Received 17 June 2016
Accepted 18 July 2016
Route Guidance Map for Emergency Evacuation
Lakshaya*, Amit Agarwalb, Nomesh B. Boliaa
aDepartment of Mechanical Engineering, Indian Institute of Technology Delhi, India,
Hauz Khas, New Delhi, India-110016
E-mail: lakshaytaneja01@gmail.com
bTransport Systems Planning and Transport Telematics, Technische Universität Berlin,
Germany 10587
Abstract
An efficient process of emergency evacuation must be guided. In the event of an evacuation instruction, a
significant amount of time is spent by evacuees looking for a place of relative safety or an exit. Due to the ensuing
stress and confusion evacuees try to follow others, consequently, all the exits are not used effectively. Therefore, it
is important to develop a route guidance map for the emergency. The focus of the map is to help both, the evacuees
and the authorities to perform evacuation efficiently. This paper presents a route guidance map for pedestrians that
aims an efficient evacuation in case of an emergency. An agent-based simulation framework is used for the
simulation of various scenarios to prepare the guiding map. A real world case study of Sarojini Nagar, Delhi is
presented to test the presented methodology. Eventually, several strategic recommendations are provided for
improving safety of existing infrastructure.
Keywords: Disaster preparedness, public safety, simulation, emergency, evacuation plan, strategic planning.
1. Introduction
In recent years, public safety and disaster preparedness
have become a prime focus for national authorities, urban
planners and civic agencies due to losses of human lives.
In year 2014, at least 32 people were killed and 26
injured in a stampede shortly after the celebration of
festival Dussehra in Patna, India (Express News Service,
2014). There are many similar examples across the world
(see Table 1 for similar examples), where due to lack of
efficient evacuation planning, people have suffered. The
recurring stampedes occur mainly at places of mass
gatherings for example religious places, railway stations,
sports/political/social events etc. There are many causers
* Corresponding author
and triggers for the crowd disaster including structural
design, fire, rumors, and sudden mass evacuation
(NDMA, 2014).
Evacuation is a process in which endangered people
are moved from a dangerous place to a safe place in order
to reduce the vulnerability during these dangerous
circumstances. In order to mitigate impacts of disasters,
proper evacuation planning is required. In many of the
past events, lack of evacuation planning has resulted in
loss of human lives, particularly in India (see Table 1).
Improper selection of exit or failure to avoid the obstacles
may lead to either serious injury or death. Therefore, a
proper route guidance map in terms of an “Evacuation
Plan” is required that can help evacuees to find the
suitable exits and the route to be followed to evacuate the
Journal of Risk Analysis and Crisis Response, Vol. 6, No. 3 (October 2016), 135-144
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Lakshay et al. / Route Guidance Map for Emergency Evacuation
endangered area in minimum time and with minimum
loss of life. This guiding map can also serve as a
reference for security staff to guide the evacuees on the
route to take for evacuation. This evacuation plan may
also suggest the structural improvements, which can be
helpful for further reduction of the evacuation time.
Limited research on developing evacuation plan has been
done and reported in literature. The ability to evacuate
people depends mainly on two factors viz.: structural
design and behavior. Inefficient design and panic
behavior may lead to overcrowding, which in turn may
lead to crushing, suffocation and trampling. Besides
planning the infrastructure efficiently, it is also essential
to understand the movement and flow behavior, which
may help planners and civic agencies to reduce the
severity. Evacuation, where there may be a transition
from normal behavior to irrational panic behavior, is
governed by factor of “nervousness” which leads to slow
down the crowd and tendency to follow others (Helbing
et al., 2002).
A great share of literature focus is on simulating a
single room evacuation pattern (Casadesús et al., 2009;
Takahashi et al., 1989; Taylor, 1996) where in true sense
little evacuation planning take place. On the other hand,
to evacuate a larger area, egress route have to be defined
first, which requires optimization techniques. In a similar
research direction, this study aims to investigate sudden
mass evacuation from a crowded place. This paper
presents a real-world case study for evacuation
preparedness due to disastrous events in large-scale
pedestrian areas. A majority of crowd disasters have
occurred at shopping malls, music concerts, and stadium
in developed countries (NDMA, 2014). With increasing
population, developing countries are also susceptible to
crowd disaster at such venues (NDMA, 2014). Therefore,
main focus of this study is to evacuate persons from
congested areas such as market places or mass gathering
venues. The objective is to make recommendations to
improve the evacuation time of all people in the
identified area. The key outcome is an “evacuation plan”
for designated sites. The event of potential bombing is
used as an example of the disaster where evacuation is
required. The methodology presented in this study is
applied to a market place, Sarojini Nagar, New Delhi,
however, it can be applied to any scenario wherever
evacuation is required. Also, in order to check the
applicability and robustness of the approach, the same
methodology is applied to two other areas namely Lajpat
Nagar and Laxmi Nagar, New Delhi.
