企业产品种群规模稳定性和年龄结构优化模型  

Optimization model for enterprise product population size stability and age structure

作　　者：伊辉勇[1] 凌艳涛 Yi Huiyong Ling Yantao(College of Business Administration, Chongqing University of Science and Technology, Chongqing 401331, China)

机构地区：[1]重庆科技学院工商管理学院,重庆401331

出　　处：《系统工程学报》2016年第5期575-583,共9页Journal of Systems Engineering

基　　金：国家自然科学基金资助项目(71102144);重庆市自然科学基金资助项目(cstc2013jcyjA60003)

摘　　要：面对同一顾客群体的竞争性企业所提供的产品族谱之间具有相互替代、交叉衍生的互动关系.将企业产品族谱视为产品种群,探求如何确定产品种群的出生率(新产品开发率)和死亡率(老产品淘汰率)以使企业产品种群获得持续活力.建立了不合理产品种群的修正模型,通过产品内部演化的动力学原理,揭示了维持产品稳定的条件和最终稳定状态.在此基础上以产品淘汰量为优化目标,建立了最优种群规模和年龄结构平衡模型.利用线性规划方法,通过控制出生率和存活率来优化产品种群结构,最终使产品种群结构稳定在最优状态.最后仿真验证模型的可行性和有效性.For the same customer groups, product spectrums are mutual substitutes for and derivatives from each other for competitive enterprises. This paper treats the enterprise products pectrum as product population, and explores how to determine the product population＇s birth rate （the rate of new product development）and mortality （the elimination rate of old products） in order to enable enterprises to obtain sustainable product pop- ulation activity. First, a modified model about abnormal product population is set up through the evolutionary dynamics of internal products to reveal the products＇ stable conditions and the final state. The number of the phase-out products is regarded as the optimization target. The optimal population size and age structure balance model are presented. Linear programming is used to control the birth rate and the survival rate, and then the product population structure is optimized in order to keep the product structure in an optimal state. Finally, an simulation verified the feasibility and effectiveness of the model.

关 键 词：产品维护复杂性 产品种群 种群规模 年龄结构 线性规划 

分 类 号：F272.3[经济管理—企业管理]