Journal of Computers - Academy Publisher

JOURNAL OF COMPUTERS, VOL. 6, NO. 9, SEPTEMBER 2011 1913
A Model to Select System Core and Its
Application
Chongming LI
College of Management, Huazhong Normal University, Wuhan, 430079, China.
Email: lichongming@eyou.com.
Yue DING
College of Management, Huazhong Normal University, Wuhan, 430079, China.
Email: dingyue_2003@163.com.
Abstract—The theory of system core is given a method to
determine key elements of the system based on graph
theory, but it is difficult to apply in practice for the question
of how to change a system to a graph and multi-core in a
system. This paper gives a method to change a system to a
graph based on correlation analysis, and gives a modle to
select system core based on cluster analysis. More, in the
case of the real estate system of Wuhan, a diffusion index
curve is given based on the elements of system core selected
by the model, the result illustrates that Wuhan real estate
arises in 1991 and to its peak in 1993, and then declines to
the bottom in 1996; next, it fluctuates in a small range and
becomes smooth since 1999, but a slight upward trend
during 2000, this conclusion is consistent with the actual
development status of the real estate in Wuhan and prove
the validity of the model.
Index Terms—System Core; Cluster Analysis; Correlative
Analysis; Real Estate System; Wuhan
I. INTRODUCTION
When making research on system problem, it usually
draws support from some indexes to analyze the whole
system, that is to say, to establish an index system
describing the system. But for many systems, especially
those complex systems, they involve a lot of elements
which have extremely complex relations within
themselves. In order to study the system, it has to analyze
the elements and relations of the system, for the structure
and function of system determined by them. Under a
complete system information situation, it can choose
those indexes which related to the system as many as
possible, but along with indexes increase, the redundant
information which has nothing to do with the system also
will increase. Besides, redundant information will
submerge which we needed; meanwhile it will increase
the analysis and computation difficulties. Because the
elements of system play different roles in the system (XU
Jin, WANG Yingluo, 1993), some are very important and
some are unimportance.There are a large number of
objective facts in nature and human society show that any
system have some key elements, key elements of system
play a dominant role to the system, so it hopes to discover
the essential elements which have the key role through
© 2011 ACADEMY PUBLISHER
doi:10.4304/jcp.6.9.1913-1919
some methods, and then uses these key elements to study
the system. The theory of system core using the
knowledge of graph theory to present a method that can
determine the essential elements of system, which is also
called the core of the system (XU Jin,1993), by the theory
it can discover the essence, the main body and the key
elements of the system.
The theory was applied in complex system (WANG
Jingguang, 2001), fault diagnosis (CAI Bing, ZHOU
Liuding, 1994) and reliability of communication (CAO
Qiguo, SUN Yugeng, 1997).But it's few used in
social-economic systems, for the relations of elements in
social-economic systems is too complex to explain by
vertex cut sets and components, it's hard to be turned a
social-economic system into a graph. Another problem is
the lack of uniqueness to the system core, there is no
explain to how a system core important than another in
system core theory, many research describe the destroy of
connected graph by vertex cut sets and components based
on toughness of a graph (Chvata1 ,1973), then denote the
importance of vertexes through the damage of the
connected graph, just as relative rupture of
graph(OUYANG Kezhi, OUYANG Keyi,1993) and the
relation between degree of rupture and rupture
number(ZHANG Shenggui, WANG Ziguo,1995), which
give academic base to settle the question of multi-core.
This paper gives a method to turn a system into a graph
and formulates a model to select system core within the
cluster analysis and grey correlative analysis, then the
model was used in the real estate system of Wuhan, the
conclusion according with the actual development status
of the real estate of Wuhan, thereby demonstrating the
validity of the model.
II. SYSTEM CORE AND ITS MULTIPLE VALUED
The system core theory given a method to study
complex systems, it is describe the system center through
the system core by qualitative and quantitative method. It
is regard system as graph in system core theory and the
system core is composed of vertex cut set which is
important or has dominant role to the system function, it