Table 2 shows several models that have been used in
the past to reduce the response time for an evacuation. In
a study by Flötteröd & Lämmel (2010), the authors
suggested to adopt dynamic traffic assignment model to
develop an evacuation plan for open spaces. In general,
Table 1. Past mishappenings due to improper evacuation modeling.
Year
Place
Reason
Casualties
1903
Iroquois Theatre fire, Chicago
(U.S)
No exit signs; No emergency lighting; Exit routes were
confusing (Disaster, 2015)
602
1913
Italian Hall disaster, Michigan
(U.S)
Escape from a falsely shouted of fire at a party
(HallDisaster, 2016)
73
1995
Dabwali, Haryana (India)
Synthetic tent caught fire, blocking main entrance (NDMA,
2014)
446
1997
Uphaar Cinema, Delhi (India)
Smoky cinema hall (NDMA, 2014)
59
2000
Night club Lisbon (Portugal)
Head for main exit and ignore alternative exit (Helbing et
al., 2002)
7
2006
Jamrat Bridge (Saudi Arabia)
Overcrowding and poor crowd management (Still, 2016)
363
2008
Chamunda devi temple, Jodhpur,
Rajasthan (India)
Stampede due to false rumors of bomb (NDMA, 2014)
249
2010
Love Parade (Duisburg)
Trying to escape the overcrowded tunnel (Still, 2016)
21
2011
AMRI hospital, Calcutta (India)
Basement fire, suffocation causing deaths (NDMA, 2014)
89
2014
Patna Stampede (India)
Mass exit from a single gate and rumors also that
live electric had fallen on ground.
(Express News Service,
2014)
33
2015
Mina Stampede
Blockage of route to Jamrat Bridge (Still, 2016)
2110
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dynamic traffic assignment relies on microscopic models.
Zheng et al. (2009) compares several modeling
approaches at different scopes, for e.g. a) cellular
automata models based on lattice gas or social force
models b) agent-based models based on cellular automata
or social force models etc. Most of these models are
detailed models which are resource hungry and need
higher computational time. However, the aim of the
present study is to develop and test a route guidance map
using an approach that is computationally efficient for
large-scale scenarios. Therefore, the present study uses an
evacuation planning approach in a multi-agent simulation
based framework (Lämmel et al., 2010). The multi-agent
systems are preferred for crowd simulation modeling
(Almeida et al., 2013).This approach has also been
applied to a real-world evacuation scenario of Patna city,
India (Agarwal and Lämmel, 2016) under mixed traffic
conditions. This simulation framework is suitable for
large scale scenarios due to its queuing model (see
Agarwal et al. (2015); Balmer et al., (2009) and also
section 2.1). Every person in the area under consideration
may not be familiar with the prevailing traffic conditions
and alternative exit routes during evacuation situation,
therefore, this study proposes an evacuation plan and
subsequently, investigates the response time when this
evacuation plan is used under different situations.
The rest of the paper is organized as follows. First, the
detail of simulation framework for the present study is
explained in Section 2. Section 3 exhibits the
methodology and the case study of Sarojini Nagar market
is illustrated in Section 4. Section 5 shows the impact of
“Evacuation Plan” and its usefulness. Finally, the last
section concludes the overall work and provides some
outlook for future work.
2. Evacuation Modelling
Three different modelling approaches can be applied to
an evacuation process (Schadschneider et al., 2009): a)
risk assessment, b) optimization and c) simulation.
Simulation of pedestrians is generally used for two
purposes: to gain insight on a particular situation and to
prove/disprove a hypothesis (Still, 2007). The output of a
simulation mainly includes: distribution of evacuation
time, evacuation curves (number of people evacuated
with respect to time), sequence of evacuation (snapshot
at a specific time), and identification of congestion
(Schadschneider et al., 2009). In this article, multi-agent
simulation framework (MATSim) is used to identify the
evacuation time, congested links and sequence of
evacuation. In this, all evacuees are modeled as
individual agents. A Geographical Information System
(GIS) based Risk Assessments Information, Planning
System toolkit (GRIPS) is used along with MATSim
(Taubenböck et al., 2009).
