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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 4218
FUZZY LOGIC APPROACH IN CONSTRUCTION DELAY ANALYSIS
Mathew B K1, Reshma Kassim2
1PG Student, Structural Engineering and Construction Management, Department Of Civil Engineering, Saintgits
College of Engineering, Kottayam, Kerala, India
2Assistant Professor, Department of Civil Engineering, Saintgits College of Engineering, Kottayam, Kerala, India
---------------------------------------------------------------------***---------------------------------------------------------------------
Abstract – Delays are the biggest problem faced by the
construction industry in India. Completing projects in time is
the vital part of any construction project, but the construction
process is subjected to many variables and unpredictable
factors which make the timeoverrun. Thesefactorsresultfrom
many sources such as availability of resources, external
factors, performance of parties, work specifications etc. When
there is a delay in project not only it creates negative impact
throughout the project but it also leads to loss of productivity,
increased cost and contract termination. Delays in
construction projects are inevitable and it mayend in disputes
among different construction parties. Delays in construction
project needs to be identified and eliminated.
This paper describes the application of fuzzy logic toolbox of
Matlab Software for identifying the scheduled delays in
construction projects. A case study of housingprojectatKochi,
Kerala is also included. Fuzzy logic provides a convenient
deduction of result with vague input. The scheduled delay was
obtained to be 32.9 percent from the actual schedule.
Keywords: Delay Analysis; Fuzzy Logic; MATLAB;
Construction project; Work specifications.
1. INTRODUCTION
Planning and control of resources within the framework ofa
project is the main target of construction management.
Various project management procedures guide on how the
available resources can be best used during a construction
work. Delay in schedule is widespreadinmostoftheprojects
from around the world. Some of them may happen in the
preconstruction phase, and some other in the construction
phase. These delays create huge negative impacts on overall
project performance. Schedule delay analysis is a method
that is adopted in order to identify possible delay causing
factors and measure the net impacts of these delays in a
project. In schedule analysis, certain specific tools such as
bar chart schedules and critical path method (CPM)
schedules are used. Great amount of research works have
been done in this field and presented common schedule
analysis techniques. Some of them also have proposed new
methodologies to the construction industry specifically.
However, no single method is applicable in all kind of
projects since each of these delay analysis technique has its
own advantages and disadvantages. Main objective of this
study is to propose a decision support tool for quantifying
the probability of scheduled delay in construction projects.
2. LITERATURE REVIEW
Onur B. Tokdemir et al (2019) proposed a delay risk
assessment method for project scheduled by LineofBalance
(LOB). In this method the schedule is prepared considering
the target rate of delivery. The risk scenarios are defined
considering the sources of uncertainty and vulnerability of
activities. Then probability distributions are determined for
the required number of labor-hours for each activity. For
quantifying the delay risk of the project, Monte Carlo
simulation method is used. Issaka Ndekugri et al (2016)
did an empirical study into the current practices of delay
analysis methodologies used in the United Kingdom. The
work was part of a wider project that aimed at developing a
framework for improving delay claims analysis. The work
was based on a questionnaire survey of key informants in
the construction field. The research found out that delay
claims require inputs from various personnel involved in a
work such as, commercial managers, schedulers, site
managers, external claim consultants and estimators.
However, commercial managers have greatest involvement
in it. The study also found that claims analyzed using the
methods; as-built versus as-planned and the impacted as-
planned, are both successful.Nuhu Braimah(2015)studied
the various common construction delay analysis techniques
(DATs) based on a case study, i.e.; a review of the key
relevant issues often not addressed by the various delay
analysis techniques, and the necessary improvements
needed in them. From the study it was confirmed that
different analysis techniques yield different results for the
same delay claims scenario, and this was mainly due to their
unique application procedures.
