CN106850437B - Complex network routing method based on gravitational field - Google Patents

Complex network routing method based on gravitational field Download PDF

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CN106850437B
CN106850437B CN201710042660.XA CN201710042660A CN106850437B CN 106850437 B CN106850437 B CN 106850437B CN 201710042660 A CN201710042660 A CN 201710042660A CN 106850437 B CN106850437 B CN 106850437B
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唐勇
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WUHE WEILI AGRICULTURAL TECHNOLOGY Co.,Ltd.
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L45/00Routing or path finding of packets in data switching networks
    • H04L45/12Shortest path evaluation
    • H04L45/126Shortest path evaluation minimising geographical or physical path length
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L45/00Routing or path finding of packets in data switching networks
    • H04L45/12Shortest path evaluation
    • H04L45/125Shortest path evaluation based on throughput or bandwidth
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L47/00Traffic control in data switching networks
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Abstract

The research of an efficient dynamic routing method is very important for improving the network throughput and relieving the traffic congestion degree. Therefore, from the perspective of a gravitation theory, the invention deeply analyzes the aggregation effect of the nodes on the traffic flow in the network traffic transmission process, considers the smoothness degree of the nodes and the neighbor nodes thereof and the length of a transmission path, establishes a gravitation model of the nodes on the traffic flow, and further provides a dynamic routing method of the gravitational field considering the node aggregation capability.

