Discrete Dynamics in Nature and Society
Volume 2015 (2015), Article ID 452035, 14 pages
http://dx.doi.org/10.1155/2015/452035

Research Article

Level of Service Analysis Based on Maximum Number of Passengers in Waiting Room of Railway Passenger Station Using Arena Simulation

Bo Yang,¹ Xuedong Yan,¹ and Dahai Guo²

¹State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing 100044, China
²U.A. Whitaker College of Engineering, Florida Gulf Coast University, 10501 FGCU Boulevard South, Fort Myers, FL 33965-6565, USA

Received 11 May 2015; Revised 25 July 2015; Accepted 27 July 2015

Academic Editor: Filippo Cacace

Copyright © 2015 Bo Yang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract.

The level of service is an important aspect of the operation and management at a railway passenger station. Particularly, the level of service in waiting room (LOSWR) is one of the most important influential factors in deciding passengers’ satisfaction. This paper proposes a model for finding the LOSWR based on the maximum number of passengers, and an Arena simulation model that simulates passengers’ aggregation behaviors in the waiting room is presented for analyzing the LOSWR. Through the simulation, we demonstrate how the passenger advanced arrival time and the accompany rate influence the maximum number of passengers and the LOSWR. In addition, the simulation also illustrates the effect utilities and the priority of different measures that can be used to improve the LOSWR. In detail, the simulation results demonstrate that the passenger advanced arrival time and advanced check-out time have much stronger effect utilities on the maximum number of passengers and the LOSWR than other discussed factors. The simulation suggests that the Arena is an effective simulation platform for analyzing complex passengers-related behaviors at railway passenger station.

1. Introduction

Railway passenger transport faces a great competition from the rapid development of other modes of transportation; it is imperative to improve its quality of services. Improving the level of service at railway passenger station is the most effective way to enhance the competitiveness of railway passenger transport [1–3]. The level of service at railway passenger station can be divided into the following parts based on the service process, including the level of service in security check, buying or picking up the tickets, waiting room and passengers’ departure, and so forth.

Among the above service steps, the waiting room is the most important link to ensure the passengers’ arrival and departure smoothly. It can be characterized by its maximum number of passengers and maximum residence time for passengers [4–6]. Passengers’ satisfaction is significantly decided by their experience in the waiting room. Particularly, unusual rules of passengers’ aggregation in waiting room could arise due to occasions, such as morning and evening rush hours, holidays, and festivals which will lead to the crowded passenger flow and bring a series of difficulties to the station’s operation and management. Based on the above characteristics, a further analysis of the level of service in waiting room (LOSWR) based on passengers’ satisfaction is needed and useful for both the passengers and operators.

Some studies have been conducted to evaluate the LOSWR based on passengers’ satisfaction. For example, a system based on passengers’ satisfaction in the waiting room is established by adopting Back Propagation (BP) neural network algorithm and a three-tier model and verified by comparing it with a fuzzy comprehensive evaluation method [7]. Thus, the level of service in waiting room can be derived. To find the relationship between the global customer satisfaction and quality of services in the waiting room, a structural equation model is formulated [8]. The main findings are that the service characteristics like the area of waiting room, cleanliness, and comfort level in waiting room will have positive impacts on passengers’ satisfaction.

Since much information in the waiting room is unascertained during the process of level of service evaluation, unascertained measure theory could be applied in the general passengers’ satisfaction. Based on establishing the evaluation index system, Wu and Ma [9] apply the information entropy theory to calculate the weight of each indicator, establishing the levels of service and the set of significant factors to determine the LOSWR. The function of Wu and Ma’s study is to identify the key factors in improving the LOSWR. The maximum number of passengers in waiting room contributes to the per capita waiting area and walking environment. The study in [10], through setting the maximum number of passengers as target function in sensitivity analyses, finds that the maximum number of passengers in the waiting room is influenced by various factors, such as the passenger advanced arrival time. The study shows that the passenger advanced arrival time has a significant effect on both the maximum number of passengers and average waiting time in waiting room, thus indirectly influences the LOSWR.

However, a number of limitations exist in the previous work about the LOSWR based on passengers’ satisfaction. On one hand, previous studies mainly emphasize on the evaluation of existing service facilities and seeking for remedial measures to improve the level of service. A dynamically and real-timely monitoring and controlling method is unavailable which allows the operators to take real-time or even preventive measures to maintain the LOSWR at a higher grade. On the other hand, the influential factors of the LOSWR have not been well discussed. More importantly, for the different measures that can be used to improve the LOSWR, their effect utilities and priority are unavailable currently for the operators’ reference when the LOSWR needs to be improved.

