sr c0 c3 sr c) Throttled outputs Figure F.1 Bridge design models

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WHITE PAPER CONTRIBUTION TO 0 0 0 0 0 Annex F (informative) Bursting and bunching considerations F. Topology scenarios F.. Bridge design models The sensitivity of bridges to bursting and bunching is highly dependent on the queue management protocols within the bridge. To better understand these effects, a few bridge design models are evaluated, as illustrated in Figure F.. c c c a) Input-queues c c c b) Output-queues sr c sr c c) Throttled outputs Figure F. Bridge design models The input-queue design (see Figure F.-a) assumes that frames are queued in receive buffers. The transmitter accepts frames are from the receivers, based on service-class precedence. In the case of a tie (two receivers can provide same-class frames), the lowest numbered receive port has precedence. This model best illustrates nonlinear bunching problems. The output-queue design (see Figure F.-b) assumes that received frames are queued in transmit buffers. Within each service class, frames are forwarded in FIFO order. This model best illustrates linear bunching problems (for steady flows), but also exhibits nonlinear bunching (for nonsteady flows). The throttled-output design (see Figure F.-c) is an enhanced output-queue model, with an output shaper to limit transmission rates. The purpose of the output shaper is to ensure sufficient nonreserved bandwidth for less time-sensitive control and monitoring purposes. The model illustrates how shapers can worsen the output-queue bridge s bunching behaviors. The retimed-outputs design (see Figure F.-d) reduces (and can eliminate) bunching problems by detecting late-arrival frames at the receivers. Several synchronous-cycle buffers are provided at the transmitters, to compensate for transmission delays in the received data. sr c sr sync sr sync sr c sync sr c c sr sync d) Retimed outputs This is an unapproved working paper, subject to change.

RESIDENTIAL ETHERNET (RE) F.. Three-source hierarchical topology A hierarchical topology best illustrate potential problems with bunching, as illustrated in Figure F.. Traffic from talkers {,a,a} flows into bridge B. Bridge B concentrates traffic received from three talkers, with the cumulative b traffic sent to c. Identical traffic flows are assumed at bridge ports {,c,c}, although only one of these sources is illustrated. Bridges {C,D,E,F,G,H} behave similarly. talkers a a b b b c c c d d d F.. Six-source hierarchical topology e0 e e e B C D E F G H Figure F. Three-source topology Spreading the traffic over multiple sources, as illustrated in Figure F., exasperates bursting and bunching problems. Traffic from talkers {,a,a,a,a,a} flows into ports on bridge B. Bridge B concentrates traffic received from six talkers, with the cumulative b traffic sent to c. Identical traffic flows are assumed at bridge ports {,c,c,c,c,c}, although only one of these sources is illustrated. Bridges {C,D,E,F,G,H} behave similarly. talkers a a a a a b b b c c c d d d e0 e e e f0 f f f g0 g g g h0 h h h b c d e f g h b c d e f g h b c d e f g h B C D E F G H f0 f f f Figure F. Six-source topology g0 g g g h0 h h h listener i i listener 0 0 0 0 0 This is an unapproved working paper, subject to change.

WHITE PAPER CONTRIBUTION TO 0 0 0 0 0 F. Bursting considerations F.. Three-source bursting scenario A troublesome bursting scenario on a 00 Mb/s link can occur when small bandwidth streams coincidentally provide their infrequent 00 byte frames concurrently, as illustrated in Figure F.. Even though the cumulative bandwidths are considerably less than the capacity of the 00 Mb/s links, significant delays are incurred when passing through multiple bridges. a a b b b c c c d d d 0 µs.. 0 0 interfering flow measured flow Figure F. Three-source bunching timing; input-queue bridges 0. This is an unapproved working paper, subject to change.

RESIDENTIAL ETHERNET (RE) F... Cumulative bunching latencies The cumulative worst-case latencies implied by coincidental bursting are listed in Table F. and plotted in Figure F.. The values within this table are computed based on Equation F.. delay[n] = mtu ( n + p n ) Where: mtu (maximum transfer unit) is the maximum frame size n is the number of hops from the source p is the number of receive ports in each bridge. 000 00 0 ms Topology -source (see F...) -source (see F...) Units Table F. Cumulative bursting latencies Measurement point A B C D E F G H mtu 0 ms.0.0.. 0... mtu 00 ms.0.0.. 00 00 a) -source coincidental burst latency 00000 0000 Figure F. Cumulative coincidental burst latencies Conclusion: The classa traffic bandwidths should be enforced over a time interval that is on the order of an MTU size (0µs), so as to avoid excessive delays caused by coincidental back-to-back large-block transmissions. 000 00 0 ms (F.) A B C D E F G H hops b) -source coincidental burst latency 0 0 0 0 0 This is an unapproved working paper, subject to change.

