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http://www.iaeme.com/IJM/index.asp 1 [email protected]
International Journal of Management (IJM) Volume 11, Issue 7, July 2020, pp. 1-12, Article ID: IJM_11_07_001
Available online at http://www.iaeme.com/IJM/issues.asp?JType=IJM&VType=11&IType=7
ISSN Print: 0976-6502 and ISSN Online: 0976-6510
DOI: 10.34218/IJM.11.7.2020.001
© IAEME Publication Scopus Indexed
AN INFERENCE METHOD OF SAFETY
ACCIDENTS OF CONSTRUCTION WORKERS
ACCORDING TO THE RISK FACTOR
REDUCTION OF THE BAYESIAN NETWORK
MODEL IN LINEAR SCHEDULING
Jongsik Lee
Professor, Department of Architectural Engineering,
Songwon University, Gwangju Metropolitan City, Republic of Korea.
ORCID: 0000-0001-6372-3554
Jaeho Cho*
Research Professor, Department of Architectural Engineering,
Dankook University, Gyeonggi-do, Republic of Korea.
*Corresponding Author
ABSTRACT
To protect workers' safety and health at the construction site is becoming a core
value of the construction site. A safer working environment is created when risk
factors on site work are recognized in advance. This study targets the worker's 1-day
cycle activity in Linear Scheduling. In addition, this study suggests a Bayesian
network model that presents risk factors and probability of accidents. Accidents come
down to a final disaster through causal relationship from various existing risk factors.
The physical risk factors of the workspace are the most direct cause of accidents. This
study uses the Bayesian network model to compare the probability of accidents caused
by changes in the safety environment of the work from the risk factors that have been
eliminated and those that have not been eliminated. Statistical probability values
confirm that accident risks can be remarkably reduced when all possible risk factors
are reviewed and eliminated in advance.
Key words: Building Construction, Safety Management, Linear Scheduling, Bayesian
Network
Cite this Article: Jongsik Lee and Jaeho Cho, An Inference Method of Safety
Accidents of Construction Workers According to the Risk Factor Reduction of the
Bayesian Network Model in Linear Scheduling, International Journal of
Management, 11(7), 2020, pp. 1-12.
http://www.iaeme.com/IJM/issues.asp?JType=IJM&VType=11&IType=7
An Inference Method of Safety Accidents of Construction Workers According to the Risk Factor
Reduction of the Bayesian Network Model in Linear Scheduling
http://www.iaeme.com/IJM/index.asp 2 [email protected]
1. INTRODUCTION
1.1. Background and Purpose of Study
According to the construction accident statistics in 2018 of the Korea Industrial Safety
Association, the number of deaths in the construction industry was 579, an increase of 4.5%
compared to the previous year. The main causes of safety accidents are unstable working
environment at the construction site, unskilled workers' behavior, excessive production
pressure, improper allocation of resources and time and insufficient training. For safe work,
prior recognition of risks must be strengthened. Also, a safe environment should be created by
minimizing risk factors. The first step for safety is to conduct a thorough check according to
the safety review list. Recently, studies have been actively conducted to evaluate and
recognize risks in advance that may occur in the construction work process using BIM-4D
(3D-Scheduling) information [1-7]. BIM-4D (3D-Scheduling) information provides the
worker with a visualized field work process. This provides a safer work environment by
helping workers understand the work and easily identify potential risks. Risk factors at the
site must be recognized and eliminated or minimized prior to commencement of work. Recent
safety management studies automatically provide safety checklists to workers by informing
the causes of accident risks. In addition, these studies are being actively carried out around IT
technology that can recognize the risks of the workspace in advance using Internet of Things
(IoT) technology [8]. Future construction technologies are expected to develop in the
direction of BIM-Virtual Reality (VR) where workers experience risks and identify risk
factors [9-10]. Another approach in safety management study is AI learning. In developed
countries regarding to the safety management, including the United States and Europe,
learning-based safety accident inference methods using the fuzzy theory and Bayesian
network have been continuously studied [11-13].
This study targets the planned activities of workers. In addition, this study proposes an
accident risk inference method using the Bayesian network, based on Linear Scheduling
Method that can easily apply BIM-4D technology. Here, the inference of accident risk
compares the probability of an accident when the risk factor inherent in the work is eliminated
and the probability of an accident when the risk factor inherent in the task is not eliminated.
