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An Advanced Simulation and Optimization for Railway Transportation of Passengers: Crowdfunding Train

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Part of the book series: Uncertainty and Operations Research ((UOR))

Abstract

Railway transportation is an important mechanical infrastructure around the globe and is becoming more and more popular with citizens because of reliability and punctuality. However, it is practically challenging and theoretically important to increase efficiency of railway operations and the utilization efficiency of the existing infrastructures. Crowdfunding Train is the train based on crowdfunding method, which caters to the real demand of passengers. Xi’an Railway Bureau drove two crowdfunding trains between Xi’an and Yulin for the first attempt in China from Oct. 7th to Oct. 8th in 2017. This article describes this event and a series of mathematical models is built for the economic simulations of crowdfunding trains, especially about incomes, costs and profits, and then takes the crowdfunding train K8188 and K8187 in China as a case analysis to utilize models.

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Abbreviations

A :

The ticket rank called Hard seat

B :

The ticket rank called Hard sleeper

C :

The ticket rank called Soft berth

C Q :

The total costs, unit: yuan

\(C_{Q}^{F}\) :

The total fixed costs, unit: yuan

\(C_{Q}^{V}\) :

The total variable costs, unit: yuan

\(C_{R}^{VC}\) :

The variable cost by carriage in the rank R, unit: yuan per carriage

\(C_{R}^{VT}\) :

The variable cost by quantity in the rank R, unit: yuan per ticket

\(f_{i} \left( \cdots \right)\) :

The function for the individual decisions of passengers

FB :

The feed backs for passengers who buy tickets of the crowdfunding train, unit: yuan

i :

The through variable with no meaning

I Q :

The total income of tickets, unit: yuan

Int(number) :

The function to calculate the maximum integer below the number

L R :

The ticket quota of train carriages in the rank R, unit: ticket(s) per carriage

\(maxQ_{R}^{C}\) :

The maximum train carriage quantity in the rank R, unit: carriage(s)

\(maxQ_{R}^{T}\) :

The maximum sold ticket quantity in the rank R, unit: ticket(s)

Mod (number, divisor):

The function to calculate the remainder of the number after it is divided by the divisor, e.g. Mod(3,2) = 1, Mod(–3,2) = 1

n P :

The number of passengers who may participate in the crowdfunding train x

n R :

The number of ticket ranks

P :

The total profit of the crowdfunding train, unit: yuan

P R :

The price of the ticket in the rank R, unit: yuan per ticket

\(Q_{R}^{C}\) :

The quantity of train carriages in the rank R, unit: carriage(s)

\(Q_{R}^{T}\) :

The quantity of sold tickets in the rank R, unit: ticket(s)

R :

The rank of tickets that passengers could participate in

s :

The identification of railway stations

\(t_{s}^{AE}\) :

The arrival point-in-time of the train at the Railway Station s

\(t_{s}^{DC}\) :

The deadline point-in-time of checking tickets at the Railway Station s

\(t_{s}^{DE}\) :

The departure point-in-time of the train at the Railway Station s

\(t_{x}^{B}\) :

The beginning point-in-time of the crowdfunding train x

\(t_{x}^{C}\) :

The current point-in-time of the crowdfunding train x

\(t_{x}^{D}\) :

The deadline point-in-time of the crowdfunding train x

\(t_{x}^{F}\) :

The first point-in-time of the crowdfunding train x when the target achieved

W i :

The individual decisions of passengers whether to purchasing the ticket in the rank R or not, which equals to 1 when yes and equals to 0 for when not

x :

The code of the crowdfunding train

P:

The changes of the total profit of the crowdfunding train, unit: yuan

\(\Delta Q_{R}^{C}\) :

The changes of the quantity of train carriages in the rank R, unit: carriage(s)

\(\Delta Q_{R}^{T}\) :

The changes of the quantity of sold tickets in the rank R, unit: ticket(s).

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Acknowledgements

The authors are indebted to anonymous referees for their thoughtful comments and Vinoth Selvamani for providing editing guidance. Jiawei Gui was rewarded by the National Scholarship of China for doctoral students and appreciated that. The work described in this article was supported in part by the Strategic Planning Research Project of Ministry of Transport of China [2018-7-9] and [2018-16-9], in part by the Chang'an University Excellent Doctoral Dissertation Project of Chinese Universities Scientific Fund of China [300102239718].

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Gui, J., Wu, Q. (2020). An Advanced Simulation and Optimization for Railway Transportation of Passengers: Crowdfunding Train. In: Li, X., Xu, X. (eds) Proceedings of the Sixth International Forum on Decision Sciences. Uncertainty and Operations Research. Springer, Singapore. https://doi.org/10.1007/978-981-13-8229-1_24

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