地铁楼梯宽度的排队系统仿真优化

系统仿真学报 ›› 2016, Vol. 28 ›› Issue (1): 129-138.

地铁楼梯宽度的排队系统仿真优化

蒋阳升^1,2,3, 朱娟秀^1,2,3, 胡路^1,2,3, 韩世凡^1,2,3

1.西南交通大学交通运输与物流学院,四川成都 610031;
2.综合运输四川省重点实验室,四川成都 610031;
3.综合交通运输智能化国家地方联合工程实验室,四川成都 610031

收稿日期:2014-09-13 修回日期:2015-01-16 发布日期:2020-07-02
作者简介:蒋阳升(1976-),男,湖南衡阳,博士,教授,博导,研究方向为城市轨道交通规划;朱娟秀(1989-),女,四川南充,博士生,研究方向为城市轨道交通规划。
基金资助:
国家自然科学青年基金(51108391)

Queuing System Simulation Optimization of Subway Stair Width

Jiang Yangsheng^1,2,3, Zhu Juanxiu^1,2,3, Hu Lu^1,2,3, Han Shifan^1,2,3

1. School ofTransportation and Logistics, Southwest Jiaotong University, Chengdu 610031, Sichuan, China;
2. Key Laboratory of Comprehensive Transportation of Sichuan Province, Chengdu 610031, Sichuan, China;
3. National United Engineering Laboratory of Integrated and Intelligent Transportation, Chengdu 610031, Sichuan, China

Received:2014-09-13 Revised:2015-01-16 Published:2020-07-02

摘要/Abstract

摘要： 将楼梯及客流抽象为到达和服务均具有一般随机性且服务时间与楼梯上的行人数n和楼梯角度φ相关的G/G(n, φ)/C/C状态相关排队系统,建立离散事件仿真模型并设计宽度优化算法,提出一种新的基于排队系统仿真模型的楼梯宽度优化方法。将该方法与现有M/G(n)/C/C解析优化方法和D/D/1/C解析优化方法(现有地铁设计规范)进行对比。结果显示：仿真优化方法得到的宽度值更高且能满足各种客流条件下的设计服务水平要求;2种解析优化方法得到的宽度不能满足绝大多数客流条件下的设计服务水平要求;相比之下,仿真优化方法带来了楼梯性能的明显改善且具有较高的指标-宽度弹性系数。

关键词: 城市轨道交通, 宽度设计, 仿真优化, 楼梯, 随机性, 状态相关性

Abstract: Subway stair and passenger flow are described as a G/G(n, φ)/C/C state-dependent queuing system with a general random arrival interval and the general random service time that depends on the passengers number n and stair gradient φ. Simulation model of the queuing system was designed and optimization algorithm was developed. Thus, a new optimization method based on queuing system simulation for subway stair width was proposed. The simulation optimization method, the M/G(n)/C/C, and the D/D/1/C queuing model (the existing design code) were compared. The results show that: the stair widths of the proposed method are larger than those of the other two methods and satisfy the desired level of service under various passenger flows, while widths of the other two methods fail to meet the requirement in most cases; the new method brings significant improvement in performance measures and has high elasticity coefficient of performance measures.

Key words: urban rail transit, width design, simulation optimization, stair, randomness, state-dependence

中图分类号:

U291.69

蒋阳升, 朱娟秀, 胡路, 韩世凡. 地铁楼梯宽度的排队系统仿真优化[J]. 系统仿真学报, 2016, 28(1): 129-138.

Jiang Yangsheng, Zhu Juanxiu, Hu Lu, Han Shifan. Queuing System Simulation Optimization of Subway Stair Width[J]. Journal of System Simulation, 2016, 28(1): 129-138.

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