CN106375153A - A Schedulability Analysis Method for Real-time Communication in Network-on-Chip - Google Patents

A Schedulability Analysis Method for Real-time Communication in Network-on-Chip Download PDF

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CN106375153A
CN106375153A CN201610802013.XA CN201610802013A CN106375153A CN 106375153 A CN106375153 A CN 106375153A CN 201610802013 A CN201610802013 A CN 201610802013A CN 106375153 A CN106375153 A CN 106375153A
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interference
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indirect interference
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吴非
谢长生
熊钦
鲁中海
朱玥
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Huazhong University of Science and Technology
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
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Abstract

The invention discloses a schedulability analysis method for real-time communication on a network-on-chip. The method comprises the following steps: taking a stream with the highest priority among streams that are not analyzed as a target stream; searching a direct interference stream, the direct interference stream having high priority and sharing link resources on a routing path of the target stream; searching an indirect interference stream and a downstream indirect interference stream of the indirect interference stream, wherein the indirect interference stream is the stream that has high priority, shares the link resources with the direct interference stream on a direct interference stream path of the target stream and does not share the link resources with the target stream, and the indirect interference stream is divided into an upstream indirect interference stream and the downstream indirect interference stream according to a relative position in which the indirect interference stream and the direct interference stream share the link resources; calculating the maximum indirect interference and the maximum downstream indirect interference; and calculating the maximum time delay of the target stream. The method makes a distinction between different effects of the upstream indirect interference stream and the downstream indirect interference stream upon the target stream when analyzing and calculating the maximum time delay of the target stream, thereby ensuring correctness of schedulability analysis for real-time communication on the network-on-chip.

Description

一种片上网络中实时通信的可调度性分析方法A Schedulability Analysis Method for Real-time Communication in Network-on-Chip

技术领域technical field

本发明属于集成电路片上网络通信技术领域,更具体地,涉及一种片上网络中实时通信的可调度性分析方法。The invention belongs to the technical field of integrated circuit on-chip network communication, and more specifically relates to a schedulability analysis method for real-time communication in an on-chip network.

背景技术Background technique

相比于非实时通信,实时通信除了要求传输结果的逻辑正确性,还要求传输延时小于或等于预设阈值,以保证服务质量(Quality of Service,简称QoS)。对于关键性系统,如果在运行的时候,实时通信未能满足相应的预设阈值,结果将是灾难性的。因此,在设计阶段对片上网络中所有实时通信流能否满足对应的预设阈值进行验证,即可调度性分析,显得尤为重要。Compared with non-real-time communication, real-time communication not only requires the logical correctness of the transmission result, but also requires the transmission delay to be less than or equal to a preset threshold to ensure the Quality of Service (QoS for short). For critical systems, if the real-time communication fails to meet the corresponding preset thresholds during operation, the result will be catastrophic. Therefore, in the design stage, it is particularly important to verify whether all real-time communication flows in the network on chip can meet the corresponding preset thresholds, that is, to analyze the schedulability.

针对这个问题,发表于2008年第十届IEEE/ACM International Symposium onNetworks-on-Chip国际会议第161-170页的“Real-time communication analysis foron-chip networks with wormhole switching”运用实时调度分析理论,建立了一个模型(以下简称为SB模型)来分析每个目标流的最大延时,该模型易于计算,但是引入了过多的不存在的干扰,导致所计算的最大延时过大,可调度性过低。发表于《IEEE Transactionson Computers》2015年第64卷第4期1177-1190页的“SLA:A stage-level latencyanalysis for real-time communication in a pipelined resource model”提出了一种更细粒度的模型(以下简称为SLA模型),能够在一定程度上除去以前模型中引入的不存在的干扰,从而使得所计算出来的最大延时和可调度性更贴近实际,但是该模型提高了计算的复杂性。同时,上述模型所计算出来的最大延时可能比实际中的延时小,将本来不可调度的流认为是可以调度的,在实时系统中引起灾难性后果。In response to this problem, "Real-time communication analysis for on-chip networks with wormhole switching" published on pages 161-170 of the 10th IEEE/ACM International Symposium onNetworks-on-Chip International Conference in 2008 uses real-time scheduling analysis theory to establish A model (hereinafter referred to as the SB model) is proposed to analyze the maximum delay of each target flow. This model is easy to calculate, but it introduces too many interferences that do not exist, resulting in the calculated maximum delay being too large, and the schedulability too low. "SLA: A stage-level latency analysis for real-time communication in a pipelined resource model" published in "IEEE Transactions on Computers", Volume 64, Issue 4, 1177-1190, 2015, proposes a finer-grained model (following SLA model for short), can remove the non-existent interference introduced in the previous model to a certain extent, so that the calculated maximum delay and schedulability are closer to reality, but this model increases the complexity of calculation. At the same time, the maximum delay calculated by the above model may be smaller than the actual delay, and the originally unschedulable flow is considered as schedulable, causing catastrophic consequences in real-time systems.

发明内容Contents of the invention

针对现有技术的以上缺陷或改进需求,本发明提供了一种片上网络中实时通信的可调度性分析方法,其目的在于,通过区分上下游对间接干扰流对目标流产生的不同干扰效果,以实时调度分析理论为基础,分析得到与实际相符的、正确的可调度性结果,从而解决了现有模型中可能产生错误分析结果的技术问题。In view of the above defects or improvement needs of the prior art, the present invention provides a method for analyzing the schedulability of real-time communication in a network on chip. Based on the theory of real-time scheduling analysis, the actual and correct schedulability results are obtained through analysis, thus solving the technical problem that may produce wrong analysis results in the existing models.

