基于Lotka-Volterra的产品设计需求演化共生关联研究

苏建宁; 兰江; 王世杰; 邱凯; 杨志强

doi:10.19554/j.cnki.1001-3563.2026.14.010

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包装工程（设计栏目） ›› 2026, Vol. 47 ›› Issue (14) : 109-118. DOI: 10.19554/j.cnki.1001-3563.2026.14.010

工业设计

基于Lotka-Volterra的产品设计需求演化共生关联研究

苏建宁^a,*, 兰江^a, 王世杰^b, 邱凯^a, 杨志强^b

作者信息 +

Evolution and Symbiotic Correlation of Product Design Requirements Based on Lotka-Volterra

SU Jianning^a,*, LAN Jiang^a, WANG Shijie^b, QIU Kai^a, YANG Zhiqiang^b

Author information +

文章历史 +

摘要

目的针对产品设计需求间复杂动态关系导致的估计偏差问题,提出一种基于Lotka-Volterra的需求演化共生关联分析方法,以探讨需求间相互作用强度及动态演化趋势。方法首先,挖掘系列化产品的评论文本并逐级归纳聚类,结合评测结果获取各代需求满足度;其次,基于满足度代序数据获取核心需求与其他需求间相关系数,筛选显著关联需求;然后,基于Lotka-Volterra方程,引入外部扰动,构建核心需求与显著关联需求的共生关联演化模型,分析需求间相互作用;最后,对满足度代序数据分段拟合,采用Radau法和最小二乘法求解模型系数,探讨核心需求与显著关联需求间作用关系和演化趋势。结果以GoPro便携式运动相机为例,分析便于携带核心需求与其显著关联需求间的作用关系和演化趋势,验证了方法适用性。结论该方法能够探索需求间相互作用及其动态变化,为需求分析提供了新的研究视角,将有效支持产品的迭代优化。

Abstract

In response to estimation deviations caused by complex dynamic relationships among product design requirements, the work aims to propose an evolution and symbiotic correlation analysis method of Lotka-Volterra-based requirements to explore interaction strength and dynamic evolution trends among requirements. Firstly, product review texts across multiple generations were mined, hierarchically summarized and clustered, and combined with evaluation results to obtain requirement satisfaction for each product generation. Secondly, based on the generation-wise satisfaction data, correlation coefficients between the core requirement and others were derived to filter significantly associated requirements. Thirdly, based on Lotka-Volterra equations, external disturbances were incorporated to construct a symbiotic correlation evolution model for the core requirement and its significantly associated requirements to analyze interactions among requirements. Finally, the generation-wise satisfaction data were piecewise-fitted, with model coefficients solved via the Radau method and the least-squares algorithm, to explore interaction relationships and evolutionary trends between the core requirement and its significantly associated requirements. With GoPro portable action cameras as an example, the interactions and evolution trends between portability as a core requirement and its significantly associated requirements were analyzed, and the applicability of the proposed method was validated. The method can be used to explore interactions among requirements and their dynamic evolution, providing a novel research perspective for requirement analysis, and effectively supporting iterative product optimization.

导出引用1

苏建宁, 兰江, 王世杰, 邱凯, 杨志强. 基于Lotka-Volterra的产品设计需求演化共生关联研究[J]. 包装工程. 2026, 47(14): 109-118 https://doi.org/10.19554/j.cnki.1001-3563.2026.14.010

SU Jianning, LAN Jiang, WANG Shijie, QIU Kai, YANG Zhiqiang. Evolution and Symbiotic Correlation of Product Design Requirements Based on Lotka-Volterra[J]. Packaging Engineering. 2026, 47(14): 109-118 https://doi.org/10.19554/j.cnki.1001-3563.2026.14.010

中图分类号： TB472

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