Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Modeling with Differential Equations01:25

Modeling with Differential Equations

Population dynamics can be described mathematically by considering the population size P(t) as a function of time. The rate of change of the population is then represented by the derivative of P(t). A simple assumption is that the rate of growth is proportional to the size of the population itself. This leads to an exponential growth model, where the population increases rapidly without bound. While this is a useful first approximation, it does not reflect realistic long-term...
Exponential Equations for Modeling Growth01:26

Exponential Equations for Modeling Growth

Exponential models are essential for describing rapid, multiplicative changes in natural systems, such as population growth. When a population doubles at regular intervals, the process can be modeled using a suitable base. For instance, a bacterial culture that doubles every three hours follows the model n(t)=n0⋅2t/3, where n(t) is the population at the time t.A more general model uses the natural base e, especially for continuous growth. This takes the form n(t)=n0⋅ert, where r is the relative...
Simplified Synchronous Machine Model01:30

Simplified Synchronous Machine Model

The Synchronous Machine Model is a fundamental tool in analyzing and ensuring the transient stability of power systems. This model simplifies the representation of a synchronous machine under balanced three-phase positive-sequence conditions, assuming constant excitation and ignoring losses and saturation. The model is pivotal for understanding the behavior of synchronous generators connected to a power grid, particularly during transient events.
In this model, each generator is connected to a...
PD Controller: Design01:26

PD Controller: Design

In automotive engineering, car suspension systems often employ Proportional Derivative (PD) controllers to enhance performance. PD controllers are utilized to adjust the damping force in response to road conditions. A controller, acting as an amplifier with a constant gain, demonstrates proportional control, with output directly mirroring input.
Designing a continuous-data controller requires selecting and linking components like adders and integrators, which are fundamental in Proportional,...
Multimachine Stability01:25

Multimachine Stability

Multimachine stability analysis is crucial for understanding the dynamics and stability of power systems with multiple synchronous machines. The objective is to solve the swing equations for a network of M machines connected to an N-bus power system.
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
Mechanistic Models: Compartment Models in Individual and Population Analysis01:23

Mechanistic Models: Compartment Models in Individual and Population Analysis

Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least squares (OLS)...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Auditing Road-Segment Speed Forecasting Under Sparse Mobile Probe Sensing: A Mask-Consistent Support-Chain Analysis.

Sensors (Basel, Switzerland)·2026
Same author

Localized Potential Regulation on Polymer Donor Backbone Suppresses Energetic Disorder for Efficient, Stable and Scalable Organic Solar Cells.

Advanced materials (Deerfield Beach, Fla.)·2026
Same author

Diseases burden and trends of bladder cancer attributable to behavioral and metabolic factors among global and Chinese population, 1990-2021: results from the global burden of disease study 2021.

Journal of health, population, and nutrition·2025
Same author

Clinical features and prognostic analysis of spontaneous rupture of renal cell carcinoma: a retrospective cohort study.

Frontiers in oncology·2025
Same author

Unleashing the potential of urine DNA methylation detection: Advancements in biomarkers, clinical applications, and emerging technologies.

Current urology·2025
Same author

Modified laparoscopic transvesical diverticulectomy: a case series study for the treatment of giant bladder diverticulum.

BMC urology·2025

Related Experiment Video

Updated: May 17, 2026

Evaluating the Effect of Roadside Parking on a Dual-Direction Urban Street
14:55

Evaluating the Effect of Roadside Parking on a Dual-Direction Urban Street

Published on: January 20, 2023

Optimized GM(0,N) model with exponential-trigonometric transformations and PSO for queue length prediction at metered

Hong Ki An1, Shanhua Zhang2,3, Seyed Mohammadreza Ghadiri4

  • 1School of Civil Engineering, Universiti Sains Malaysia, Engineering Campus, 14300, Nibong Tebal, Pulau Pinang, Malaysia. anhongki77@usm.my.

Scientific Reports
|May 15, 2026
PubMed
Summary

This study introduces an optimized Grey Model (GM) for predicting traffic queues at metered roundabouts. The enhanced model improves accuracy by considering traffic flow and signal timing, outperforming existing methods.

Keywords:
Combined exponential and trigonometric transformationsMetered roundaboutOptimized GM(0,N)Particle swarm optimizationQueue length

Related Experiment Videos

Last Updated: May 17, 2026

Evaluating the Effect of Roadside Parking on a Dual-Direction Urban Street
14:55

Evaluating the Effect of Roadside Parking on a Dual-Direction Urban Street

Published on: January 20, 2023

Area of Science:

  • Traffic Engineering
  • Transportation Science
  • Data Modeling

Background:

  • Conventional Grey Models (GM) struggle with time series prediction accuracy due to unconsidered influencing factors.
  • Predicting queue lengths at metered roundabouts is crucial for traffic management.

Purpose of the Study:

  • To develop an optimized GM(0,N) model for enhanced queue length prediction at metered roundabouts.
  • To improve prediction accuracy by integrating traffic entry volume, conflicting flow, and signal timing.

Main Methods:

  • An optimized GM(0,N) model was developed, incorporating exponential and trigonometric sequence transformations.
  • Particle Swarm Optimization (PSO) was used to determine optimal model parameters.
  • The model was validated using real-world data from metered roundabouts in Adelaide, Australia.

Main Results:

  • The proposed optimized GM(0,N) model demonstrated superior prediction accuracy compared to An's model, GM(1,1), GM(1,N), and conventional GM(0,N) models.
  • Accuracy was assessed using Mean Relative Error (MRE), Root Mean Square Error (RMSE), and Mean Absolute Error (MAE).
  • Box plot analyses confirmed the enhanced model's superior performance.

Conclusions:

  • The optimized GM(0,N) model offers a more accurate approach to predicting queue lengths at metered roundabouts.
  • The model is effective for managing unbalanced roundabout traffic and guiding detector placement.
  • Enhanced sequence transformation and parameter optimization are key to improving GM model performance in traffic prediction.