为实现上述目的,按照本发明的一个方面,提供了一种片上网络中实时通信的可调度性分析方法,包括以下步骤:In order to achieve the above object, according to one aspect of the present invention, a method for analyzing the schedulability of real-time communication in a network on chip is provided, comprising the following steps:

步骤a:将片上网络中未分析的流中最高优先级的流确定为目标流;Step a: determining the flow with the highest priority among the unanalyzed flows in the network-on-chip as the target flow;

步骤b:在目标流的路由路径上寻找共享链路资源的高优先级流,并将其作为直接干扰流;Step b: Find a high-priority flow that shares link resources on the routing path of the target flow, and use it as a direct interference flow;

步骤c:在目标流的直接干扰流路径上,将与直接干扰流共享链路资源,但不与目标流共享链路资源的高优先级流确定为间接干扰流,根据间接干扰流与直接干扰流共享链路资源的相对位置将间接干扰流划分为上游间接干扰流和下游间接干扰流;Step c: On the direct interference flow path of the target flow, determine the high-priority flow that shares link resources with the direct interference flow but does not share link resources with the target flow as the indirect interference flow, according to the indirect interference flow and the direct interference flow The relative position of flow sharing link resources divides the indirect interference flow into upstream indirect interference flow and downstream indirect interference flow;

步骤d:根据直接干扰流、上游间接干扰流和下游间接干扰流计算最大间接干扰和最大下游间接干扰;Step d: Calculate the maximum indirect interference and the maximum downstream indirect interference according to the direct interference flow, the upstream indirect interference flow and the downstream indirect interference flow;

步骤e:根据最大间接干扰Iji和最大下游间接干扰计算目标流的最大延时;Step e: According to the maximum indirect interference I ji and the maximum downstream indirect interference Calculate the maximum delay of the target flow;

步骤f:判断目标流的最大延时是否小于或等于预设阈值,该阈值的取值是根据服务等级协议确定的,如果是则重复步骤a至f,直至片上网络中所有的流都处理完毕为止,否则表示该片上网络中的实时通信不可被调度,过程结束。Step f: Determine whether the maximum delay of the target flow is less than or equal to the preset threshold value. The value of the threshold value is determined according to the service level agreement. If so, repeat steps a to f until all the flows in the network on chip are processed Otherwise, it means that the real-time communication in the NoC cannot be scheduled, and the process ends.

优选地,步骤b中,如果目标流的路由路径上存在一个或多个流,其优先级比目标流的优先级高,那么该流就被视作高优先级流。Preferably, in step b, if there are one or more flows on the routing path of the target flow whose priority is higher than that of the target flow, then the flow is regarded as a high-priority flow.

优选地,干扰流包括直接干扰流和间接干扰流,直接干扰流集合其中,i和j为编号,λi和λj分别为目标流和直接干扰流,分别为λi和λj的路由路径上的链路资源集合,Pi和Pj分别为λi和λj的优先级。Preferably, the interfering flow includes direct interfering flow and indirect interfering flow, and the direct interfering flow set Among them, i and j are numbers, λ i and λ j are target flow and direct interference flow respectively, and are the link resource sets on the routing path of λ i and λ j respectively, and P i and P j are the priorities of λ i and λ j respectively.

优选地,步骤c中高优先级流指的是如果直接干扰流的路由路径上存在一个或多个流,其优先级比直接干扰流的优先级高,那么该流就被视作高优先级流。Preferably, the high-priority flow in step c means that if there are one or more flows on the routing path of the direct interference flow, the priority of which is higher than that of the direct interference flow, then the flow is regarded as a high-priority flow .

优选地,步骤c中,间接干扰流集合 其中k为编号,λk为间接干扰流,上游间接干扰流集合下游间接干扰流集合其中,fji和fjk分别为λi和λk与λj共享的第一条链路在λj的路由路径上的编号。Preferably, in step c, the set of indirect interference flows Where k is the serial number, λ k is the indirect interference flow, and the upstream indirect interference flow set downstream indirect interfering flow set Among them, f ji and f jk are respectively the numbers of the first link shared by λ i and λ k with λ j on the routing path of λ j .

优选地,最大间接干扰Iji和最大下游间接干扰分别为:Preferably, the maximum indirect interference I ji and the maximum downstream indirect interference They are:

Iji=Rj-Cj I ji =R j -C j

II jj ii DD. == ΣΣ λλ kk ∈∈ SS II ii DD. jj II kk jj

其中,Cj为λj在没有受到干扰时的最大延时,Ikj为λk对λj产生的干扰,Rj为λj的最大延时,其计算公式如下:Among them, C j is the maximum delay of λ j when it is not disturbed, I kj is the interference generated by λ k on λ j , R j is the maximum delay of λ j , and its calculation formula is as follows:

其中,Tk为λk中最小发包间隔,Ck为λk在没有受到干扰时的最大延时,Jk为λk发包间隔的时间抖动。Among them, T k is the minimum packet sending interval in λ k , C k is the maximum delay when λ k is not disturbed, and J k is the time jitter of the packet sending interval of λ k .

