CN103986633B - Sub-network division method based on 1394b plurality of subnets transmission structures - Google Patents
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Abstract
The invention provides a kind of sub-network division method based on 1394b plurality of subnets transmission structures, belongs to network information communication technical field.This method step is:Obtain the matrix A of transmission bandwidth between network node;If network topology matrix be X, X's is often classified as a subnet, when r-th node is in certain subnet, to should subnet vector r-th row element value be 1;Enumerate all-network topological matrix;The delay matrix T in each subnet and between subnet under each network topology is calculated, the average delay of whole network is obtained;According to the corresponding network topology matrix of whole network average delay minima, sub-network division is carried out.Present invention achieves 1394b multi-subnet architectures are divided, overall system bandwidth is improve, system average delay is reduced, matrix description system topology is used, it is simple and easy, enormously simplify the calculating time during sub-network division.
Description
Technical field
The invention belongs to network information communication technical field, and in particular to a kind of based on 1394b plurality of subnets transmission structures
Sub-network division method.
Background technology
IEEE1394 buses were developed in 1986 by Apple companies and formed standard in 1987.Initially Apple companies will
Which is named as Firewire (live wire).FireWire specifications are by nineteen ninety-five electrical equipment and Electronic Engineering Association (IEEE)
IEEE1394-1995;The agreement is further improved in IEEE in 2000 and release IEEE1394a;IEEE is based within 2002
IEEE1394-1995 and IEEE1394a are proposed IEEE1394b, and the agreement supports that fiber-optic transfer, bandwidth support 3.2Gbps, pole
Improve greatly transmission performance.As the real-time of IEEE1394b buses is good, transfer rate is high, it is topological flexibly, extension easily and
Hot plug is supported, becomes one of candidate's bussing technique of Aero-Space of future generation, industrial control field.
But 1394b buses are a kind of shared host-host protocols of traditional bus, its data by sharing bus transfer,
Multi-channel data transmission cannot be realized.Although the country possesses some special knowledge to 1394b buses, with regard to 1394b multiplex techniques
Research does not almost have.With the multiplex demand more and more higher of Large Volume Data in military field application, to 1394b transmission it is
The research of the multiplex techniques of system is imperative.
It is different from traditional switching network, in 1394b plurality of subnets switching fabrics, port of the all-ones subnet by switch
Group interconnection is so as to constitute whole data transmission system, and the node in each subnet passes through annular, chain, star-like or tree topology
Shared 1394b fiber buss interconnected, as shown in Figure 1.Each subnet is mutual using traditional 1394b fiber buss
It is coupled structure.When subnet internal node mutual data transmission, all-ones subnet is separate to carry out data transmission;When different sub-network
When having data transfer between node, data are by source node of the switch from a subnet to the target section in another subnet
Point.Accordingly, the data transfer of plurality of subnets switching fabric is divided into into two classes:Transmit between transmission and subnet in subnet.Son
Transmission in net be traditional 1394b fiber buss transmission, this transmission means have the real-time of shared bussing technique with it is true
It is qualitative.Transmit between subnet, realized by switch, its transmission performance is determined by switch.
IEEE was proposed 1394.1 agreements (1394.1 in 2004TM IEEE Standard for High
Performance Serial Bus Bridges,Microprocessor and Microcomputer Standards
Committee), the concept of 1394 bridges is which defined, as shown in Fig. 2 a plurality of 1394 bus can be constituted one by 1394 bridges
The network of intercommunication, multiple bus can independently carry out data transmission and not interact, and data also can be passed by 1394 bridges
It is defeated in other buses, realize the transmission of 1394b network parallel interaction datas.
Above-mentioned 1394 bridge architecture existing defects, when packet is transferred to by bridge in other buses, which will reach institute
Have a bus, take the bandwidth of all buses, including being not intended to obtain the bus of the packet, so as to cause whole network efficiency compared with
It is low.The agreement is not used widely, and does not also support the correlational study and product of the agreement.
The content of the invention
The present invention is based on for the problem that bus bandwidth occupancy is high during 1394b multiplexing, network transmission efficiency is relatively low
A kind of queueing theory, it is proposed that sub-network division method based on 1394b plurality of subnets transmission structures.
The sub-network division method based on 1394b plurality of subnets transmission structures of the present invention, comprises the steps:
Step 1:Transmission bandwidth between network node is obtained, matrix A is expressed as follows:
N represents node number, the i-th row jth column element a in matrix AijRepresent node i roomy to the band that node j sends information
It is little;
Step 2:If i-th subnet PiRepresent, then network topology matrix X=(P1,…,Pi,…,Pn)1×n, PiFor a n
× 1 column vector, when certain subnet vector is vectorial for 0, represents that the subnet is not present;When r-th node is in subnet PiWhen interior,
Then column vector PiR-th row element value be 1, be otherwise 0;
Step 3:The affiliated subnet of each node is set, all-network topological matrix is enumerated;
Step 4:To each network topology matrix, the time delay in each subnet and between subnet under the network topology is calculated, and is obtained
Take the average delay of whole network;
Wherein, the time delay matrix T in each subnet and between subnet is represented:
Element T in matrix TiiRepresent subnet PiInterior time delay,μ be bus average service rate, λiiFor subnet
PiInterior, subnet PiThe transmission bandwidth total amount between other subnets,
Element T in matrix TijRepresent subnet PiWith subnet PjBetween time delay, Tij=Tii+Tjj, TjjRepresent subnet PjInside prolong
When;
The average delay t of whole network is:
Wherein, bbandFor the total bandwidth of network;
Step 5:According to the corresponding network topology matrix of whole network average delay minima, sub-network division is carried out.
