CN109886556A - A kind of autonomous system importance evaluation method based on structure and function feature - Google Patents
A kind of autonomous system importance evaluation method based on structure and function feature Download PDFInfo
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Abstract
The invention discloses a kind of autonomous system importance evaluation methods based on structure and function feature.Router network structure feature is introduced into autonomous system structural consequences evaluation index by this method, keeps the structural consequences evaluation index of autonomous system more perfect；Autonomous system IP address scale is combined with customers' scale, perfect autonomous system functional importance evaluation index；Autonomous system structure feature and functional character are combined, the importance of autonomous system is more fully measured.
Description
Technical field
The present invention relates to autonomous system Assessment of Important technical fields, and in particular to a kind of based on structure and function feature
Autonomous system importance evaluation method.
Background technique
Autonomous system is the one group of network managed by one or more network operators in the case where defining good routing policy.
Extensive internet is the complication system being made of thousands of a autonomous systems, these autonomous systems have unique number
Word mark, is connected with each other, to realize " whole world " internet communication by different forms.These autonomous systems either internet
The consumer of access or the provider of linking Internet, Internet access service are exactly to pass through between these autonomous systems
Business connection relationship provide and consume.In general, the commercial relations between autonomous system can be divided into client to mentioning
It (is seen the other way around as provider to client (provider-to- for quotient (customer-to-provider, c2p)
Customer, p2c)), reciprocity (peer-to-peer, p2p) and peer to peer (sibling-to-sibling, s2s) three
Class, but actually c2p and two class connection relationship of p2p occupy the overwhelming majority of connection relationship in live network.Such a
In complication system, the importance for how evaluating autonomous system is extremely important.
Current existing autonomous system importance evaluation method mainly has the following two kinds: 1) based on autonomic system network structure
Node importance evaluation method, such as degree, eigenvector centrality, betweenness center, k- nuclear decomposition；2) it is based on autonomous system
Functional character evaluate the importance of autonomous system node, such as the customers of autonomous system.But autonomous system is by many roads
It is made of device, the evaluation method for being based only upon autonomic system network architectural characteristic or functional characteristic at present is excessively single, Bu Nengti
The importance of existing autonomous system.
Summary of the invention
In order to overcome existing autonomous system importance evaluation method excessively single, lacking for autonomous system importance cannot be embodied
It falls into, the present invention provides a kind of autonomous system importance evaluation methods based on structure and function feature.
The technical solution adopted by the present invention to solve the technical problems is: a kind of autonomous system based on structure and function feature
System importance evaluation method, includes the following steps:
1) the structural consequences evaluation index based on autonomic system network structure feature is calculated；
2) the structural consequences evaluation index based on router network structure feature is calculated；
3) the functional importance evaluation index based on autonomous system customers scale is calculated；
4) the functional importance evaluation index based on autonomous system IP address scale is calculated；
5) the autonomous system Assessment of Important index based on structure and function feature is calculated.
In above-mentioned technical proposal, router network structure feature is introduced into autonomous system structural consequences evaluation index
In, keep the structural consequences evaluation index of autonomous system more perfect；By autonomous system IP address scale and customers' scale phase
In conjunction with perfect autonomous system functional importance evaluation index；Autonomous system structure feature and functional character are combined, more entirely
Measure to face the importance of autonomous system.
Further, the above-mentioned autonomous system importance evaluation method based on structure and function feature, includes the following steps:
