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Tiêu đề Studying the application of a multiple-criteria decision-making method in construction management based on Visual Basic programming language
Tác giả Pham Anh Duc, Truong Ngoc Son, Vo Van Thuan, Ho Thi Ngoc Nhung, Doan Thi Thu Oanh
Trường học University of Science and Technology - The University of Danang
Chuyên ngành Construction management
Thể loại Journal article
Năm xuất bản 2017
Thành phố Da Nang
Định dạng
Số trang 7
Dung lượng 766,68 KB

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Nội dung

This study presents a supporting tool for the decision-making process based on the Analytic Hierarchy Process (AHP) in construction management. This tool is built in Visual Basic for Applications (VBA) language and run in Microsoft Excel spreadsheet software.

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ISSN 1859-1531 - THE UNIVERSITY OF DANANG, JOURNAL OF SCIENCE AND TECHNOLOGY, NO 6(115).2017 55

STUDYING THE APPLICATION OF A MULTIPLE-CRITERIA DECISION-MAKING METHOD IN CONSTRUCTION MANAGEMENT BASED ON VISUAL

BASIC PROGRAMMING LANGUAGE Pham Anh Duc, Truong Ngoc Son, Vo Van Thuan, Ho Thi Ngoc Nhung, Doan Thi Thu Oanh

University of Science and Technology - The University of Danang;

paduc@dut.udn.vn; tnson@dut.udn.vn; vanthuan0609@gmail.com

Abstract - Making decision under multiple criteria is a fertile

research area with lots of scope for real-life applications However,

the decision-making process is limited on subjective assessments

and it has not been balanced between costs and benefits This

study presents a supporting tool for the decision-making process

based on the Analytic Hierarchy Process (AHP) in construction

management This tool is built in Visual Basic for Applications

(VBA) language and run in Microsoft Excel spreadsheet software

It will provide a convenient, reliable and faster way for the user to

make a decision and get the final result of the decision by showing

the best alternative based on the most important criteria This tool

is time-saving and reduces errors in decision-making process in

many fields, especially in construction management

Key words - decision-making; multiple-criteria; AHP; construction

management; VBA

1 Introduction

Decision-making is an important part of most human

activities, whether we are performing daily activities,

professional or political work Some decisions may be

relatively simple, especially if the consequences of a bad

decision are small, while others can be very complex and

have significant effects Real-life decision problems will,

in general, involve several conflicting points of view

(criteria) that should be taken into account conjointly, in

order to achieve a reasonable solution [1]

In the construction management field, making decisions

based on multiple criteria is an integral part including

selections of contractors, suppliers, consultants, and so forth

The decision-making process may cause conflicts among

criteria For example, making decision based only on the

lowest cost or the largest profit may lead to an unrealistic

decision due to lack of quantitative factors [2] Therefore, a

decision making process needs comprehensive

consideration for multiple criteria to improve the accuracy

and figure out optimal choices To tackle this issue, in recent

years, various researchers have applied the theories

ofmultiple-criteriaapproach to assess the comprehensive

impacts of the factors on the decision-making process The

Analytic Hierarchy Process (AHP) is one of the methods

supporting the decision-making process that is utilized in

various fields such as science, economics, healthcare,

education, and especially in the construction industry

The accuracy in making decisions is increasingly

required and technologies have been developing towards

the trend of automation Therefore, the researchers have

decided to develop a tool supporting multiple-criteria

decision-making activities This tool adopted the Visual

Basic for Applications (VBA) programming language

which was integrated in Excel spreadsheet software VBA

is a programming language which is developed for office

applications and VBA has been supporting Excel software with high customization capability beyond ordinary spreadsheet limits as well as the capability of solving complex problems and higher automation This tool can help users make decisions quickly and relevantly based on logical calculations Besides, this study provides readers with comprehensive understanding of the AHP method and its applications in the aspects of life

2 Theoretical background

Analytical Hierarchical Process (AHP) is one of the multi -criteria decision making tools that have been used widely in assisting people and organization in their decision making process The AHP was developed by Saaty (1980)

to deal with multiple-criteria problems [3] It is designed to solve complex multi-criteria decision problems AHP requires the decision maker to provide judgements about the relative importance of each criterion and then to specify a preference for each decision alternative using each criterion AHP allows better, easier and more efficient identification

of selection criteria, their weighting and analysis AHP allows a logical mixture of data, which could be quantitative, qualitative, experience, insight, and intuition in its algorithmic framework It enables decision makers to find the weight of each criterion [4] Subsequently, Saaty and Vargas (1994) introduced the applications of AHP to solve economic, political, and social problems as well as those related to technical designs [5]

