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

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

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

132
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.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
132
Statically Indeterminate Problem Solving01:16

Statically Indeterminate Problem Solving

540
Statically indeterminate problems are those where statics alone can not determine the internal forces or reactions. Consider a structure comprising two cylindrical rods made of steel and brass. These rods are joined at point B and restrained by rigid supports at points A and C. Now, the reactions at points A and C and the deflection at point B are to be determined. This rod structure is classified as statically indeterminate as the structure has more supports than are necessary for maintaining...
540
Collisions in Multiple Dimensions: Problem Solving01:06

Collisions in Multiple Dimensions: Problem Solving

4.6K
In multiple dimensions, the conservation of momentum applies in each direction independently. Hence, to solve collisions in multiple dimensions, we should write down the momentum conservation in each direction separately. To help understand collisions in multiple dimensions, consider an example.
A small car of mass 1,200 kg traveling east at 60 km/h collides at an intersection with a truck of mass 3,000 kg traveling due north at 40 km/h. The two vehicles are locked together. What is the...
4.6K
Alternative Sets of Equilibrium Equations01:31

Alternative Sets of Equilibrium Equations

621
When analyzing the behavior of structures, engineers often rely on the concept of equilibrium. This refers to the state where all forces and moments acting on a system balance each other, resulting in no net movement or rotation. In many cases, equilibrium can be described by a set of standard equations. However, in some situations, alternative sets of equilibrium equations must be used to describe the system's behavior accurately.
One example of such a situation can be observed in a...
621
Two-Dimensional Force System: Problem Solving01:29

Two-Dimensional Force System: Problem Solving

977
Solving problems related to two-dimensional force systems is an essential aspect of mechanics and engineering. By applying the principles of vector analysis and force equilibrium, one can determine the effect of multiple forces acting on an object in a two-dimensional space.
The first step to solving a two-dimensional force system problem is to draw a free-body diagram of the object under consideration. This diagram helps identify all the external forces acting on the object, including their...
977
Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model01:13

Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model

145
Drugs administered through various routes can lead to nonlinear elimination, resulting in complex pharmacokinetic behaviors crucial to understanding efficacious drug dosing.
When a drug is administered through a constant intravenous infusion and eliminated via nonlinear pharmacokinetics, it follows zero-order input. For example, oral drugs undergo first-order absorption upon administration and are eliminated through nonlinear pharmacokinetics.
In the case of subcutaneously administered drugs,...
145

You might also read

Related Articles

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

Sort by
Same author

Demethylase ALKBH5 suppresses invasion of gastric cancer via PKMYT1 m6A modification.

Molecular cancer·2022
Same author

Proton-Promoted Nickel-Catalyzed Asymmetric Hydrogenation of Aliphatic Ketoacids.

Angewandte Chemie (International ed. in English)·2022
Same author

Demographic Factors and Job Characteristics Associated With Burnout in Chinese Female Nurses During Controlled COVID-19 Period: A Cross-Sectional Study.

Frontiers in public health·2022
Same author

Designing Phenyl Porous Organic Polymers with High-Efficiency Tetracycline Adsorption Capacity and Wide pH Adaptability.

Polymers·2022
Same author

Based on BATMAN-TCM to Explore the Molecular Mechanism of Xihuang Pill Regulating Immune Function to Treat Breast Precancerous Lesions.

Breast cancer (Dove Medical Press)·2022
Same author

Target serum concentration of vancomycin may be reached earlier with a loading dose.

Chinese medical journal·2022
Same journal

An Evolutionary Algorithm Assisted by an Ensemble of Pareto-Optimal Surrogate Models.

IEEE transactions on cybernetics·2026
Same journal

A Quantum Self-Attention Neural Network Model on Quantum Circuits.

IEEE transactions on cybernetics·2026
Same journal

Semi-Explicit Solution of Some Discrete-Time Higher-Order-Cost Mean-Field-Type Control.

IEEE transactions on cybernetics·2026
Same journal

A Novel One-Step Small Object Detector for Autonomous Aerial Vehicles.

IEEE transactions on cybernetics·2026
Same journal

Online Data-Driven-Based Optimal Output Tracking Control Without Initial Stabilizing Policy.

IEEE transactions on cybernetics·2026
Same journal

Digital Redesign-Based Interval State Estimation for Continuous Systems With Aperiodic Discrete Measurements.

IEEE transactions on cybernetics·2026
See all related articles

Related Experiment Video

Updated: Oct 20, 2025

Spatial Multiobjective Optimization of Agricultural Conservation Practices using a SWAT Model and an Evolutionary Algorithm
11:53

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

Published on: December 9, 2012

13.1K

CaR: A Cutting and Repulsion-Based Evolutionary Framework for Mixed-Integer Programming Problems.

Jiao Liu, Yong Wang, Pei-Qiu Huang

    IEEE Transactions on Cybernetics
    |September 14, 2021
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces CaR, a novel evolutionary framework for solving complex mixed-integer programming (MIP) problems. CaR effectively tackles the challenges posed by discontinuous feasible regions using cutting and repulsion strategies.

    More Related Videos

    Protein WISDOM: A Workbench for In silico De novo Design of BioMolecules
    10:58

    Protein WISDOM: A Workbench for In silico De novo Design of BioMolecules

    Published on: July 25, 2013

    17.2K
    Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
    20:36

    Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling

    Published on: July 4, 2007

    8.9K

    Related Experiment Videos

    Last Updated: Oct 20, 2025

    Spatial Multiobjective Optimization of Agricultural Conservation Practices using a SWAT Model and an Evolutionary Algorithm
    11:53

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

    Published on: December 9, 2012

    13.1K
    Protein WISDOM: A Workbench for In silico De novo Design of BioMolecules
    10:58

    Protein WISDOM: A Workbench for In silico De novo Design of BioMolecules

    Published on: July 25, 2013

    17.2K
    Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
    20:36

    Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling

    Published on: July 4, 2007

    8.9K

    Area of Science:

    • Operations Research
    • Computer Science
    • Mathematical Optimization

    Background:

    • Mixed-integer programming (MIP) problems are challenging due to discontinuous feasible regions caused by integer restrictions.
    • The complexity increases with more integer variables and larger candidate sets, making optimal solution finding difficult.

    Purpose of the Study:

    • To present a novel evolutionary framework, Cutting and Repulsion (CaR), designed to efficiently solve mixed-integer programming problems.
    • To address the computational challenges associated with discontinuous feasible regions in MIP.

    Main Methods:

    • The CaR framework employs two primary strategies: a cutting strategy and a repulsion strategy.
    • The cutting strategy adds constraints to prune unpromising feasible regions, reducing the search space.
    • The repulsion strategy reinitializes the population and uses a repulsion function to explore new regions when convergence occurs.

    Main Results:

    • The cutting strategy effectively reduces the number of discontinuous feasible parts.
    • The repulsion strategy enhances the exploration of remaining feasible parts.
    • CaR demonstrated strong performance on sixteen test problems and two real-world cases.

    Conclusions:

    • The CaR framework is an effective approach for solving mixed-integer programming problems.
    • The combination of cutting and repulsion strategies successfully navigates discontinuous feasible regions.
    • CaR offers a promising method for tackling complex optimization challenges in MIP.