WHITE PAPER CONTRIBUTION TO 0 0 0 0 0 F.. Bunching scenarios; input-queue bridges F... Three-source bunching; input-queue bridges To illustrate the effects of worst case bunching on input-queue bridges, specific flows are illustrated in Figure F.. Bridge ports {,b,b} concentrates traffic from three talkers; one third of the cumulative traffic is forwarded through b. Each stream consumes % of the link bandwidth; % is available for asynchronous traffic. For clarity, the traces for input traffic on ports {,c,c},,{e0,e,e}, only illustrate the passing-through listener traffic; the remainder of the traffic is assumed to be routed elsewhere. a a b b b c c c d d d e0 e e e e. 0 µs.... 0..0. Figure F. Three-source bunching; input-queue bridges interfering flow measured flow 0 0 0 0 0 0 0 0 This is an unapproved working paper, subject to change.

RESIDENTIAL ETHERNET (RE) F... Six-source bunching; input-queue bridges To better illustrate the effects of worst case bunching on input-queue bridges, specific flows are illustrated in Figure F.. Bridge ports {,b,b,b,b,b} concentrates traffic from three talkers; one sixth of the cumulative traffic is forwarded through b. Each of six streams consumes.% of the link bandwidth, so that % is available for asynchronous traffic. For clarity, the traces for input traffic on ports {,c,c,c,c,c} only illustrate passing-through traffic; the remainder of the traffic is routed elsewhere. a a a a a b b b b b b c c c c c c c 0 µs.. 0. Figure F. Six source bunching timing; input-queue bridges interfering flow interfering flow interfering flow interfering flow measured flow 0.0 0 0 0 0 0 This is an unapproved working paper, subject to change.

WHITE PAPER CONTRIBUTION TO 0 0 0 0 0 F... Cumulative bunching latencies, input-queue bridge The cumulative worst-case latencies implied by coincidental bursting are listed in Table F. and plotted in Figure F.. Topology -source (see F...) -source (see F...) Table F. Cumulative bunching latencies; input-queue bridge The first few numbers are generated using graphical techniques, as illustrated in Figure F... The following numbers are estimated, based on Equation F.. delay[n+] = (mtu + delay[n]) (/( 0. (p-)/p)) Where: mtu (maximum transfer unit) is the maximum frame size rate is the fraction of the bandwidth reserved for class A traffic, assumed to be 0. n is the number of hops from the source p is the number of receive ports in each bridge. 000 00 0 ms Units Measurement point A B C D E F G H cycles 0..... (0.) (.) (.) ms 0.0 0..0.....0 cycles 0...0 (.) (0.) (.) () 0 ms 0.0 0.....0. a) -source input-queue bunching latency Figure F. Cumulative bunching latencies; input-queue bridge Conclusion: A FIFO based output-queue bridge should be used. Alternatively (if input queuing is used), received frames should be time-stamped to ensure FIFO like forwarding. 000 00 0 ms (F.) b) -source input-queue bunching latency This is an unapproved working paper, subject to change.

RESIDENTIAL ETHERNET (RE) F.. Bunching topology scenarios; output-queue bridges F... Three-source bunching timing; output-queue bridges To illustrate the effects of worst case bunching, specific flows are illustrated in Figure F.. Bridge ports {,b,b} concentrates traffic from three talkers; one third of the cumulative traffic is forwarded through b. Each stream consumes % of the link bandwidth; % of the link bandwidth is available for asynchronous traffic. For clarity, the traces for input traffic on ports {,b,b},,{e0,e,e} only illustrate the passing-through listener traffic; the remainder of the traffic is assumed to be routed elsewhere. a a b b b c c c d d d e0 e e e 0 µs..0 0.0.0 0 Figure F. Three-source bunching; output-queue bridges 0 interfering flow measured flow 0 0 0 0 0 This is an unapproved working paper, subject to change.

WHITE PAPER CONTRIBUTION TO 0 0 0 0 0 F... Six-source bunching; output-queue bridges To better illustrate the effects of worst case bunching, specific flows are illustrated in Figure F.0. Bridge ports {,b,b,b,b,b} concentrates traffic from six talkers; one sixth of the cumulative traffic is forwarded through port b. Each of six streams consumes.% of the link bandwidth; % of the link bandwidth is available for asynchronous traffic. For clarity, the traces for input traffic on ports {,c,c,c,c,c} and {,d,d,d,d,d} only illustrate passing-through traffic; the remainder of the traffic is routed elsewhere. a a b b b c c c d d d 0 µs..00. Figure F.0 Six source bunching; output-queue bridges interfering flow interfering flow interfering flow interfering flow measured flow 0 0 This is an unapproved working paper, subject to change.