AHP’s applications for selecting suppliers:

Al-Harbi (2001) introduced the application of AHP as

a potential method for selecting the optimal contractor in project management [6] He constructed a hierarchical structure for the prequalified criteria and the contractors wishing to take part in the prequalifying stage Besides, Tam and Tummala (2001) applied the AHP for selecting telecom system providers [7], which was a complex and multiple-criteria process

AHP’s applications for selecting construction site:

Korpela and Tuominen (1996) presented an integrated approach in selecting warehouse’s location, in which both quantitative and qualitative factors are considered [8] Besides, Badri (1999) utilized the AHP for site selection [9] He confirmed that the AHP could help the staff in making plan for building strategies

AHP’s applicationsin forecasting:

Korpela and Tuominen (1997) used the AHP to forecast the inventory demand [10] Some of the AHP’s applications in different fields are shown in Table 1

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56 Pham Anh Duc, Truong Ngoc Son, Vo Van Thuan, Ho Thi Ngoc Nhung, Doan Thi Thu Oanh Recently, the AHP method has been studied in Viet

Nam Dang The Ba and Pham Thi Minh Hanh (2013)

applied decision support system in water resource

management for the Dakmi 4 dam [11]

Table 1 Applications of AHP in making decisions

lier Dweiri, F., et al.,,

(2016) [1]

Supplier selection in automobile industry

h G Büyüközkan,

and G Çifçi,

(2012) [12]

A combined fuzzy AHP and fuzzy TOPSIS based strategic analysis of electronic service

quality in healthcare industry

n J.-F Chen, H.-N

Hsieh, and Q H

Do (2015) [13]

Evaluating teaching performance based on fuzzy AHP

The works mentioned previously show that AHP is a

very useful and beneficial method as an aiding tool in

decision making process However, there are very few tools

where AHP process is supported automatically This study

builds a tool based on multiple-criteria decision-making

method with fast calculating process and easily applied in

order to tackle issues in management, learning, and research,

compared to previous studies This study also uses the

proposed tool for selecting appropriate type of bridge in

construction management Thereby, the high applicability of

the proposed tool in the construction industry is obvious

3 The proposed method

3.1 Multiple-criteria decision analysis

Multiple-criteria decision making (MCDM) is a sub-field

of operations research or management science and has

attracted an increasing attention of researchers for decades A

considerable amount of literature has been published on

various MCDM methods and their applications [14] The

general objective of MCDM is to assist the decision-maker

(DM) in selecting the 'best' alternative from the number of

feasible choice-alternatives under the presence of multiple

choice criteria and diverse criterion priorities MCDM

method manages the complexity of criteria by converting

from the qualitative assessment into scoring In recent years,

researchers have improved and developed the MCDM

method into various methods which was divided into 4

families [15]: the Multi-attribute utility theory– MAUT,the

Multi-criteria decision analysis methods– ELECTRE, the

Preference Ranking Organization Method for Enrichment of

Evaluations - PROMETHEE, and the AHP The advance of

the AHP method is not only capable of controlling the

consistency of the judgments from experts but also the

evaluation process of this method is conducted independently

from any arising issues and experts, ensuring the objectivity

of assessment The AHP method has proven its efficiency

through the successful application in many fields

3.2 AHP method

AHP is a method of multi-criteria decision developed

by Saaty (1980) [3]

The AHP is based on three principles:

a Analyzing data: First, AHP analyzes a

multiple-criteria problem based ona hierarchical structure The hierarchical structure diagrams start with the target analyzed through the major criteria and the componential criteria, and the final rank usually includes relevant options

b Comparing elements in the corresponding level:

Based on their own knowledge and experience, the interviewees will express their opinions on each pair of elements by answering questions To assess the level of importance or superiority of this element compared to the other elements, the scale (Table 2) is made with the values from 1 to 9 (pair-wise comparisons)

Table 2 Pair-wise comparison scale for AHP preferences [3]

rating

1 Equally preferred 1

2 Moderately preferred 3

3 Strongly preferred 5

4 Very strongly preferred 7

5 Extremely preferred 9

6 The average values 2,4,6,8

The final result is a set of pair-wise comparison

matrices (size n x n) for each of the lower levels with one

matrix for each element in the level immediately above (Table 3) If the element A is more important than element