优选地,步骤e中目标流的最大延时计算公式为:Preferably, the formula for calculating the maximum delay of the target flow in step e is:

总体而言,通过本发明所构思的以上技术方案与现有技术相比,能够取得下列有益效果:Generally speaking, compared with the prior art, the above technical solutions conceived by the present invention can achieve the following beneficial effects:

(1)本发明能够解决现有模型中由于最大延时的计算出现错误,导致系统中出现灾难性后果这一问题:由于采用了步骤c、d和e,将间接干扰流进一步区分为上游间接干扰流和下游间接干扰流,从而计算出最大下游间接干扰,并运用于最大延时的计算,因此能够修正现有模型中存在的计算错误,得到正确的片上网络中实时实时通信的可调度性分析结果。(1) The present invention can solve the problem of catastrophic consequences in the system due to errors in the calculation of the maximum delay in the existing model: due to the adoption of steps c, d and e, the indirect interfering flow is further divided into upstream indirect Interference flow and downstream indirect interference flow, so as to calculate the maximum downstream indirect interference, and apply it to the calculation of the maximum delay, so the calculation errors in the existing model can be corrected, and the correct schedulability of real-time real-time communication in the network on chip can be obtained Analyze the results.

(2)本发明能够保证上游间接干扰流和下游间接干扰流区分的准确性:在步骤c中,使用间接干扰流与直接干扰流共享的第一条链路和直接干扰流与目标流共享的第一条链路之间的相对位置作为判决条件,可以快速而准确的区分出上游间接干扰流和下游间接干扰流。(2) The present invention can ensure the accuracy of distinguishing the upstream indirect interference flow and the downstream indirect interference flow: in step c, use the first link shared by the indirect interference flow and the direct interference flow and the first link shared by the direct interference flow and the target flow The relative position between the first links is used as a judgment condition, which can quickly and accurately distinguish the upstream indirect interference flow from the downstream indirect interference flow.

(3)本发明能够求解出正确的最大下游间接干扰:在步骤d中,通过对下游间接干扰流对直接干扰流产生的干扰进行求和,保证了得到的结果不小于任何情况下的下游间接干扰,即最大间接干扰。(3) The present invention can solve the correct maximum downstream indirect interference: in step d, by summing the interference produced by the downstream indirect interference flow on the direct interference flow, it is guaranteed that the obtained result is not less than the downstream indirect interference under any circumstances Interference, which is the maximum indirect interference.

(4)本发明方法的计算速度快,效率高。(4) The calculation speed of the method of the present invention is fast and the efficiency is high.

附图说明Description of drawings

图1是本发明片上网络中实时通信的可调度性分析方法的流程图;Fig. 1 is the flowchart of the schedulability analysis method of real-time communication in the network on chip of the present invention;

图2是含有5条实时通信流的片上网络。Figure 2 is an on-chip network containing 5 real-time communication streams.

具体实施方式detailed description

为了使本发明的目的、技术方案及优点更加清楚明白,以下结合附图及实施例,对本发明进行进一步详细说明。应当理解,此处所描述的具体实施例仅仅用以解释本发明,并不用于限定本发明。此外,下面所描述的本发明各个实施方式中所涉及到的技术特征只要彼此之间未构成冲突就可以相互组合。In order to make the object, technical solution and advantages of the present invention clearer, the present invention will be further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described here are only used to explain the present invention, not to limit the present invention. In addition, the technical features involved in the various embodiments of the present invention described below can be combined with each other as long as they do not constitute a conflict with each other.

如图1所示,本发明片上网络中实时通信的可调度性分析方法包括以下步骤:As shown in Figure 1, the schedulability analysis method of real-time communication in the network on chip of the present invention comprises the following steps:

步骤a:将片上网络中未分析的流中最高优先级的流确定为目标流;Step a: determining the flow with the highest priority among the unanalyzed flows in the network-on-chip as the target flow;

步骤b:在目标流的路由路径上寻找共享链路资源的高优先级流,并将其作为直接干扰流;具体而言,如果目标流的路由路径上存在一个或多个流,其优先级比目标流的优先级高,那么该流就被视作高优先级流;Step b: Find high-priority flows that share link resources on the routing path of the target flow, and treat them as direct interference flows; specifically, if there are one or more flows on the routing path of the target flow, their priority If the priority of the target flow is higher than that of the target flow, then the flow is regarded as a high-priority flow;

干扰流分为直接干扰流和间接干扰流。直接干扰流集合其中,i和j为编号,λi和λj分别为目标流和直接干扰流,分别为λi和λj的路由路径上的链路资源集合,Pi和Pj分别为λi和λj的优先级。Interference flow is divided into direct interference flow and indirect interference flow. direct interference flow collection Among them, i and j are numbers, λ i and λ j are target flow and direct interference flow respectively, and are the link resource sets on the routing path of λ i and λ j respectively, and P i and P j are the priorities of λ i and λ j respectively.

步骤c:在目标流的直接干扰流路径上,将与直接干扰流共享链路资源,但不与目标流共享链路资源的高优先级流确定为间接干扰流,根据间接干扰流与直接干扰流共享链路资源的相对位置将间接干扰流划分为上游间接干扰流和下游间接干扰流;具体而言,本步骤中所提到的高优先级流,指的是如果直接干扰流的路由路径上存在一个或多个流,其优先级比直接干扰流的优先级高,那么该流就被视作高优先级流;Step c: On the direct interference flow path of the target flow, determine the high-priority flow that shares link resources with the direct interference flow but does not share link resources with the target flow as the indirect interference flow, according to the indirect interference flow and the direct interference flow The relative position of flow sharing link resources divides the indirect interference flow into upstream indirect interference flow and downstream indirect interference flow; specifically, the high priority flow mentioned in this step refers to the routing path if the direct interference flow If there are one or more streams whose priority is higher than that of the directly interfering stream, then the stream is regarded as a high-priority stream;