RESIDENTIAL ETHERNET (RE) F... Cumulative bunching latencies; output-queue bridge The cumulative worst-case latencies implied by coincidental bursting are listed in Table F. and plotted in Figure F....0 0.ms Topology -source (see F...) -source (see F...) Table F. Cumulative bunching latencies; output-queue bridge Units Measurement point B C D E F G H I cycles..... ms 0.0 0. 0. 0.. cycles...00. ms 0.0 0...0 a) -source output-queue bunching latency Figure F. Cumulative bunching latencies; output-queue bridge Conclusion: For steady-state classa traffic, acceptably small linear latencies are introduced by output-queue bridges on % loaded links. Unfortunately, the nonsteady-state nature of variable-rate traffic makes this conclusion suspect (see F..)...0 0.ms b) -source output-queue bunching latency 0 0 0 0 0 This is an unapproved working paper, subject to change.

WHITE PAPER CONTRIBUTION TO 0 0 0 0 0 F.. Bunching topology scenarios; variable-rate output-queue bridges F... Three-source bunching; variable-rate output-queue bridges To illustrate the effects of worst case bunching, specific flows are illustrated in Figure F.. Bridge ports {,b,b} concentrates traffic from three talkers; one third of the cumulative traffic is forwarded through port b. Each stream consumes % of the link bandwidth; % of the link bandwidth is available for asynchronous traffic. For clarity, the traces for input traffic on ports {,c,c},,{e0,e,e} only illustrate the passing-through listener traffic; the remainder of the traffic is assumed to be routed elsewhere. a a b b b c c c d d d e0 e e e 0 µs. 0. 0. 0. 0 interfering flow measured flow Figure F. Three-source bunching; variable-rate output-queue bridges This is an unapproved working paper, subject to change.

RESIDENTIAL ETHERNET (RE) F... Six-source bunching; variable-rate output-queue bridges To better illustrate the effects of worst case bunching, specific flows are illustrated in Figure F.. Bridge ports {,b,b,b,b,b} concentrates traffic from six talkers; one sixth of the cumulative traffic is forwarded through port b. Each of six streams consumes.% of the link bandwidth; % of the link bandwidth is available for asynchronous traffic. For clarity, the traces for input traffic on ports {,c,c,c,c,c}, {,d,d,d,d,d}, and {e0,e,e,e,e,e} only illustrate passing-through traffic; the remainder of the traffic is routed elsewhere. a a b b b c c c d d d e0 e e e 0 µs.0 interfering flow interfering flow interfering flow interfering flow measured flow Figure F. Six source bunching; variable-rate output-queue bridges.0 0 0.. 0 0 0 0 0 This is an unapproved working paper, subject to change.

WHITE PAPER CONTRIBUTION TO 0 0 0 0 0 F... Cumulative bunching latencies; variable-rate output-queue bridge The cumulative worst-case latencies implied by coincidental bursting are listed in Table F. and plotted in Figure F.. 00 0 ms Table F. Cumulative bunching latencies; variable-rate output-queue bridge Topology -source (see F...) -source (see F...) Units Measurement point A B C D E F G H cycles 0.... 0. ms 0.0 0. 0. 0.0. cycles 0..0.0.. ms 0.0 0. 0... a) -source variable-rate bunching latency b) -source variable-rate bunching latency Figure F. Cumulative bunching latencies; variable-rate output-queue bridge Conclusion: For nonsteady-state classa traffic, significant expediential latencies are introduced by output-queue bridges on % loaded links. Unfortunately, throttled outputs further exasperates this latency (see F..). 00 0 ms This is an unapproved working paper, subject to change.

RESIDENTIAL ETHERNET (RE) F.. Bunching topology scenarios; throttled-rate output-queue bridges F... Three-source bunching; throttled-rate output-queue bridges To illustrate the effects of worst case bunching, specific flows are illustrated in Figure F.. Bridge ports {,b,b} concentrates traffic from three talkers; one third of the cumulative traffic is forwarded through port b. Each stream consumes % of the link bandwidth; % of the link bandwidth is available for asynchronous traffic. For clarity, the traces for input traffic on ports {,c,c}, {,d,d}, and {e0,e,e} only illustrate the passing-through listener traffic; the remainder of the traffic is assumed to be routed elsewhere. a a b b b c c c d d d e0 e e e 0 µs.00 0 0 Figure F. Three-source bunching; throttled-rate output-queue bridges.. 0 0 0 0. interfering flow measured flow 0 0 0 0 0 This is an unapproved working paper, subject to change.

