An Optimization Method of Multiclass Price Railway Passenger Transport Ticket Allocation under High Passenger Demand

Wang, Bin; Ni, Shaoquan; Jin, Fucai; Huang, Zixu

doi:10.1155/2020/8860115

Cited by 6 publications

(6 citation statements)

References 24 publications

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“…Cao et al [15] established a single objective high-speed railway pricing bi-level programming model based on dynamic games and achieved generalized Nash equilibrium through a relaxation algorithm. Wang et al [16] used gray neural networks (GNNs) to predict the passenger demand of different origins and destinations for multiclass price. Su et al [17] built an optimization model for train ticket pricing decision variables based on a timedependent demand model and a passenger allocation method considering departure time and capacity constraints.…”

Section: Literature Reviewmentioning

confidence: 99%

Pricing Analysis for Railway Multi-Ride Tickets: An Optimization Approach for Uncertain Demand within an Agreed Time Limit

Wang,

Zhu

2023

Mathematics

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A multi-ride ticket with a certain period of validity and maximum number of uses has been introduced into railway transport. The key to pricing the railway multi-ride ticket is determining the uncertain demand within an agreed time limit. Unfortunately, limited studies have focused on this pricing issue. Therefore, we focused on railway multi-ride ticket pricing optimization in two different scenarios: a single train with multiple stops and multiple trains with multiple stops. First, the expected coefficient and incentive coefficient were introduced to describe the decision-making process for multi-ride tickets and simulate the change in passengers’ travel behavior after purchasing multi-ride tickets. Then, passenger demand functions based on a normal distribution were developed to establish the pricing models with maximized revenue. Finally, we adopted improved particle swarm optimization (PSO) to solve the models. Two numerical cases were used to verify the models separately for two application scenarios. The results revealed that the multi-ride ticket pricing problem is not a simple summation of pricing for one-time travel of passengers. In the situation of a single train with multiple stops, the expected coefficient is positively related to the total income, whereas the incentive coefficient has limited influence on the optimal price and total revenue. Furthermore, a multi-ride ticket should allow the passenger to take trains eight times at most in 8 days at the price of CNY 4922 (abbreviated as 4922 (8, 8)) rather than 3785 (8, 6). Railway enterprises should cautiously limit the scope of trains available for multi-ride tickets in the case of multiple trains with multiple stops.

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Section: Literature Reviewmentioning

confidence: 99%

Pricing Analysis for Railway Multi-Ride Tickets: An Optimization Approach for Uncertain Demand within an Agreed Time Limit

Wang,

Zhu

2023

Mathematics

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“…In the research field of multi-train ticket allocation, Song et al [8] established a multi-train ticket allocation joint model considering the ticket-purchasing process and passenger demand during the presale period, and Yan et al [9] set up a ticket allocation model for HSR passenger transport based on a flexible train composition. Wang et al [10] proposed an optimization method of multi-class price and ticket allocation under a high passenger demand.…”

Section: Literature Review 21 Ticket Allocation Problemmentioning

confidence: 99%

“…The lower limit p ij is the product of the published ticket price and the lowest discount. As shown in Equation (10), β ij is the lowest ticket price discount rate in section (i,j).…”

Section: Objective Functionmentioning

confidence: 99%

“…In this paper, we only consider the second-class seat ticket price, and the actual price of a G19 train ticket is CNY 626. According to Equation (10), we take the published price as the upper limit of the price of CNY 662, with an increase of about 5.75%. The lower limit of the price is taken as the upper limit of the price for a parallel train-with a longer travel time and a less comfortable departure time or arrival time-of CNY 598, while the downward proportion is about 4.68%.…”

Section: Basic Datamentioning

confidence: 99%

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Joint Optimization of Ticket Pricing and Allocation on High-Speed Railway Based on Dynamic Passenger Demand during Pre-Sale Period: A Case Study of Beijing–Shanghai HSR

et al. 2022

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Against the background of the gradual deepening of China Railway’s market-oriented reform, and in order to improve the revenue and competitiveness for high-speed railway (HSR) passenger transport, this paper studies the joint optimization problem of the high-speed railway ticket pricing and allocation considering the dynamic demand characteristics of passengers during the pre-sale period. Firstly, we use the compound non-homogeneous Poisson process to describe the passengers' ticket-purchasing process and use the sparse method to simulate the passengers' ticket demand during the pre-sale period. Secondly, taking the ticket pricing and allocation as the decision variables and considering the full utilization of the train seat capacity, a stochastic nonlinear-programming mathematical model is established with the goal of maximizing the train revenue. A particle swarm algorithm is designed to solve the model. Finally, this study takes the G19 train running on the Beijing–Shanghai HSR in China as a case study to verify the effectiveness of the model and algorithm. The results show that the joint optimization scheme of ticket pricing and allocation considering dynamic demand yields a revenue of CNY 601,881, which increases the revenue by 1.01% with a small adjustment of the price compared with the fixed ticket price and pre-allocation scheme. This study provides scientific support for the decisions made by railway transportation enterprises, which is conducive to further increasing the potential ticket revenue and promoting sustainable development.

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“…It should be noted that their study focused on groups of passenger transport vehicles. [25] argued that the rapid construction and development of existing high-speed rail (HSR) lines in China had increased the convenience of this mode of transportation and attracted passengers from other modes of transportation. Yan et al (2021) [26] stated that the rapid growth in demand for intercity travel had put significant pressure on passenger transport networks in various countries.…”

Section: Literature Reviewmentioning

confidence: 99%

Public Transport in Rural Roads: Measures to Increase Its Modal Share in Iran

2021

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The supply and demand management of rural public transport has gained an important place in Iran, given its decreasing trend over the last decade. Accordingly, an effective approach is to analyze stakeholders’ opinions in this field to identify the effective local solutions for increasing the share of this transport method. The used methodology was to design a mixed questionnaire, a part of which included fuzzy pairwise comparison, while, in its first layer, the variables were classified using rotary analysis. In the other two sections of the questionnaire, the respondents were asked to express their opinions regarding the questions in the form of qualitative and words cloud. According to the inquiries made from the users in 20 selected terminals of Iran providing services to more than 85% of rural passengers, the indicators were weighted and divided into two groups based on the rotary analysis. The weighted results obtained from the users’ opinions revealed that the safety, dynamics of incentive policies, and traffic system performance in the rural transport had the highest effects on the micro- and macro-level indicators. In the second section, based on the qualitative questions, a multivariate linear estimation model of the number of rural passengers was constructed. Moreover, in the third section, the users’ suggested keywords focused on policy-making, travel time optimization, quality of services, and safety. Both the second and third sections had an acceptable agreement with the pairwise comparisons. Given the vast area of Iran and the distance between the population centers in the country, the obtained solutions to increase the share of public rural road transport included reducing the desirability of travel with private cars in short rural distances through interaction with industrial towns around metropolises, along with providing such areas with special services to attract passengers to rural transport with occupational goals.

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An Optimization Method of Multiclass Price Railway Passenger Transport Ticket Allocation under High Passenger Demand

Cited by 6 publications

References 24 publications

Pricing Analysis for Railway Multi-Ride Tickets: An Optimization Approach for Uncertain Demand within an Agreed Time Limit

Pricing Analysis for Railway Multi-Ride Tickets: An Optimization Approach for Uncertain Demand within an Agreed Time Limit

Joint Optimization of Ticket Pricing and Allocation on High-Speed Railway Based on Dynamic Passenger Demand during Pre-Sale Period: A Case Study of Beijing–Shanghai HSR

Public Transport in Rural Roads: Measures to Increase Its Modal Share in Iran

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