In this study, the purpose of this work is to provide an evaluation model for estimating the LOSWR based on passengers’ satisfaction with the method of simulating the operation process from passengers’ arrival to departure at a railway passenger station. For this purpose, Fruin evaluation method [11] is adopted to measure the indicators of per capita waiting area, walking environment, and so forth, which can be used in evaluating the LOSWR. The idea behind using this method is to provide the number of passengers in each unit area based on the maximum number of passengers in the waiting room, which comes from the probability method [12–14] and its successful use in the traffic engineering field [15, 16]. In this work, the operation process from passengers’ arrival to departure at a railway passenger station is conducted by adopting the Arena simulation methodology that is widely used in industrial applications. The purpose of simulation is to mimic passengers’ moving process, including the behaviors of arrival, waiting, and departure, and output the maximum number of passengers in the waiting room which could allow us to evaluate the LOSWR real-timely and dynamically.

Finally a proof of reliability of the proposed models is carried out through the use of the Arena simulation methodology to analyze the influential factors of the maximum number of passengers. The effect utilities and priority of different measures on improving the LOSWR are also discussed. Two-stage experiments are conducted to provide the results of the above analytical objectives. In the first stage, two significant factors are chosen to analyze their effects on the maximum number of passengers and the LOSWR. In the second stage, the effect utilities of different measures on improving the LOSWR are analyzed and their priority is provided based on the first stage.

This paper is organized as follows. In Section 2, based on establishing the arrival and departure modules, the models involving the maximum number of passengers and the LOSWR are proposed. Also, the Arena simulation modules are presented. The model application is given to demonstrate two significant factors’ effects on the maximum number of passengers and the LOSWR, and the effect utilities and priority of different measures on improving the LOSWR are also illustrated in Section 3. We present the conclusions in Section 4, followed by the acknowledgements and references.

2. Methodology

2.1. Problem Description

2.1.1. Railway Passenger Station Operation

Railway passenger station as a transit place is a dynamic and complex system which plays an important role in guaranteeing passengers’ arrival and departure smoothly. A significant amount of resources and measures (both dynamic and static) is allocated in order to receive, accommodate, and dispatch passengers and provide essential services for passengers. Some service units include ticket hall, security check, waiting room, and human resources. The main purpose of railway passenger station is to meet different functional standards and realize their mutually complementary.

The moving process of passengers at a railway passenger station usually consists of three steps: arrival, waiting, and departure. The arrival step begins with passengers entering the gates and security checkpoints and ends when passengers arrive at the waiting room. Waiting step begins when passengers arrive at the waiting room and ends when they get on the trains by punching the tickets. This step is a bridge connecting passengers’ arrival and departure. Departure step is marked by passengers’ leaving by punching the tickets shortly before the train’s departure. The operation process of different functional modules of railway passenger station is shown in Figure 1.

Figure 1: The operation process of different functional modules of railway passenger station.

2.1.2. Waiting Room and the LOSWR

The waiting room of railway passenger station is the main place to provide the railway service for passengers and also the residence place before passengers leaving the station. Depending upon the waiting room’s performance, the quality of the railway passenger station network operation may be ameliorated or aggravated.

The LOSWR also plays an important role in deciding the railway passenger station’s level of service. It needs to be analyzed thoroughly. The maximum number of passengers in waiting room is the main technical indicator in improving the level of service, as well as scale designing, amount of investment, and setting of related rooms; it also contributes to the passengers’ satisfaction from the perspectives of per capita waiting area and walking environment, and so forth. Various factors can influence the LOSWR from passengers’ arrival to departure. In this paper, we study these influential factors, the effect utilities, and priority of different measures on improving the LOSWR based on the arrival, waiting, and departure modules which are illustrated in Figure 1.

2.2. Model Development

2.2.1. Definitions of Different Functional Modules

(1) Arrival Module. This section emphasizes on the study of the rule of passengers’ aggregation and calculation method of the maximum number of passengers in waiting room. Most passengers will arrive at the railway passenger station some time before the train’s departure, and based on some related studies [17–19], we assume the passenger advanced arrival time obeys the lognormal distribution and its probability density function is as follows:

where represents the passenger advanced arrival time and and are the location and scale parameters of lognormal distribution, respectively, which can be obtained through the field surveys’ data fitting.

Considering that all the passengers are supposed to arrive at the station before the train’s departure, one condition should be met:

where is a fitted value that represents a particular moment before the train’s departure and is the total time from the first to the last passenger’s arrival time. According to the surveys and analyses, we set, in this study the value as 90 which means that all the passengers should arrive at railway passenger station within 90 minutes starting from the first passenger’s arrival time and we regard it as a fixed value according to this paper [12].

Therefore, at a given time , the proportion of arrived passengers taking train can be found as follows:

where represents a given time and and is the train number and represents the set of all the scheduled trains at railway passenger station).

In Figure 2, represents the departure time of train and and represent the arrival time of the first and last passenger, respectively. Therefore, the difference of the above two time points is . represents the arrival time of the th passenger and is the passenger advanced arrival time which obeys the lognormal distribution. The time analysis on passengers’ arrival of waiting room is shown in Figure 2.