WHITE PAPER CONTRIBUTION TO 0 0 0 0 0 F... Six-source bunching; throttled-rate output-queue bridges To better illustrate the effects of worst case bunching, specific flows are illustrated in Figure F.. Bridge ports {,b,b,b,b,b} concentrates traffic from six talkers; one sixth of the cumulative traffic is forwarded through port b. Each of six streams consumes.% of the link bandwidth; % of the link bandwidth is available for asynchronous traffic. For clarity, the traces for input traffic on ports {,c,c,c,c,c},,{e0,e,e,e,e,e} only illustrate passing-through traffic; the remainder of the traffic is routed elsewhere. a a b b b c c c d d d 0 µs. interfering flow interfering flow interfering flow interfering flow measured flow 0.0 (...) 0 0 Figure F. Six source bunching; throttled-rate output-queue bridges. This is an unapproved working paper, subject to change.

RESIDENTIAL ETHERNET (RE) F... Cumulative bunching latencies; throttled-rate output-queue bridge The cumulative worst-case latencies implied by coincidental bursting are listed in Table F. and plotted in Figure F.. 00 0 ms Table F. Cumulative bunching latencies; throttled-rate output-queue bridge Topology -source (see F...) -source (see F...) Units Measurement point A B C D E F G H cycles 0..00... ms 0.0 0. 0... cycles 0.... ms 0.0 0...0 a) -source throttled-rate output-queue latency Figure F. Cumulative bunching latencies; throttled-rate output-queue bridge Conclusion: On large topologies, the classa traffic latencies can accumulate beyond acceptable limits. Some form of receiver retiming may therefore be desired. 00 0 ms b) -source throttled-rate output-queue latency 0 0 0 0 0 This is an unapproved working paper, subject to change.

WHITE PAPER CONTRIBUTION TO 0 0 0 0 0 F.. Bunching topology scenarios; classa throttled-rate output-queue bridges The extent of bunching extent is worst when large classc frames are present. However, bunching can also occur in the absence of large classc frames, as described in the remainder of this subannex. F... Three-source bunching; classa throttled-rate output-queue bridges To illustrate the effects of worst case bunching, specific flows are illustrated in Figure F. and Figure F.. Bridge ports {,b,b} concentrates traffic from three talkers; one third of the cumulative traffic is forwarded through port b. Each stream consumes % of the link bandwidth; % of the link bandwidth is available for asynchronous traffic. For clarity, the traces for input traffic on ports {,c,c}, {,d,d}, and {e0,e,e} only illustrate the passing-through listener traffic; the remainder of the traffic is assumed to be routed elsewhere. a a b b b c d d d d d e0 e e e 0 µs.00.0 0.0 0 interfering flow measured flow Figure F. Three-source bunching; throttled-rate output-queue bridges. This is an unapproved working paper, subject to change.

RESIDENTIAL ETHERNET (RE) f0 f f f g0 g g g h0 h h h 0 0.00 0 0. 0 0. Figure F. Three-source bunching; throttled-rate output-queue bridges 0 0 0 0 0 This is an unapproved working paper, subject to change.

WHITE PAPER CONTRIBUTION TO 0 0 0 0 0 F... Six-source bunching; classa throttled-rate output-queue bridges To better illustrate the effects of worst case bunching, specific flows are illustrated in Figure F.0. Bridge ports {,b,b,b,b,b} concentrates traffic from six talkers; one sixth of the cumulative traffic is forwarded through port b. Each of six streams consumes.% of the link bandwidth; % of the link bandwidth is available for asynchronous traffic. For clarity, the traces for input traffic on ports {,c,c,c,c,c},,{,d,d,d,d,d} only illustrate passing-through traffic; the remainder of the traffic is routed elsewhere. a a b b b c c c d d d e0 e e e 0 µs.. interfering flow interfering flow interfering flow interfering flow measured flow. 0 Figure F.0 Six source bunching; classa throttled-rate output-queue bridges 0.0 0 This is an unapproved working paper, subject to change.

RESIDENTIAL ETHERNET (RE) F... Cumulative bunching latencies; classa throttled-rate output-queue bridge The cumulative worst-case latencies implied by coincidental bursting are listed in Table F. and plotted in Figure F.. Table F. Cumulative bunching latencies; classa throttled-rate output-queue bridge 0 ms Topology -source (see F...) -source (see F...) Units Measurement point A B C D E F G H cycles.00.00...00.. ms 0. 0. 0. 0.... cycles....0 ms 0. 0. 0.. a) -source throttled-rate output-queue latency Figure F. Cumulative bunching latencies; classa throttled-rate output-queue bridge Conclusion: On large topologies, the classa traffic latencies can accumulate beyond acceptable limits, even in the absence of conflicting lower-class traffic. Some form of receiver retiming may therefore be desired, even on higher speed links where the size of the MTU (in time) becomes much smaller than an assumed khz cycle time. 0 ms b) -source throttled-rate output-queue latency 0 0 0 0 0 This is an unapproved working paper, subject to change.