基于排队模型的电动汽车充电桩数量优化设计  

Optimization Design of Charging Piles for Electric Vehicles Based On Queuing Model

作　　者：李建军[1] 刘力维[1] 黄振生[1] 

机构地区：[1]南京理工大学理学院,江苏南京210094

出　　处：《数学的实践与认识》2017年第9期212-218,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金面上项目(11471160)

摘　　要：通过对电动汽车充电行为的分析,采用顾客带有不耐烦和止步行为的有限容量M/M/C/N排队模型对充电场所充电服务系统进行建模.通过求解模型的平衡方程,获得系统稳态下的队长分布及其它多项性能指标.以系统性能指标为基础,从经济效益与社会效益的角度提出了充电服务系统优化设计的目标函数,并通过数字例子对优化模型进行了说明.分析了模型参数对系统充电桩最优配置数的影响,从中可看出,系统容量、顾客的不耐烦率及顾客的止步概率等参数对充电桩数量的优化设计都会产生不可忽视的影响.By the analysis of electric vehicles＇ charging behavior, the M/M/c/N queuing model with impatient and balking customers has been used to describe the charging service system. We derive the distribution for the steady-state queue length, and obtain some important performance measures. Based on the performance measures we obtained, the objective function for optimization design is established. We analysis the method for solving the objective function, and present a numerical example. Finally, we perform sensitivity analysis through numerical experiments. It can be seen that the parameters such as system capacity, impatient rate and balking probability of customers produce influence upon optimization design of charging pile to some extent.

关 键 词：电动汽车 充电桩 排队模型 优化设计 

分 类 号：O226[理学—运筹学与控制论]