Figure 2: The time analysis on passengers’ arrival of waiting room.

(2) Departure Module. For waiting rooms, the departure flow is mainly produced by the check-out passengers. Apparently, this step often occurs shortly before the train’s departure. In general, a train’s check-out time begins 20–30 minutes and ends 3–5 minutes prior to the train’s departure time. In this paper we introduce to represent the advanced check-out time with respect to the train’s departure time.

According to some surveys and related studies [12, 14], the check-out speed remains a constant for a certain period of time after the check-out signal begins. Then this value will decline with the extension of time. Given the fixed number of passengers of each train, we introduce to represent the check-out duration time and to represent the check-out speed. In this paper we consider the check-out speed as a constant within the check-out duration time.

For one train’s departure, the station will open 2 or 3 ticket-out gates generally. In this paper we introduce to represent the number of ticket-out gates. The values of the above four parameters (, , , and ) will be given in Section 3.2.

The operation process of departure is shown in Figure 3.

Figure 3: The operation process of departure module.

2.2.2. Evaluation Model of the LOSWR

(1) Model of the Maximum Number of Passengers in Waiting Room. From the above analysis of passengers’ arrival and departure, during the process of passengers’ aggregation, arrival and departure may occur simultaneously at each given time for multiple trains. Consequently, the difference of the arrival flow and departure flow at given time is the number of aggregation passengers in the waiting room.

For the th train, the number of aggregation passengers at given time can be formulated as follows:

subject to

where is the number of aggregation passengers produced by the th train at a given time in (), represents the fixed number of passengers of train , is the load factor of train , and is the accompany rate that represents the number of passenger drop-offs accounts for one train. represents the check-out duration time of train and is the number of passenger drop-offs left in the th minute which varies with the values of . In this paper, we assume the departure time of the passenger drop-offs obeys the uniform distribution on . The definitions of , , and have been given in Section 2.2.1.

Therefore, at given time before the check-out time of train , the number of aggregation passengers produced by all the waiting trains is

where represents one of the waiting trains, is the set of all the waiting trains that have not departed, and .

Then, the maximum number of passengers in waiting room is

where represents the set of all the scheduled trains at railway passenger station, including originating trains and passing trains, and is the correction factor.

(2) Model of the LOSWR. The waiting room is a transit place which connects passengers’ arrival and departure. The LOSWR is the most important factor, deciding the level of service at a railway passenger station. It also determines the passengers’ satisfaction directly. Numerous studies have been conducted to evaluate the level of service at a railway passenger station, including its waiting room. But there is no standard to evaluate the LOSWR for the characteristics of regional and complex factors.

The influential factors for the LOSWR in waiting room include the environment sanitation, as well as waiting environment condition, accuracy of train’s information forecast, and organization of passengers’ boarding the train. Flow density is the number of passengers in each unit area (density threshold: people/m²), which is an important indicator to evaluate the pedestrian level of service. Given the area of waiting room and the maximum number of passengers found by Arena simulation, we adopt, in this paper, the Fruin evaluation index to evaluate the LOSWR from the perspective of passengers’ satisfaction based on per capita waiting area and walking environment, and so forth. The method is as follows:

where represents the number of passengers in each unit area, is the maximum number of passengers in waiting room, and is the area of waiting room. Fruin’s level of service evaluation standard is illustrated in Table 1.

Table 1: Fruin’s level of service evaluation standard.

(Pedestrian area (people/m²))
Level of service

0~0.31
A

0.31~0.43
B

0.43~0.72
C

0.72~1.08
D

1.08~2.17
E

>2.17
F

2.3. The Research Methods and Steps

In order to evaluate the LOSWR, the Furin evaluation method based on passengers’ satisfaction is adopted. For this purpose, two steps are included: firstly, the model of the maximum number of passengers in waiting room is established. Secondly, the Furin evaluation model is presented based on the maximum number of passengers in the waiting room.

To further analyze the LOSWR, the Arena simulation methodology is adopted to simulate passengers’ aggregation behaviors in waiting room. For example, the influential factors of the LOSWR, the effect utilities, and priority of different measures on improving the LOSWR are all illustrated by using the simulation method in this study. Three steps are also included for the above objectives. Firstly, the Arena simulation model is constructed and validated by comparing the simulation results with the results of the model in Section 2.2.2. Secondly, two simulation scenarios are conducted to demonstrate two significant factors’ effects on the maximum number of passengers and the LOSWR. Lastly, the effect utilities and priority of three different measures on improving the LOSWR are illustrated based on the simulation scenarios in the second step.

2.4. Simulation Concept and Process

The purpose of designing of the simulation system is to develop a methodology for studying the rule of passengers’ aggregation in the railway passenger station waiting room. Therefore, the simulation system needs to meet the conditions [20] which are as follows: the system can be used for the case analysis of different railway passenger stations; can be changed relatively easily for meeting the needs of different users; and can be maintained and developed conveniently.