3. FUZZY ASSESSMENT MODEL TO ESTIMATE THE
PROBABILITY OF SCHEDULE DELAY
3.1 INTERVIEW WITH EXPERTS AND CREATION OF
FUZZY RULES
An interview with experts in construction field was
conducted to obtain the fuzzy weight or rule weight for the
rules in fuzzy logic toolbox. The interview was conducted
with various personals such as Engineers,Qualitycontroller,
Planners, Supervisors, Builders etc. They were asked to give
values to different delay causing factors ranging from 0 to
100, 0 being least causable and 100 highly causable. These
results obtained were converted into percentage values
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 4219
which are known as fuzzy weights or rule weights. The
obtained results were summarized into a table as follows.
Table 6.1 Responses obtained from interview with
experts.
Factors Causes Value
Labour
Related
Factors
a) Labour strike 0.276
b) Conflicts among labour 0.206
c) Inexperienced Labour 0.35
d) Absent labors 0.311
e) Labour shortage 0.35
f) Less motivation for labour 0.255
g) Poor communication between
workers and supervisor
0.288
Project
Related
Factors
a) Short original contract
duration
0.252
b) Delay penalties 0.218
c) Project complexity 0.355
d) Disputes among project
parties
0.334
Consultant
related
factors
a) Inexperienced consultants 0.261
b) Inspecting and testing delays 0.313
c) Conflicts between consultants
and design engineer
0.266
d) Poor communication and
coordination with other parties
0.435
e) Delay in approval of design
documents
0.408
Contractor
related
factors
a) Poor site management and
supervision
0.452
b) Poor planning and scheduling
of project
0.320
c) Frequent change of
subcontractors
0.257
d) Poor communication and
coordination with other
parties
0.270
e) Rework due to errors 0.326
f) Inexperienced contractors 0.354
g) Unreliable Subcontractors 0.438
External
Related
factors
a) Inclement weather conditions 0.282
b) Variation in price 0.420
c) Global financial crisis 0.397
d) Changes in government
regulations and laws
0.268
e) Unexpected surface and
subsurface conditions
0.355
f) Delays in providing services
from utilities
0.331
g) Delay in transportation 0.272
h) Accidents during construction 0.484
i) Natural disaster 0.232
The proposed fuzzyassessmentmodelwastestedinaProject.
An interview was developed to assess the perceptions of a
leading Construction Company to test the proposed fuzzy
assessmentmodelconsideringthelatestprojectconductedby
the company. This company has a significant experience in
construction projects as mass housing projects. Following
tasks were performed by the company:
1. To fill in the evaluation form of schedule delay
probability by assigning input values (schedule delay
factors) from 0 (probability is very low: VL) to 100
(probabilityis very high: VH).
2. To estimate the probability of schedule delay of the
project.
Company has formed commission, whose members were
composed of five (5) experienced civil engineers including
site managers, site engineers, technical office engineers,
technical consultants. It was assumed that:
1. The commission members had significant information
about schedule delay factors in construction projects.
2. The commission members allocated necessary time to
perform the required tasks.
3. The commissionmembers wereexpertsofconstruction
projects.
Based on their professional judgment, the commission
members checked and filled in the form including eighty
three well organized schedule delay factors. The consultant,
contractor, design, equipment, external, labour, materials,
owner and project related delay factor groups were
considered. The filled the questionnaire form is as shown in
the table 6.2.
