Optimal combination of aircraft maintenance tasks by a novel simplex optimization method
type: Item
instance of: scholarly article
title: Optimal combination of aircraft maintenance tasks by a novel simplex optimization method
zbMATH Open document ID: 1394.90227
DOI: 10.1155/2015/169310
author: Huaiyuan Li
author: Dan Lei
author: Kun Liang
author: Tingting Lu
author: Hongfu Zuo
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: Combining maintenance tasks into work packages is not only necessary for arranging maintenance activities, but also critical for the reduction of maintenance cost. In order to optimize the combination of maintenance tasks by fuzzy C-means clustering algorithm, an improved fuzzy C-means clustering model is introduced in this paper. In order to reduce the dimension, variables representing clustering centers are eliminated in the improved cluster model. So the improved clustering model can be directly solved by the optimization method. To optimize the clustering model, a novel nonlinear simplex optimization method is also proposed in this paper. The novel method searches along all rays emitting from the center to each vertex, and those search directions are rightly \(n + 1\) positive basis. The algorithm has both theoretical convergence and good experimental effect. Taking the optimal combination of some maintenance tasks of a certain aircraft as an instance, the novel simplex optimization method and the clustering model both exhibit excellent performance.
Mathematics Subject Classification ID: 90B25
zbMATH DE Number: 6925644
describes a project that uses: fminsearch
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/169310
OpenAlex ID: W1521752770
Wikidata QID: Q59117455
cites work: Low dimensional simplex evolution: a new heuristic for global optimization
cites work: Stochastic Nelder-Mead simplex method -- a new globally convergent direct search method for simulation optimization
cites work: Convergence of the Nelder--Mead Simplex Method to a Nonstationary Point
cites work: Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions
cites work: Effect of dimensionality on the Nelder–Mead simplex method
cites work: New modifications and applications of fuzzy \(C\)-means methodology
cites work: A convergent variant of the Nelder--Mead algorithm
cites work: Frame based methods for unconstrained optimization
cites work: Frame-based ray search algorithms in unconstrained optimization
cites work: Exploratory data analysis of interval-valued symbolic data with matrix visualization
description: scientific article; zbMATH DE number 6925644