间接干扰流集合其中k为编号,λk为间接干扰流。间接干扰流依据与直接干扰流共享链路资源的相对位置被划分为上游和下游间接干扰流。上游间接干扰流集合下游间接干扰流集合其中,fji和fjk分别为λi和λk与λj共享的第一条链路在λj的路由路径上的编号(一个流的路由路径上的链路编号沿着流的前进方向自1开始依次递增)。具体来讲,如果间接干扰流与直接干扰流共享的第一条链路在直接干扰流与目标流共享的第一条链路上游,则该间接干扰流为上游间接干扰流;反之,则为下游间接干扰流。indirect interfering flow collection Among them, k is the serial number, and λ k is the indirect interference flow. The indirect interfering flow is divided into upstream and downstream indirect interfering flows according to the relative position of sharing link resources with the direct interfering flow. upstream indirect interfering flow set downstream indirect interfering flow set Among them, f ji and f jk are respectively the numbers of the first link shared by λ i and λ k with λ j on the routing path of λ j (the link numbers on the routing path of a flow are along the forward direction of the flow Incrementing sequentially from 1). Specifically, if the first link shared by the indirect interfering flow and the direct interfering flow is upstream of the first link shared by the direct interfering flow and the target flow, the indirect interfering flow is upstream indirect interfering flow; otherwise, it is Downstream indirect disturbance flow.

步骤d:根据直接干扰流、上游间接干扰流和下游间接干扰流计算最大间接干扰和最大下游间接干扰;Step d: Calculate the maximum indirect interference and the maximum downstream indirect interference according to the direct interference flow, the upstream indirect interference flow and the downstream indirect interference flow;

最大间接干扰Iji和最大下游间接干扰分别为:Maximum indirect interference I ji and maximum downstream indirect interference They are:

Iji=Rj-Cj I ji =R j -C j

II jj ii DD. == ΣΣ λλ kk ∈∈ SS II ii DD. jj II kk jj

其中,Cj为λj在没有受到干扰时的最大延时,Ikj为λk对λj产生的干扰,Rj为λj的最大延时,其计算公式如下:Among them, C j is the maximum delay of λ j when it is not disturbed, I kj is the interference generated by λ k on λ j , R j is the maximum delay of λ j , and its calculation formula is as follows:

其中,Tk为λk中最小发包间隔,Ck为λk在没有受到干扰时的最大延时,Jk为λk发包间隔的时间抖动。Among them, T k is the minimum packet sending interval in λ k , C k is the maximum delay when λ k is not disturbed, and J k is the time jitter of the packet sending interval of λ k .

步骤e:根据最大间接干扰Iji和最大下游间接干扰计算目标流的最大延时;Step e: According to the maximum indirect interference I ji and the maximum downstream indirect interference Calculate the maximum delay of the target flow;

目标流的最大延时计算公式为The formula for calculating the maximum delay of the target stream is

步骤f:判断目标流的最大延时是否小于或等于预设阈值,该阈值的取值是根据服务等级协议(Service Level Agreement)确定的,如果是则重复步骤a至f,直至片上网络中所有的流都处理完毕为止,否则表示该片上网络中的实时通信不可被调度,过程结束。Step f: Determine whether the maximum delay of the target flow is less than or equal to a preset threshold, the value of which is determined according to the Service Level Agreement (Service Level Agreement), if so, repeat steps a to f until all until all the streams are processed, otherwise it means that the real-time communication in the network-on-chip cannot be scheduled, and the process ends.

一、实施例:1. Embodiment:

以图2中五条实时通信流为例,推导分析可调度性计算过程。表1中为5条实时流的参数,其中,Ci、Ti、Pi、Di和Ji分别为流对应的无干扰最大延时、最小发包间隔、优先级、预设阈值和发包间隔的抖动。Taking the five real-time communication flows in Figure 2 as examples, the schedulability calculation process is deduced and analyzed. Table 1 shows the parameters of 5 real-time streams, where C i , T i , P i , D i and J i are respectively the maximum delay without interference, the minimum packet sending interval, the priority, the preset threshold and the packet sending corresponding to the stream. interval jitter.

表1Table 1

由于本实施例中实时流的数量是5个,因此本发明的过程应包括有5个循环过程,具体如下:Because the quantity of real-time flow is 5 in the present embodiment, so the process of the present invention should include 5 cyclic processes, specifically as follows:

(1)第一次循环:(1) The first cycle:

步骤a:将片上网络中未分析的流中最高优先级的流确定为目标流。Step a: Determine the flow with the highest priority among the unanalyzed flows in the network on chip as the target flow.

片上网络中未分析的流有λ1、λ2、λ3、λ4和λ5,其中λ1的优先级最高。因此,λ1为目标流。The unanalyzed flows in the network on chip include λ 1 , λ 2 , λ 3 , λ 4 and λ 5 , among which λ 1 has the highest priority. Therefore, λ 1 is the target flow.

步骤b:在目标流的路由路径上寻找共享链路资源的高优先级流,并将其作为直接干扰流。Step b: Find a high-priority flow sharing link resources on the routing path of the target flow, and use it as a direct interference flow.