In this study we adopt the object-oriented concept to model the simulation system, based on the above conditions. Through analyzing the common elements of different railway passenger stations, the functional modules at a passenger station need to be built in the simulation for different research purposes and objects. For example, the modules may include check-in, security check, and check-out. For each module, the simulation requires identifying its attributes. The last step is to connect the modules to reflect the operation in the waiting room.

In order to analyze the operation of railway passenger station and the process of passengers’ aggregation, the system is programmed into a visual simulation modelling software called Arena [21]. Since the Arena software is a dynamic and visual system that can real-timely simulate the process of passengers’ aggregation, the operators could take real-time or preventive measures to regulate passengers’ aggregation and maintain the LOSWR at a higher grade. In Figure 4, a detailed scheme of operation process of railway passenger station is presented.

Figure 4: Simulation process of operation of railway passenger station.

The simulation scenario is about the arrival, waiting, and departure of passengers at the railway passenger station. At first, passengers of each train are created to enter the railway station. The attributes of each train and its passengers based on the train departure information need to be initialized to make each created module unique. For example, the created module ought to be given its first passenger arrival time, number of passengers per arrival, and time between arrivals. After defining the created module, the behaviors of check-in and security check need to be determined. In the waiting room, passengers will aggregate with the process of arrival and departure. Based on the train departure information, passengers’ departure begins under the settings of advanced check-out time, check-out duration time, check-out speed, and the number of ticket-out gates.

Since the simulation process of passengers’ arrival and departure is carried out real-timely, the rule of passengers’ aggregation could be obtained synchronously. After the simulation starts, statistical calculation will be performed along with the process of passengers’ departure. For example, in this study, we collected the number of aggregation passengers and the maximum number of passengers in waiting room, which are the main performance indicators of the simulation system.

During the simulation, the most important events include the following:

(a)Passengers’ arrival: when the passengers of a specific train are created, they will enter the designated waiting room and pass through the designated ticket-out gates.(b)Walking from security checkpoint to waiting room: a certain period of time will be accounted for this step (we set in this study that the value obeys the uniform distribution and the parameter value is (mean = 3, std = 5)).(c)End of simulation: when predefined simulation time is up, statistical calculation data will be output (we design 10 simulation experiments and run each experiment 20 replications to get the results. And the replication length is set to 1 month).(d)Later data processing: all the statistical data will be output to the designated file for postanalysis.

2.5. Establishment of Arena Simulation Modules

In simulating passengers’ arrival, the first step is to create passengers’ arrival, check-in, and security check modules, which have been defined in Section 2.2.1. Each created module will create the passenger flow which is consistent with the parameters of its corresponding waiting train, such as the train’s departure time, first passenger arrival time, and time between arrivals. The number of created modules is determined by the number of waiting trains, since there exists one-to-one relationship between the created module and the departure module. The check-in and security check modules determine the speed of check-in and security check, as shown in Figure 5. The definitions of input parameters are listed in Table 2.

Table 2: List of input parameters used in arrival, check-in, and security check module.

Classification of input parameters
Name and meaning

Attributes of passengers
First passenger arrival time
Time between arrivals (assumed to obey the exponential distribution)
Number of passengers per arrival (including the number of passenger drop-offs)
Created modules’ type (corresponding to the trains’ number)

Attributes of
railway
passenger
station
Trains’ departure time
The number of trains (originating trains and passing trains)
Trains’ numbers
Check-in speed
Security check speed

Figure 5: Arrival, check-in, and security check module.

From the security checkpoint to the waiting room, passengers will enter the designated waiting room by choosing staircases or taking escalators. A certain period of time will be taken in this process. In the simulation process, we take this period of time into consideration in order to be consistent with the actual situations.

The waiting and departure module consists of two submodules: waiting in line module and triggering signal module. In the first submodule, the Read step can read and output the number of aggregation passengers real-timely with the process of passengers’ arrival and departure in waiting room. The Hold step receives the check-out signal and then releases passengers which represents the beginning of check-out. During passengers’ aggregation, the passenger drop-offs will leave the waiting room and we assume the departure time of passenger drop-offs obeys the uniform distribution. All of the above processes will continue until the end of check-out. The triggering signal module creates the departure signal for passenger drop-offs and check-out signal for passengers. The above two submodules mainly realize the functions of calculating the number of passengers in the waiting room and ensure passengers’ departure by connection logically. The waiting and departure module and the definitions of input parameters are shown in Figure 6 and Table 3.

Table 3: List of input parameters used in waiting and departure module.