Table 2 Questionnaire filled by commission members
Factors Causes Values
Labour
Related
Factors
a) Labour strike 21.25
b) Conflicts among labour 1125
c) Inexperienced labour 18.75
d) Absent labors 32.5
e) Labour shortage 37.5
f) Less motivation for labour 18.75
g) Poorcommunicationbetween
workers and supervisor 10
Project
Related
Factors
a) Short original contractduration 20
b) Delay penalties 5.75
c) Project complexity 28.75
d) Disputes among projectparties 33.75
Consult
ant
a) Inexperienced consultants 175
b) Inspecting and testing delays 28.75
c) Conflicts betweenconsultants
and design engineer 33.75
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 4220
related
factors
d) Poor communication and
coordination with other parties 25
e) Delay in approval of design
documents
31.25
Contrac
tor
related
factors
a) Poor site management and
supervision
27.5
b) Poor planningandscheduling
of project
31.66
7
c) Frequent change of
subcontractors
5
d) Poor communication and
coordination with other
parties
17.5
e) Rework due to errors 27.5
f) Inexperienced contractors 23.75
g) Unreliable Subcontractors 20
External
Related
factors
a) Inclementweatherconditions 47.5
b) Variation in price 26.66
c) Global financial crisis 20
d) Changes in government
regulations and laws 47.5
e) Unexpected surface and
subsurface conditions 32.5
f) Delays in providing services
from utilities
18.75
g) Delay in transportation 12.5
h) Accidents during construction 22
i) Natural disaster 55
Since fuzzymodelcalculationsweresomuchtimeconsuming,
Fuzzy Logic Toolbox of the MATLAB Program Software was
utilized to save time. The interface of fuzzy toolbox of
MATLAB is shown in figure 1.
Fig.1 Graphical user interface tools in the fuzzy logic
toolbox
Delay probability outputsofthiscasestudywereobtained
using Fuzzy Logic Toolbox of the MATLAB Software and are
shown in the Table 3.
Table 3 Probability outputs of the case study
Group of factor Probability
output
Labour Related Factors 21.42
Project Related Factor 22.68
Consultant Related Factor 29
Contractor Related Factor 21.975
External Related Factor 34.67
Owner Related Factor 12.17
Material Related Factor 13.30
Design Related Factor 32.96
Equipment Related Factor 41.245
SCHEDULED DELAY 32.9
CONCLUSIONS
In construction projects the management of time is highly
important. Therefore, predicting the likelihood of schedule
delay play a key role towards a project’s success. This
research aimed to propose a decision support tool for
contractors to quantify the probability of schedule delay
before the bidding stage. For this purpose, fuzzy logic from
fuzzy logic toolbox of Matlab software is used.
The main objective was to address the most contributing
factors and groups to cause schedule delays (i.e., to discuss
the probability of the factors and groups that need
attention).This objective was achievedthroughdiscussion of
the case study results. The highest probability outputforthe
groups was found as “Equipment related delay factors” by
41.24 showing a range of medium causable probability
level for the case study project. For each groups, the most
and least contributing factors to cause schedule delay were
presented. Future studies can be designed by utilizing
different model parameters such as: different number and
group of schedule delay factors, linguistic variables and
membership functions, fuzzy rules, weights of rules,
aggregation and de-fuzzification methods. This thesis opens
up a realm of possibilities where future researchers can
produce more powerful, user friendly softwares that can
analyze all the possible schedule delay factors, producing
fast and reliable results.
REFERENCES
[1] Braimah, N., (2015), Construction Delay Analysis
Techniques- E Review of Application Issues and
Improvement Needs, Buildings, Vol. 3, Issue 3.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 4221
[2] V, Meena., and Babu, K. S., (2015) Study on TimeDelay
Analysis for Construction Project Delay Analysis,
International Journal of Engineering Research and
Technology, Vol. 4, Issue 3.
[3] Singh,S.,andTrivedi,M.K.,(2012),ApplicationofFuzzy
Logic in Delay Analysis in Construction, International
Journal of Computational Engineering Research, Vol. 2,
Issue 2.
[4] Perera N. A., Sutrisna, M., and Yiu, T. W., (2016),
Decision-Making Model for Selecting the Optimum
Method of Delay Analysis in Construction Projects,
Journal of Management in Engineering, Vol. 32, Issue 5.
[5] Bijwar, R. M., and More, A. B., (2017),DelayAnalysisin
Construction of Redevelopment, International Research
Journal of Engineering and Technology, Vol. 4, Issue 7.
[6] Tokdemir, O. B., Erol, H., and Dikmen, I., (2019),
Delay Risk Assessment of Repetitive Construction
Projects Using Line-of-Balance Scheduling and Monte
Carlo Simulation, Journal of Construction Engineering
and Management, Vol. 145, Issue 2.
