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Research Article Impact of Train Schedule on Pedestrian Movement on Stairway at Suburban Rail Transit Station in Mumbai, India Shah Jiten, 1 Joshi Gaurang, 1 Parida Purnima, 2 and Arkatkar Shriniwas 1 1 CED, S. V. National Institute of Technology, Surat, Gujarat 395007, India 2 Transportation Planning Division, CSIR-CRRI, New Delhi 110025, India Correspondence should be addressed to Shah Jiten; jitenshah [email protected] Received 31 May 2014; Accepted 13 October 2014 Academic Editor: Bryan W. Karney Copyright © 2015 Shah Jiten et al. is 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. Pedestrian flow takes place in confined environment on stairways under the influence of composition, direction of movement, and schedule of trains. During peak-period, alighting and boarding rate is quite high resulting in very high pedestrian movement from one platform to the other to catch the next train at interchange stations. e transfer of passengers from railway platforms through common undivided stairways becomes difficult, uncomfortable, and unsafe at times when pedestrian flow reaches the capacity level. Understanding of criteria defining quality of flow that affect the effectiveness of facilities like stairways in handling the pedestrian traffic is vital for planning and designing of such facilities to ensure the desired level of service as well as safety in case of emergency. e present paper is based on the study of pedestrian movement on stairways at busy suburban rail transit interchange station at Dadar in Mumbai, India. Pedestrian movements are captured through videography at two stairways and the effect of bidirectional movement on average walking speed is analyzed. e ascending flow in small proportion is found to be more influential in causing speed reduction on undivided stairways. e outcome of the study is useful for capacity and level of service analysis while planning and designing the transit station stairways. 1. Introduction e past two decades have witnessed rapid pace of growth of Indian economy demanding mass transport infrastructure for its fast growing metropolitan cities. e unidirectional migration towards metropolitan cities due to higher level of employment opportunities and better standard of living has increased tremendous pressure on urban transport infras- tructure due to rising demand for mobility. Rail based transit system plays an important role in ensuring the urban mobility particularly in metro cities [1]. While designing and planning urban transit system, transport planners contribute towards designing best alignment with shortest distance between two stations while engineers concentrate on optimization of operational efficiency and technical specification of rolling stock and also maximized use of infrastructure in general. However, the operation of facilities for passenger transfer from one platform to the other through stairways and foot over bridges is not attended to at planning as well as design stage keeping operating schedule of trains and passenger load at transit station in sight. Relatively few efforts have been made to understand the efficiency of existing facility based on pedestrian movement behavior. Passengers’ entry and exit at platform and transfer to another platform are executed through critical element like stairways and can have significant effect on overall performance of transit service. In view of the growing concerns for the safety of transit users and its quality of service, it is pertinent to study the effect of characteristics of pedestrian flow generated due to train schedules on the performance of the undivided stairways in terms of walking speed in ascending and descending directions. As reported in the literature, walking speed as the meas- ure of effectiveness of pedestrian facility has been one of the major issues in pedestrian flow analysis. Pedestrian walking speed is significantly influenced by the arrival of trains. Generally, on schedule arrival of trains is likely to make efficient gathering and dispersion of pedestrian and to pro- vide easy transfer of pedestrian for the next train on the other platform through transfer facilities. A number of factors Hindawi Publishing Corporation Advances in Civil Engineering Volume 2015, Article ID 297807, 9 pages http://dx.doi.org/10.1155/2015/297807

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Page 1: Research Article Impact of Train Schedule on Pedestrian ...downloads.hindawi.com/journals/ace/2015/297807.pdf · Impact of Train Schedule on Pedestrian Movement on Stairway at Suburban

Research ArticleImpact of Train Schedule on Pedestrian Movement onStairway at Suburban Rail Transit Station in Mumbai, India

Shah Jiten,1 Joshi Gaurang,1 Parida Purnima,2 and Arkatkar Shriniwas1

1CED, S. V. National Institute of Technology, Surat, Gujarat 395007, India2Transportation Planning Division, CSIR-CRRI, New Delhi 110025, India

Correspondence should be addressed to Shah Jiten; jitenshah [email protected]

Received 31 May 2014; Accepted 13 October 2014

Academic Editor: Bryan W. Karney

Copyright © 2015 Shah Jiten 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.