MATSim has an evolutionary algorithm which
consists of mainly three steps as shown in Figure 1
Table 2. Method used in literature to reduce time.
Past study Model Description
Taylor (1996) Macroscopic
Find minimum time to evacuate building and optimal plan in terms of
exit usage.
Casadesús Pursals &
Garriga Garzón (2009)
Macroscopic Find the distribution of exit usage for minimum evacuation time.
Takahashi, Tanaka, &
Satoshi (1989)
Macroscopic Optimal exit from a room is chosen for evacuating.
Han, Yuan, Chin, &
Hwang (2006)
Macroscopic Routing for reducing total evacuation time.
Klüpfel (2003) Macroscopic Shows connection between choice of exit and individual egress time.
Stepanov & Smith
(2008) Microscopic Potential egress route described by Kth shortest path using distance,
travel time and level of congestion as objective function.
Abdelghany,
Abdelghany, &
Mahmassani (2014)
Microscopic Show that evacuation time reduces significantly by optimizing the
temporal distribution of evacuation and exit gate selection.
Kneidl, Thiemann,
Hartmann, & Borrmann
(2011)
Microscopic Find the probability of choosing a route to reduce the evacuation time.
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Lakshay et al. / Route Guidance Map for Emergency Evacuation
(Balmer et al., 2009; Horni, Nagel, & Axhausen, 2015).
In this iterative cycle, an agent learns and adapts to the
system. The minimal inputs are network and daily plans
of the individual agents.
• Execution (mobsim) - In this step, all the plans are
simultaneously executed using predefined mobility
simulation (mobsim) on the network. The network
loading algorithm is a queuing model (Cetin, Burri,
& Nagel, 2003; Gawron, 1998).1 The queue model
tracks every agent only at entry and exit and never in
between which makes it computationally efficient.
Hence, a large-scale scenario can be simulated in
reasonable computational time (Agarwal, Lämmel, &
Nagel, 2016a).
• Scoring - Various plans of an individual are
compared using a utility function. The utility
function consists of utility of performing an activity,
(dis)utility of traveling etc. All executed plans are
evaluated using the default scoring function
(Charypar & Nagel, 2005).
• Re-planning - For some of the agents, a new plan is
generated by modifying an existing plan depending
on the so-called innovative strategies (choice
modules). Several choice dimensions are available
for e.g. reroute, time mutation, mode choice etc. The
new plan is then executed in the next iteration. The
innovation is used until a fixed number of iterations
(for e.g. for 80% of the iterations). Therefore, rest of
the agents until innovation and all the agents after
innovation select a plan from their choice set
according to a probability distribution which
converges to the multi-nomial logit model.
1 Refer to (Agarwal et al., 2016b, 2015)for details about the queue
model and its extensions in the MATSim. For simplicity, the present
study uses first-in-first-out (FIFO) approach of the queue model.
3. Survey methodology
Typical crowd density at various sections of the road is
estimated as illustrated further. A travel count survey data
is conducted as follows to identify the initial person
density on each link.
1) On every link of the road network, three surveyors
are placed to count a) the number of persons present
initially at time t, b) number of persons entering and
c) number of persons leaving the link in 5 min time
bin.
2) Thus, number of persons on a road at any time t is
given by Equation (1)
() () () ()Nt t It Ot
λ
= +−
(1)
where,
()Nt
is number of persons on a road at time t ;
I(t) is number of persons entering the link in time bin,
O(t) is number of person leaving in that time bin and
λ(t) is number of persons initially present on the link at
time t.
3) Thus, total number of people to evacuate from a link
is given by Equation (2), which includes the persons
on the road and also persons inside the shops. Let S(t)
be the number of people present inside shops on the
link in time bin t (counted by fourth surveyor). Then
the total number of persons to evacuate on the
concerned road TP(t) is:
() () ()TP t N t S t= +
(2)
4) Thus TP(t) is computed from the survey data. The
pre-evacuation coordinates of all agents are assigned
randomly on corresponding link.
5) In an evacuation problem, destination and route
choice are interrelated. For the simplicity, in the
present study, only one destination is used which
reduces the whole problem to one dimension only.