B and rated at 9, B will be rated as less important than A

with a value of 1/9

Table 3 The judgment matrix

c Synthesis of priorities: The method aggregate the

pair-wise comparison data to have common values of priority Saaty used the method of least squares to obtain weights from the pair-wise comparison Summation method is used

to solve the maximum eigenvalue of the matrix:

- Calculating the total of each column in the matrix ∑aij (Table 4)

- Synthesizing the pair-wise comparison matrix is performed by dividing each element of the matrix by its column total Wij= aij/∑aij, The priority vector can be obtained by finding the row averages (Table 5)

Table 4 Comparison matrix of factors

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ISSN 1859-1531 - THE UNIVERSITY OF DANANG, JOURNAL OF SCIENCE AND TECHNOLOGY, NO 6(115).2017 57

Table 5 Matrix of consistent index(w)

- Checking the consistency: Saaty (1990) used a

consistency ratio CR [16] to check the consistency of the

priority elements, if consistency ratio CR0.1 then the

assessment is fairly consistent, on the contrary, the

assessment is inaccurate

Consistency index (CI) is determined as follows:

Weighted sum matrix = Pairwise comparison matrix x

Priority vector (1)

1

2

X

X

Xn

  =

1 2

a a

an

 x

w1

w 2

wn

Consistency vector = Weighted sum matrix/ Priority

vector (2)

1

2

Y

Y

Yn

  =

1 2

X X Xn

  /

w1

w 2

wn

The method then computes the average of these values

to obtain

ƛmax (3)

Consistency index CI = (ƛmax - n)/(n - 1) (4)

Consistency ratio: CR = CI/RI (5)

RI (Average random consistency) is a function of the

level of the matrix (N), shown in Table 6

Table 6 Average random consistency RI [3]

0

0.0

6

0.9

0

1.1

2

1.2

4

1.3

2

1.4

5

1.4

9

1.5

1

3.3 Decision-making tool

This study uses the VBA programming language

integrated in Excel to build the supporting tool based on

the AHP method The tool is an application that can run

directly on Microsoft Windows versions with simple

module and usage Users run spreadsheet file AHP.xlsx to

start the tool with the main module presented in Figure 1

Users enter alternatives and the related criteria on

"Import Module" in Figure 2

After entering the data, the tool will calculate

automatically and offer the optimal selection in form of

diagrams (Figure 3)

Figure 1 AHP application module

Figure 2 Importmodule 3.4 Case study: Type of bridge selection

In this case study, the topic of a bridge construction project in Quang Nam province is selected The site location already consists of two existing bridges over the river, but due to increased vehicle population and traffic load resulting in frequent traffic congestions the need for another bridge was necessary Proposed bridge should solve the problem of traffic congestion in the area along with the elegant aesthetical appearance

First step of the proposed methodology is to identify important criteria affecting the choice of superstructure and develop best possible alternatives for the project For the identification of criteria Delphi technique is used Eleven top

rated criteria were selected which included Cost (C.), Traffic data (T.D), Hydraulic data (H.D), Environmental impact (E.I), Site selection (S.S) For the development of

alternatives for type of bridge, extensive study of decision problem is required Local authority had done the study through various consultancies and considered three alternatives regarding type of bridge For the study the same alternatives are taken under consideration The six

alternatives are considered namely Segmental bridge (S.B.), Cantilever bridge(C.B.), Cable Stayed Bridge (C.S.), Extradosed bridge (E.B.), Box girder bridge (B.G.), and Arch Bridge (A.B.) for the study

The criteria for evaluating type of bridge are structured

in hierarchy as shown in Figure 4 Based on their own

knowledge and experiences, the experts evaluated the

types Table 7 and Table 8 show the opinions of the

assessments for six types of brigdes for Cost

Each element in the Weighted sum matrix in Table 8 is

calculated in three steps: Calculate the sum of each column

in the pair wise comparison matrix (Table 7),the priority

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58 Pham Anh Duc, Truong Ngoc Son, Vo Van Thuan, Ho Thi Ngoc Nhung, Doan Thi Thu Oanh can be obtained by calculating the ratio of the components

and standardizing values for priority vector

Type of bridge selection

Level 1:

Goal

data Hydraulic data Envirom-enmental impact

Level 2:

Criteria

Level 3:

Types of bridge

S.B.

C.B.

C.S.

E.B.

B.G.

A.B.

Site selection

S.B.

C.B.

C.S.

E.B.