Pedestrian flow takes place in confined environment on stairways under the influence of composition, direction of movement, andschedule of trains. During peak-period, alighting and boarding rate is quite high resulting in very high pedestrian movement fromone platform to the other to catch the next train at interchange stations. The transfer of passengers from railway platforms throughcommonundivided stairways becomes difficult, uncomfortable, and unsafe at timeswhen pedestrian flow reaches the capacity level.Understanding of criteria defining quality of flow that affect the effectiveness of facilities like stairways in handling the pedestriantraffic is vital for planning and designing of such facilities to ensure the desired level of service as well as safety in case of emergency.The present paper is based on the study of pedestrian movement on stairways at busy suburban rail transit interchange station atDadar in Mumbai, India. Pedestrian movements are captured through videography at two stairways and the effect of bidirectionalmovement on average walking speed is analyzed.The ascending flow in small proportion is found to be more influential in causingspeed reduction on undivided stairways.The outcome of the study is useful for capacity and level of service analysis while planningand designing the transit station stairways.

1. Introduction

The past two decades have witnessed rapid pace of growthof Indian economy demanding mass transport infrastructurefor its fast growing metropolitan cities. The unidirectionalmigration towards metropolitan cities due to higher level ofemployment opportunities and better standard of living hasincreased tremendous pressure on urban transport infras-tructure due to rising demand for mobility. Rail based transitsystemplays an important role in ensuring the urbanmobilityparticularly in metro cities [1]. While designing and planningurban transit system, transport planners contribute towardsdesigning best alignment with shortest distance betweentwo stations while engineers concentrate on optimization ofoperational efficiency and technical specification of rollingstock and also maximized use of infrastructure in general.However, the operation of facilities for passenger transferfrom one platform to the other through stairways and footover bridges is not attended to at planning as well as designstage keeping operating schedule of trains and passenger

load at transit station in sight. Relatively few efforts havebeen made to understand the efficiency of existing facilitybased on pedestrian movement behavior. Passengers’ entryand exit at platform and transfer to another platform areexecuted through critical element like stairways and can havesignificant effect on overall performance of transit service. Inview of the growing concerns for the safety of transit usersand its quality of service, it is pertinent to study the effectof characteristics of pedestrian flow generated due to trainschedules on the performance of the undivided stairwaysin terms of walking speed in ascending and descendingdirections.

As reported in the literature, walking speed as the meas-ure of effectiveness of pedestrian facility has been one of themajor issues in pedestrian flow analysis. Pedestrian walkingspeed is significantly influenced by the arrival of trains.Generally, on schedule arrival of trains is likely to makeefficient gathering and dispersion of pedestrian and to pro-vide easy transfer of pedestrian for the next train on theother platform through transfer facilities. Anumber of factors

Hindawi Publishing CorporationAdvances in Civil EngineeringVolume 2015, Article ID 297807, 9 pageshttp://dx.doi.org/10.1155/2015/297807

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2 Advances in Civil Engineering

make significant contribution to the free flow movements ofa pedestrian. These factors include age, gender, the baggagecarried by a pedestrian and the walkability of a facility [2],the gradient or roughness of surface [3], time of day [4],and type of walking facility [5]. The most important factorgoverning pedestrianmovement on a public transport facilityis the presence or absence of other pedestrians [3]. Burghardtet al. [6] carried out comparative study on fundamentaldiagrams of pedestrian flow on stairway developed by variousresearchers and observed larger uncertainty in maximumspecific flow in the upward motion than the downwardmotion. However, in downward motion discrepancies occurin maximum specific flow, when density rises more than1.5 p/m2 whereas for density below 1.5 p/m2, flow-densityfunctions are close to each other. Authors also compared afield study and experimental study carried out by differentscholars and their study and found that the flow decreaseswith increase in slope of stair. Fruin [7], Tanaboriboon andGuyano [5], Lam et al. [8], and Liu et al. [9] observed higherwalking speed on downstairs than upstairs with reduction inspeed with increase in pedestrian density. Pedestrians obtainhigher walking speed on outdoor stair than the indoor [10],and also mean upward walking speed on the short stairwaywas found to be roughly twice the long stairway. Lee and Lam[11] observed that walking speed variation was the smallestwhen pedestrian flow approaches towards capacity. Authorsalso observed that direction of pedestrian movement andarrival time of train also affects the average horizontal speed.However, effect of various activities (baggage and use of cellphone) on ascending and descending speed was not takeninto consideration. There are very few studies on scheduleof train and its effect on average walking speed on stairways.Hence, it is necessary to study the schedule of train at busyrailway station and its effect on average walking speed ofpedestrian for smooth and safe pedestrian movement forachieving overall efficiency of transit system.