This study does not focus on 'Whose fault is the accident?' and it has started with the purpose
of preventing accident recurrence by analyzing the root causes (the process of causing causes
over time) regarding to „Why is the accident repeated?‟ and „What is the problem?‟. Many
researchers have proposed various methods about accident cause analysis. However, studies
that predict accidents with similar risk factor information and reduce the accident risks have
been lacking. On-site feedback information providing real-time accident causes which can be
occurred in a similar work environment is one of the effective ways to minimize accident
occurrence. In another way, the experience and knowledge of the safety manager is an
important factor, so building a knowledge data platform for the accident cause is the most
powerful tool that can be shared the safety knowledge of numerous works of construction. In
order to reduce safety accidents, an implementation plan of construction work must be
premised. If the on-site scheduling and schedule progress do not coincide and are proceeding
differently, the risk of an accident will inevitably increase due to an inadequate safety plan. If
the planned safety plan differs from the actual safety plan, the risk of accidents increases in
the schedule management on site. Therefore, the risk assessment of the construction site
should be evaluated according to the actual implementation scheduling.
BIM-4D technology is the basis for on-site schedule synchronization. Once an approved
implementation plan has been prepared for the worker's 1-week work and 1-day work, the
site's safety evaluation (safety check) can predict the risk based on the implementation work
Jongsik Lee and Jaeho Cho
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plan. If the work is delayed or changed, the site safety evaluation (safety check) is re-executed
based on the changed work. The reliability of the risk assessment of the work can be secured
based on the worker's changed schedule and working environment.
2. METHOD OF STUDY
Several construction accident prediction studies have proposed accident prediction algorithms
using Case Based Reasoning method or AI neural network. These studies, however, do not
sufficiently prove the reliability and effectiveness of the construction accident prediction [14].
Current safety accident prediction methods extract accident data from similar work types and
infer the risk of accidents for the current planned work. To secure the reliability of the
accident prediction, the worker's work location and the surrounding environment of the work
are important factors. Therefore, in order to secure the effectiveness of the prediction
algorithm, 1-day actual plan must be reflected. Among various scheduling methods, Linear
Scheduling Method is the most effective schedule management method that can track and
manage the work location of workers in real time.
This study targets formwork and proposes an inference method in the following order to
predict the accident risk. First, the root causes of the work are analyzed through accident data
of formwork. Second, the risk factors of the formwork are classified by the Fault Tree
Analysis (Hereinafter, FTA) frame. Third, the Bayesian network model is applied to Linear
Scheduling in order to infer workers' risks. Fourth, the risk probability of accidents is
compared when the risk factors are identified and removed in the formwork and when the risk
factors are not eliminated. The results of the study are summarized and the limitations of this
study and future study directions are suggested.
3. STUDY MODEL DESIGN
3.1. Location-based Scheduling in Linear Scheduling
Linear Scheduling Method (Hereinafter, LSM) is a graphical scheduling method focusing on
continuous resource utilization in repetitive activities [15]. LSM is used mainly in the
construction industry to schedule resources in repetitive activities commonly found in
highway, pipeline, high-rise building and rail construction projects. These projects are called
repetitive or linear projects. LSM is called by various names such as VPM (Vertical
Production Method), RPM (Repetitive Project Model) and Location Scheduling. LSM is
divided into units of work or work location and work zoning on the vertical axis, and the
horizontal axis is expressed as the flow of time. The slope of Linear Scheduling indicates the
productivity or construction speed of the work. LSM is relatively easy to write than network
scheduling and provides more information than Bar Chart. In addition, LSM has the
advantage of being able to simply plot the schedule progress rate for each workspace of the
work which is difficult to express in a bar chart or network scheduling.
In general, one work is represented by a parallelogram (Vertex A-B-C-D) with the slope
). The X-axis is the time axis and the Y-axis is the units of a unique workspace or facility.