B.G.

A.B.

S.B.

C.B.

C.S.

E.B.

B.G.

A.B.

S.B.

C.B.

C.S.

E.B.

B.G.

A.B.

S.B.

C.B.

C.S.

E.B.

B.G.

A.B.

Figure 4 The structure type of bridge criteria

Figure 3 OutputModule Table 7 Pair-wise comparison matrix for Cost

vector

Table 8 Weighted sum matrix for Cost

B.G 0.305 0.182 0.154 0.121 0.146 0.100

A.B 0.051 0.091 0.077 0.121 0.146 0.100

Priorityvalue of A for experienceis as follows:

∑a11 = 1 + 1/3 + 1 + 4 + 3 + 1/2 = 9.83

W11 = 1

9.83

= 0,102

w1 = 0.102 0.273 0.154 0.091 0.0

6

49 0.2

Calculating similarly for the remaining elements, we

obtain weighted sum vector for Experience

We calculate the consistency ratio, CR, as follows:

- Weighted sum matrix = Pairwise comparison matrix

x Priority vector

0.145

1

1 / 3 1 4 3

1 / 2

 

 

 

 

 

 

 

 

 

+ 0.096

3 1 1 3 2 1

 

 

 

 

 

 

 

 

 

+ 0.146

1 1 1 2 1

1 / 2

 

 

 

 

 

 

 

 

 

+ 0.349

1/ 4 1/ 3 1/ 2 1 1/ 3 1/ 3

+

0.168

1/ 3 1/ 2 1 3 1 1

+ 0.098

2 1 2 3 1 1

 

 

 

 

 

 

 

 

 

=

0.916 0.587 0.924 2.303 1.153 0.623

- Consistency vector = Weighted sum matrix/ Priority vector

0.916 0.145

= 6.317; 0.587

0.096

= 6.115; 0.924

0.146 = 6.329;

2.303 0.349

= 6.599; 1.153

0.168

=6.863; 0.623

0.098

=6.357

We compute the average of these values to obtain ƛmax

ƛmax = 6.317 6.155 6.329 6.599 6.863 6.357

6

=

6.437

- Consistency index:

CI = max

1

n n

 

 =

6.437 6

6 1

 = 0.0874 RI=1.24 with n=6

- Consistency ratio:

CR = CI RI

= 0, 00874

1, 24 = 0,07< 0,1 (satisfied)

λmax=6.437; CI=0.0874; CR=0.07 < 0,1 The remaining criteria are estimated for weight sum vector by the same as Cost: Traffic data (T.D), Hydraulic data (H.D), Environmental impact (E.I), Site selection

(S.S) (Table 9 – Table 16) Table 17 and Table 18 show

evaluation and priority between 5 criteria

Table 9 Pair-wise comparison matrix for Traffic data

Traffic

Priority vector

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ISSN 1859-1531 - THE UNIVERSITY OF DANANG, JOURNAL OF SCIENCE AND TECHNOLOGY, NO 6(115).2017 59

Table 10 Weighted sum matrix for Traffic data

Traffic

B.G 0.370 0.441 0.273 0.324 0.366 0.313

A.B 0.074 0.044 0.091 0.054 0.073 0.063

λmax=6.23; CI=0.05; CR=0.04 < 0,1

Table 11 Pair-wise comparison matrix for Hydraulic data

Hydraulic

Priority vector

Table 12 Weighted sum matrix for Hydraulic data

Hydraulic

B.G 0.377 0.340 0.154 0.288 0.205 0.233

A.B 0.019 0.019 0.051 0.019 0.029 0.033

λmax=6.38; CI=0.08; CR=0.06 < 0,1

Table 13 Pair-wise comparison matrix for Environmental impact

vector

Table 14 Weighted sum matrix for Environmental impact

B.G 0.083 0.034 0.066 0.115 0.065 0.034

A.B 0.083 0.034 0.049 0.154 0.130 0.068

λmax=6.43; CI=0.09; CR=0.07 < 0,1

Table 15 Pair-wise comparison matrix for Site selection

Site

Priority vector

Table 16 Weighted sum matrix for Site selection

Site

B.G 0.070 0.032 0.087 0.043 0.051 0.034

A.B 0.085 0.043 0.174 0.052 0.103 0.068

λmax=6.31; CI=0.06; CR=0.05 < 0,1

Table 17 Pair-wise comparison matrix for 5 criteria

vector

C 1 5 7 2 3 0.439

Table 18 Weighted sum matrix for 5 criteria

C 0.460 0.385 0.368 0.441 0.542

As the value of CR is less than 0.1, the judgments are Acceptable

According to values calculated above, we can obtain

the overall priority of contractors (Table 13)