2. Study Area Profile

The present paper reports the outcome of the study carriedout in this regard at suburban rail transit interchange stationat Dadar in Mumbai, the financial and commercial capitalof India. The average decadal population growth of Mumbaimetropolitan region increased after 1951 and has reached to15.99% in 2001–2011 in outer Mumbai, Thane, and Raigarhas shown in Figure 1. At present, about 22 million peopletravel regularly and commute by local trains over varyingdistances ranging from 10 to 60 kilometers a day to reachtheir destinations for performing different activities like job,business, marketing, shopping, recreation, and education.The rising passenger traffic demands for the transportationinfrastructure for high capacity and efficient transit systemin different parts of the metropolitan city. However, theplanning agency has not been successful in augmentingthe suburban rail transit infrastructure to burgeoning traveldemand and continues to serve at load factor ofmore than 3.5during peak periods. Such super dense crush load conditionin trains creates extremely heavy pedestrian flowon suburban

Popu

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ThaneRaigarh

Figure 1: The population growth of Mumbai Metropolitan Region.Source: Urban Age (2007).

railway stations, particularly those located in the CBD area.The subsequent paragraph provides details of suburban railnetwork of Mumbai.

TheMumbai local railway network branches out throughthree main lines: Central (CL), Western (WL), and theHarbour (HL), each connecting a distinct part of the city toanother as shown in Figure 2.

Dadar is situated in the CBD ofMumbai, and the transferstation is common to both the Central and Western lines.About 0.5 million passengers visit the station daily, therebymaking it one of the most crowded railway stations of thenetwork.The passenger entry and exit movement takes placeonly through stairways and during peak period; due to highfrequency of trains (30 trains/hour) pedestrian movement isalso increased significantly. During this period, pedestrianmovement on platforms and stairways becomes critical andcomplex due to extremely high passenger volume and con-straints of physical dimensions of pedestrian facilities. As aresult, the pedestrian efficiency reduces in terms of walkingspeed and cannot achieve their desired walking speed. Thiseventually generates queues at ends of stairway and leads todelay in pedestrian movement.

3. Data Collection and Extraction

Thepedestrianmovement data were collected through video-graphic survey method at two different stairways insideDadar railway station on Western line (WL) in mid-June,2013, on normal weekday. Figure 3(a) shows the schematicdiagram of interchange station and location of the stairways.Fast trains arrive on platforms 2 and 4 and slow trains arriveon platforms 1 and 3. Platform 5 takes care of all long routetrains. Figure 3(b) shows 3D view of platform and connectedstairway at railway station.The selection of stairway is carriedout in such a way that it covers both fast and slow trainsand includes variation in the stairway physical dimensions.Thus to accomplish the above criteria, stairways of platforms2-3 and 4 are selected. The detailed dimensions of selectedstairways are shown in Table 1.

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Advances in Civil Engineering 3

Mumbai Suburban Rail Network Central

Mumbai CST-Kasara/Khopoli (fast)Mumbai CST-Kalyan (slow)

Vasai Road-DivaThane-Navi Mumbai

Nerul-Uran (under contruction)

Terminal station with code

Interchange station

Indian railways

Western

Churchgate-Borivali (slow)Harbour

Mumbai CST-PanvelMumbai CST-Andheri

MRTS (under construction)

Elphinstone Road

Lower Parel

Mahalaxmi

Grant Road

Charni Road

Marine Lines

Parel

Currey Road

Chinchpokli

Byculla

GTB Nagar

Raoli junction

Chunabhatti

Matunga

Sion

VidyaviharCSI Airport

Sewri

Wadala Road

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Reay Road

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Figure 2: Dadar suburban railway station and network of main lines.