A. the k- core value of autonomous system is calculated；
B. the ratio that critical router is shared in all critical routers in autonomous system is calculated；
C. customers' scale of autonomous system is calculated；
D. autonomous system IP address ratio shared in all IP address is calculated；
E. the autonomous system Assessment of Important index based on structure and function feature is calculated.
In order to measure the importance of autonomic system network and router network interior joint, present invention selection uses k- nuclear decomposition
Method calculates the k- core value of each network node to measure the importance of each network node.K- nuclear decomposition method and thought is simple, and counts
It is low to calculate complexity, and the importance of network node can be embodied well.Generally for a Undirected networks G, it is assumed that the degree of node
For d, the minimum degree of node is dmin, to network G, its process for carrying out k- nuclear decomposition is as follows:
(1) degree all in all nodes of network are not more than dminNode and its adjacent side all delete, these point and
The deletion on side may result in the degree of some other node no more than dmin, then be iteratively deleted, these deleted nodes
K- core value be 1；
(2) only remaining degree is more than or equal to d in network at this timemin+ 1 node, iteratively deletion degree is less than or equal to again at this time
dmin+ 1 node, the k- core value of these deleted nodes are 2, are looped back and forth like this, until not having node in network.
Node k- core value is bigger, illustrates the network node closer to network center, importance is higher.
Further, the autonomous system Assessment of Important index based on structure and function feature are as follows:
Wherein, α is specific gravity shared by structural consequences index, k in importance indexaFor the k- core value of autonomous system,For the maximum value of k- core value in all autonomous systems,It is critical router in autonomous system in all critical routers
In shared ratio, ncFor customers' scale of autonomous system,For the maximum of customers' scale in all autonomous systems
Value, piFor autonomous system IP address ratio shared in all IP address.Because of k- core value size and customers' scale
May not be an order of magnitude, will cause the inherent Preference of index, thus respectively divided byWithTo be normalized.
The invention proposes the autonomous system Assessment of Important indexs of integrated structure importance and functional importance, because only
It is still more unilateral that the importance of autonomous system is measured with network structure feature or function feature, so the present invention will be autonomous
System structure characteristic and functional character combine, and propose a kind of evaluation method that can more measure autonomous system importance comprehensively.
Further, the value range of specific gravity α shared by structural consequences index is 0≤α≤1 in the importance index.When
When α=0,What is indicated is the functional importance of autonomous system；As α=1,
What is indicated is the structural consequences of autonomous system.The specific value of α depends on specific application preferences in, and there is no unique
Property principle.
Further, critical router described in step b refers to: biggish preceding 20% road of k- core value in all-router
By device.
Further, according to the attaching relation of all-router and each autonomous system, weight in each autonomous system is calculated
The ratio for wanting router shared in all critical routers.
Critical router institute's accounting in all critical routers in critical router evaluation method and each autonomous system
The calculation method of example is as follows:
According to k- nuclear decomposition method, the k- core value k of router in router network is calculatedr, and all-router is pressed into k-
Core value krDescending arrangement, the selection maximum ratio of k- core value are prRouter, these routers are exactly most heavy in router network
The node wanted.P hereinrSelection p can be chosen for according to 80/20 law (i.e. Pareto Principle)r=20%.Because of autonomy system
There is attaching relation between system and router, each router must belong to some autonomous system, according to these routers and certainly
The attaching relation for controlling system obtains ratio shared by critical router in each autonomous system
Further, the customers of the autonomous system refer to: autonomous system itself and autonomous system pass through supply
All autonomous systems that quotient-client's connection relationship can be reached iteratively；Customers' scale refers to autonomous system in customers
Number.
Further, above-mentioned autonomous system importance evaluation method further includes autonomous system structural consequences calculation method:
The structural consequences index of autonomous system isWherein, kaFor the k- core value of autonomous system,For
Critical router ratio shared in all critical routers in autonomous system.
The present invention enriches the evaluation index of autonomous system structural consequences.Because autonomous system is by many router groups
At these routers play important function in terms of maintaining the Internet connectivity and robustness, if only with autonomous system
Structure feature measures the importance of autonomous system, then can ignore the structure feature of router in autonomous system, therefore the present invention
Router network structure feature is introduced into autonomous system structural consequences evaluation index.
Further, above-mentioned autonomous system importance evaluation method further includes autonomous system functional importance calculation method:
The functional importance index of autonomous system is nc(1+pi), wherein ncFor customers' scale of autonomous system, piFor
Autonomous system IP address ratio shared in all IP address.