Classification of input parameters
Name and meaning

Waiting module
The time taken from security checkpoint to waiting room

Waiting in line module
TNOW (current time value)
NQ (passengers in waiting room)
Output file address
Waiting for check-out signal value (passengers)
Waiting for departure signal value (passenger drop-offs)

Triggering signal module
Time between created signals
First created signal arrival time
Check-out signal value
Departure signal value
Check-out duration time
Check-out speed
The number of ticket-out gates

Figure 6: Waiting and departure module.

3. Model Application

In this section, we discuss the simulation scenario with sixty-two trains, scheduled in one day. Each train has an individual departure time. Meanwhile, two types of trains (originating trains and passing trains) are included, presented in Appendix. By simulating the operation process from passengers’ arrival to departure at the railway passenger station, passengers’ aggregation behaviors in waiting room can be obtained based on the above simulation. Thus, the LOSWR based on the maximum number of passengers can be evaluated and analyzed.

The location parameter of the lognormal distribution represents the average value of the passenger advanced arrival time. The existing studies all assume that the passenger advanced arrival time is the main factor to influence the maximum number of passengers and the LOSWR [10, 22]. Actually, various factors can also influence the passenger advanced arrival time, such as passengers’ travel behaviors, types of passengers (from originating trains or passing trains), and travel time reliability which varies over different transportation arrival modes. In this section, we focus on the analysis of the passenger advanced arrival time denoted by .

Accompany rate represents how much the number of passenger drop-offs accounts for the number of passengers for a specific train. For larger railway passenger stations, it is necessary to analyze the accompany rate because the number of passenger drop-offs influences significantly how passenger flow and the maximum number of passengers change. The greater the accompany rate, the greater the number of aggregation passengers and the maximum number of passengers in waiting room, causing lower LOSWR.

In the section, firstly, the location parameter and the accompany rate are chosen to analyze their effects on the maximum number of passengers and the LOSWR. Both of them are uncontrollable to the railway passenger station. Secondly, based on the above simulation results, sensitivity analysis results are provided and discussed to identify different measures’ effect utilities and their priority on improving the LOSWR in order to provide the factual basis for operators taking measures to improve the LOSWR.

3.1. Parameters and Variables Setting

Based on the computer simulation, the value of equals 3 for better fitting results. The fixed numbers of passengers from originating trains and passing trains are set to 1100 and 400, respectively. Because the minimum value of is set to 40 people/minute, the number of ticket-out gates is 2 in this paper and the initial value of check-out duration time () is set to 15 and 5 minutes, respectively, for the originating trains and passing trains. The train schedule is shown in Appendix. All the values of simulation parameters and variables are listed in Table 4.

Table 4: Values of simulation parameters and variables.

Parameters and variables type
Passengers’ arrival
Railway passenger station’s operation and management

Variable
Variable

1100/400
0.8
62
1.4
Nonfixed value

T

0.34
3
90
2
15/5
Variable
Variable
Variable

3.2. Verification and Validation of the Simulation Model

Our simulation model has to verify whether it is working in the way it is planned. Above all, it is developed in three steps. And each step is examined individually. For example, the arrival step is developed and examined first before the other two steps. Secondly, we take advantage of the tracing approach, readily available in Arena simulation. Via tracing, we can know the whole life cycle of an entity and make comparison with the calculation results of the model of the maximum number of passengers in waiting room in Section 2.2.2. Finally, animation is also a useful way to visually verify our simulation model.

For validation purposes, we have run some simulation experiments based on the parameters and variables in Table 4 and Appendix. We run the simulation model for 20 replications with each replication lasting for 1 month and get the results under 0.95 confidence level. As shown in Table 5, the main performance indicator is the maximum number of passengers in waiting room from 6:00 am to 22:00 pm in one day.

Table 5: Calculation results of the model of the maximum number of passengers in waiting room and simulation results.

Comparison
scenario
Calculation results
of the model
Simulation results
average (half-width
95% C.I)

2.87
0%
1086
1110 (±25)

3.37
0%
3018
3064 (±37)

3.87
0%
6497
6541 (±18)

3.37
10%
3589
3595 (±11)

3.37
20%
4147
4152 (±8)

3.37
30%
4635
4674 (±21)

As a result of the comparisons between simulation results and calculation results of the model of the maximum number of passengers in waiting room, the simulation model built for the operation process of the railway passenger station is considered to be close to the actual system, which enables us to perform more analysis.

3.3. The Simulation Results of the Basic Experiment

Since the model has been constructed and validated, we can use it to design experiments and analyze the passenger advanced arrival time and the accompany rate’s effects on the maximum number of passengers and the LOSWR in different situations for the purpose of effect utility analysis. In this study, we design 10 simulation experiments and run each experiment 20 replications to get the results under 0.95 confidence level. And the replication length is set to 1 month. The simulation scenarios of the basic experiment are shown in Table 6.

Table 6: The simulation scenarios of the basic experiment.