In the case of Figure 1, there are workspaces from 1 to N. It indicates that the workspaces are
constructed sequentially from the lower numbered workspace to the higher numbered
workspace. The points A and B of the parallelogram indicate the time at which the work was
started and completed by putting 'Work Team 1' into 'Zone 1', respectively. The points C and
D of the parallelogram indicate the time at which the work was started and completed by
putting „Work Team 2‟ into „Zone N‟, respectively. The distance between points A and B of
the parallelogram means the period (work time of Zone 1) in which „Work Team 1' was put
into 'Zone 1' to perform the schedule. The distance in the X-axis direction between points A
and D represents the total duration of the work performed by the entire project zones. Linear
An Inference Method of Safety Accidents of Construction Workers According to the Risk Factor
Reduction of the Bayesian Network Model in Linear Scheduling
http://www.iaeme.com/IJM/index.asp 4 [email protected]
scheduling is a method to achieve the optimization of the entire project by adjusting the
working time of the workspace, the number of work groups and the slope ) of the work.
Line of Balance (Hereinafter, LOB) is a management control process used in construction
Figure 1 Expression of Linear Scheduling Method
Figure 1 is the concept of Linear Scheduling that X work teams are put and consisting of
N zones which one work is procured sequentially [15].
The purpose of using LOB in Linear Scheduling is to determine the appropriate number of
workers to be put into each repetitive task to support balanced schedule management. LOB
shows the process, status of project, work size continuity, and background of work, time and
phase of project activities providing management with measuring tools. LOB assists project
management by comparing a formal objective against actual progress, examining only the
deviations from established plans, and gauging their degree of severity with respect to the
remainder of the project, dealing with problem and trouble causing areas and problem solving
within specific constrains.
LOB is performed in the following order as shown below.
(1) Unit of the unit is constructed at a ratio that satisfies a predeterminate deadline.
(2) Maintain a logical Critical Path Method (CPM) network of each unit.
(3) Work continuity of the worker is maintained.
(4) Measure the degree of work progress in the workspace or unit.
(5) Maintain the balance of the work by analyzing the severity of the problem with respect to
the remaining work units.
Figure 2 Example of Linear Scheduling
Jongsik Lee and Jaeho Cho
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Figures 2 and 3 are examples of LOB analysis expressing the degree of work progress by
workspace with the base of 18 days of work progress in Linear Scheduling.
Figure 3 Example of LOB analysis that analyze the degree of progress by unit
3.2. Risk Factor Analysis of Worker
FTA is frequently used in study and practice to discover the root cause of accidents and it was
developed in 1962 by Waston of Bell Labs, USA. FTA is a deductive method for identifying
the cause of a specific accident and it is a safety evaluation method that is widely used for
quantitative prediction of accidents. FTA draws fault tree diagrams that represent various
combinations of device disorder and failures that can lead to accidents or events. First, it is
assumed that accidents do not occur if the work proceeds as usual in order to make FTA. It is
analyzed the causes over time in order, with the progress of the work as the Y-axis. To
finalize FTA, the indirect causes are eliminated and only the direct causes are subdivided and
materialized. The most direct causes are classified at the lowest stage of FTA and abstract
them at the upper stage to summarize them as conceptual causes.
The following figure 4 is the concept converting the cause of accident over time into FTA.
Figure 4 FTA converting concept of accident cause over time
3.3. Bayesian Network
A Bayesian network, Bayes network, belief network, decision network, Bayesian model or
probabilistic directed acyclic graphical model is a probabilistic graphical model (a type of
statistical model) that represents a set of variables and their conditional dependencies via a
directed acyclic graph (DAG). Bayesian networks are ideal for taking an event that occurred
and predicting the likelihood that any one of several possible known causes was the
An Inference Method of Safety Accidents of Construction Workers According to the Risk Factor
Reduction of the Bayesian Network Model in Linear Scheduling
http://www.iaeme.com/IJM/index.asp 6 [email protected]
contributing factor. For example, a Bayesian network could represent the probabilistic
relationships between diseases and symptoms. Given symptoms, the network can be used to
compute the probabilities of the presence of various diseases. In addition, in the Bayesian
network, it is possible to apply effective algorithms for performing inference and learning.
Using the Bayesian network, a causal relationship of construction accident from the risk
factors regarding to the construction work is set and the accidents of the construction workers
can be predicted through a prediction algorithm. Safety evaluation of construction work is
replaced by the concept of symptoms, and construction accidents are replaced by the concept
of diseases.