Table 1: Dimension of selected stairways.

Stairnumber

Horizontal traplength (m)

Inclined traplength (m)

Width(m)

Area(m2)

Riser(m)

Tread(m)

Slope(∘)

Total length(m)

Height(m)

1 3.52 3.8 2.67 8.589 0.13 0.29 22.10 20.6 5.852 2.03 2.22 2.15 4.202 0.13 0.3 24.14 20.8 5.98

The videographic survey was carried out to capturepedestrianmovement on stairways for 390minutes including90minutes inmorning peak and 150minutes each in eveningpeak and off-peak hours. Data is obtained by marking theentry-exit trap section on the step depending on the numberof steps covered in the camera set up fixed at the ceiling withinclination so as to covermaximumnumber of steps as shownin Figure 3(c).

The pedestrian flow data like pedestrian volume, speed,and density, with respect to schedule of train, is extracted inthe laboratory by repeated play of video files.The pedestriansin the flow are also categorized on the basis of variousattributes like age, gender, directional movement, and per-formance of activity like carrying baggage and/or children.The age group is identified on the basis of visual perception.The age band is classified in three groups of children (age <15), younger pedestrians (age between 15 and 60), and theelder (age > 60). Pedestrian flow data are extracted fromvideo for every one minute interval for the entire survey

duration. Pedestrian volume is collected by noting down thetotal number of pedestrians in each category at the exit of themarked trap area. Arrival and departure time of each trainon selected platform have also been noted during extractionprocess. Pedestrian walking speeds are calculated for ran-domly selected minimum five samples in each category bynoting down entry and exit time of pedestrian while crossingthe trap length. For measuring density of pedestrian, videofiles are converted into 30 frames per minute and pedestriansoccupying the trap area are counted for each frame. Basedon these values, the average number of pedestrians occupyingthe trap area is calculated for every minute.

4. Pedestrian Flow Profile

In total 32,627 bidirectional pedestrian data are extractedmanually from the video file on one minute basis for theentire duration of 390 minutes. 20,579 and 12,048 pedestriandata are from stairway 1 and stairway 2, respectively. Figure 4

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4 Advances in Civil Engineering

Central railway

Central railway

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Figure 3: (a) Western and central line of Dadar suburban interchange station connected with horizontal walkway and stairways; (b) 3D viewof stairway locations; (c) pictorial view of stairway having entry-exit marking.

shows age-group-wise pedestrian movement in ascendingand descending directions for both the stairways.

Figure 4 shows that, in both the stairways, younger pedes-trians (age 15–60 years) are the dominant group whereaschildren and the elder constitute negligibly small proportion(2%) of the pedestrian flow for the ascending and descendingmovements.

The percentage composition of females is also affectingthe overall efficiency of system. It is reported that femaleshave lower walking speed than the males [5, 12–17]. In thepresent study,males constitute themajority of pedestrian flow

onboth the stairwayswith 86% (stairway 1) and 91% (stairway2) proportion. Figure 5 graphically shows proportion ofmale and female pedestrian in ascending and descendingdirections at the study stairways.

The average walking speed of pedestrian also depends onthe proportion of persons with luggage. Obviously, pedes-trians with luggage walk at slower speed [17]. In this study,number of pedestrian without luggage is very high than thenumber of pedestrian with luggage on both the stairways.The majority of the pedestrians are found walking withoutluggage or small luggage like brief case or handbag. Direction

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Advances in Civil Engineering 5

1%

96%

3%Stair 1—ascending movement

ChildrenYoungElder

ChildrenYoungElder

2%

96%

2%Stair 1—descending movement

1%

98%

1%

Stair 2—ascending movement

ChildrenYoungElder

ChildrenYoungElder

2%

96%

2%Stair 2—descending movement

Figure 4: Age-group-wise directional pedestrian movements.

of movement on stairways has a significant effect on thespeed of pedestrian at a given flow level [9]. Figure 6 showsdistribution of observed pedestrian volume with respect todirection of movement, gender, and luggage carrying status.Pedestrian flow in descending direction is higher in stairway1 whereas in stairway 2, ascending flow is higher than thedescending flow.

