Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Constraints and Statical Determinacy

Constraints and Statical Determinacy

In structural engineering, the equilibrium of a system is not only determined by its equations of equilibrium but also with the help of constraints. Constraints refer to restrictions on the motion of a system. The proper combinations of constraints can minimize the total number of constraints needed to maintain a system in mechanical equilibrium. When this happens, the system is said to be statically determinate. For such systems, the unknown reaction supports can be estimated using equilibrium...

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

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...

Method of Joints: Problem Solving II

Method of Joints: Problem Solving II

Consider a truss structure with frictionless joints fixed to a wall and roller support. If a force of 150 N is applied to joint A, the forces in each member of the truss can be determined using the method of joints.

Method of Joints: Problem Solving I

Method of Joints: Problem Solving I

The method of joints is a commonly used technique to analyze the forces in structural trusses. The method is based on the principle of equilibrium, which assumes that the truss members are connected by frictionless pins. The forces at each joint can be determined by considering the equilibrium of the forces acting on that joint. Consider a truss structure with two forces of 20 N and 10 N acting at joints C and D, respectively. The method of joints can be used to determine the forces FCB, FDC,...

Statically Indeterminate Problem Solving

Statically Indeterminate Problem Solving

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...

Stability of Equilibrium Configuration: Problem Solving

Stability of Equilibrium Configuration: Problem Solving

The stability of equilibrium configurations is an important concept in physics, engineering, and other related fields. In simple terms, it refers to the tendency of an object or system to return to its equilibrium position after being disturbed. The stability of an equilibrium configuration can be analyzed by considering the potential energy function of the system and examining its behavior near the equilibrium point.
Problem-solving in the context of the stability of equilibrium configuration...

You might also read

Related Articles

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

Sort by

Same author

Modeling future cliff-front waves during sea level rise and implications for coastal cliff retreat rates.

Scientific reports·2024

Same author

Sea-level rise may not uniformly accelerate cliff erosion rates.

Nature communications·2023

Same author

Metastate analysis of the ground states of two-dimensional Ising spin glasses.

Physical review. E·2023

Same author

Nontrivial maturation metastate-average state in a one-dimensional long-range Ising spin glass: Above and below the upper critical range.

Physical review. E·2021

Same author

Ordering behavior of the two-dimensional Ising spin glass with long-range correlated disorder.

Physical review. E·2021

Same author

Percolation of Fortuin-Kasteleyn clusters for the random-bond Ising model.

Physical review. E·2020

Search research articles

Related Experiment Video

Updated: May 29, 2026

Asymmetric Walkway: A Novel Behavioral Assay for Studying Asymmetric Locomotion

Asymmetric Walkway: A Novel Behavioral Assay for Studying Asymmetric Locomotion

Published on: January 15, 2016

Complexity of several constraint-satisfaction problems using the heuristic classical algorithm WalkSAT.

Marco Guidetti¹, A P Young

¹Dipartimento di Fisica, Università di Ferrara and INFN-Sezione di Ferrara, Ferrara, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|August 27, 2011

Summary

This summary is machine-generated.

We analyzed constraint-satisfaction problem complexity using the WalkSAT algorithm. Surprisingly, the most difficult problem for WalkSAT was one with a known polynomial-time solution.

More Related Videos

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

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

Published on: December 9, 2012

Related Experiment Videos

Last Updated: May 29, 2026

Asymmetric Walkway: A Novel Behavioral Assay for Studying Asymmetric Locomotion

Asymmetric Walkway: A Novel Behavioral Assay for Studying Asymmetric Locomotion

Published on: January 15, 2016

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

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

Published on: December 9, 2012

Area of Science:

Computer Science
Artificial Intelligence
Computational Complexity Theory

Background:

Constraint-satisfaction problems (CSPs) are fundamental in artificial intelligence and computer science.
Understanding the computational complexity of CSPs is crucial for developing efficient algorithms.
Heuristic algorithms like WalkSAT are often used to tackle complex problems where exact solutions are intractable.

Purpose of the Study:

To evaluate the performance and complexity of the WalkSAT heuristic algorithm on various constraint-satisfaction problems.
To compare the practical difficulty of different CSP models when solved using WalkSAT.
To investigate the relationship between theoretical polynomial-time solvability and practical performance of heuristic algorithms.

Main Methods:

The study employed the WalkSAT heuristic algorithm to solve several instances of constraint-satisfaction problems.
Problem instances were analyzed at large sizes (N) to observe scaling behavior.
The empirical performance of WalkSAT was measured in terms of complexity and success rate.

Main Results:

The computational complexity for solving constraint-satisfaction problems using WalkSAT was found to increase exponentially with problem size (N) across all studied models.
A counterintuitive finding emerged: the CSP model with a theoretically proven polynomial-time solution proved to be the most challenging for the WalkSAT algorithm.
This suggests a divergence between theoretical solvability and practical performance for heuristic methods.

Conclusions:

WalkSAT's performance degrades exponentially with increasing problem size for the studied CSPs.
The hardest CSP instances for WalkSAT are not necessarily those with the highest theoretical complexity.
This highlights the importance of empirical evaluation and the limitations of heuristic algorithms even for problems with efficient theoretical solutions.