- Overall priority of contractor S.B = 0.439(0.145) +

0.071(0.087) + 0.055(0.083) + 0,225(0.444) + 0,21(0.372)

= 0,252

- Overall priority of contractor C.B = 0.439(0.096) +

0.071(0.241) + 0.055(0.149) + 0.225(0.143) + 0.21(0.156)

= 0.132

- Overall priority of contractor C.S = 0.439(0.146) +

0.071(0.084) + 0.055(0.410) + 0.225(0.228) + 0.21(0.039)

= 0.152

- Overall priority of contractor E.B = 0.439(0.349) +

0.071(0.175) + 0.055(0.063) + 0.225(0.034) + 0.21(0.294)

= 0.238

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60 Pham Anh Duc, Truong Ngoc Son, Vo Van Thuan, Ho Thi Ngoc Nhung, Doan Thi Thu Oanh

- Overall priority of contractor B.G = 0.439(0.168) +

0.071(0.348) + 0.055(0.266) + 0.225(0.066) + 0.21(0.053)

= 0.139

- Overall priority of contractor A.B = 0.439(0.098) +

0.071(0.067) + 0.055(0.028) + 0.225(0.086) + 0.21(0.088)

= 0.087

Table 19 Priority matrix for prequalified types of bridges

data

Hydraulic

Site selection

Overall Priority vector

As the results of the evaluation by experts and with the

aid of decision-making tool, the analysis results are shown

in Table 19 According to the results of the ranking in Table

20, the types of bridge are now ranked based on their

overall priorities

Table 20 Ranking table

According to the results of the ranking table, the

Segmental bridgeis selected Accurately choosing the most

suitable bridge construction operation is vital for the

success of a bridge project The result demonstrates the

capability and effectiveness of the model that can assist

project contractors to better evaluate bridge construction

methods Notably, the use of the proposed model is not

restricted to the types and numbers of bridge construction

methods The model provides a structured and systematic

approach for effectively identifying the preferred bridge

construction technique It may be applied for different

areas of construction management and solving a large scale

decision-making problem

4 Conclusions and recommendation

Although the AHP method is not unfamiliar, its

application has not been popular in Vietnam This study has

figured out the method of decision-making support through

the AHP and proposed a tool written in VBA programming

language and run in Microsoft Excel spreadsheet software

This study has applied the AHP method combined with

decision support tool to solve a problem in construction

management: selecting the type of bridge

For construction projects with open tendering that

includes many types of bridge and various criteria, the study has found out the type of bridge with the highest weighting that met the requirements from the projects and investors This helps managers make an effective and quick decision of selecting types of bridge This tool could be applied in a wide variety of fields such as Forecasting Finance, Education, Technology, Risk Analysis, Sports, Transportation, Resource Allocation, and many other fields The study supports users in approaching the AHP method and making decisions quickly with the science-based combination of qualitative and quantitative factors

so that users can get best decisions

The implementation of AHP model in the case study has been discussed in the paper, illustrating a successful process conducted by the tool Based on testing, the result figured out by the tool was the same as the result from manual calculation The only difference is that manual calculation is time-consuming, compared to the fast processing speed of the tool Moreover, every user even those who do not have any idea about the AHP concept can use the tool because it processes the data automatically The manual method requires knowledge of formulas, concept as well as AHP-based approach, which not all users can handle In contrast, developing the tool enables users from any background to find accurate and effective solution in a short time

Due to time constraints, this proposed tool has not been totally completed, it just ensures the basic functions of an automated decision support tool Therefore, in the future, the tool needs to be improved about criteria-assessing method and needs an increase of more than two ranks so that it can meet more complex demands of decision-making as well as do surveys of opinions and feedback from experts more quickly and accurately

The tool can be developed in this proposed way: combined with other methods such as the fuzzy sets, TOPSIS combined with VIKOR and AHP can improve the capability of supporting decision-making The researchers are planning to create a web-based model assisting users in updating online criteria in many different fields as well as getting opinions and feedback from professionals immediately This will help the support process become faster The web-based tool and calculating tools developed

in the future will help users find out decisions in the most

accurately, objectively and fastest way

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(The Board of Editors received the paper on 21/03/2017, its review was completed on 26/06/2017)

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