5. Effect of Schedule of Train onPedestrian Walking Speed

The walking speed depends on the various attributesdescribed above. Pedestrian volume on station platformincreases at the time of arrival and departure of the trainresulting into variation in walking speed. At the selectedstudy location, the headway of trains during morning andevening peak period is 2min, and it is 4 minutes dur-ing off-peak period. In Figures 7(a), 7(b), 8(a), and 8(b) theline plots show time of day versus number of pedestrianmovements and average pedestrian walking speed on boththe stairs. It is evident from these plots that, at lowerpedestrian volume, pedestrians walk with higher speed (seenby numbered circles in Figures 7 and 8). As pedestrianvolume increases, pedestrian walking speed decreases. It isobserved during the field survey that the capacity of existing

stairways is much less than the passengers transfer demandand hence there is uncleared pedestrian volume at the timeof arrival of the next train resulting into formation of queuesat the entrance of the stairways. However, spikes in theinstantaneous pedestrian volume and speed are observeddue to 1 minute duration of data extraction and randomvariation in rate of arriving passengers. At a given instanceof time, pedestrian volume is found to be at the highestlevel followed by a sudden decline and rise due to arrival ofanother train on the same platform. Due to higher frequencyof trains in each direction, a small amount of delay inarrival of a train generates huge crowd on the platformand stairways due to the presence of waiting passengers aswell as simultaneous arrival of passengers from two trainscoming from different directions. Under the circumstances,the situation on stairway becomes heavily congested withpedestrians jostling to move in the desired direction withextreme level of discomfort due to unavoidable body contactsand pedestrian flow in opposite direction. This phenomenonreduces individual walking speed and also affects averagewalking speed of pedestrian flow as seen in Figures 7 and 8by highlighted circles (𝑉

2&3 and 𝑆2&3 for stairway 1 and 𝑉2&9and 𝑆2&9 for stairway 2).

Figure 9 shows three scenarios representing differentcondition of the pedestrian movement. In scenario I, at

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6 Advances in Civil Engineering

Male85%

Female15%

Male88%

Female12%

Stair 1

Descending

Ascending

Male91%

Female9%

Male91%

Female9%

Stair 2

Ascending

Descending

Figure 5: Genderwise distribution of pedestrian movement on both stairways.

0100020003000400050006000700080009000

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Ascending movement, st-1Descending movement, st-1Ascending movement, st-2Descending movement, st-2

Withluggage

W/oluggage

Withluggage

W/oluggage

Figure 6: Genderwise distribution of pedestrianmovement consid-ering luggage status.

lower volume in both the directions, pedestrians achieve theirwalking speed despite moving with heavy luggage. ScenarioII shows that as the volume of pedestrian increases in boththe directions, the individual walking speed reduces due toaberration betweenpedestrianmoving in different directions.This restricts the pedestrian movements and creates jamalong with queue near the ends of stairway creating stampedelike situation. However, in scenario III, showing dominanceof flow in one direction, walking speed of pedestrian ishigher for the same volume of pedestrian compared with theprevious scenario having even directional split of pedestrianvolume. Variation in average walking speed of pedestrianon stairways with change in the proportion of pedestrian

volumes in ascending and descending directions is shown inFigure 10.

