摘要
建立了存货影响销售率的生产库存系统最优控制模型.假设存货与销售率的关系是正相关的,研究了存货影响销售率的生产库存系统.通过构造哈密顿函数并应用极小值原理、拉普拉斯变换法对模型进行求解,确定了最优控制函数以及与最优控制相对应的状态变量的最优轨线,得到存货影响销售率的生产库存系统最优控制策略.研究结果为企业规模化生产制定生产计划提供了理论依据.
An optimal control model for production-inventory system under stock-dependent selling rate is established in the study. Assuming that inventory is positively related to sales, the model is solved by the Hamihonian function, application of minimum principle and Laplace transform method. The optimal control function and the corresponding optimal control of the state variables of the optimal trajectory are determined. Moreover, the optimal control strategy for production-inventory system under stock-dependent obtained. The research provides theoretical basis for selling rate is making large-scale production plan of enterprises.
出处
《江西理工大学学报》
CAS
2016年第1期102-104,共3页
Journal of Jiangxi University of Science and Technology
基金
国家自然科学基金项目(11461021)
广西教育厅高校科研重点项目(ZD2014131)
贺州学院校级科研项目(2014ZC02
2014YBZK06)
关键词
生产库存系统
存货影响销售率
最优控制
极小值原理
production-inventory system
stock-dependent selling rate
optimal control
minimum principle