Advantages of the present invention with good effect is:
(1) present invention achieves 1394b light bus multiplex techniques, are conducive to the application of 1394b light buses;
(2) the inventive method is based on 1394b plurality of subnets transmission structures, realizes the division of 1394b multi-subnet architectures, improves
Overall system bandwidth, reduces system average delay;
(3) the inventive method is based on queueing theory, using matrix description system topology, simple and easy, enormously simplify
The calculating time during sub-network division.
Description of the drawings
Fig. 1 is 1394b plurality of subnets switching fabric schematic diagrams;
Fig. 2 is 1394 bridge architecture schematic diagrams;
Fig. 3 is the schematic flow sheet of the sub-network division method of the present invention.
Specific embodiment
Below in conjunction with drawings and Examples, the present invention is described in further detail.
The present invention is directed to the multiplex problems of 1394b, according to 1394b plurality of subnets switching fabrics, it is proposed that a kind of simple
Easily sub-network division method, by the transmission bandwidth and subnet topology structure of matrix description 1394b multiloop loop system interior joints, builds
Vertical list window services model, calculate inside each subnet of plurality of subnets system, the bandwidth between subnet and time delay, selects time delay minimum
Topological structure, realizes the division of 1394b multi-subnet architectures.The present invention can not only obtain system minimum time delay topological structure, real
The sub-network division of existing 1394b plurality of subnets transmission structures, and the development of 1394b multiplex techniques will be promoted.The present invention is compared
Originally the shared bus type transmission of 1394b traditional serial, realizes the transmission of 1394b multidiameter delay formulas, and it is total to improve system
Bandwidth, reduces communication delay.
The invention provides a kind of sub-network division method based on 1394b plurality of subnets transmission structures, illustrates with reference to Fig. 3
Implement step.
If there is n node in the 1394b multiplex systems applied by the sub-network division method of the present invention, and based on following
Setting:
(1) known to the data exchange amount of each node;
Different from the relatively random service condition of each node in family network, in the actual application background of avionics system
Under, the inter-node transmission bandwidth of 1394b multi-subnet architectures is relative to be determined, can be evaluated whether its size.
(2) in plurality of subnets system, data exchange meets M/D/1 window schemes;
Based on queueing theory (TQ, the Theory of Queues), it is assumed that data are reached obeys negative the interval time of system
Exponential, and be to determine the service time of each packet, then can be by data in subnet in plurality of subnets system, between subnet
The mathematical model of M/D/1 window schemes is set up in transmission.M/D/1 window schemes are a simple queuing models, wherein M show to
Up to Markov process is obeyed, D shows to leave being to determine and occur with fixed speed, and 1 shows only one server.
The plurality of subnets division methods of the present invention, the step of divide to the 1394b plurality of subnets topological structure of n node such as
Under.
Step 1:Obtain transmission bandwidth between network node.
For the network with n node, all inter-node transmission amount of bandwidth are represented by the matrix A of n × n:
Wherein, the i-th row jth column element a in matrix AijRepresent the amount of bandwidth that node i sends information to node j.In network
There is no situation of the node to itself transmission data, therefore aii=0.
Step 2:If network topology is expressed as matrix X, in matrix, each column vector represents a subnet.
For the network with n node, the plurality of subnets topological matrix of network is represented by the matrix X of n × n:
X=(P1,…,Pi,…,Pn)1×n (2)
Wherein, PiI-th subnet is represented, is the column vector of n × 1.When r-th node is in subnet PiWhen interior, then column vector
PiR-th row element value be 1, be otherwise 0.When a certain subnet interior element is 0, expression does not have node in the subnet
Interior, the subnet is not present.
Relatively, in network, each node, for subnet, can be represented with the row vector of a 1 × n, when r-th node exists
Subnet PiWhen interior, the vector of corresponding node for (0 ... 0,1,0 ..., 0)1×n, wherein, r-th element value is 1, remaining element value
For 0.Obtain for the available knot vector for belonging to the subnet of each subnet vector is added again transposition.If subnet PiSave comprising k
Point, vectorial ε thereini,kRepresent subnet PiIn k-th node, vectorial Pi=(εi,1+εi,2+…εi,k)T。
Step 3:The affiliated subnet of each node is set, all-network topological matrix is enumerated.
By arranging the affiliated subnet of each node, different network topologies are obtained.For the network of n node, Ke Nengcun
The total n of network topology matrixnIt is individual, it is contemplated that network symmetry, half quantity (n can be calculated belown/ network topology square 2)
Battle array.
