trip frequency.

Purpose of the Study:

  • To formulate and solve a fixed-charge transportation problem (FCTP) under pandemic conditions.
  • To achieve a transportation scheme minimizing cost and vehicle trips, especially for high-restriction regions.

Main Methods:

  • A penalty was incorporated into the objective function based on region restriction levels.
  • A constraint was added to manage and limit transportation costs.
  • A modified Genetic Algorithm (GA) with new crossover and mutation operators was developed to handle multi-trip and capacity constraints.

Main Results:

  • The modified GA effectively solved FCTP problems with pandemic-specific constraints.
  • Numerical illustrations demonstrated the effectiveness of the cost-limiting constraint.
  • Comparative analysis confirmed the algorithm's superiority over existing methods.

Conclusions:

  • The developed algorithm provides an effective solution for optimizing transportation logistics during pandemics.
  • The study highlights the importance of adaptive models to address real-world logistical challenges posed by global health crises.