Description

Complex network routing method based on gravitational field
Technical Field
The invention relates to the field of communication, in particular to a complex network routing method based on a gravitational field.
Background
At present, the research on the structural and dynamic characteristics of real complex systems by using complex networks has become a hot spot and a key problem in various fields. Network traffic congestion, a common and complex dynamic phenomenon, widely exists in various real-world systems, and is represented by phase change of a traffic flow state on a network, namely, a free flow changes into a congestion phase. It has been found that for a given routing strategy, when the amount of traffic load generated per unit time is greater than a certain value, the network traffic flow state immediately falls into a congested state from free flow. Meanwhile, for any complex network, when the network structure and related function indexes are kept unchanged, the network has to have a maximum network throughput.
The generation of traffic congestion depends on the adopted network routing strategy, and for the routing algorithm with lower transmission performance, the network is easy to be congested and the congestion degree is very serious. Therefore, how to improve the throughput of the network and alleviate the traffic congestion degree of the network by exploring an efficient routing strategy is one of the key approaches to solving the traffic congestion problem. For this reason, researchers have conducted intensive research into routing strategies and have proposed many effective routing methods. Random walk is a well-known local routing method that reveals some basic dynamics. However, the routing method is difficult to reflect the traffic flow characteristics of a real complex system, and the routing performance is low.
Therefore, the invention researches the network transmission process by using the gravitational field theory, establishes a gravitational model of the nodes on the flow in the transmission process by considering the gathering capacity of the nodes and the neighboring nodes, and further provides a gravitational field dynamic routing method considering the gathering capacity of the nodes.
Disclosure of Invention
On the basis, the application provides a complex network routing method based on a gravitational field, and the method comprises the following steps:
1) at each time step, aiming at any node v, if the cache queue of the node v is not empty, a data packet is indicated to wait for transmission, so that all neighbor nodes of the node v are obtained;
2) for each neighbor node i of v, calculating the shortest path from the node i to a target node t of the node v and obtaining a node set P (i, t) on the path, and
Figure BDA0001215481820000012
3) calculating the attraction G of the shortest paths corresponding to all the neighbor nodes of the node v to the node vitAs set forth in the following formula:
Figure BDA0001215481820000011
where n denotes the number of nodes on the path, j 1,2jvThe gravity of the node j to the node v data packet on the path is represented by the following formula:
Figure BDA0001215481820000021
wherein, cjThe transmission capability of the node j is represented, namely the maximum number of data packets which can be sent in unit time; q. q.sjNumber of packets stored in buffer queue representing node j, thereby
Figure BDA0001215481820000022
The smoothness degree of the node j is reflected; djvRepresents the shortest distance between node j and node v; alpha and gamma are adjustable parameters; h isjRepresents the average degree of openness of the neighbor nodes of node j, which is for the u neighbor nodes of node jThe average degree of smoothness is:
Figure BDA0001215481820000023
4) obtaining a set L of paths in descending order according to the size of the path gravitation [ L ═ L-1 L2 ... Li]Wherein i is the number of neighbor nodes of the node v, and the path L with the largest path gravitation1The neighbor node of the middle corresponding node v is e;
5) if no data packet of other paths is ready to enter the node e at the same time, the node e is taken as the next routing node transmitted by the data packet of the node v;
6) if a data packet of another path node M is ready to enter the node e at the same time, calculating the weight coefficients M of the node v and the node M respectively, wherein the calculation formula is as follows:
Figure BDA0001215481820000024
k is an adjustable parameter, k is more than or equal to 0 and less than or equal to 1 and is used for balancing the weight between the length of the path and the waiting time; l is the shortest path length from the current node to the target node; q is the number of data packets stored in the current node; c. CeThe maximum number of data packets which can be sent in unit time of the node e is obtained; respectively obtaining the weight coefficients M of the node v and the node M through a calculation formula of the weight coefficient MvAnd Mm
7) Comparison MvAnd MmThe node with the large weight coefficient is used as a priority node to enter the path, and the node e is used as the next routing node for transmitting the priority node data packet;
8) the node with small weight coefficient returns to the step 4) to select the path L with the second largest gravity of the entering path2
Preferably, α and γ in the step 3) are constants of 1 or more.
Preferably, the value range of the coefficient k in the step 6) is 0-1.
Drawings
Fig. 1 is a process of a routing method according to the first embodiment.
Fig. 2 is a route performance curve of the algorithm of the present invention.
Detailed Description
The invention will now be further described with reference to the embodiments and the accompanying drawings. It should be noted that the description of the embodiments is provided to help understanding of the present invention, but the present invention is not limited thereto.
The first embodiment is as follows:
the aggregation capability of the nodes is a result of the joint action of the traffic states of the nodes and the traffic states of the neighbor nodes. Each node has a certain aggregate capacity that represents an attractive force to traffic flow on the network, whereby the node may excite an attractive field model to the traffic flow. Assuming that the node where the current data packet to be sent is located is v, the attraction of the node j to the data packet at the node v is defined as follows:
Figure BDA0001215481820000031
wherein, FjvRepresenting the attraction of node j to the packet at node v; c. CjThe transmission capability of the node j is represented, namely the maximum number of data packets which can be sent in unit time; q. q.sjNumber of packets stored in buffer queue representing node j, thereby
Figure BDA0001215481820000032
The smoothness degree of the node j is reflected; djvRepresents the shortest distance between node j and node v; alpha and gamma are adjustable parameters, and alpha and gamma are constants more than or equal to 1; h isjThe average degree of openness of the neighboring nodes of the node j is represented, and for the u neighboring nodes of the node j, the average degree of openness is:
Figure BDA0001215481820000033
formula (1) shows that the attraction of the node j to the data packet at the node v, the smoothness of the node and the neighbor nodesIs in direct proportion to the degree of openness of the node j and is in inverse proportion to the shortest distance between the nodes j and v, and expresses remarkable physical significance.
The transmission of data packets is not determined by the traffic state of a single node, and an efficient routing strategy must take into account the traffic state of more nodes. For any data packet, a reliable path is selected as much as possible to transmit in the transmission process, so the path is the research object of the routing strategy. For this purpose, let the node where the data packet is currently located be v, and denote the set of all nodes on the shortest path from the neighbor node i to the target node t by P (i, t) and
Figure BDA0001215481820000035
from this, the following gravity model of the path for packets in node v can be defined:
Figure BDA0001215481820000034
the above equation shows that the attraction of a path to a packet is the average of the attractions of all nodes on the path to the packet. Therefore, the present disclosure provides a dynamic routing policy of a gravitational field considering node aggregation capability, where a specific routing process is as follows:
1) at each time step, aiming at any node v, if the cache queue of the node v is not empty, a data packet is indicated to wait for transmission, so that all neighbor nodes of the node are obtained;
2) for each neighbor node i of v, calculating the shortest path from i to the target node t of the data packet and obtaining a node set P (i, t) of the path;
3) according to the formulas (1) and (2), the gravity G of the shortest path corresponding to all the neighbor nodes to the data packet is calculatedit
4) Obtaining a set L of paths in descending order according to the size of the path gravitation [ L ═ L-1 L2 ... Li]Wherein i is the number of neighbor nodes of the node v, and the path L with the largest path gravitation1The neighbor node of the middle corresponding node v is e; and by said path L1The neighbor node e of the correspondent node v being passed as the current data packetThe next routing node.
Example two:
the technical solution in the first embodiment is also not without defects, and as can be seen from formulas (1) - (2), the path L with the greatest attraction force in the entire nodal network must be a relatively "clear" and "unobstructed" path, and this path is equivalent to a "highway" in the entire nodal network. Therefore, according to the calculation results of the formulas (1) to (2), all nodes carrying data packets around the current node v will choose to transmit from the path L, so that the path L will become a highly congested path instantly, and other paths will be "blank" temporarily, resulting in waste of node paths. This means that the neighbor node e of the corresponding node v calculated in the first embodiment may become the next routing node of two, three or more nodes at the same time, which may instead become further congestion.
In order to solve the above-mentioned defects, if at the same time, a data packet of another path node M is ready to enter the node e, the node e needs to be "current-limited" to avoid congestion, a weight coefficient M is introduced, and the calculation formula is as follows:
Figure BDA0001215481820000041
k is an adjustable parameter, k is more than or equal to 0 and less than or equal to 1, and the k is used for balancing the weight between the length of a path and the time for waiting for the node e to process a data packet; l is the shortest path length from the current node to the target node; q is the number of data packets stored in the current node; c. CeThe maximum number of data packets that can be sent in unit time of the node e. The calculation formula shows that the weight coefficient M is larger, the node e belongs to the node which needs to be transmitted preferentially and carries the data packets with long distance or has larger data packet quantity, and the balance of the transmission distance and the data packet quantity is adjusted through the parameter k.
On the basis of the above, if a packet of another path node M is ready to enter the node e at the same time, the weight coefficients M of the node v and the node M are calculated respectivelyvAnd Mm
Comparison MvAnd MmThe node with the large weight coefficient is used as a priority node to enter the path, and the node e is used as the next routing node for transmitting the priority node data packet;
the node with small weight coefficient returns to the step 4) to select the path L with the second largest gravity of the entering path2
Network throughput is an important indicator for evaluating the performance of routing policies. For this purpose, an order state parameter is introduced here for measuring the network traffic phase change process, i.e. the network traffic state changes from free flow to congested phase, and the parameter is defined as follows:
Figure BDA0001215481820000051
wherein W (t) is the total number of data packets remaining in the network at time t; r is the number of newly added data packets in unit time, and R.t is the total number of data packets generated in the network by the time t. When R is less than or equal to RcThe value of the order parameter η is close to 0; however, when R > RcAt that time, the η value will suddenly become larger and gradually approach 1 as R increases, the network falls into congestion. Therefore, the network traffic state is shown in the condition that R is RcIs subjected to a phase transition, RcI.e. the throughput of the network.
To evaluate the effectiveness of the algorithm, a BA scale-free network model was used herein (network size N100 and m)04), the transmission capacity of the node is equal to 1, i.e. c is equal to 1, without loss of generality. Fig. 2 shows the routing performance obtained by performing simulation experiments on different values of α and γ. The result shows that the network traffic flow has phase change at the load R-16, thereby illustrating the maximum traffic bearing capacity R of the network under the control of the gravitational field routing strategy considering the node aggregation capacityc16. Meanwhile, no matter what the values of the adjustable parameters alpha and gamma are, the throughput and the congestion degree of the network are almost unchanged, which shows that the two parameters have no influence on the transmission performance of the routing algorithm. Therefore, the routing algorithm is stable and reliable.
As described above, the present invention can be preferably realized. Variations, modifications, substitutions, integrations and variations of these embodiments may be made without departing from the principle and spirit of the invention, and still fall within the scope of the invention.