Step 4:Determine the transmission bandwidth in each subnet and between each subnet under current network topology, and obtain whole network
Average delay.
In network, between arbitrary node, amount of bandwidth is represented by:
εi、εjNode i, the vector of node j are represented respectively.
For the plurality of subnets system with n node, in each subnet, matrix of the transmission bandwidth size by n × n between subnet
B is represented:
Wherein, biiEach node-node transmission total amount of bandwidth inside subnet i is represented, if there was only 1 node inside subnet or without section
Point, biiFor 0;bijRepresent bandwidth sum of each node to each node-node transmission in subnet j in subnet i.
Through checking, inter-node transmission amount of bandwidth matrix A and its topological structure matrix X, transmit between each subnet, subnet
The relation of bandwidth matrices B meets following formula:
B=XTAX (5)
Proof procedure:
If subnet PiIn have k node:i1,i2,…,ik, then subnet PiThe a width of any two of which of interior output transmission
Internodal data transmission bandwidth sum:
Bring (3) formula into and can obtain subnet PiInterior data transfer bandwidth biiFor:
In the same manner, the data transfer bandwidth between subnet can be obtained.If subnet PiIn have m node:i1,i2,…,im, subnet Pj
In have h node:j1,j2,…,jh, subnet PiWith subnet PjBetween data transfer bandwidth biiFor:
(7) and (8) two formulas are brought in formula (4),
That is B=XTAX。
Therefore, by the topological matrix X of the matrix A and plurality of subnets system of inter-node transmission amount of bandwidth, can obtain
Transmission bandwidth matrix B in the subnet of 1394b plurality of subnets systems, between subnet.
In each subnet for n × n, between subnet in transmission bandwidth size matrix B, corresponding subnet, transmit between subnet and prolong
When represented by the matrix T of n × n:
Wherein, TiiRepresent subnet PiInterior time delay.In subnet during data transfer, node calculates flat in a 1394b bus
The waiting time needs the node (including that subnet is interior and between subnet) that data are sent in view of all and bus, according to M/D/1
Window scheme calculates average queuing latency formulaWherein λ is data packet number, and μ is bus average service
Rate.For subnet Pi, λ is subnet PiInterior, subnet PiTransmission bandwidth total amount λ between other subnetsii:
Time delayCan obtain.
In the same manner, TijFor subnet PiWith subnet PjBetween time delay.Data are by subnet PiInterior joint is transmitted to switch and is transferred to again
Subnet PjInterior joint, as the time delay of switch was had been contemplated that in subnet internal delay time is calculated, so Tij=Tii+Tjj。
Finally, the average delay t of acquisition whole network is
Wherein, bbandFor the total bandwidth of network.Formula (12) represents that the bandwidth ratio for taking each subnet is corresponding
Delay-product be added, calculate the average delay of plurality of subnets system.
Step 5:According to the corresponding network topology matrix of whole network average delay minima, sub-network division is carried out.
The minimum topological matrix of whole network average delay is tminWhen corresponding XminMatrix, i.e.,
Claims (1)
1. a kind of sub-network division method based on 1394b plurality of subnets transmission structures, it is characterised in that comprise the steps:
Step 1:Transmission bandwidth between network node is obtained, matrix A is expressed as follows:
N represents node number, the i-th row jth column element a in matrix AijRepresent the amount of bandwidth that node i sends information to node j;
There is no situation of the node to itself transmission data, therefore a in networkii=0;
Step 2:If i-th subnet PiRepresent, then network topology matrix X=(P1,…,Pi,…,Pn)1×n, PiFor n × 1
Column vector, when certain subnet vector is vectorial for 0, represents that the subnet is not present;When r-th node is in subnet PiWhen interior, then arrange
Vectorial PiR-th row element value be 1, be otherwise 0;
Step 3:The affiliated subnet of each node is set, all-network topological matrix is enumerated;
Step 4:To each network topology matrix, the time delay in each subnet and between subnet under the network topology is calculated, and obtains whole
The average delay of individual network;
Wherein, the time delay matrix T in each subnet and between subnet is represented:
Element T in matrix TiiRepresent subnet PiInterior time delay,μ be bus average service rate, λiiFor subnet PiInterior,
Subnet PiThe transmission bandwidth total amount between other subnets,
Element T in matrix TijRepresent subnet PiWith subnet PjBetween time delay, Tij=Tii+Tjj, TjjRepresent subnet PjInterior time delay;
The average delay t of whole network is:
Wherein, bbandFor the total bandwidth of network;
Step 5:According to the corresponding network topology matrix of whole network average delay minima, sub-network division is carried out.
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CN102546336A (en) * | 2011-12-28 | 2012-07-04 | 北京航空航天大学 | IEEE (Institute of Electrical and Electronics Engineers)-1394b optical bus protocol converter based on Versa PHY (Physical Layer) |
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CN102546336A (en) * | 2011-12-28 | 2012-07-04 | 北京航空航天大学 | IEEE (Institute of Electrical and Electronics Engineers)-1394b optical bus protocol converter based on Versa PHY (Physical Layer) |
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