The trend lines in Figures 10(a) and 10(b) illustrate thataverage walking speed is higher, when pedestrian flow is tidalin one direction, that is, major flow. When the proportion offlow decreases, that is, from 100% to 70%, average walkingspeed decreases and it continues till major flow becomesminor, meaning that increase in proportion of flow in otherdirections causes reduction in the walking speed. FromFigure 10(a) it can be noted that when total flow in ascendingdirection is 100 ped/min (>90%), average walking speedobtained is 0.52m/s. However, at the same flow level, whendescending flow increases to 30% average speed in ascendingdirection drops by 26% to 0.38m/s. Further increase indescending flow up to an equal proportion of 50% results inthe reduction in average walking speed by 30% (0.36m/s).Decrease in walking speed of 48% (0.27m/s) is observedwhen ascending major flow becomes minor (30%).The sameobservation is obtained in Figure 10(b), with increase inopposite direction of flow; average pedestrian walking speedgets reduced showing influence of opposing flow on averagewalking speed in the major direction. Table 2 summarizesthe average walking speed and percentage reduction inmajordirectional speed with respect to directional distribution ineach direction.

Table 2 shows that average walking speed is higher indescending directionwhen it becomes amajor flow.However,in both major directions, the average speed gets reducedwith increase in flow in opposite direction. Significantly, oncethe flow in both the directions becomes equal, reductionin descending direction walking speed is higher than theascending direction. From the results, it is evident that theinfluence of ascending directional flow on speed is higherthan the descending direction. Although, during arrival oftrain, both the ascending and descending direction move-ments increase, it is desirable to know at what proportion

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Figure 7: 1-minute pedestrian volume and average walking speed on Stair 1.

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Figure 8: 1-minute pedestrian volume and average walking speed on Stair 2.

Scenario I Scenario II Scenario III

Figure 9: Image of pedestrian movement for various scenarios.

of directional flows the reduction in walking speed is higher.Hence it is important to understand the bidirectional pedes-trian flow phenomenon and at which directional split theeffect on speed is significant. The study observations can alsobe applied to calibrate simulation models for passenger flowon stairways at the transit stations for generating scenario offacility performance in terms of level of service, safety, andefficiency analysis with respect to the scheduling of trains.

6. Conclusions

In this paper, different scenarios of the pedestrian movementon stairways with respect to the arrival of trains during peakand off-peak durations in a normal weekday at busy suburbanrail transfer station in Mumbai, India, are analyzed. Due tosmall headways of trains and space constraints on platformsand stairways, complex pedestrianmovement situation arises

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8 Advances in Civil Engineering

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

0 50 100 150 200

Aver

age w

alki

ng sp

eed,

� (m

/s)

Pedestrian volume, Q (p/min)

70%50%

30%

>90%

(a) Ascending directional distribution

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

0 50 100 150 200

Aver

age w

alki

ng sp

eed,

� (m

/s)

Pedestrian volume, Q (p/min)

>90%

70%

50%

30%

(b) Descending directional distribution

Figure 10: Percentage distributions in ascending and descending Direction.

Table 2: Average walking speed and percentage reduction in majordirection.

Pedestrian flow (percentagedirectional distribution foreach direction)

Average walking speed and %reduction with respect to

directional speedAscending

(m/s)Descending

(m/s)>90 0.52 (—) 0.58 (—)70 0.38 (26%) 0.45 (22%)50 0.36 (30%) 0.34 (41%)30 0.27 (48%) 0.15 (74%)

causing high level of congestion on bidirectional undividedstairways. Effect of directional split of pedestrian volumeson average walking speed in ascending and descendingdirections is reported based on videographic survey data for390 minutes on two selected stairways. The study is based onthree levels of directional splits of 90-10, 70-30, and 50-50 forpedestrian flow in each direction. Reduction inwalking speedis observed when the proportion of pedestrian volume in onedirection reduces from major (>50%) to minor (<50%). Thestudy shows that the walking speed in descending directionis higher than the ascendingmovement when the flow is highin descending direction. It can be observed that percentagereduction inwalking speed is higher when ascending (minor)directional flow increases. It shows that ascending flow ismore influential in causing speed reduction in descendingdirection when it is minor flow. Therefore, it can be inferredthat the directional distribution is an important parameter forplanning of pedestrian facility like stairways at transit stationsserving high frequency train operations.The study outcomesare also highlighting the impact of train schedules on the

quality of pedestrian flow on critical element like stairways.Assessment of performance of the stairways at such transitstations in terms of safety of transit users and efficiency oftransfer facilities should be carried out in this context.