Independent variable
Simulation scenario

Passenger advanced arrival time
1
2.87
0%

2
3.37
0%

3
3.87
0%

Accompany rate
1
3.37
0%

2
3.37
5%

3
3.37
10%

4
3.37
15%

5
3.37
20%

6
3.37
25%

7
3.37
30%

(minutes), (people/minute), (square meters).

3.3.1. The Simulation Results of the Passenger Advanced Arrival Time

According to the analysis shown in Table 6, it appears that different values of the passenger advanced arrival time could lead to different values of the maximum number of passengers and the LOSWR. To make the effect utility analysis, we set the simulation time to 6:00 to 22:00. We also design three scenarios in which the values of are 2.87, 3.37, and 3.87, and the levels of service in waiting room are A, C, and E correspondingly (). The simulation results are shown in Figure 7 and Table 7.

Table 7: The simulation results of railway passenger station waiting room ().

Scenario
The location parameter of
lognormal distribution
Maximum number of passengers
Flow density

Advanced arrival time
Average value
Increased proportion
Density threshold
LOSWR

1
2.87
18.7
1110
—
0.25
A

2
3.37
29.5
3064
176.0%
0.68
C

3
3.87
51.0
6541
113.5%
1.45
E

Figure 7: The number of aggregation passengers varies over the values of the passenger advanced arrival time.

3.3.2. The Simulation Results of the Accompany Rate

In order to find the effect of the accompany rate on the maximum number of passengers and the LOSWR, we design seven scenarios where the minimum interval of is 5% (). Because the LOSWR is D when the interval of is (5%, 30%), we just illustrate the scenarios of , , and in Figure 8 (). The simulation results are shown in Figure 8 and Table 8.

Table 8: The simulation results of railway passenger station waiting room ().

Scenario
Accompany rate
Maximum number of passengers
Flow density

Average value
Increased proportion
Density threshold
LOSWR

1
0%
3064
—
0.68
C

2
5%
3325
8.5%
0.74
D

3
10%
3595
8.1%
0.80
D

4
15%
3873
7.7%
0.86
D

5
20%
4152
7.2%
0.92
D

6
25%
4422
6.5%
0.98
D

7
30%
4674
5.7%
1.04
D

Figure 8: The number of aggregation passengers varies over the values of the accompany rate.

3.4. The Analysis of Different Measures’ Effect Utilities on Improving the LOSWR

For the railway passenger station, the check modes for passengers’ departure and the scheme of the size of the waiting room are controllable factors and have significant influences on the maximum number of passengers and the LOSWR. In this section, we focus on the effect utilities of the advanced check-out time (), check-out speed (), the number of ticket-out gates (), and the area of waiting room () on improving the LOSWR. For the check modes for passengers’ departure, we concern advanced check-out time and check-out speed which represent , , and , because the number of ticket-out gates and check-out speed mainly determine the number of passengers departed per unit time. The value of will be adjusted with respect to the changes of and in the following simulations.

3.4.1. The Analysis of the Effect Utilities Based on the Location Parameter of Lognormal Distribution

As illustrated in Table 7, the LOSWR reaches A when . It becomes C when and the average advanced arrival time is 29.5 minutes. When , the average advanced arrival time is 51.0 minutes and the LOSWR drops to E (). Therefore, we only study how to improve the LOSWR about the two latter scenarios with the above three measures (, , and ).

In the simulation, for the first two measures, the maximum number of passengers in waiting room decreases with the increases of advanced check-out time and check-out speed. However, the advanced check-out time has a stronger effect on reducing the maximum number of passengers than the check-out speed. Figure 9 shows the trend of the maximum number of passengers varies over the values of and .

Figure 9: The maximum number of passengers in waiting room varies over the values of and .

For improving the LOSWR illustrated in Table 9, the LOSWR shows an improved tendency in both scenarios with the increases of advanced arrival time and check-out speed. In the left part, when is less, the advanced check-out time improves the LOSWR stronger than the check-out speed. However, this trend stops as the value of increases from 3.37 to 3.87. On one hand, the whole LOSWR is lower when . On the other hand, the improvement in the LOSWR is less sensitive than the first scenario with respect to the changes of and .

Table 9: The LOSWR varies over the values of and ().

Check-out speed

40
50
60
70
80
90
40
50
60
70
80
90

LOSWR

Advanced check-out time

    20
C
C
C
C
C
B
E
E
E
E
E
E

    21
C
C
C
B
B
B
E
E
E
E
E
E

    22
C
C
B
B
B
B
E
E
E
E
E
E

    23
C
B
B
B
B
B
E
E
E
E
D
D

    24
C
B
B
B
B
B
E
E
E
D
D
D

    25
B
A
A
A
A
A
E
D
D
D
D
D

    26
A
A
A
A
A
A
E
D
D
D
D
D

    27
A
A
A
A
A
A
D
D
D
D
D
D

    28
A
A
A
A
A
A
D
D
D
D
D
D

    29
A
A
A
A
A
A
D
D
D
D
D
D

    30
A
A
A
A
A
A
D
D
D
D
D
D

However, the LOSWR maintains at C and E when is 3.37 and 3.87, respectively, when the area of waiting room increases by 5% to 30%, as illustrated in Table 10. However, the LOSWR is much less sensitive to the change of comparing with the above two measures when the density threshold decreases.