The present invention enriches the evaluation index of autonomous system functional importance.Because the relationship between autonomous system is service
With the commercial relations such as serviced, each autonomous system has the customers of oneself, and autonomous system is that its customers is connected to interconnection
Net provides guaranteeing role, therefore the functional character of autonomous system has very important effect the connection of internet.But
Customers' scale difference of each autonomous system is huge, cannot embody its functional importance well, therefore the present invention is by client
Group's IP address scale is combined with customers' scale, for measuring the functional importance of autonomous system.
Preferably, above-mentioned autonomous system importance evaluation method includes the following steps:
S01. according to k- nuclear decomposition method, the k- core value k of each autonomous system in autonomic system network is calculateda；
S02. according to k- nuclear decomposition method, the k- core value k of router in router network is calculatedr, choose wherein k- core value kr
Biggish preceding 20% router is the critical router in router network, according to the ownership of all-router and autonomous system
Relationship calculates accounting of the critical router in all critical routers in each autonomous system
S03. the structural consequences index of autonomous system is calculated:
S04. the customers scale n of autonomous system is calculatedc；
S05. the IP address scale n of autonomous system customers is calculatedi, and then these IP address are calculated in all IP address
In accounting pi；
S06. the functional importance index for calculating autonomous system is nc(1+pi)；
S07. the autonomous system Assessment of Important index based on structure and function feature is calculated
Further, in above-mentioned autonomous system Assessment of Important index, the autonomous system based on structure and function is important
The numerical value of property evaluation index I is bigger, indicates that the autonomous system is more important.
By adopting the above technical scheme, the positive effect of the present invention is:
Router network structure feature is introduced into autonomous system Assessment of Important index, the structure weight of autonomous system is made
The property wanted evaluation index is more perfect；Autonomous system IP address scale is combined with customers' scale, perfect autonomous system function
It can Assessment of Important index；Autonomous system structure feature and functional character are combined, the weight of autonomous system is more fully measured
The property wanted.
Detailed description of the invention
Examples of the present invention will be described by way of reference to the accompanying drawings, in which:
Fig. 1 is that the present invention is based on the flow charts of the autonomous system importance evaluation method of structure and function feature.
Specific embodiment
It is special for autonomic system network design feature or function in existing autonomous system importance evaluation method, is only relied on
Point evaluation autonomous system importance, evaluation index is excessively single, cannot embody the defect of autonomous system importance, and the present invention provides
A kind of autonomous system importance evaluation method based on structure and function feature.This method draws router network structure feature
Enter into autonomous system structural consequences evaluation index, keeps the structural consequences evaluation index of autonomous system more perfect；It will be certainly
It controls system ip address scale to combine with customers' scale, perfect autonomous system functional importance evaluation index；It is by autonomy
System structure feature and functional character combine, and more fully measure the importance of autonomous system.
Basic embodiment:
Basic skills of the invention includes the following steps:
1) the structural consequences evaluation index based on autonomic system network structure feature is calculated；Illustratively, meter can be passed through
The k- core value of each autonomous system in autonomic system network is calculated to complete this step；
2) the structural consequences evaluation index based on router network structure feature is calculated；Illustratively, calculating can be passed through
Critical router ratio shared in all critical routers completes this step in autonomous system；
3) the functional importance evaluation index based on autonomous system customers scale is calculated；Illustratively, calculating can be passed through
Customers' scale of autonomous system completes this step；
4) the functional importance evaluation index based on autonomous system IP address scale is calculated；Illustratively, calculating can be passed through
Autonomous system IP address ratio shared in all IP address completes this step；
5) the autonomous system Assessment of Important index based on structure and function feature is calculated.
In above-mentioned technical proposal, router network structure feature is introduced into autonomous system structural consequences evaluation index
In, keep the structural consequences evaluation index of autonomous system more perfect；By autonomous system IP address scale and customers' scale phase
In conjunction with perfect autonomous system functional importance evaluation index；Autonomous system structure feature and functional character are combined, more entirely
Measure to face the importance of autonomous system.