The most basic Bayesian network equation is the following.
Several equivalent definitions of a Bayesian network have been offered. For the
following, let be a directed acyclic graph(DAG) and let be a set
of random variables indexed by . is a Bayesian network with respect to if its joint
probability density function (with respect to a product measure) can be written as a product of
the individual density functions, conditional on their parent variables [16].
∏
where is the set of parents of (i.e. those vertices pointing directly to v via a single
edge). For any set of random variables, the probability of any member of a joint distribution
can be calculated from conditional probabilities using the chain rule (given a topological
ordering of ) as follows.
∏
Using the definition above, this can be written as:
∏
The difference between the two expressions is the conditional independence of the
variables from any of their non-descendants, given the values of their parent variables.
4. STUDY MODEL
4.1. Bayesian Network of Work Risk
The basic structure of the work risk using the Bayesian network is divided into the causes of
the lower stage and the causes of the higher stage. The basic structure of the Bayesian
network for accident prediction in construction work was proposed in a study by Limao
Zhang [14]. The parent node at the top stage represents an accident occurring in construction.
In the parent node, an accident in the construction has the child node which is the second
stage. The occurrence of the cause of the child node sequentially leads to the result of the
parent node. The parent node has multiple child nodes of the lower stage and the parent node
of the higher stage is defined as an abstract cause. The child node of the lower stage is defined
as causes of practical physical accidents.
The topic of this study began with the premise that the risk factors identified in
construction work can be eliminated or reduced. Theoretically, the causes of the physical
accidents identified by a safety manager can be eliminated to prevent accidents at the
construction site. However, unidentified risk factors or potential risk factors that have been
Jongsik Lee and Jaeho Cho
http://www.iaeme.com/IJM/index.asp 7 [email protected]
identified but not eliminated remain. The Bayesian network can increase the accuracy of
inference by removing only the confirmed cause of the accident.
The following Figure 5-(a) is the basic structure of the Bayesian network that analyzes the
probability of an accident. The following Figure 5-(b) shows the Bayesian network inference
concept that infers the accident occurrence by removing the risk factors that are not likely to
occur through confirmation by the safety manager.
(a) Basic structure of Bayesian network to interpret the accident occurrence stochastically
(b) Bayesian network inference concept inferring the accident occurrence
Figure 5 Basic model of Bayesian network for inferring the construction accident and the accident
causes which are eliminated through the safety review
4.2. Linear Scheduling and Integrated Model of Risk Factors
The advantage of the Linear Scheduling is that the completed work and the scheduled work
are clearly divided. Based on the Linear Scheduling, the daily schedule progress check and
the implementation plan of the tomorrow's work are prepared so that risk factors can be
identified before the work is performed. The risk factors of the work must be based on the
location of the facility. Therefore, the risk assessment of the work can be integrated through a
daily scheduling and a spatial classification system of facilities.
An Inference Method of Safety Accidents of Construction Workers According to the Risk Factor
Reduction of the Bayesian Network Model in Linear Scheduling
http://www.iaeme.com/IJM/index.asp 8 [email protected]
The following Figure 6 shows a model that integrates schedule management and safety
management on a daily basis.
Figure 6 Integrated model of scheduling and safety
5. CASE APPLICATION
Among the construction works, formwork is a work that causes more accidents than other
types of construction. According to a report that analyzed the current status of accidents in the
Korean construction industry in 2018 by schedule, 4,529 of the 18,891 injured workers were
formwork workers, accounting for 24% of the total. The incidence rate by type of accident
was analyzed as falling (30.4%), hit by objects (20.8%), slipping (19.1%), bumping (13.1%)
and pinching (8.3%) [17].
Table 1 categorizes the physical factors of serious accidents occurred during the
formwork. Representative physical factors can be classified into improper working method,
insufficient safety equipment and insufficient electrical equipment, and detailed risk factors
have been classified.