Table 10: The LOSWR varies over the value of ().

Increased proportion

Density threshold
LOSWR
Density threshold
LOSWR

4500
—
0.68
C
1.45
E

4725
5%
0.65
C
1.38
E

4950
10%
0.62
C
1.32
E

5175
15%
0.59
C
1.26
E

5400
20%
0.57
C
1.21
E

5625
25%
0.54
C
1.16
E

5850
30%
0.52
C
1.12
E

3.4.2. The Analysis of the Effect Utilities Based on the Accompany Rate

As illustrated in Table 8, the maximum number of passengers in the waiting room increases as the accompany rate () increases. Three measures are also analyzed about their effect utilities on the maximum number of passengers and improving the LOSWR.

For the maximum number of passengers, comparing to Section 3.4.1, both the advanced check-out time and check-out speed have a stronger effect on reducing the maximum number of passengers in the three scenarios (, 15%, and 30%). Between advanced check-out time and check-out speed, advanced check-out time has the stronger effect utility, as shown in Figure 10.

Figure 10: The maximum number of passengers in waiting room varies over the values of and .

A great similarity is found among the three scenarios (, 15%, and 30%) with the LOSWR varying over the values of advanced check-out time and check-out speed. Both the advanced check-out time and check-out speed have strong effect utilities on improving the LOSWR which is different from the situation where in Table 9. Since the advanced check-out time becomes the dominant factor on influencing the LOSWR and the accompany rate has a much weaker effect on improving the LOSWR. The situation where is similar to the scenario where in Table 9, so we only list the situations of and . The LOSWR varies over the values of and with two different accompany rates as shown in Table 11.

Table 11: The LOSWR varies over the values of and ().

Check-out speed

40
50
60
70
80
90
40
50
60
70
80
90

LOSWR

Advanced check-out time

    20
D
D
C
C
C
C
D
D
D
C
C
C

    21
D
C
C
C
C
B
D
D
C
C
C
C

    22
D
C
C
C
B
B
D
C
C
C
C
B

    23
C
C
C
B
B
B
D
C
C
B
B
B

    24
C
C
B
B
B
B
C
C
B
B
B
A

    25
C
C
B
B
A
A
C
C
B
A
A
A

    26
C
B
A
A
A
A
C
B
A
A
A
A

    27
B
A
A
A
A
A
C
B
A
A
A
A

    28
A
A
A
A
A
A
B
A
A
A
A
A

    29
A
A
A
A
A
A
B
A
A
A
A
A

    30
A
A
A
A
A
A
A
A
A
A
A
A

Similar to the situation in Table 10, the LOSWR almost maintains at D with the area of waiting room increased by 5% to 30% where and , as illustrated in Table 12. The LOSWR is also the least sensitive to the change of comparing with the above two measures. We can conclude that the advanced check-out time has the strongest effect utility on improving the LOSWR, the check-out speed has the secondary effect utility and the area of waiting room has the weakest effect utility. Therefore, for providing the factual basis for operators taking measures to improve the LOSWR, the priority of the above three measures (, and ) is advanced check-out time, check-out speed, and the area of waiting room.

Table 12: The LOSWR varies over the value of S ().

Increased proportion

Density threshold
LOSWR
Density threshold
LOSWR

4500
—
0.86
D
1.04
D

4725
5%
0.82
D
0.99
D

4950
10%
0.78
D
0.94
D

5175
15%
0.75
D
0.90
D

5400
20%
0.72
D
0.87
D

5625
25%
0.69
C
0.83
D

5850
30%
0.66
C
0.80
D

4. Discussion

The simulation can be used to explore the passenger advanced arrival time and accompany rate’s effects on the maximum number of passengers and the LOSWR. The effect utilities and their priority of advanced check-out time, check-out speed, and the area of waiting room on improving the LOSWR are also illustrated.

Based on the simulation scenario provided in Appendix, as well as the related parameters and variables in Table 4, six comparison scenarios are firstly conducted to validate the constructed simulation model. Thus we could use it to design more experiments for evaluating and analyzing the LOSWR.