对于λ1,不存在直接干扰流, For λ 1 , there is no direct interfering flow,

步骤c:在目标流的直接干扰流路径上,将与直接干扰流共享链路资源,但不与目标流共享链路资源的高优先级流确定为间接干扰流,根据间接干扰流与直接干扰流共享链路资源的相对位置将间接干扰流划分为上游间接干扰流和下游间接干扰流。Step c: On the direct interference flow path of the target flow, determine the high-priority flow that shares link resources with the direct interference flow but does not share link resources with the target flow as the indirect interference flow, according to the indirect interference flow and the direct interference flow The relative positions of flow sharing link resources divide the indirect interference flow into upstream indirect interference flow and downstream indirect interference flow.

对于λ1,不存在间接干扰流,也不存在下游间接干扰流, For λ 1 , there is no indirect interference flow, and there is no downstream indirect interference flow,

步骤d:根据直接干扰流、上游间接干扰流和下游间接干扰流计算最大间接干扰和最大下游间接干扰。Step d: Calculate the maximum indirect interference and the maximum downstream indirect interference according to the direct interference flow, the upstream indirect interference flow and the downstream indirect interference flow.

对于λ1,最大间接干扰和下游间接干扰均为0。For λ 1 , both the maximum indirect interference and the downstream indirect interference are zero.

步骤e:根据最大间接干扰Iji和最大下游间接干扰计算目标流的最大延时。Step e: According to the maximum indirect interference I ji and the maximum downstream indirect interference Calculate the maximum latency of the target stream.

对于λ1,最大延时为R1=C1=30。For λ 1 , the maximum delay is R 1 =C 1 =30.

步骤f:判断目标流的最大延时是否小于或等于预设阈值,如果是则重复步骤a至f,直至片上网络中所有的流都处理完毕为止,否则表示该片上网络中实时通信不可被调度,过程结束。Step f: Determine whether the maximum delay of the target flow is less than or equal to the preset threshold, if so, repeat steps a to f until all the flows in the network on chip are processed, otherwise it means that the real-time communication in the network on chip cannot be scheduled , the process ends.

对于λ1,R1=30<D1=100,小于预设阈值,同时还有未分析的流,因此重复步骤a至f。For λ 1 , R 1 =30<D 1 =100, less than the preset threshold, and there is still unanalyzed flow, so steps a to f are repeated.

(2)第二次循环:(2) The second cycle:

步骤a:将片上网络中未分析的流中最高优先级的流确定为目标流。Step a: Determine the flow with the highest priority among the unanalyzed flows in the network on chip as the target flow.

片上网络中未分析的流有λ2、λ3、λ4和λ5,其中λ2的优先级最高。因此,λ2为目标流。The unanalyzed flows in the network on chip include λ 2 , λ 3 , λ 4 and λ 5 , among which λ 2 has the highest priority. Therefore, λ 2 is the target flow.

步骤b:在目标流的路由路径上寻找共享链路资源的高优先级流,并将其作为直接干扰流。Step b: Find a high-priority flow sharing link resources on the routing path of the target flow, and use it as a direct interference flow.

对于λ2,不存在直接干扰流, For λ 2 , there is no direct interfering flow,

步骤c:在目标流的直接干扰流路径上,将与直接干扰流共享链路资源,但不与目标流共享链路资源的高优先级流确定为间接干扰流,根据间接干扰流与直接干扰流共享链路资源的相对位置将间接干扰流划分为上游间接干扰流和下游间接干扰流。Step c: On the direct interference flow path of the target flow, determine the high-priority flow that shares link resources with the direct interference flow but does not share link resources with the target flow as the indirect interference flow, according to the indirect interference flow and the direct interference flow The relative positions of flow sharing link resources divide the indirect interference flow into upstream indirect interference flow and downstream indirect interference flow.

对于λ2,不存在间接干扰流,也不存在下游间接干扰流, For λ 2 , there is no indirect interference flow, and there is no downstream indirect interference flow,

步骤d:根据直接干扰流、上游间接干扰流和下游间接干扰流计算最大间接干扰和最大下游间接干扰。Step d: Calculate the maximum indirect interference and the maximum downstream indirect interference according to the direct interference flow, the upstream indirect interference flow and the downstream indirect interference flow.

对于λ2,最大间接干扰和下游间接干扰均为0。For λ 2 , both the maximum indirect interference and the downstream indirect interference are zero.

步骤e:根据最大间接干扰Iji和最大下游间接干扰计算目标流的最大延时。Step e: According to the maximum indirect interference I ji and the maximum downstream indirect interference Calculate the maximum latency of the target stream.

对于λ2,最大延时为R2=C2=30。For λ 2 , the maximum delay is R 2 =C 2 =30.

步骤f:判断目标流的最大延时是否小于或等于预设阈值,如果是则重复步骤a至f,直至片上网络中所有的流都处理完毕为止,否则表示该片上网络中实时通信不可被调度,过程结束。Step f: Determine whether the maximum delay of the target flow is less than or equal to the preset threshold, if so, repeat steps a to f until all the flows in the network on chip are processed, otherwise it means that the real-time communication in the network on chip cannot be scheduled , the process ends.

对于λ2,R2=30<D2=100,小于预设阈值,同时还有未分析的流,因此重复步骤a至f。For λ 2 , R 2 =30<D 2 =100, less than the preset threshold, and there is still unanalyzed flow, so steps a to f are repeated.

(3)第三次循环:(3) The third cycle:

步骤a:将片上网络中未分析的流中最高优先级的流确定为目标流。Step a: Determine the flow with the highest priority among the unanalyzed flows in the network on chip as the target flow.

片上网络中未分析的流有λ3、λ4和λ5,其中λ3的优先级最高。因此,λ3为目标流。The unanalyzed flows in the network on chip include λ 3 , λ 4 and λ 5 , among which λ 3 has the highest priority. Therefore, λ 3 is the target flow.

