CN114363215A - Train communication network time delay analysis method based on supply and demand balance - Google Patents

Train communication network time delay analysis method based on supply and demand balance Download PDF

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CN114363215A
CN114363215A CN202111619128.2A CN202111619128A CN114363215A CN 114363215 A CN114363215 A CN 114363215A CN 202111619128 A CN202111619128 A CN 202111619128A CN 114363215 A CN114363215 A CN 114363215A
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白璐瑶
张慧勇
贾梦
魏星原
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Beijing Institute of Specialized Machinery
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Abstract

The invention relates to a train communication network time delay analysis method based on supply and demand balance, and belongs to the technical field of train-mounted network system control. The invention provides an end-to-end time delay calculation method based on supply and demand balance, which is used for calculating the maximum end-to-end time delay of real-time period data in a resource partition model, wherein the maximum end-to-end time delay comprises all transmission time, interference time delay, switch time delay and link time delay. The delay analysis method based on supply and demand balance provided by the invention analyzes key factors influencing the real-time performance of the train communication network based on the Ethernet, provides a theoretical basis for the deployment and optimization of the train communication network, and ensures the reliability and the real-time performance of the train communication network.

Description

Train communication network time delay analysis method based on supply and demand balance
Technical Field
The invention belongs to the technical field of train-mounted network system control, and particularly relates to a train communication network delay analysis method based on supply and demand balance.
Background
Real-time is a major indicator for evaluating ethernet solutions. The train communication network real-time evaluation theory based on the Ethernet is mainly end-to-end time delay analysis, wherein the most important is the end-to-end time delay of real-time periodic data. The common network delay analysis method is to introduce a network operation theory, which considers the end-to-end delay under extreme conditions, and the calculation result has larger pessimism. The network delay is a very important real-time evaluation index of the train communication network, and the delay characteristic of a network system must be considered when the train communication network is designed and data stream distribution is carried out, so that the data stream is ensured to be transmitted within a determined delay range, and simultaneously, the waste of resources is not caused. Therefore, the research of a new network delay analysis method has important significance for improving the accuracy of delay calculation.
Disclosure of Invention
Technical problem to be solved
The invention aims to solve the technical problem of how to provide a train communication network delay analysis method based on supply and demand balance so as to solve the problem that a common network delay analysis method is to introduce a network operation theory, the network operation theory considers end-to-end delay under extreme conditions, and a calculation result has larger pessimism.
(II) technical scheme
In order to solve the technical problem, the invention provides a train communication network delay analysis method based on supply and demand balance, which comprises the following steps:
period information miIn two fixed links laAnd a link lbThe response time between is shown by the following equation:
Figure BDA0003437312580000021
iterating from
Figure BDA0003437312580000022
Is started and when the response is no longer changed
Figure BDA0003437312580000023
When the iteration is over, the response time is now
Figure BDA0003437312580000024
Each term in the formula has the following specific meaning:
Figure BDA0003437312580000025
represents miTotal transmission time of CiRepresents period information miTransmission time of δi,a,bIs an influence parameter; u shapei,a,bIndicating a delay caused by interference of high-priority or same-priority data; SDi,a,bRepresenting switch delays, including switch forwarding delays SFDiAnd basic time delay of the switch; vi,a,bWhich is indicative of the delay of the link,
Figure BDA0003437312580000026
wherein
Figure BDA0003437312580000027
Represents miThe sum of all link lengths passed during transmission, v represents the propagation speed of the signal in the physics.
Further, the influence parameter δi,a,bComprises the following steps:
Figure BDA0003437312580000028
wherein LWlRepresents a link liThe size of the periodic phase window of (1), EC being the fundamental period, Idi,lIndicating the idle time in the periodic phase.
Further, idle time Id in periodic phasei,lIs composed of
Figure BDA0003437312580000029
Wherein, PKjRepresents mjSize of data packet, mjAnd miSharing a certain link liData m, data mjIs higher than or equal to miWhere j e [1, N)]。
Further, the U isi,a,bThe calculation method is shown as the following formula:
Figure BDA00034373125800000210
Ckrepresents mkTransmission time of mkRepresents a sum of miSharing laTo lbAnd its priority is higher than or equal to mi,TkRepresents mkThe period of (c).
Further, the switch latency may be affected by other data transmission besides the transmission time of the switch.
Further, the impact of the switch latency during the transmission of the message queue only needs to be considered once.
Further, there is no switch forwarding delay at the source node, and the switch delay is calculated from la+1Initially, the switch forwarding delay is calculated in two cases:
m1and m2Only sharing an input link, wherein the output links are different, and the forwarding time delay of the switch is equal to the respective transmission time;
m1and m2The output link is shared only and the input link and the output link are shared simultaneously, because the output links are the same, data can be queued at the same output port of the switch, and in the process of forwarding the first data to the output port, the second data is in a state of being stored and waiting for forwarding.
