深圳大学学报（理工版）2025，Vol.42Issue(1)：105-112,8.DOI:10.3724/SP.J.1249.2025.01105
考虑旅客分类的高速铁路票价与票额综合优化
Comprehensive optimization of high-speed railway ticket pricing and quota considering passenger classification
摘要
Abstract
Differential pricing for high-speed railway(HSR)trains is an effective method for adjusting passenger flow and optimizing the supply-demand balance of transportation resources,which can improve the train occupancy and increase HSR ticket revenue.To address issues in HSR ticket pricing,we introduce the idea of revenue management,analyze the sensitivity of passengers from different economic levels to ticket prices,and then put forward a combined optimization method for ticket prices and quotas considering passenger classification,with travel time and ticket price as indicators to measure passenger travel costs,and an elastic demand function is constructed to describe the changing relationship between passenger flow and ticket price.A logit model is then used to calculate the passenger flow sharing ratio for each train.Based on the model,the optimization model of ticket price and quota is developed,with the ticket price and quota of different trains between origin destination(OD)pairs as decision variables while considering constraints such as the upper and lower limit limits of train price and train capacity.To solve the model,an algorithm combining simulated annealing algorithm and cardinal optimizer(COPT)solver is designed to decompose the model into two stages.A case study on the Beijing-Shanghai high-speed railway train is conducted to analyze the fare formulation.The results show that compared with the existing single pricing scheme and the comprehensive optimization scheme without considering the passenger type,the expected revenue from passenger tickets of the comprehensive optimization scheme with passenger classification increases by 5.03%and 1.02%,respectively.This indicates that considering passenger classification while jointly optimizing the ticket prices and quotas can effectively improve the occupancy rate and ticket revenue of high-speed railway.关键词
交通运输规划与管理/收益管理/高速铁路/票价/票额/联合优化/杉数求解器COPTKey words
transportation planning and management/revenue management/high-speed railway/ticket price/ticket amount/joint optimization/cardinal optimizer(COPT)solver分类
交通运输引用本文复制引用
李鑫杰,刘斌,田志强,马超凡..考虑旅客分类的高速铁路票价与票额综合优化[J].深圳大学学报（理工版）,2025,42(1):105-112,8.基金项目
National Natural Science Foundation of China(72161023,71761023) （72161023,71761023）
Science and Technology Department Plan Project of Gansu Province(22JR5RA379,22JR11RA159) （22JR5RA379,22JR11RA159）
Research Project of Higher Education Department of Gansu Province(2022QB-060) （2022QB-060）
Open Subject Foundation of Key Laboratory of Railway Industryon Plateau Railway Transportation Intelligent Management and Control(GYYSHZ2302) 国家自然科学基金资助项目(72161023,71761023) （GYYSHZ2302）
甘肃省科技厅计划资助项目(22JR5RA379,22JR11RA159) （22JR5RA379,22JR11RA159）
甘肃省教育厅高等学校科研基金资助项目(2022QB-060) （2022QB-060）
高原铁路运输智慧管控铁路行业重点实验室开放课题资助项目(GYYSHZ2302) （GYYSHZ2302）
