在分数混沌供应链模型中分析和控制混乱现象
Muhamad Deni Johansyah1, Aceng Sambas2,3, Song Zheng4,5
1Department of Mathematics, Universitas Padjadjaran, Jatinangor, Sumedang, 45363, Indonesia.
Heliyon
|December 17, 2024
概括
这项研究使用先进的数学方法增强了分量订单供应链管理 (FOSCM) 模型. 该研究证实了解决方案的存在,并分析了系统动态,以改善供应链控制.
科学领域:
- 运营研究 运营研究
- 应用数学 应用数学 应用数学
- 控制理论 控制理论
背景情况:
- 供应链管理 (SCM) 对于产品交付至关重要,需要持续的优化研究.
- 现有的模型有局限性,需要先进的数学方法来更深入地理解.
- 分数式微积分为建模复杂的SCM动态提供了一个新的框架.
研究的目的:
- 研究和增强分量订单供应链管理 (FOSCM) 模型.
- 严格分析定性方面,包括解决方案的存在和独特性.
- 探索复杂的动态,并为FOSCM系统引入控制策略.
主要方法:
- 阿多米亚分解法 (ADM) 用于解决FOSCM模型.
- 根据阿塞拉-阿斯科利的原则,证明至少有一个解决方案的存在.
- 利亚普诺夫指数 (LE),分叉图 (BD),复杂性分析 (CA) 和 0-1 测试用于动态分析.
- 线性反控制 (LFC) 用于系统稳定.
主要成果:
- 卡普托的FOSCM模型被证明至少有一个解决方案.
- 通过使用LE,BD,CA和0-1测试来识别混乱和分叉等复杂的动态.
- 证明了线性反控制 (LFC) 方法在控制FOSCM模型中的有效性.
- 数字模拟证实了分析结果.
结论:
- 分数式微积分为先进的SCM建模提供了一个强大的框架.
- 该研究为FOSCM系统及其控制建立了理论基础.
- 通过先进的控制技术,这些发现为更稳定,更有效的供应链运营铺平了道路.
相关概念视频
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