Claims (1)

1. A gravity field-based complex network routing method is characterized by comprising the following steps:
1) at each time step, aiming at any node v, if the cache queue of the node v is not empty, a data packet is indicated to wait for transmission, so that all neighbor nodes of the node v are obtained;
2) for each neighbor node i of the node v, calculating the shortest path from the node i to a target node t of the node v and obtaining a node set P (i, t) on the path, and
Figure FDA0002655737740000011
3) calculating the attraction G of the shortest paths corresponding to all the neighbor nodes of the node v to the node vitAs set forth in the following formula:
Figure FDA0002655737740000012
where n denotes the number of nodes on the path, j 1,2jvThe gravity of the node j to the node v data packet on the path is represented, and the calculation formula is as follows:
Figure FDA0002655737740000013
wherein, cjThe transmission capability of the node j is represented, namely the maximum number of data packets which can be sent in unit time; q. q.sjNumber of packets stored in buffer queue representing node j, thereby
Figure FDA0002655737740000014
Reflect and make a stand ofThe degree of openness of node j; djvRepresents the shortest distance between node j and node v; alpha and gamma are adjustable parameters, and alpha and gamma are constants more than or equal to 1; h isjThe average degree of openness of the neighboring nodes of the node j is represented, and for the u neighboring nodes of the node j, the average degree of openness is:
Figure FDA0002655737740000015
4) obtaining a set L of paths in descending order according to the size of the path gravitation [ L ═ L-1 L2 ... Li]Wherein i is the number of neighbor nodes of the node v, and the path L with the largest path gravitation1The neighbor node of the middle corresponding node v is e;
5) if no data packet of other paths is ready to enter the node e at the same time, the node e is taken as the next routing node transmitted by the data packet of the node v;
6) if a data packet of another path node M is ready to enter the node e at the same time, calculating the weight coefficients M of the node v and the node M respectively, wherein the calculation formula is as follows:
Figure FDA0002655737740000016
k is an adjustable parameter, k is more than or equal to 0 and less than or equal to 1 and is used for balancing the weight between the length of the path and the waiting time;lthe length of the shortest path from the current node to the target node is obtained; q is the number of data packets stored in the current node; c. CeThe maximum number of data packets which can be sent in unit time of the node e is obtained; respectively obtaining weight coefficients Mv and Mm of the node v and the node M through a calculation formula of the weight coefficient M;
7) comparing the size of Mv and Mm, taking the node with large weight coefficient as a priority node to enter the path, and taking a node e as the next routing node for transmitting the priority node data packet;
8) the node with small weight coefficient returns to the step 4) to select the gravity of the entering pathTwo major paths L2
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