A new dual-population constrained multi-objective evolutionary optimization algorithm with repair constraint handling for structural optimization
- URL: http://arxiv.org/abs/2607.12240v1
- Date: Tue, 14 Jul 2026 00:57:07 GMT
- Title: A new dual-population constrained multi-objective evolutionary optimization algorithm with repair constraint handling for structural optimization
- Abstract summary: We introduce a novel constrained evolutionary optimization algorithm for multi-objective engineering applications.<n>The algorithm employs two interacting populations that exchange information, enabling effective global exploration and reducing the risk of convergence to local optima.<n>The proposed algorithm is tested on three engineering problems: the 72-bar truss, the 120-bar truss, and each involving hundreds of nonlinear failure constraints.
- Score: 0.0
- License: http://creativecommons.org/licenses/by-nc-nd/4.0/
- Abstract: Structural optimization problems often involve a large number of decision variables and highly non-convex feasible regions, making convergence to the true Pareto front extremely challenging. Even when convergence is achievable, it typically requires thousands of function evaluations, resulting in significant computational cost. This highlights the need for efficient and robust optimization algorithms for real-world engineering applications. In this study, we introduce a novel constrained multi-objective evolutionary algorithm, termed DPCME. The algorithm employs two interacting populations that exchange information, enabling effective global exploration and reducing the risk of convergence to local optima. To further enhance performance, a recent repair-based constraint-handling technique is incorporated, and alternative repair approaches are proposed and systematically evaluated. The proposed algorithm is tested on three engineering problems: the 72-bar truss, the 120-bar truss, and a chemical tanker structure, each involving hundreds of nonlinear failure constraints. Its performance is evaluated against state-of-the-art constrained multi-objective optimization algorithms from the latest PlatEMO package. A total of 43 algorithms are initially tested, from which the 12 best-performing methods are selected for detailed comparison. The results demonstrate that DPCME achieves superior or competitive convergence and diversity across all test cases, and that the inclusion of repair-based constraint handling further improves its performance.
Related papers
- New Hybrid Fine-Tuning Paradigm for LLMs: Algorithm Design and Convergence Analysis Framework [52.69678300445233]
Fine-tuning Large Language Models (LLMs) typically involves either full fine-tuning, which updates all model parameters, or.<n>Efficient Fine-Tuning (PEFT) adjusts a small subset of parameters.<n>We propose a novel hybrid fine-tuning approach that jointly updates both LLMs and PEFT modules using a combination of zeroth-order and first-order optimization methods.
arXiv Detail & Related papers (2026-04-10T22:39:38Z) - A Framework for Combining Optimization-Based and Analytic Inverse Kinematics [53.66628333687382]
Twolytic and optimization methods for inverse kinematics (IK) problems have been deeply studied in the history of robotics.<n>We present a new formulation for IK avoidance that uses an IK solution that is fundamentally easier for ours to solve.
arXiv Detail & Related papers (2026-02-04T22:23:32Z) - Evaluating the effectiveness, reliability and efficiency of a multi-objective sequential optimization approach for building performance design [0.8168080812068832]
This paper proposes and evaluates a sequential approach for multi-objective design optimization of building geometry, fabric, HVAC system and controls for building performance.<n>The performance of the sequential approach is benchmarked against a full factorial search and compared to the NSGA-II algorithm.<n>This research indicates that a sequential optimization approach is a highly efficient and robust alternative to the standard NSGA-II algorithm.
arXiv Detail & Related papers (2024-12-13T08:00:00Z) - Evolutionary Alternating Direction Method of Multipliers for Constrained
Multi-Objective Optimization with Unknown Constraints [17.392113376816788]
Constrained multi-objective optimization problems (CMOPs) pervade real-world applications in science, engineering, and design.
We present the first of its kind evolutionary optimization framework, inspired by the principles of the alternating direction method of multipliers that decouples objective and constraint functions.
Our framework tackles CMOPs with unknown constraints by reformulating the original problem into an additive form of two subproblems, each of which is allotted a dedicated evolutionary population.
arXiv Detail & Related papers (2024-01-02T00:38:20Z) - Analyzing and Enhancing the Backward-Pass Convergence of Unrolled
Optimization [50.38518771642365]
The integration of constrained optimization models as components in deep networks has led to promising advances on many specialized learning tasks.
A central challenge in this setting is backpropagation through the solution of an optimization problem, which often lacks a closed form.
This paper provides theoretical insights into the backward pass of unrolled optimization, showing that it is equivalent to the solution of a linear system by a particular iterative method.
A system called Folded Optimization is proposed to construct more efficient backpropagation rules from unrolled solver implementations.
arXiv Detail & Related papers (2023-12-28T23:15:18Z) - Backpropagation of Unrolled Solvers with Folded Optimization [55.04219793298687]
The integration of constrained optimization models as components in deep networks has led to promising advances on many specialized learning tasks.
One typical strategy is algorithm unrolling, which relies on automatic differentiation through the operations of an iterative solver.
This paper provides theoretical insights into the backward pass of unrolled optimization, leading to a system for generating efficiently solvable analytical models of backpropagation.
arXiv Detail & Related papers (2023-01-28T01:50:42Z) - GPSAF: A Generalized Probabilistic Surrogate-Assisted Framework for
Constrained Single- and Multi-objective Optimization [7.8140593450932965]
This paper proposes a generalized probabilistic surrogate-assisted framework (GPSAF)
GPSAF is applicable to a broad category of unconstrained and constrained, single- and multi-objective optimization algorithms.
arXiv Detail & Related papers (2022-04-06T13:22:30Z) - A novel multiobjective evolutionary algorithm based on decomposition and
multi-reference points strategy [14.102326122777475]
Multiobjective evolutionary algorithm based on decomposition (MOEA/D) has been regarded as a significantly promising approach for solving multiobjective optimization problems (MOPs)
We propose an improved MOEA/D algorithm by virtue of the well-known Pascoletti-Serafini scalarization method and a new strategy of multi-reference points.
arXiv Detail & Related papers (2021-10-27T02:07:08Z) - Batched Data-Driven Evolutionary Multi-Objective Optimization Based on
Manifold Interpolation [6.560512252982714]
We propose a framework for implementing batched data-driven evolutionary multi-objective optimization.
It is so general that any off-the-shelf evolutionary multi-objective optimization algorithms can be applied in a plug-in manner.
Our proposed framework is featured with a faster convergence and a stronger resilience to various PF shapes.
arXiv Detail & Related papers (2021-09-12T23:54:26Z) - Bilevel Optimization: Convergence Analysis and Enhanced Design [63.64636047748605]
Bilevel optimization is a tool for many machine learning problems.
We propose a novel stoc-efficientgradient estimator named stoc-BiO.
arXiv Detail & Related papers (2020-10-15T18:09:48Z) - EOS: a Parallel, Self-Adaptive, Multi-Population Evolutionary Algorithm
for Constrained Global Optimization [68.8204255655161]
EOS is a global optimization algorithm for constrained and unconstrained problems of real-valued variables.
It implements a number of improvements to the well-known Differential Evolution (DE) algorithm.
Results prove that EOSis capable of achieving increased performance compared to state-of-the-art single-population self-adaptive DE algorithms.
arXiv Detail & Related papers (2020-07-09T10:19:22Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.