步骤b:在目标流的路由路径上寻找共享链路资源的高优先级流,并将其作为直接干扰流。Step b: Find a high-priority flow sharing link resources on the routing path of the target flow, and use it as a direct interference flow.

对于λ3,直接干扰流集合为 For λ 3 , the set of direct interference flows is

步骤c:在目标流的直接干扰流路径上,将与直接干扰流共享链路资源,但不与目标流共享链路资源的高优先级流确定为间接干扰流,根据间接干扰流与直接干扰流共享链路资源的相对位置将间接干扰流划分为上游间接干扰流和下游间接干扰流。Step c: On the direct interference flow path of the target flow, determine the high-priority flow that shares link resources with the direct interference flow but does not share link resources with the target flow as the indirect interference flow, according to the indirect interference flow and the direct interference flow The relative positions of flow sharing link resources divide the indirect interference flow into upstream indirect interference flow and downstream indirect interference flow.

对于λ3,不存在间接干扰流,也不存在下游间接干扰流, For λ 3 , there is no indirect interference flow, and there is no downstream indirect interference flow,

步骤d:根据直接干扰流、上游间接干扰流和下游间接干扰流计算最大间接干扰和最大下游间接干扰。Step d: Calculate the maximum indirect interference and the maximum downstream indirect interference according to the direct interference flow, the upstream indirect interference flow and the downstream indirect interference flow.

对于λ3,最大间接干扰和下游间接干扰均为0, For λ 3 , both the maximum indirect interference and the downstream indirect interference are 0,

步骤e:根据最大间接干扰Iji和最大下游间接干扰计算目标流的最大延时。Step e: According to the maximum indirect interference I ji and the maximum downstream indirect interference Calculate the maximum latency of the target stream.

对于λ3,最大延时为解得R3=270。For λ 3 , the maximum delay is Solving R 3 =270.

步骤f:判断目标流的最大延时是否小于或等于预设阈值,如果是则重复步骤a至f,直至片上网络中所有的流都处理完毕为止,否则表示该片上网络中实时通信不可被调度,过程结束。Step f: Determine whether the maximum delay of the target flow is less than or equal to the preset threshold, if so, repeat steps a to f until all the flows in the network on chip are processed, otherwise it means that the real-time communication in the network on chip cannot be scheduled , the process ends.

对于λ3,R3=270<D3=300,小于预设阈值,同时还有未分析的流,因此重复步骤a至f。For λ 3 , R 3 =270<D 3 =300, which is less than the preset threshold, and there is still unanalyzed flow, so steps a to f are repeated.

(4)第四次循环:(4) The fourth cycle:

步骤a:将片上网络中未分析的流中最高优先级的流确定为目标流。Step a: Determine the flow with the highest priority among the unanalyzed flows in the network on chip as the target flow.

片上网络中未分析的流有λ4和λ5,其中λ4的优先级最高。因此,λ4为目标流。The unanalyzed flows in the network on chip include λ 4 and λ 5 , among which λ 4 has the highest priority. Therefore, λ4 is the target flow.

步骤b:在目标流的路由路径上寻找共享链路资源的高优先级流,并将其作为直接干扰流。Step b: Find a high-priority flow sharing link resources on the routing path of the target flow, and use it as a direct interference flow.

对于λ4,直接干扰流集合为 For λ 4 , the set of direct interference flows is

步骤c:在目标流的直接干扰流路径上,将与直接干扰流共享链路资源,但不与目标流共享链路资源的高优先级流确定为间接干扰流,根据间接干扰流与直接干扰流共享链路资源的相对位置将间接干扰流划分为上游间接干扰流和下游间接干扰流。Step c: On the direct interference flow path of the target flow, determine the high-priority flow that shares link resources with the direct interference flow but does not share link resources with the target flow as the indirect interference flow, according to the indirect interference flow and the direct interference flow The relative positions of flow sharing link resources divide the indirect interference flow into upstream indirect interference flow and downstream indirect interference flow.

对于λ4,间接干扰流集合为与λ1共享链路的直接干扰流为λ3,由于f31=1<f34=5,故λ1为上游间接干扰流,不存在下游间接干扰流, For λ 4 , the set of indirect interference flows is The direct interference flow sharing the link with λ 1 is λ 3 , since f 31 =1<f 34 =5, λ 1 is the upstream indirect interference flow, and there is no downstream indirect interference flow,

步骤d:根据直接干扰流、上游间接干扰流和下游间接干扰流计算最大间接干扰和最大下游间接干扰。Step d: Calculate the maximum indirect interference and the maximum downstream indirect interference according to the direct interference flow, the upstream indirect interference flow and the downstream indirect interference flow.

对于λ4,最大间接干扰为I24=0和I34=120,最大下游间接干扰为0, For λ 4 , the maximum indirect interference is I 24 =0 and I 34 =120, the maximum downstream indirect interference is 0,

步骤e:根据最大间接干扰Iji和最大下游间接干扰计算目标流的最大延时。Step e: According to the maximum indirect interference I ji and the maximum downstream indirect interference Calculate the maximum latency of the target stream.

对于λ4,最大延时为解得R4=340。For λ 4 , the maximum delay is Solving R 4 =340.