[7] Ndekugri, I., Braimah, N., and Gameson, R., (2008),
Delay Analysis within Construction Organizations,
Journal of Construction Engineering and Management,
Vol. 134, Issue 9.

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  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 4218 FUZZY LOGIC APPROACH IN CONSTRUCTION DELAY ANALYSIS Mathew B K1, Reshma Kassim2 1PG Student, Structural Engineering and Construction Management, Department Of Civil Engineering, Saintgits College of Engineering, Kottayam, Kerala, India 2Assistant Professor, Department of Civil Engineering, Saintgits College of Engineering, Kottayam, Kerala, India ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract – Delays are the biggest problem faced by the construction industry in India. Completing projects in time is the vital part of any construction project, but the construction process is subjected to many variables and unpredictable factors which make the timeoverrun. Thesefactorsresultfrom many sources such as availability of resources, external factors, performance of parties, work specifications etc. When there is a delay in project not only it creates negative impact throughout the project but it also leads to loss of productivity, increased cost and contract termination. Delays in construction projects are inevitable and it mayend in disputes among different construction parties. Delays in construction project needs to be identified and eliminated. This paper describes the application of fuzzy logic toolbox of Matlab Software for identifying the scheduled delays in construction projects. A case study of housingprojectatKochi, Kerala is also included. Fuzzy logic provides a convenient deduction of result with vague input. The scheduled delay was obtained to be 32.9 percent from the actual schedule. Keywords: Delay Analysis; Fuzzy Logic; MATLAB; Construction project; Work specifications. 1. INTRODUCTION Planning and control of resources within the framework ofa project is the main target of construction management. Various project management procedures guide on how the available resources can be best used during a construction work. Delay in schedule is widespreadinmostoftheprojects from around the world. Some of them may happen in the preconstruction phase, and some other in the construction phase. These delays create huge negative impacts on overall project performance. Schedule delay analysis is a method that is adopted in order to identify possible delay causing factors and measure the net impacts of these delays in a project. In schedule analysis, certain specific tools such as bar chart schedules and critical path method (CPM) schedules are used. Great amount of research works have been done in this field and presented common schedule analysis techniques. Some of them also have proposed new methodologies to the construction industry specifically. However, no single method is applicable in all kind of projects since each of these delay analysis technique has its own advantages and disadvantages. Main objective of this study is to propose a decision support tool for quantifying the probability of scheduled delay in construction projects. 2. LITERATURE REVIEW Onur B. Tokdemir et al (2019) proposed a delay risk assessment method for project scheduled by LineofBalance (LOB). In this method the schedule is prepared considering the target rate of delivery. The risk scenarios are defined considering the sources of uncertainty and vulnerability of activities. Then probability distributions are determined for the required number of labor-hours for each activity. For quantifying the delay risk of the project, Monte Carlo simulation method is used. Issaka Ndekugri et al (2016) did an empirical study into the current practices of delay analysis methodologies used in the United Kingdom. The work was part of a wider project that aimed at developing a framework for improving delay claims analysis. The work was based on a questionnaire survey of key informants in the construction field. The research found out that delay claims require inputs from various personnel involved in a work such as, commercial managers, schedulers, site managers, external claim consultants and estimators. However, commercial managers have greatest involvement in it. The study also found that claims analyzed using the methods; as-built versus as-planned and the impacted as- planned, are both successful.Nuhu Braimah(2015)studied the various common construction delay analysis techniques (DATs) based on a case study, i.e.; a review of the key relevant issues often not addressed by the various delay analysis techniques, and the necessary improvements needed in them. From the study it was confirmed that different analysis techniques yield different results for the same delay claims scenario, and this was mainly due to their unique application procedures. 