Fig. 1. Iterative appraoch of MATSim (Horni et al. 2015).
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The post-evacuation location coordinate (destination)
of each agent is modeled as a virtual point formed far
away from the center of the evacuation area. All the
exits are connected to this artificial node termed as
“super sink” (see Figure 2).
Fig. 1. Exit connected to a super sink (a virtual destination).
4. Scenario set up
Sarojini Nagar is located in the south west district of
Delhi. It is one of the most popular market in Delhi. This
was one of the site which was bombed in Delhi on 29
October 2005 and resulted in many deaths and major
injuries (NCTC, 2006). Thus, because of its past history,
it is chosen as a site for potential disaster location.
4.1. Case study: Sarojini Nagar market
The surveys were conducted between 4 September and 7
September, 2014 as illustrated in Section 3. Generally,
evacuation planning is composed of the following steps
(Lahmar, Assavapokee, & Ardekani, 2006):
1) Impact zone: In this step, the evacuation zone is
identified. It is generally dependent on the type of
emergency. In some cases only small area needs to
be evacuated while in some cases complete area
needs to be evacuated, in the present study, for the
case of potential bombing scenario, complete market
is considered as evacuation area. Figure 3 shows the
complete market of Sarojini Nagar market.
Fig. 3. Market area (in red) under consideration for evacuation.
2) Assignment of evacuees to shelter: After defining
area to be evacuated, next is to decide where to
evacuate people. In the case study all the exits are
assumed as a potential shelter. Once the agent is out
of the particular exit, he/she is assumed to be safe.
3) Traffic routing (determining driving direction at each
road): In this step, the best route to reach the shelter
is determined. Different strategies have been
considered in the case study presented in the Section
4.3.
4) Self-evacuation: Agents starts evacuating as soon as
warning is announced. They follow the evacuation
plan considered in various scenarios.
4.2. Simulation inputs
The Sarojini Nagar market area remains crowded most of
the time of the day. Motorized and non-motorized
vehicles are rarely used inside this market area and
therefore all vehicles are ignored in the present study.
Only the walk mode is considered in the simulation
framework.
• Network - The desired evacuation area of Sarojini
Nagar market is taken from Open Street Map
(OpenStreetMap, 2015). All exits of this area are
connected to a safe virtual destination, which is far
away from the centre of selected area. All exits have
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same exit capacities. It is assumed that travel time
from exit points to the safe virtual destination is zero.
The network is converted to desired format of the
simulation framework. The width of the streets are
measured during survey and eventually, due to heavy
encroachment, the effective width of link is
estimated as 4 m which results in a capacity of about
1000 PCU/h per direction. The roads in the Sarojini
Nagar market are partially tiled and partially
concrete and are in good condition. A poor condition
of the surface may increase the evacuation time.
• Plans - In the evacuation situation, only two types
of activities i.e. pre-evacuation and post-evacuation
are considered. The activity locations of these
activities are the locations of agents before and after
the evacuation respectively. All agents use walk
mode to travel between these activities. It is assumed
that all agents start moving out of the market area as
soon as warning is announced. Initial positions and
the density of the agents on each link is calculated
from the survey (see Section 3). In the
simulation, the speed of the agent is assumed as 6
km/h. Passenger car unit (PCU) of the agent is taken
as 0.08 (Tiwari, Fazio, & Gaurav, 2007). Overall,
about 8430 agents are evacuated from the market
area.
• Choice dimension - In this study, 20% of agents are
allowed to change their route until 80% of the
iterations. Simulation is run for 100 iterations. Rest
of the agents until 80% iterations and all agents after
that select a plan from their choice set only which
stabilizes the demand.
4.3. Scenarios
The first step is to identify the bottleneck links in order to
identify the cause and then propose necessary strategic
decisions to rectify and improve the overall evacuation
time. No single hypothetical scenario is expected to
perfectly emulate a real event that will occur in future.
Thus, different situations are considered for evacuation of
pedestrian in market place. These scenarios help in
generating the evacuation plan for an open space
environment. The following scenarios are considered.
• Scenario 1: (No Evacuation Plan): In absence of
any evacuation plan, all agents are left to themselves.
This would replicate the existing situation of the
market area.
• Scenario 2: (Shortest Path): In this scenario, it is
assumed that all agents will evacuate by running to
the nearest exit, taking the shortest path between
their current location and exit. This is recorded as the
“shortest path evacuation time”.