Table 1 Cause of serious accident occurrence of formwork
Item Main risk cause Number of
occurrences
Component
ratio
Improper
working
method
Poor assembly work and installation conditions of
formwork, copper and temporary equipment
17 53%
Poor material loading method 2
Poor work path 32
Non-compliance with safety pitch 4
Stacking soil on top of the excavation 1
Stylobate disorder of site 1
Non-compliance with construction process 2
Insufficient
safety
equipment
Fall prevention non-installed and insufficient 32 44%
Insufficient fall prevention net 4
Poor horizontal coupling installation 1
Without chain block hook release device 1
Insufficient safety belt 9
Insufficient retaining of earth reinforcement 2
Insufficient
electrical
equipment
Electric machine short circuit 4 4%
Jongsik Lee and Jaeho Cho
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Using the classification results for the risk causes of formwork accidents in Table 1, the
FTA model for the occurrence of accidents in formwork can be prepared as shown in Figure
7.
Figure 7 FTA analysis model for formwork
The following example of a linear scheduling is a two-story concrete frame construction.
The construction area is divided into three areas: A, B and C, and the work carry out in each
area. The work duration and the number of workers of each work are shown in Table 2 below.
The base point and location for the prediction of accidents is Area A on the n+1 floor of Work
2 Formwork on Day 11.
Table 2 Work duration and the number of workers of each work
Number of work Work type Work duration (day) Work group
Work 1 Rebar construction 2 days Work group 1
(6 workers)
Work 2 Formwork 2~3 days Work group 2
(9 workers)
Work 3 Concrete pouring 1 day Work group 3
(5 workers)
Figure 8 Linear Scheduling of concrete construction
An Inference Method of Safety Accidents of Construction Workers According to the Risk Factor
Reduction of the Bayesian Network Model in Linear Scheduling
http://www.iaeme.com/IJM/index.asp 10 [email protected]
The following presents the inference process of the formwork accident by combining the
FTA model of the formwork and the Linear Scheduling which are prepared. The formwork's
FTA model is converted to the Bayesian network model as shown in Figure 9. The scope of
the accident inference is limited to the causal relationship of X1, X2, X3, X4(1) and X5. X1 is
improper working method, X2 is insufficient safety equipment, X3 is caused by insufficient
electrical equipment, and X4(1) is the risk factor of X1, X2 and X3, indicating the slipping of
the worker.
For workers, the probability of occurrence at each node was assumed as follows through
data collection of accident cases.
(1) P(X1): Improper work method (total probability 5% to be performed as inappropriate work
for all workers in construction work)
(2) P(X2): Insufficient safety equipment (4% probability of insufficient safety equipment for
all workers in construction work)
(3) P(X3): Insufficient electrical equipment (0.4% probability of insufficient electrical
equipment for all workers in construction work)
(4) P(X4(1)): Slipping, pouring out (0.2%+0.05%=0.25% probability of slipping accident for
all workers in construction work)
(5) P(X4(2)): Falling (0.33% probability of fall accident for all workers in construction work)
(6) P(X5): Serious accident regarding to formwork (0.6% probability for the entire
construction work)
The induction probability of X4(1) by X1, X2, X3 is set as follows.
Therefore, the combination probability of P(X1,X2,X4(1)) is described as the following
equation.
( | )
If the risk factor of X3 exists, the combination probability of P(X1,X2,X3,X4(1)) is
calculated as follows.
( | ) | )
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It can be seen that the probability of P(X1,X2,X3,X4(1)) is increased by 1.44% than the
probability of P(X1,X2,X4(1)).
Figure 9 Bayesian network model that can occur in formwork
6. CONCLUSION
Risk assessment and safety check performed daily at construction sites are the most important
elements of accident prevention. This study proposed a Bayesian network inference method
for the accident risks of the worker in construction work based on the Linear Scheduling. The
cause of the accident was analyzed over time to analyze the root cause of the accident. If this
study model is used, it is expected that preemptive safety management having secured
reliability will be possible by evaluating the risk factors in response to individual tasks of
workers.
The risk probability of formwork in this study was inferred using the assumed data.
Therefore, it is considered that it is necessary to collect and analyze macroscopic big data
about the cause of the accident in order to increase the accuracy of the risk probability of this
study model. In addition, in order to effectively reduce safety accidents, it is necessary to
collect and analyze data for the entire construction work.
ACKNOWLEDGEMENTS
This study was supported by research fund from Songwon University 2020 (C2020-05).
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