3. FUZZY ASSESSMENT MODEL TO ESTIMATE THE PROBABILITY OF SCHEDULE DELAY 3.1 INTERVIEW WITH EXPERTS AND CREATION OF FUZZY RULES An interview with experts in construction field was conducted to obtain the fuzzy weight or rule weight for the rules in fuzzy logic toolbox. The interview was conducted with various personals such as Engineers,Qualitycontroller, Planners, Supervisors, Builders etc. They were asked to give values to different delay causing factors ranging from 0 to 100, 0 being least causable and 100 highly causable. These results obtained were converted into percentage values
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 4219 which are known as fuzzy weights or rule weights. The obtained results were summarized into a table as follows. Table 6.1 Responses obtained from interview with experts. Factors Causes Value Labour Related Factors a) Labour strike 0.276 b) Conflicts among labour 0.206 c) Inexperienced Labour 0.35 d) Absent labors 0.311 e) Labour shortage 0.35 f) Less motivation for labour 0.255 g) Poor communication between workers and supervisor 0.288 Project Related Factors a) Short original contract duration 0.252 b) Delay penalties 0.218 c) Project complexity 0.355 d) Disputes among project parties 0.334 Consultant related factors a) Inexperienced consultants 0.261 b) Inspecting and testing delays 0.313 c) Conflicts between consultants and design engineer 0.266 d) Poor communication and coordination with other parties 0.435 e) Delay in approval of design documents 0.408 Contractor related factors a) Poor site management and supervision 0.452 b) Poor planning and scheduling of project 0.320 c) Frequent change of subcontractors 0.257 d) Poor communication and coordination with other parties 0.270 e) Rework due to errors 0.326 f) Inexperienced contractors 0.354 g) Unreliable Subcontractors 0.438 External Related factors a) Inclement weather conditions 0.282 b) Variation in price 0.420 c) Global financial crisis 0.397 d) Changes in government regulations and laws 0.268 e) Unexpected surface and subsurface conditions 0.355 f) Delays in providing services from utilities 0.331 g) Delay in transportation 0.272 h) Accidents during construction 0.484 i) Natural disaster 0.232 The proposed fuzzyassessmentmodelwastestedinaProject. An interview was developed to assess the perceptions of a leading Construction Company to test the proposed fuzzy assessmentmodelconsideringthelatestprojectconductedby the company. This company has a significant experience in construction projects as mass housing projects. Following tasks were performed by the company: 1. To fill in the evaluation form of schedule delay probability by assigning input values (schedule delay factors) from 0 (probability is very low: VL) to 100 (probabilityis very high: VH). 2. To estimate the probability of schedule delay of the project. Company has formed commission, whose members were composed of five (5) experienced civil engineers including site managers, site engineers, technical office engineers, technical consultants. It was assumed that: 1. The commission members had significant information about schedule delay factors in construction projects. 2. The commission members allocated necessary time to perform the required tasks. 3. The commissionmembers wereexpertsofconstruction projects. Based on their professional judgment, the commission members checked and filled in the form including eighty three well organized schedule delay factors. The consultant, contractor, design, equipment, external, labour, materials, owner and project related delay factor groups were considered. The filled the questionnaire form is as shown in the table 6.2. Table 2 Questionnaire filled by commission members Factors Causes Values Labour Related Factors a) Labour strike 21.25 b) Conflicts among labour 1125 c) Inexperienced labour 18.75 d) Absent labors 32.5 e) Labour shortage 37.5 f) Less motivation for labour 18.75 g) Poorcommunicationbetween workers and supervisor 10 Project Related Factors a) Short original contractduration 20 b) Delay penalties 5.75 c) Project complexity 28.75 d) Disputes among projectparties 33.75 Consult ant a) Inexperienced consultants 175 b) Inspecting and testing delays 28.75 c) Conflicts betweenconsultants and design engineer 33.75
