137
Risk Evaluation Of Expressway PFI Construction Project Based On the Analytic Hierarchy
Process and Grey Clustering
HONG Wen-xia ,WEI Xiao-zhao,YANG Fan
(Qingdao University of Technology, Qingdao, Qingdao, Shandong 266520)
Email: [email protected]
Keywords: analytic hierarchy process; grey clustering algorithm; PFI financing model; highway
project
Abstract. This paper analyzes the advantages of PFI project and the feasibility of highway
construction project, analyzes the risk factors and the project stakeholders, and establishes the risk
factors involved in the construction project, and establishes a risk assessment system, and uses the
analytic hierarchy process to calculate the weight of the evaluation index, and then improve the
objectivity of the evaluation system. The main body of the financing is involved in the cluster analysis,
quantitative analysis, and through the gray clustering algorithm to evaluate the risk index value, and
finally quantitative analysis of PFI financing mode in the highway construction projects in the use of
integrated risk.
0 Introduction
The highway construction project is one of the main contents of the city public construction project,
the external security characteristics and earnings stability. With the development of urbanization, the
demand of highway projects is also increasing, the government can not be a shortage of funds,
long-term and effective financial management of highway project, commissioned by the local
government in general, but the high cost of construction the heavy burden of government. The PFI
(Private Finance Initiative, PFI) provides higher efficiency because it can lower costs, public service
products, which has aroused wide attention, in the era of economic globalization, governments around
the world in all kinds of public infrastructure projects to actively seek private capital, improve the use
of the efficiency of social liquidity, but also broaden the financing channels for the government (in
IETI Transactions on Computers, 2016, Volume 2, Issue 3, 137-144.
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An International Open Access Journal
138
Figure 1 Example 1
1 highway construction project under PFI mode
PFI (Private Finance Initiative) refers to the government to take measures to attract private sector
participation in public investment projects, the use of private sector of their own funds, technology,
operation, management of government for products and services, government and private joint
operation, to achieve the efficiency of public goods, resources optimization. To implement concrete
highway construction project the government, after the completion of the highway to return to attract
private capital, the private sector to complete the project management life cycle from development to
completion, after the expiration of the contract, by the government to recover the final products and
services. This mode of financing greatly ease the financial pressure of the government, but also to
139
Figure 2 Example 2
2 construction of risk assessment model
2.1 construction of evaluation index system
Mainly involved in highway construction projects from the role of government, item company (SPV),
contractors, suppliers, design units, supervision units, financial institutions and other major
stakeholders in the project. Whether to participate in the specific project stakeholders of the risk
depends on the highway construction projects. This paper mainly through the project stakeholders
since the project began to get involved in all the corresponding return time periods considering the
risk, to provide various services of project stakeholders, resources, capital, risk environment may be
involved to calculate the risk type of. PFI project financing process, a reasonable allocation of risk
factors related to the success of the whole project. In this paper, fully consider the risk of project
stakeholders sharing and control perspective, to ensure the reasonable operation of the project.
IETI Transactions on Computers, 2016, Volume 2, Issue 3, 137-144.
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2.2.1 analytic hierarchy process to calculate the weight of each risk assessment index
AHP method is subjective and objective combined evaluation and decision method. Its purpose is
the decision problem, decision-making process, decision-making level to carry on the analysis,
decision model is established, through the combination of qualitative evaluation and quantitative
calculation method, the theory of hierarchy has been quantified, and decision-making to solve the
problem of multi scheme.