• Scenario 3: (Benchmark Evacuation with
encroachment): In this scenario, evacuation time is
identified based on Nash equilibrium (Lämmel,
Rieser, & Nagel, 2008). Evacuation time calculated
using this approach is termed as the “benchmark
evacuation time”. In reality, it is not possible to
achieve benchmark evacuation time (since this is a
result of several iterations of MATSim with learning
of each outcome) but it is useful to generate a
feasible evacuation plan and compare it with
benchmark time. Streets of the market area are
heavily encroached therefore, in this scenario, the
evacuation time is estimated with the existing
situation.
• Scenario 4: (Planned Evacuation): As discussed
before, in this scenario, an evacuation plan is
proposed aiming to achieve the evacuation time same
as benchmark evacuation time and in turn expecting
to be better than shortest path scenario or no
evacuation plan scenario. The resulting time is called
“planned evacuation time”. This scenario will result
in the development of a route guiding map. In case of
an emergency, these routes can be followed from the
current locations of all agents.
• Further, after analyzing the scenario based on the
link flow in peak hours, more recommendations such
as widening of bottleneck links by removing
encroachments and adding new emergency exits will
also help in further reduction in the evacuation time.
5. Results
It is clear that in the absence of any planning and signage
(Scenario 1), all agents may produce herding behaviour
which results in early degradation of network supply.
Thus, evacuation time will be higher than all other
scenarios due to sheer chaos.
In scenario 2 (shortest path evacuation plan)
everybody moves to their geographically nearest exit
point. This kind of plan is most easy to implement,
because of its unique solution. It is only required to put
sign at crossing of street network. The big disadvantage
of such strategy is that, it does not take congestion in
consideration. Congestion avoidance is important in case
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of evacuation. According to Schadschneider et al. (2009),
to reduce the congestion, two corrective actions can be
taken: change of geometry (wider escape paths) and
proper guidance through signage which helps in
improving orientation capability. Our methodology
intervenes at two levels: it develops signage for the
existing geometry and also makes recommendation on
specific geometry change for faster evacuation.
In the scenario 3 (benchmark scenario), the fastest
route is computed using iterative algorithm of MATSim.
This kind of plan (benchmark) can only be implemented
with proper training and repetitive mock drills, which is
not feasible in practice. Therefore, a practically feasible
evacuation plan is proposed in scenario 4, in which
consistent direction signs are placed at all relevant
locations. A snapshot of such a plan is shown in Figure 4.
Heuristic (colour scheme) and evacuation time of agents
help in making the evacuation plan. Routes that are closer
to exit but with high congestion are bypassed, agents
diverted to a route where there is lesser congestion. The
main advantages of this plan over shortest path plan are
that it considers the congestion effects into consideration
and it is easy to implement. This route guidance map will
also serve as a reference for concerned authorities to
provide evacuation route related instructions to evacuees.
Different scenarios (from Section 4.3) are compared
based on total evacuation time and average evacuation
time per person. The former is the total time to evacuate
all the agents out of the evacuation area. Statistically total
evacuation time is not a good measure for finding
effectiveness of a given evacuation strategy. Thus,
average evacuation time is required, which not only
minimizes the response time but at the same time also
maximizes the flow at given time (Hamacher & Tjandra,
2001). Table 3 shows the results obtained from these
scenarios. Clearly, as expected, benchmark scenario has
the least total evacuation time and average evacuation
time. This corresponds to a first-best condition in which
everyone knows the prevailing congestion conditions and
the best route to exit. Further, for the case of planned
scenario, the total and average evacuation time is
significantly shorter than shortest path scenario and
marginally higher than benchmark scenario.
The comparison of evacuation progress is shown in
Figure 5. It can be observed that evacuation time is the
same for all three scenarios until 50% of the agents are
evacuated. Afterwards, evacuation progress for the
shortest path scenario becomes slowest and evacuation
progress of the benchmark scenario become the fastest.
The links towards Exit A (see Figure 4) become
bottlenecks in the shortest path scenario (observation
from simulation output). Thus to make an effective use of
all the exits, some agents are diverted to another exit. The
procedure is repeated for all other exits. In this way,
planned scenario routing strategy is developed making
use of benchmark routing strategy. The evacuation
progress of planned scenario is marginally slower than
the benchmark scenario.