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 4220 related factors d) Poor communication and coordination with other parties 25 e) Delay in approval of design documents 31.25 Contrac tor related factors a) Poor site management and supervision 27.5 b) Poor planningandscheduling of project 31.66 7 c) Frequent change of subcontractors 5 d) Poor communication and coordination with other parties 17.5 e) Rework due to errors 27.5 f) Inexperienced contractors 23.75 g) Unreliable Subcontractors 20 External Related factors a) Inclementweatherconditions 47.5 b) Variation in price 26.66 c) Global financial crisis 20 d) Changes in government regulations and laws 47.5 e) Unexpected surface and subsurface conditions 32.5 f) Delays in providing services from utilities 18.75 g) Delay in transportation 12.5 h) Accidents during construction 22 i) Natural disaster 55 Since fuzzymodelcalculationsweresomuchtimeconsuming, Fuzzy Logic Toolbox of the MATLAB Program Software was utilized to save time. The interface of fuzzy toolbox of MATLAB is shown in figure 1. Fig.1 Graphical user interface tools in the fuzzy logic toolbox Delay probability outputsofthiscasestudywereobtained using Fuzzy Logic Toolbox of the MATLAB Software and are shown in the Table 3. Table 3 Probability outputs of the case study Group of factor Probability output Labour Related Factors 21.42 Project Related Factor 22.68 Consultant Related Factor 29 Contractor Related Factor 21.975 External Related Factor 34.67 Owner Related Factor 12.17 Material Related Factor 13.30 Design Related Factor 32.96 Equipment Related Factor 41.245 SCHEDULED DELAY 32.9 CONCLUSIONS In construction projects the management of time is highly important. Therefore, predicting the likelihood of schedule delay play a key role towards a project’s success. This research aimed to propose a decision support tool for contractors to quantify the probability of schedule delay before the bidding stage. For this purpose, fuzzy logic from fuzzy logic toolbox of Matlab software is used. The main objective was to address the most contributing factors and groups to cause schedule delays (i.e., to discuss the probability of the factors and groups that need attention).This objective was achievedthroughdiscussion of the case study results. The highest probability outputforthe groups was found as “Equipment related delay factors” by 41.24 showing a range of medium causable probability level for the case study project. For each groups, the most and least contributing factors to cause schedule delay were presented. Future studies can be designed by utilizing different model parameters such as: different number and group of schedule delay factors, linguistic variables and membership functions, fuzzy rules, weights of rules, aggregation and de-fuzzification methods. This thesis opens up a realm of possibilities where future researchers can produce more powerful, user friendly softwares that can analyze all the possible schedule delay factors, producing fast and reliable results. REFERENCES [1] Braimah, N., (2015), Construction Delay Analysis Techniques- E Review of Application Issues and Improvement Needs, Buildings, Vol. 3, Issue 3.
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 4221 [2] V, Meena., and Babu, K. S., (2015) Study on TimeDelay Analysis for Construction Project Delay Analysis, International Journal of Engineering Research and Technology, Vol. 4, Issue 3. [3] Singh,S.,andTrivedi,M.K.,(2012),ApplicationofFuzzy Logic in Delay Analysis in Construction, International Journal of Computational Engineering Research, Vol. 2, Issue 2. [4] Perera N. A., Sutrisna, M., and Yiu, T. W., (2016), Decision-Making Model for Selecting the Optimum Method of Delay Analysis in Construction Projects, Journal of Management in Engineering, Vol. 32, Issue 5. [5] Bijwar, R. M., and More, A. B., (2017),DelayAnalysisin Construction of Redevelopment, International Research Journal of Engineering and Technology, Vol. 4, Issue 7. [6] Tokdemir, O. B., Erol, H., and Dikmen, I., (2019), Delay Risk Assessment of Repetitive Construction Projects Using Line-of-Balance Scheduling and Monte Carlo Simulation, Journal of Construction Engineering and Management, Vol. 145, Issue 2. [7] Ndekugri, I., Braimah, N., and Gameson, R., (2008), Delay Analysis within Construction Organizations, Journal of Construction Engineering and Management, Vol. 134, Issue 9.