Further, miSwitch latency SDi,a,bAs shown in the following formula:
Figure BDA0003437312580000031
SDi,a,b=SFDi,,a,b+SWDi,a,b
wherein C isqRepresents mqSFD is the switch forwarding delay, and SWD is the switch hardware delay.
Further, the switch hardware latency is 50 μ s.
Further, the propagation velocity v is 2.0 x 108 m/s.
(III) advantageous effects
The invention provides a train communication network time delay analysis method based on supply and demand balance, and provides an end-to-end time delay calculation method based on supply and demand balance, which is used for calculating the maximum end-to-end time delay of real-time periodic data in a resource partition model. The delay analysis method based on supply and demand balance provided by the invention analyzes key factors influencing the real-time performance of the train communication network based on the Ethernet, provides a theoretical basis for the deployment and optimization of the train communication network, and ensures the reliability and the real-time performance of the train communication network.
Drawings
Fig. 1 is a diagram of a data transmission link;
FIG. 2 is a small switched Ethernet network;
FIG. 3 is a switch port schedule;
fig. 4 is a switch latency.
Detailed Description
In order to make the objects, contents and advantages of the present invention clearer, the following detailed description of the embodiments of the present invention will be made in conjunction with the accompanying drawings and examples.
The real-time performance is a main index for evaluating an Ethernet solution, and the train communication network real-time performance evaluation theory based on the Ethernet is mainly end-to-end time delay analysis, wherein the most important is the end-to-end time delay of real-time periodic data. The invention provides a time delay analysis method based on supply and demand balance, which is used for analyzing key factors influencing the real-time performance of a train communication network based on Ethernet, providing a theoretical basis for the deployment and optimization of the train communication network and ensuring the reliability and the real-time performance of the train communication network.
The invention provides aAn end-to-end time delay calculation method based on supply and demand balance is used for calculating the maximum end-to-end time delay of real-time periodic data in a resource partition model. The resource partitioning model with latency constraints can be described as RB=(UB,DB) Wherein U isBRepresenting the total network capacity of partitioned resources, DBAn upper bound on the delay representing completion of the task; the periodic task may be described as T (p, e), where p represents the period of the periodic task and e represents the time required for the task to execute. The train communication network based on the Ethernet distributes different bandwidth resources for periodic data and non-periodic data, and data transmission has a time delay requirement and is equivalent to a resource partition model with time delay constraint.
According to the generation reason of the delay, the end-to-end delay of the data mainly comprises: data transmission delay, interference delay, switch delay and the like. An end-to-end delay calculation method based on supply and demand balance respectively calculates a maximum value (rbf) of network requirements in the execution process of a periodic task and a minimum value (sbf) of network resources which can be provided for the periodic task by a resource partition model with delay constraint.
Performing mathematical description on real-time period information transmitted in a train communication network, assuming that the number of the period information to be transmitted in the network is N, and performing mathematical description on ith period information miThe transmission task can be described as:
γi={mi(Ci,Di,Ti,PKi,Si,DSi,Pi,Li,ni),i=1…N}
wherein, CiRepresents period information miTransmission time (data length/bandwidth); diAnd TiRespectively represents miThe cutoff time and period, PKiRepresents miThe size of the data packet; siAnd DSiRepresents miA source node and a destination node; piIndicating a priority; l isiRepresents miSet of links through, niRepresents miNumber of link segments passed, Li={lk|k=1...niAs shown in FIG. 1, Li,a,bRepresents miIn the transmission link of (1), the link laTo lbA link between; n represents the number of data;
the time required from the data transmission from the source node to the data arrival at the destination node is the end-to-end delay, also referred to herein as the response time (rt), rti,a,bRepresents miOn the link laAnd link lbThe transmission delay between the two, the end-to-end time delay of the data is calculated, laFor the transmit link at the source node,/bIs the receive link at the destination node.
Let laAnd lbIs miTwo links, m, through which the transmission passesiFirst via link laThen via link lb. Data miBy links laTo link lbThe maximum value of the response time of (c) is shown by the following equation:
rbf(t)=Ci+SLDi,a,b(t)+SDi,a,b(t)
wherein, CiRepresenting data miThe transmission delay of (2); SLDi,a,bRepresentation and data miData of shared link, for miDelay caused by the influence of the transmission of (c); SDi,a,bIndicating switch latency.
The periodic resource model network can provide the lower bound of network resources as shown in the following equation:
Figure BDA0003437312580000051
LW denotes the size of the data transmission window,
Figure BDA0003437312580000052
and
Figure BDA0003437312580000053
respectively representing links laAnd a link lbThe idle time of the periodic phase window.
rbf (t) and sbf (t) both follow numbersAccording to the change of transmission time, miOn the link laAnd a link lbThe response time of the transmission between is numerically equal to
Figure BDA0003437312580000054
The time of day.
The method is improved on the basis, the time supply limit of the switch is considered while the data transmission time requirement is calculated, the supply and the demand are integrated, and the maximum value of the data end-to-end delay is further obtained by adopting an iteration method.