This method enriches the evaluation index of autonomous system structural consequences.Because autonomous system is by many router groups
At these routers play important function in terms of maintaining the Internet connectivity and robustness, if only with autonomous system
Structure feature measures the importance of autonomous system, then can ignore the structure feature of router in autonomous system, therefore the present invention
Router network structure feature is introduced into autonomous system structural consequences evaluation index.
This method enriches the evaluation index of autonomous system functional importance.Because the relationship between autonomous system is service
With the commercial relations such as serviced, each autonomous system has the customers of oneself, and autonomous system is that its customers is connected to interconnection
Net provides guaranteeing role, therefore the functional character of autonomous system has very important effect the connection of internet.But
Customers' scale difference of each autonomous system is huge, cannot embody its functional importance well, therefore the present invention will be autonomous
System ip address scale is combined with customers' scale, for measuring the functional importance of autonomous system.
The invention proposes the autonomous system Assessment of Important indexs of integrated structure importance and functional importance, because only
It is still more unilateral that the importance of autonomous system is measured with network structure feature or function feature, so the present invention will be autonomous
System structure characteristic and functional character combine, and propose a kind of evaluation method that can more measure autonomous system importance comprehensively.
Embodiment
A kind of autonomous system importance evaluation method based on structure and function feature, includes the following steps:
Step 1 calculates the k- core value k of each autonomous system in autonomic system network according to k- nuclear decomposition methoda；
Step 2 calculates the k- core value k of router in router network according to k- nuclear decomposition methodr, choose wherein k- core
Value krBiggish preceding 20% router is the critical router in router network, according to all-router and autonomous system
Attaching relation calculates accounting of the critical router in all critical routers in each autonomous system
Step 3 calculates the structural consequences index of autonomous system:
Step 4 calculates the customers scale n of autonomous systemc；
Step 5 calculates the IP address scale n of autonomous systemi, and then these IP address are calculated in all IP address
Accounting pi；Because each autonomous system has the IP address section that oneself is used, can be calculated according to these IP address sections
The IP address scale n of each autonomous system outi, then divided by total IP address quantity p can be obtainedi；
Step 6, the functional importance index for calculating autonomous system is nc(1+pi)；
Step 7 calculates the autonomous system Assessment of Important index based on structure and function feature The numerical value of I is bigger, indicates that the autonomous system is more important.
α indicates specific gravity shared by structural consequences index in importance index, and the value range of α is 0≤α≤1.When α=0
When,What is indicated is the functional importance of autonomous system；As α=1,Table
What is shown is the structural consequences of autonomous system.The specific value of α depends on specific application preferences in, and uniqueness is not present
Principle.
Indicate the maximum value of k- core value in all autonomous systems,Indicate that customers advise in all autonomous systems
The maximum value of mould will cause the inherence of index because k- core value size and customers' scale may not be an order of magnitude
Preference, thus respectively divided byWithTo be normalized.
In order to measure the importance of autonomic system network and router network interior joint, present invention selection uses k- nuclear decomposition
Method calculates the k- core value of each network node to measure the importance of each network node.K- nuclear decomposition method and thought is simple, and counts
It is low to calculate complexity, and the importance of network node can be embodied well.Generally for a Undirected networks G, it is assumed that the degree of node
For d, the minimum degree of node is dmin, to network G, its process for carrying out k- nuclear decomposition is as follows:
(1) degree all in all nodes of network are not more than dminNode and its adjacent side all delete, these point and
The deletion on side may result in the degree of some other node no more than dmin, then be iteratively deleted, these deleted nodes
K- core value be 1；
(2) only remaining degree is more than or equal to d in network at this timemin+ 1 node, iteratively deletion degree is less than or equal to again at this time
dmin+ 1 node, the k- core value of these deleted nodes are 2, are looped back and forth like this, until not having node in network.