步骤f:判断目标流的最大延时是否小于或等于预设阈值,如果是则重复步骤a至f,直至片上网络中所有的流都处理完毕为止,否则表示该片上网络中实时通信不可被调度,过程结束。Step f: Determine whether the maximum delay of the target flow is less than or equal to the preset threshold, if so, repeat steps a to f until all the flows in the network on chip are processed, otherwise it means that the real-time communication in the network on chip cannot be scheduled , the process ends.

对于λ4,R4=340<D4=550,小于预设阈值,同时还有未分析的流,因此重复步骤a至f。For λ 4 , R 4 =340<D 4 =550, which is less than the preset threshold, and there is still unanalyzed flow, so steps a to f are repeated.

(5)第五次循环:(5) The fifth cycle:

步骤a:将片上网络中未分析的流中最高优先级的流确定为目标流。Step a: Determine the flow with the highest priority among the unanalyzed flows in the network on chip as the target flow.

片上网络中未分析的流有λ5,其中λ5的优先级最高。因此,λ5为目标流。There are λ 5 unanalyzed flows in the network on chip, and λ 5 has the highest priority. Therefore, λ 5 is the target flow.

步骤b:在目标流的路由路径上寻找共享链路资源的高优先级流,并将其作为直接干扰流。Step b: Find a high-priority flow sharing link resources on the routing path of the target flow, and use it as a direct interference flow.

对于λ5,直接干扰流集合为, For λ 5 , the set of direct interference flows is,

步骤c:在目标流的直接干扰流路径上,将与直接干扰流共享链路资源,但不与目标流共享链路资源的高优先级流确定为间接干扰流,根据间接干扰流与直接干扰流共享链路资源的相对位置将间接干扰流划分为上游间接干扰流和下游间接干扰流。Step c: On the direct interference flow path of the target flow, determine the high-priority flow that shares link resources with the direct interference flow but does not share link resources with the target flow as the indirect interference flow, according to the indirect interference flow and the direct interference flow The relative positions of flow sharing link resources divide the indirect interference flow into upstream indirect interference flow and downstream indirect interference flow.

对于λ5,间接干扰流集合为与λ1和λ2共享链路的直接干扰流均为λ3,由于f31=1<f35=2<f32=5,故λ1为上游间接干扰流,λ2为下游间接干扰流,下游间接干扰流集合为 For λ 5 , the set of indirect interference flows is The direct interference flow sharing the link with λ 1 and λ 2 is λ 3 , since f 31 =1<f 35 =2<f 32 =5, so λ 1 is the upstream indirect interference flow, and λ 2 is the downstream indirect interference flow , the set of downstream indirect interference flows is

步骤d:根据直接干扰流、上游间接干扰流和下游间接干扰流计算最大间接干扰和最大下游间接干扰。Step d: Calculate the maximum indirect interference and the maximum downstream indirect interference according to the direct interference flow, the upstream indirect interference flow and the downstream indirect interference flow.

对于λ5,最大间接干扰为I35=120,最大下游间接干扰为 For λ 5 , the maximum indirect interference is I 35 =120, and the maximum downstream indirect interference is

步骤e:根据最大间接干扰Iji和最大下游间接干扰计算目标流的最大延时。Step e: According to the maximum indirect interference I ji and the maximum downstream indirect interference Calculate the maximum latency of the target stream.

对于λ5,最大延时为解得R5=310。For λ 5 , the maximum delay is Solving R 5 =310.

步骤f:判断目标流的最大延时是否小于或等于预设阈值,如果是则重复步骤a至f,直至片上网络中所有的流都处理完毕为止,否则表示该片上网络中实时通信不可被调度,过程结束。Step f: Determine whether the maximum delay of the target flow is less than or equal to the preset threshold, if so, repeat steps a to f until all the flows in the network on chip are processed, otherwise it means that the real-time communication in the network on chip cannot be scheduled , the process ends.

对于λ5,R2=310<D5=260,大于预设阈值,分析结束,在此条件集合下,该片上网络中实时通信不可被调度。For λ 5 , R 2 =310<D 5 =260, greater than the preset threshold, the analysis ends, and under this set of conditions, the real-time communication in the network-on-chip cannot be scheduled.

二、采用SB模型和SLA模型分别对上述实例进行分析。2. Use the SB model and the SLA model to analyze the above examples respectively.

三、结果分析对比:3. Analysis and comparison of results:

表2Table 2

表2中列出了SB模型、SLA模型和本发明方法的分析结果,以及通过仿真得到的实验数据。仿真结果显示,SB模型和SLA模型均得到了错误的分析结果,而本发明方法正确地分析出了此条件集合下该片上网络中实时通信的可调度性。Table 2 lists the analysis results of the SB model, the SLA model and the method of the present invention, as well as the experimental data obtained through simulation. The simulation results show that both the SB model and the SLA model have obtained wrong analysis results, but the method of the invention correctly analyzes the schedulability of the real-time communication in the on-chip network under the condition set.

本领域的技术人员容易理解,以上所述仅为本发明的较佳实施例而已,并不用以限制本发明,凡在本发明的精神和原则之内所作的任何修改、等同替换和改进等,均应包含在本发明的保护范围之内。It is easy for those skilled in the art to understand that the above descriptions are only preferred embodiments of the present invention, and are not intended to limit the present invention. Any modifications, equivalent replacements and improvements made within the spirit and principles of the present invention, All should be included within the protection scope of the present invention.

