疫情下城市轨道交通车底运用计划编制

doi:10.16265/j.cnki.issn1003-3033.2022.S1.2310

摘要/Abstract

摘要：

为保证城市轨道交通安全、有序运营,研究新型冠状病毒肺炎(COVID-19)疫情期间城市轨道交通车底运用计划编制问题。首先,考虑车底检修作业、接续的通风作业、快速消毒作业和深度消毒作业的运行累计时间和作业时间约束,尤其是检修作业与消毒作业同时进行的作业时间约束,以总车底接续费用最少为目标构建数学模型;其次,利用GAMS验证数学模型的有效性和解空间非空;然后,针对求解器求解时间长、计算规模小等缺陷,设计快速的求解算法;最后,针对南京地铁3号线疫情期间的运行图,求解车底运用计划并进行输出展示。结果表明:计算评价指标中,使用车底数21列,进行快速消毒41次,深度消毒33次,车底运用率49.72%,运算耗时14 ms。

关键词: 城市轨道交通, 车底运用计划, 新型冠状病毒肺炎(COVID-19), 消毒作业, 快速求解

Abstract:

In order to ensure the safety and orderly operation of urban rail transit, the train stock utilization plan during the COVID-19(Corona Virus Disease 2019) outbreak was studied. Firstly, a mathematical model was built with the objective of minimizing the total train stock utilization cost, considering constraints of cumulative train stock travelling time and operation time of maintenance, continuous ventilation operation, rapid disinfection operation and deep disinfection operation, especially the operation time constraint when simultaneous maintenance and disinfection operations at the same time. Secondly, the effectiveness and non-empty solution space of the mathematical model are verified by GAMS. An effective algorithm was proposed for solving the defects of a long time and small calculation scale of the solver. Finally, the proposed algorithm was used to solve the train stock utilization plan, based on the timetable of Nanjing Metro Line 3 during the epidemic period. The results show that, in the calculation of evaluation indicators, the number of train stocks was 21, rapid disinfection was performed 41 times, and deep disinfection was performed 33 times. The application rate of the train stock was 49.72%, and the time cost was 14 ms.

Key words: metro, train stock utilization plan, corona virus disease 2019 (COVID-19), disinfection operation, fast solving

陈然, 吴首蓉, 路超. 疫情下城市轨道交通车底运用计划编制[J]. 中国安全科学学报, 2022, 32(S1): 51-56.

CHEN Ran, WU Shourong, LU Chao. Study on generating train stock utilization plans during epidemic period[J]. China Safety Science Journal, 2022, 32(S1): 51-56.

图/表 3

表1

符号说明

符号	符号说明	符号	符号说明
I、i	实际运行线集合、运行线索引	$s i d$ 、 $s i a$	运行线i始发站、终到站
I_d	虚拟运行线集合	$b s d$	若车站s紧邻车辆段为1,否则为0
J、j	车底集合、车底索引	$T j f$ 、 $T j d$ /s	j自上次快速或深度消毒累计运行时间
S、s	车站集合、车站索引	T_s、T_e/s	开始运营时间、结束运营时间
T_i/s	运行线i的旅行时间	$L j r$ /km	j自上次检修以来累计运行里程
L_i/km	运行线i的里程	$L m a x r$ /km	车底检修后最大允许运行里程
T/s	任意时刻	$T m a x f$ 、 $T m a x d$ /s	车底快速、深度消毒后最大允许运行时间
T_r/s	检修作业时间	T_t/s	列车在折返站折返作业时间
$T i a$ 、 $T i d$ /s	运行线i终到站到达、始发站出发时间	$T d f$ 、 $T d d$ /s	车底快速消毒、深度消毒作业时间
T_a/s	列车在折返站通风作业时间	G	一个足够大的数
x_i_,_i'_,_j	0~1变量,j承担i、i'的运行任务则为1,否则0	$y i, j d$	0~1变量,j承担i的运行任务后是否进行深度消毒作业,若是为1,否则为0
$y i, j f$	0~1变量,j承担i的运行任务后是否进行快速消毒作业,若是则为1,否则为0	$y i, j r$	0~1变量,j承担i的运行任务后是否进行检修作业,若是为1,否则为0
c_i_,_i'	i与i'的接续费用	—	—

表1

图1

表2

参数数据

参数名	参数值	参数名	参数值
$T m a x f$	80	$T d f$	10
$T m a x d$	180	T_r	720
$T d d$	60	T_t+T_a	3
高峰追踪间隔	10	平峰追踪间隔	20

表2

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