At this time, the period information miIn two fixed links laAnd a link lbThe response time between is shown by the following equation:
Figure BDA0003437312580000061
iterating from
Figure BDA0003437312580000062
Is started and when the response is no longer changed
Figure BDA0003437312580000063
When the iteration is over, at which point
Figure BDA0003437312580000064
Each term in the formula has the following specific meaning:
(1)
Figure BDA0003437312580000065
represents miThe total transmission time of. Considering the bandwidth limitation that can be provided by the switch, an impact parameter δ is introduced, where δ is expressed as:
Figure BDA0003437312580000066
wherein LWlRepresents a link liThe size of the periodic phase window of (c), EC being the fundamental period,Idi,lrepresents the idle time in the periodic phase, and has the following value:
Figure BDA0003437312580000067
wherein, PKjRepresents mjSize of data packet, mjAnd miSharing a certain link liData m, data mjIs higher than or equal to miThe priority of (2). Wherein j is equal to [1, N ]]。
(2)Ui,a,bRepresenting the delay caused by interference of high or equal priority data, all preceding links being paired with m in order to avoid duplicate consideration of a certain piece of dataiThe calculation is performed on the current link, which is the cause of the influence. Also consider the periodic phase window size limit, Ui,a,bThe calculation method is shown as the following formula:
Figure BDA0003437312580000068
Ckrepresents mkTransmission time of mkRepresents a sum of miSharing laTo lbAnd its priority is higher than or equal to mi,TkRepresents mkA period of (a); .
(3)SDi,a,bThe switch latency is represented, including the switch forwarding latency SFDi and the switch hardware latency (50 μ s).
The forwarding delay of a switch refers to the buffering time of data arriving at the switch before it is transmitted. The switch forwarding delay of data may be affected by other data transmission besides the self transmission time. Each link of each time period is respectively represented by two containers, namely a sending link and a receiving link, wherein the transmission direction of data of the sending link is from a node to a switch, the transmission direction of data of the receiving link is from the switch to the node, and the size of the container is equal to the window time. Scheduling starts with a high priority queue in the ready queues, filling the corresponding container. As shown in the small network of FIG. 2, consider two pieces of data m1 and m2, where m1 is passed by node S1 to node S2 and m2 is passed by node S3 to node S2. Assume that m2 has a higher priority. As shown in fig. 3, the transmission links of S1 and S2 and the reception link of S2 are represented by three containers, respectively. Since m2 has a higher priority, the transmit time of m2 and the switch latency of m2 are first filled into the receive link container of S2.
Considering the continuous forwarding of data, the influence caused by the switch delay in the transmission process of the message queue only needs to be considered once, for example, the second data is in a state of being stored and waiting for forwarding in the process that the first data is forwarded to the output port, and the switch delay of m1 is not included in the receiving link container of S2 because the switch delay of m2 is greater than the switch delay of m 1.
There is no switch forwarding delay at the source node, so the slave/is calculateda+1And starting. The switch forwarding delay is calculated in two cases:
(i)m1and m2Only the input link is shared. Because the outgoing links are different, they are stored in different outgoing queues of the switch, and the switch forwarding delay is equal to the respective transmission time.
(ii)m1And m2Sharing only the output link and sharing both the input and output links. In both cases, the data will be queued at the same output port of the switch due to the same output link. While the first data is being forwarded to the output port, the second data is in a state of being stored and waiting for forwarding. As shown in fig. 4, when the transmission time C of the period information1>C2When m is due to1When forwarded, m2Wait to be forwarded, at which time m2Is equal to m1Rather than its own transmission time. Therefore, when m1And m2When sharing output links simultaneously or sharing input and output links simultaneously, m2The calculation of the transmission delay of the switch needs to consider m1The switch transmit delay. When C is present1<C2When m is2Switch forwarding delay equal to C2
Therefore, miSwitch latency SDi,a,bAs shown in the following formula:
Figure BDA0003437312580000071
SDi,a,b=SFDi,,a,b+SWDi,a,b
wherein C isqRepresents mqSFD is the switch forwarding delay and SWD is the switch hardware delay, e.g. 50 μ s.
(4)Vi,a,bThe link delay is represented, and the calculation result is shown as the following formula:
Figure BDA0003437312580000081
wherein
Figure BDA0003437312580000082
Represents miThe sum of all link lengths passed during transmission, v represents the propagation speed of the signal in physics 2.0 x 108 m/s.
The invention provides an end-to-end time delay calculation method based on supply and demand balance, which is used for calculating the maximum end-to-end time delay of real-time period data in a resource partition model. The delay analysis method based on supply and demand balance provided by the invention analyzes key factors influencing the real-time performance of the train communication network based on the Ethernet, provides a theoretical basis for the deployment and optimization of the train communication network, and ensures the reliability and the real-time performance of the train communication network.
The above description is only a preferred embodiment of the present invention, and it should be noted that, for those skilled in the art, several modifications and variations can be made without departing from the technical principle of the present invention, and these modifications and variations should also be regarded as the protection scope of the present invention.