Conflict of Interests

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

Acknowledgments

This work would not have been possible without the coop-eration of the divisional railway manager, Western Railways,Mumbai, India. This research is supported by CSIR-CRRI,Supra Institutional Network Project for Development ofIndian Highway Capacity Manual funded by Planning Com-mission of India under the 12th five-year plan. The authorsexpress deep sense of gratitude for the financial support.

References

[1] J. Shah, G. J. Joshi, and P. Parida, “Behavioral characteristics ofpedestrian flow on stairway at railway station,” Procedia—Socialand Behavioral Sciences, vol. 104, pp. 688–697, 2013.

[2] K. Rahman, N. A. Ghani, A. A. Kamil, and A. Mustafa,“Weighted regression method for the study of pedestrian flowcharacteristics in Dhaka, Bangladesh,”Modern Applied Science,vol. 7, no. 4, pp. 17–30, 2013.

[3] S. J. Older, “The speed, density and flow of pedestrians onfootway in shopping streets,” Traffic Engineering and Control,vol. 10, no. 4, pp. 160–163, 1968.

[4] L. A. Hoel, “Pedestrian travel rates in central business districts,”Traffic Engineering, vol. 38, pp. 10–13, 1968.

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Advances in Civil Engineering 9

[5] Y. Tanaboriboon and J. A. Guyano, “Analysis of pedestrianmovements in Bangkok,” Transpiration Research Record, no.1372, pp. 52–56, 1991.

[6] S. Burghardt, A. Seyfried, and W. Klingsch, “Performanceof stairs—fundamental diagram and topographical measure-ments,” Transportation Research Part C, vol. 37, pp. 268–278,2013.

[7] J. J. Fruin, “Designing for pedestrians: a level of service concept,”Highway Research Record, no. 355, pp. 1–15, 1971.

[8] W. H. K. Lam, J. F. Morrall, and H. Ho, “Pedestrian flowcharacteristics in Hong Kong,” Transportation Research Record,no. 1487, pp. 56–62, 1995.

[9] W. Liu, H. Zhou, and Q. He, “Modeling pedestrians flow onstairways in Shanghai metro transfer station,” in Proceedings ofthe International Conference on Intelligent ComputationTechnol-ogy and Automation (ICICTA ’08), pp. 263–267, October 2008.

[10] T. Kretz, A. Grunebohm, A. Kessel, H. Klupfel, T.Meyer-Konig,and M. Schreckenberg, “Upstairs walking speed distributionson a long stairway,” Safety Science, vol. 46, no. 1, pp. 72–78, 2008.

[11] J. Y. S. Lee and W. H. K. Lam, “Variation of walking speedson a unidirectional walkway and on a bidirectional stairway,”Transportation Research Record, vol. 3141, pp. 122–131, 2006.

[12] J. J. Fruin, Pedestrian Planning and Design, Elevator World,Educational Services Division, Mobile, Ala, USA, 1987.

[13] T. Fujiyama andN. Tyler, “Pedestrian speed on stairs—an initialstep for a simulation model,” in Proceedings of 36th UniversitiesTransport Studies Group Conference (UTSG ’04), pp. 7C1.1–7C1.11, 2004.

[14] R. L. Knoblauch, M. T. Pietrucha, and M. Nitzburg, “Fieldstudies of pedestrian walking speed and start-up time,” Trans-portation Research Record, no. 1538, pp. 27–38, 1996.

[15] W. H. K. Lam, J. F. Morrall, and H. Ho, “Pedestrian flowcharacteristics in Hong Kong,” Transportation Research Record,vol. 1487, pp. 56–62, 1987.

[16] P. Tregenza, The Design of Interior Circulation, Van Nostrand-Reinhold, New York, NY, USA, 1976.

[17] J. Zhang, W. Klingsch, A. Schadschneider, and A. Seyfried,“Ordering in bidirectional pedestrian flows and its influence onthe fundamental diagram,” Journal of Statistical Mechanics, vol.2012, Article ID P02002, 2012.

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