Effectiveness of the approach: In order to see the
effectiveness of the route guidance map, the same
methodology has been applied to two other markets of
Delhi (India) namely, Lajpat Nagar and Laxmi Nagar.
Evacuation plan for these sites are developed. It can be
Fig. 4. Guiding map: A feasible solution.
Table 3. Average evacuation time per person and total
evacuation time
Scenario evacuation time (min)
average
total
Shortest path 10.05 23.05
Benchmark 8.94 16.46
Planned 9.45 17.32
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observed from Table 4 that planned scenario response
time is better than the shortest path evacuation strategy.
Thus, clearly, the methodology is transferable to any
scenarios where such kind of short-notice evacuation is
required.
6. Discussion
The present study shows the necessity of an evacuation
plan for improving safety and response efforts. The study
provides strategic and tactical recommendations to
improve the response time in case of an emergency
evacuation. Strategic recommendations include
increasing network supply side by making new routes or
by widening the existing roads. These strategic
recommendations help planners to decide the increase in
the capacity of roads, or where an emergency exit should
be made to further improve evacuation response.
Statistical and tactical recommendations deal with
effective utilization of existing capacity. This can be
achieved by properly routing the evacuee through a street
network in order to minimize danger and ensure safety.
The simulation returns the route assignment policy to
reduce congestion and improve response time, which
eventually will reduce the collateral damage. A policy
imperative from this study is that even a static plan would
help in reducing the evacuation time.
Further this work and methodology can also be used
to determine the maximum allowed safe occupancy for an
event in open area, a parameter that can be imposed by
decision makers by way of policy. For this, a safe level of
evacuation time must be determined through consultation
with relevant experts. The evacuation time consists of
two time components: reaction time and egress time
(Kuligowski, 2013). In the present study only latter is
considered and estimated whereas it is assumed that the
agents react instantly after the warning.
This lays a future research direction to incorporate
the different reaction times for different group of persons
depending on the factors such as age and sex similar to
the work by (Agarwal, Lämmel, & Nagel, 2016b) in
which the authors incorporated a uniform reaction time
for all drives in the queue model. Another important
observation of the study is that the egress time is highly
affected by heavy encroachments. Clearly, removing
these encroachments will ease some capacities and would
reduce evacuation time significantly.
In the literature, it has been argued that people tend
to misjudge the likelihood of a disaster event and range of
severity of its impact. This would in turn result in a
different outcome; such behaviors are out of the scope of
the present study.
7. Conclusion
Evacuation time is a critical factor for developing
evacuation strategies. In this work, a methodology to
prepare a guidance map was developed using an agent-
based simulation framework. Initial inputs were
calculated from different surveys. An event of potential
bombing was considered as an example of the disaster
where immediate evacuation is required due to a disaster
on the same location in the past. A real-world case study
of Sarojini Nagar market, Delhi was considered.
Different scenarios were considered and their total and
average evacuation time were compared. It was shown
that with the help of proper signages in planned scenario;
the total and average evacuation time would be
significantly lower than shortest path or no evacuation
plan scenarios and marginally higher than benchmark
scenario. The planned scenario routing map would help
Fig. 5. Plot of evacuation time for different scenario.
Table 4. Total evacuation time for Lajpat Nagar and
Laxmi Nagar markets.
Scenario
Total evacuation time
(min.)
Lajpat Nagar
market
Laxmi
Nagar
market
Shortest path 13.25 11.51
Benchmark 10.01 7.34
Planned 10.46 9.53
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the authorities (the security staff) to guide or push
evacuees. The effectiveness of the proposed methodology
was shown using the same approach for two more
markets of Delhi.
Future work includes an analysis of the robustness of
the suggested evacuation plan, particularly with respect to
distribution of people in the market. Development of a
dynamic evacuation plan, that is, one with message signs
that change dynamically with congestion distribution is
another possible extension. With this, accounting for
behavioral characteristics of agents, after developing
appropriate models for the same, can induce even more
realism in the recommendations.
Acknowledgments
This project is funded by the Human Settlement
Management Institute, Housing and Urban Development
Corporation Limited (HUDCO). The authors also would
like to thank Dr. Gregor Lämmel for his helpful
comments. Lastly the authors would like to acknowledge
the contribution of Prem Chand and Rama Shankar for
carrying out several supporting tasks throughout the
duration of the project.
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