2.2.2 determine the grey value of whitening weight function
Through calculating the different clustering clustering target different indicators have different
whitening value, then a gray value of statistical analysis. The comprehensive results clustering target
and the final results are inextricably linked. Because the research object is the evaluation of risk
factors of PFI under the mode of the highway construction project, the goal will be for clustering the
risks involved in the object is different, the risk assessment index system of the corresponding
clustering index is the risk of object. In this paper, the index of risk factors (i.e. clustering index)
represented by Uij, among them (i=1,2,3,4..m, j=... 1,2,3,4...N), L grey said it would risk factors is
divided into L grade level. Gray value represents a an interval number in the theory of gray clustering,
dynamic clustering evaluation is a partition. Albino interval values are determined by expert scoring
method, due to the association between the corresponding gray value is not the same, so whitening
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Figure 3 Example 3
2.2.3 cluster analysis and evaluation
takeijRepresents a clustering evaluation of the I expert on the first j grey class, available:
k
k j k j
i f (xij)w
5
1
1
2.2.4 establishes the cluster model and carries on the grey clustering analysis
set upiA clustering model is set up to represent the I expert.:i(i1,i2,...i5)
The grey value of clustering index is determined according to the maximum degree of membership.:
k
i K k
i MAX
5 1 *
2
I It belongs to the category of grey indexK*。
IETI Transactions on Computers, 2016, Volume 2, Issue 3, 137-144.
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142 3.1 examples illustrate
According to the design of the PFI financing pattern of a certain expressway project in Baoji,
Shaanxi Province, the grey value judgment matrix is determined by the expert scoring method.
Therefore, it can be calculated that the relative weights of various indicators are as follows:
WU1=(0.6283,0.1492,0.2370)T
WU2=(0.4032,0.5171,0.2134)T
WU3=(0.5476,0.4175,0.1267)T
WU4=(0.5212,0,1234,0.2879)T
WU5=(0.2133,0.4132,0.0000)T
WU6=(0.5000,0.5000,0.0000)T
WU7=(0.6522,0.2100,0.2100)T
3.2 grey cluster index
4 experts were asked to rate the grey clustering index, and the results were analyzed by cluster
analysis, the results showed as follows.
Table 1 risk factors of grey index
Clustering index Expert
Expert1 Expert2 Expert3 Expert4
U11 2 1 1 2
U12 1 2 1 1
U13 3 4 4 3
U21 3 3 4 2
U22 2 3 3 2
U31 3 2 2 3
U32 4 3 2 3
U33 2 1 2 2
U41 1 2 1 2
U42 2 1 2 3
U51 3 1 3 1
143
U53 1 1 2 1
U61 2 2 1 3
U62 3 4 3 4
U71 2 2 3 2
U72 3 1 2 1
U73 2 3 3 2
4 conclusions
Through the example analysis can know, analytic hierarchy process and grey whitening weight
function can fully assess the PFI project, project managers take full account of PFI risk factors provide
the necessary theoretical basis, also accumulated sufficient experience for the future of the PFI project
risk management.
References
[1] Liu Hong. The application of PFI in the financing of infrastructure construction in small cities and
towns [D]. Xihua University, 2011
[2] Jin Yucheng, Li Ming. Application of PFI financing model in small town water industry project
[J]. southwest water supply and drainage, 2009,02:44-48.
[3] Ma Lin. PFI model risk management research [D]. Southeast University, 2006
[4] Du Wenyuan. PFI project decision making and bidding evaluation method research [D]. Tianjin
University of Technology, 2006
[5] Li Zhengwei. Study on PFI model of pension real estate [D]. Chongqing University, 2013.
[6] fee. Enterprise infrastructure financing of Chinese small towns of [D]., Northwest Agriculture and
Forestry University, 2004
[7] Chen Long, Liu Zheng. Application of PFI model in the development of small cities and towns [J].
Heilongjiang Social Sciences, 2013,05:44-47+2.
Author introduction:
Wei Xiaozhao (1991-), male, graduate student. Research direction: Civil Engineering and
IETI Transactions on Computers, 2016, Volume 2, Issue 3, 137-144.
http://www.ieti.net/tc
An International Open Access Journal
144
Hong Wenxia (1964-), female, master's degree. Title: Qingdao Technological University, Professor,
master's tutor. Research direction: Civil Engineering and engineering cost management. Work unit:
Qingdao Technological University.
Contributor contact: Wei Xiaozhao Tel: 18766215697
Contributor mailbox: [email protected]
Mailing address: Qingdao Economic Development Zone No. 2 Changjiang River (old campus of