Claims (10)

1. A train communication network time delay analysis method based on supply and demand balance is characterized by comprising the following steps:
period information miIn two fixed links laAnd a link lbThe response time between is shown by the following equation:
Figure FDA0003437312570000011
iterating from
Figure FDA0003437312570000012
Is started and when the response is no longer changed
Figure FDA0003437312570000013
When the iteration is over, the response time is now
Figure FDA0003437312570000014
Each term in the formula has the following specific meaning:
Figure FDA0003437312570000015
represents miTotal transmission time of CiRepresents period information miTransmission time of δi,a,bIs an influence parameter; u shapei,a,bIndicating a delay caused by interference of high-priority or same-priority data; SDi,a,bRepresenting switch delays, including switch forwarding delays SFDiAnd basic time delay of the switch; vi,a,bWhich is indicative of the delay of the link,
Figure FDA0003437312570000016
wherein
Figure FDA0003437312570000017
Represents miAll the links passed by in the transmission process are longThe sum of degrees, v, represents the propagation velocity of the signal in the physical.
2. The supply and demand balance based train communication network delay analysis method according to claim 1, wherein the influence parameter δi,a,bComprises the following steps:
Figure FDA0003437312570000018
wherein LWlRepresents a link liThe size of the periodic phase window of (1), EC being the fundamental period, Idi,lIndicating the idle time in the periodic phase.
3. The supply and demand balance based train communication network delay analysis method according to claim 2, wherein idle time Id in a periodic phasei,lIs composed of
Figure FDA0003437312570000019
Wherein, PKjRepresents mjSize of data packet, mjAnd miSharing a certain link liData m, data mjIs higher than or equal to miWhere j e [1, N)]。
4. The supply and demand balance based train communication network delay analysis method according to any one of claims 1 to 3, wherein the U isi,a,bThe calculation method is shown as the following formula:
Figure FDA0003437312570000021
Ckrepresents mkTransmission time of mkRepresents a sum of miSharing laTo lbOf one or more links with priority higher than or equal toAt mi,TkRepresents mkThe period of (c).
5. The method for analyzing the delay of the train communication network based on the supply and demand balance as claimed in claim 4, wherein the switch delay is affected by other data transmission besides the transmission time of the switch.
6. The supply and demand balance based train communication network delay analysis method according to claim 4, wherein an influence caused by the switch delay in the transmission process of the message queue only needs to be considered once.
7. The supply and demand balance based train communication network delay analysis method according to claim 4, wherein the switch forwarding delay does not exist at the source node, and the switch delay calculation is carried out from la+1Initially, the switch forwarding delay is calculated in two cases:
m1and m2Only sharing an input link, wherein the output links are different, and the forwarding time delay of the switch is equal to the respective transmission time;
m1and m2The output link is shared only and the input link and the output link are shared simultaneously, because the output links are the same, data can be queued at the same output port of the switch, and in the process of forwarding the first data to the output port, the second data is in a state of being stored and waiting for forwarding.
8. The supply and demand balance based train communication network delay analysis method according to claim 4, wherein m isiSwitch latency SDi,a,bAs shown in the following formula:
Figure FDA0003437312570000022
SDi,a,b=SFDi,,a,b+SWDi,a,b
wherein C isqRepresents mqSFD is the switch forwarding delay, and SWD is the switch hardware delay.
9. The supply and demand balance based train communication network delay analysis method according to claim 8, wherein the switch hardware delay is 50 μ s.
10. The supply and demand balance based train communication network delay analysis method according to claim 1, wherein the propagation velocity v is 2.0 x 108 m/s.
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