In regard to assessing the effects of the passenger advanced arrival time and accompany rate on the maximum number of passengers and the LOSWR, the simulation method is able to perform a quantitative analysis of two significant uncontrollable factors’ influences on the maximum number of passengers and the LOSWR. Firstly, passenger advanced arrival time has a strong effect utility on the maximum number of passengers and the LOSWR. It appears that the predictable travel time is the key to predict the passenger advanced arrival time. It is necessary for railway passenger station to consider the travel time reliability which influences the passenger advanced arrival time in designing the waiting room of newly built passenger dedicated lines and maintaining the LOSWR at a higher grade. Secondly, accompany rate has a weaker influence on the maximum number of passengers and the LOSWR, but investigating the accompany rate is helpful to formulate the passenger organization plans and improve the LOSWR.

The simulation also demonstrates that, among the different measures which could be used to improve the LOSWR, the advanced check-out time has a much stronger effect utility on improving the LOSWR than the check-out speed and the area of waiting room. However, when passenger advanced arrival time becomes the dominant factor influencing the LOSWR, the advanced check-out time and check-out speed have a weaker effect utility on improving the LOSWR. As to the area of waiting room, it always has the weakest effect utility on improving the LOSWR. We can conclude that the priority of the above three measures on improving the LOSWR is advanced check-out time, check-out speed, and the area of waiting room.

Conducted experiments on the above simulation scenarios show the benefit of using the highly detailed simulation model to mimic the operation process from passengers’ arrival to departure, better real-time passengers’ aggregation behaviors in waiting room are achieved, and the LOSWR based on the maximum number of passengers is analyzed thoroughly. The validation experiments prove the reliability of the proposed simulation model, which could enhance the effectiveness of the conclusions derived from the simulation results. It should be noted, however, that the constructed model cannot accurately simulate passengers’ free selection behaviors in different functional modules; thus the simulation results will have some differences to the real situations. Also, the simulation model’s easy use has been weakened due to the fussy combination of different functional modules. A further improving of the simulation model may focus on adding the random selection characteristics of passengers at railway passenger station.

5. Conclusions

This paper proposes an evaluation model for the LOSWR based on the maximum number of passengers in waiting room of railway passenger station. A simulation model is then presented based on the Arena software to explore the influential factors on the LOSWR, as well as the effect utilities and priority of different measures on improving the LOSWR. The simulation results show that the passenger advanced arrival time has a significant effect on the maximum number of passengers and the LOSWR, and the accompany rate’s effect is much weaker. For the measures that can be used to improve the LOSWR, the advanced check-out time has the strongest effect utility on improving the LOSWR, check-out speed, and the area of waiting room’s effect utilities decrease in order. Therefore, the provided conclusions could be considered for operators’ real-timely improving the LOSWR.

The results obtained in this study allow us to affirm that simulation method is a valuable and effective tool to understand the passengers’ aggregation behaviors in waiting room. It is helpful to better formulate the station’s organization plans and improve the LOSWR and other service units for operators. However, our work still has some limits. We assume the passenger advanced arrival time obeys the lognormal distribution; more practical fitting distribution functions that derive from field surveys are needed to make the results more accurate. Also, the passengers’ free selection behaviors cannot reflect in the constructed simulation model. In future work, continuous efforts are needed to improve the simulation model which allows passengers’ free selection behaviors. It will also be beneficial to explore more useful indicators such as passengers’ average waiting time that can be used to evaluate the LOSWR comprehensively.

Appendix

Number of Passengers Dispatched and Departure Time

See Table 13.

Table 13

Number
Number of passengers dispatched
Departure time

1
1100
6:32

2
1100
6:55

3
1100
7:08

4
400
7:17

5
400
7:28

6
1100
7:45

7
1100
7:55

8
1100
8:08

9
1100
8:16

10
1100
8:21

11
1100
8:30

12
400
9:02

13
1100
9:17

14
1100
9:32

15
1100
10:15

16
1100
10:28

17
1100
10:37

18
1100
10:46

19
400
11:12

20
1100
11:25

21
1100
11:38

22
1100
11:49

23
400
11:58

24
400
12:16

25
1100
12:29

26
1100
12:39

27
1100
12:45

28
1100
12:53

29
1100
13:01

30
1100
13:09

31
1100
13:18

32
1100
13:33

33
400
13:50

34
1100
14:13

35
1100
14:30

36
1100
14:51

37
1100
15:20

38
400
15:47

39
1100
16:25

40
1100
16:33

41
1100
16:42

42
1100
16:57

43
1100
17:10

44
1100
17:23

45
400
17:57

46
1100
18:13

47
1100
18:29

48
400
18:46

49
1100
18:57

50
1100
19:06

51
1100
19:14

52
1100
19:21

53
1100
19:33

54
1100
19:42

55
1100
19:56

56
1100
20:05

57
400
20:30

58
1100
20:42

59
1100
20:50

60
1100
21:22

61
1100
21:33

62
1100
21:58

Conflict of Interests

The authors declare that there is no conflict of interests regarding the publication of this paper.

Acknowledgments

This work is financially supported by Chinese National 973 Project (2012CB725403) and the State Key Laboratory of Rail Traffic Control and Safety (RCS2014ZT15).

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