Claims (7)

1.一种片上网络中实时通信的可调度性分析方法,其特征在于,包括以下步骤:1. a schedulability analysis method of real-time communication in a network on chip, is characterized in that, comprises the following steps: 步骤a:将片上网络中未分析的流中最高优先级的流确定为目标流;Step a: determining the flow with the highest priority among the unanalyzed flows in the network-on-chip as the target flow; 步骤b:在目标流的路由路径上寻找共享链路资源的高优先级流,并将其作为直接干扰流;Step b: Find a high-priority flow that shares link resources on the routing path of the target flow, and use it as a direct interference flow; 步骤c:在目标流的直接干扰流路径上,将与直接干扰流共享链路资源,但不与目标流共享链路资源的高优先级流确定为间接干扰流,根据间接干扰流与直接干扰流共享链路资源的相对位置将间接干扰流划分为上游间接干扰流和下游间接干扰流;Step c: On the direct interference flow path of the target flow, determine the high-priority flow that shares link resources with the direct interference flow but does not share link resources with the target flow as the indirect interference flow, according to the indirect interference flow and the direct interference flow The relative position of flow sharing link resources divides the indirect interference flow into upstream indirect interference flow and downstream indirect interference flow; 步骤d:根据直接干扰流、上游间接干扰流和下游间接干扰流计算最大间接干扰和最大下游间接干扰;Step d: Calculate the maximum indirect interference and the maximum downstream indirect interference according to the direct interference flow, the upstream indirect interference flow and the downstream indirect interference flow; 步骤e:根据最大间接干扰Iji和最大下游间接干扰计算目标流的最大延时;Step e: According to the maximum indirect interference I ji and the maximum downstream indirect interference Calculate the maximum delay of the target flow; 步骤f:判断目标流的最大延时是否小于或等于预设阈值,该阈值的取值是根据服务等级协议确定的,如果是则重复步骤a至f,直至片上网络中所有的流都处理完毕为止,否则表示该片上网络中的实时通信不可被调度,过程结束。Step f: Determine whether the maximum delay of the target flow is less than or equal to the preset threshold value. The value of the threshold value is determined according to the service level agreement. If so, repeat steps a to f until all the flows in the network on chip are processed Otherwise, it means that the real-time communication in the NoC cannot be scheduled, and the process ends. 2.根据权利要求1所述的可调度性分析方法,其特征在于,步骤b中,如果目标流的路由路径上存在一个或多个流,其优先级比目标流的优先级高,那么该流就被视作高优先级流。2. The schedulability analysis method according to claim 1, wherein in step b, if there are one or more flows on the routing path of the target flow, whose priority is higher than that of the target flow, then the stream is considered a high-priority stream. 3.根据权利要求1所述的可调度性分析方法,其特征在于,干扰流包括直接干扰流和间接干扰流,直接干扰流集合其中,i和j为编号,λi和λj分别为目标流和直接干扰流,分别为λi和λj的路由路径上的链路资源集合,Pi和Pj分别为λi和λj的优先级。3. The schedulability analysis method according to claim 1, wherein the interfering flows include direct interfering flows and indirect interfering flows, and the set of direct interfering flows Among them, i and j are numbers, λ i and λ j are target flow and direct interference flow respectively, and are the link resource sets on the routing path of λ i and λ j respectively, and P i and P j are the priorities of λ i and λ j respectively. 4.根据权利要求3所述的可调度性分析方法,其特征在于,步骤c中,本步骤中所提到的高优先级流,指的是如果直接干扰流的路由路径上存在一个或多个流,其优先级比直接干扰流的优先级高,那么该流就被视作高优先级流。4. The schedulability analysis method according to claim 3, wherein in step c, the high-priority flow mentioned in this step means that if there are one or more flows on the routing path of the direct interference flow A flow whose priority is higher than that of the directly interfering flow is considered a high priority flow. 5.根据权利要求4所述的可调度性分析方法,其特征在于,步骤c中,间接干扰流集合其中k为编号,λk为间接干扰流,上游间接干扰流集合下游间接干扰流集合其中,fji和fjk分别为λi和λk与λj共享的第一条链路在λj的路由路径上的编号。5. The schedulability analysis method according to claim 4, characterized in that, in step c, the set of indirect interference flows Where k is the serial number, λ k is the indirect interference flow, and the upstream indirect interference flow set downstream indirect interfering flow set Among them, f ji and f jk are respectively the numbers of the first link shared by λ i and λ k with λ j on the routing path of λ j . 6.根据权利要求5所述的可调度性分析方法,其特征在于,最大间接干扰Iji和最大下游间接干扰分别为:6. The schedulability analysis method according to claim 5, wherein the maximum indirect interference I ji and the maximum downstream indirect interference They are: Iji=Rj-Cj I ji =R j -C j II jj ii DD. == &Sigma;&Sigma; &lambda;&lambda; kk &Element;&Element; SS II ii DD. jj II kk jj 其中,Cj为λj在没有受到干扰时的最大延时,Ikj为λk对λj产生的干扰,Rj为λj的最大延时,其计算公式如下:Among them, C j is the maximum delay of λ j when it is not disturbed, I kj is the interference generated by λ k on λ j , R j is the maximum delay of λ j , and its calculation formula is as follows: 其中,Tk为λk中最小发包间隔,Ck为λk在没有受到干扰时的最大延时,Jk为λk发包间隔的时间抖动。Among them, T k is the minimum packet sending interval in λ k , C k is the maximum delay when λ k is not disturbed, and J k is the time jitter of the packet sending interval of λ k . 7.根据权利要求6所述的可调度性分析方法,其特征在于,步骤e中目标流的最大延时计算公式为:7. The schedulability analysis method according to claim 6, wherein the formula for calculating the maximum delay of the target flow in step e is:
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