Node k- core value is bigger, illustrates the network node closer to network center, importance is higher.
Claims (10)
1. a kind of autonomous system importance evaluation method based on structure and function feature, which comprises the steps of:
1) the structural consequences evaluation index based on autonomic system network structure feature is calculated；
2) the structural consequences evaluation index based on router network structure feature is calculated；
3) the functional importance evaluation index based on autonomous system customers scale is calculated；
4) the functional importance evaluation index based on autonomous system IP address scale is calculated；
5) the autonomous system Assessment of Important index based on structure and function feature is calculated.
2. autonomous system importance evaluation method as described in claim 1, which comprises the steps of:
A. the k- core value of autonomous system is calculated；
B. the ratio that critical router is shared in all critical routers in autonomous system is calculated；
C. customers' scale of autonomous system is calculated；
D. autonomous system IP address ratio shared in all IP address is calculated；
E. the autonomous system Assessment of Important index based on structure and function feature is calculated.
3. autonomous system importance evaluation method as claimed in claim 2, which is characterized in that described special based on structure and function
The autonomous system Assessment of Important index of sign are as follows:
Wherein, α is specific gravity shared by structural consequences index, k in importance indexaFor the k- core value of autonomous system,For
The maximum value of k- core value in all autonomous systems,It is shared in all critical routers for critical router in autonomous system
Ratio, ncFor customers' scale of autonomous system,For the maximum value of customers' scale in all autonomous systems, piFor
Autonomous system IP address ratio shared in all IP address.
4. autonomous system importance evaluation method as claimed in claim 3, which is characterized in that structure in the importance index
The value range of specific gravity α shared by importance index is 0≤α≤1.
5. autonomous system importance evaluation method as claimed in claim 2, which is characterized in that important routing described in step b
Device refers to: biggish preceding 20% router of k- core value in all-router；According to all-router and each autonomous system
Attaching relation calculates the ratio that critical router is shared in all critical routers in each autonomous system.
6. autonomous system importance evaluation method as described in claim 1, which is characterized in that the customers of the autonomous system
Refer to: all autonomous systems that autonomous system itself and autonomous system can be reached iteratively by supplier-client's connection relationship
System；Customers' scale refers to the number of autonomous system in customers.
7. autonomous system importance evaluation method as claimed in claim 2, which is characterized in that further include autonomous system structure weight
The property wanted calculation method:
The structural consequences index of autonomous system isWherein, kaFor the k- core value of autonomous system,For autonomy
Critical router ratio shared in all critical routers in system.
8. autonomous system importance evaluation method as claimed in claim 2, which is characterized in that further include autonomous system function weight
The property wanted calculation method:
The functional importance index of autonomous system is nc(1+pi), wherein ncFor customers' scale of autonomous system, piFor autonomy system
IP address of uniting ratio shared in all IP address.
9. autonomous system importance evaluation method as described in any one of claims 1 to 8, which is characterized in that including walking as follows
It is rapid:
S01. according to k- nuclear decomposition method, the k- core value k of each autonomous system in autonomic system network is calculateda；
S02. according to k- nuclear decomposition method, the k- core value k of router in router network is calculatedr, choose wherein k- core value krIt is larger
Preceding 20% router be router network in critical router, according to the ownership of all-router and autonomous system close
System, calculates accounting of the critical router in all critical routers in each autonomous system
S03. the structural consequences index of autonomous system is calculated:
S04. the customers scale n of autonomous system is calculatedc；
S05. the IP address scale n of autonomous system customers is calculatedi, and then these IP address are calculated in all IP address
Accounting pi；
S06. the functional importance index for calculating autonomous system is nc(1+pi)；
S07. the autonomous system Assessment of Important index based on structure and function feature is calculated
10. autonomous system importance evaluation method as described in claim 1, which is characterized in that based on structure and function from
The numerical value for controlling system Assessment of Important index I is bigger, indicates that the autonomous system is more important.
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