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INFORMATIONAL
Network Working Group O. Bonaventure
Request for Comments: 2963 FUNDP
Category: Informational S. De Cnodder
Alcatel
October 2000
A Rate Adaptive Shaper for Differentiated Services
Status of this Memo
This memo provides information for the Internet community. It does
not specify an Internet standard of any kind. Distribution of this
memo is unlimited.
Copyright Notice
Copyright (C) The Internet Society (2000). All Rights Reserved.
Abstract
This memo describes several Rate Adaptive Shapers (RAS) that can be
used in combination with the single rate Three Color Markers (srTCM)
and the two rate Three Color Marker (trTCM) described in RFC2697 and
RFC2698, respectively. These RAS improve the performance of TCP when
a TCM is used at the ingress of a diffserv network by reducing the
burstiness of the traffic. With TCP traffic, this reduction of the
burstiness is accompanied by a reduction of the number of marked
packets and by an improved TCP goodput. The proposed RAS can be used
at the ingress of Diffserv networks providing the Assured Forwarding
Per Hop Behavior (AF PHB). They are especially useful when a TCM is
used to mark traffic composed of a small number of TCP connections.
1. Introduction
In DiffServ networks [RFC2475], the incoming data traffic, with the
AF PHB in particular, could be subject to marking where the purpose
of this marking is to provide a low drop probability to a minimum
part of the traffic whereas the excess will have a larger drop
probability. Such markers are mainly token bucket based such as the
single rate Three Color Marker (srTCM) and two rate Three Color
Marker (trTCM) described in [RFC2697] and [RFC2698], respectively.
Similar markers were proposed for ATM networks and simulations have
shown that their performance with TCP traffic was not always
satisfactory and several researchers have shown that these
performance problems could be solved in two ways:
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RFC 2963 A Rate Adaptive Shaper October 2000
1. increasing the burst size, i.e. increasing the Committed Burst
Size (CBS) and the Peak Burst Size (PBS) in case of the trTCM, or
2. shaping the traffic such that a part of the burstiness is removed.
The first solution has as major disadvantage that the traffic sent to
the network can be very bursty and thus engineering the network to
provide a low packet loss ratio can become difficult. To efficiently
support bursty traffic, additional resources such as buffer space are
needed. Conversely, the major disadvantage of shaping is that the
traffic encounters additional delay in the shaper's buffer.
In this document, we propose two shapers that can reduce the
burstiness of the traffic upstream of a TCM. By reducing the
burstiness of the traffic, the adaptive shapers increase the
percentage of packets marked as green by the TCM and thus the overall
goodput of the users attached to such a shaper.
Such rate adaptive shapers will probably be useful at the edge of the
network (i.e. inside access routers or even network adapters). The
simulation results in [Cnodder] show that these shapers are
particularly useful when a small number of TCP connections are
processed by a TCM.
The structure of this document follows the structure proposed in
[Nichols]. We first describe two types of rate adaptive shapers in
section two. These shapers correspond to respectively the srTCM and
the trTCM. In section 3, we describe an extension to the simple
shapers that can provide a better performance. We briefly discuss
simulation results in the appendix.
2. Description of the rate adaptive shapers
2.1. Rate adaptive shaper
The rate adaptive shaper is based on a similar shaper proposed in
[Bonaventure] to improve the performance of TCP with the Guaranteed
Frame Rate [TM41] service category in ATM networks. Another type of
rate adaptive shaper suitable for differentiated services was briefly
discussed in [Azeem]. A RAS will typically be used as shown in
figure 1 where the meter and the marker are the TCMs proposed in
[RFC2697] and [RFC2698].
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Result
+----------+
| |
| V
+--------+ +-------+ +--------+
Incoming | | | | | | Outgoing
Packet ==>| RAS |==>| Meter |==>| Marker |==>Packet
Stream | | | | | | Stream
+--------+ +-------+ +--------+
Figure 1. Rate adaptive shaper
The presentation of the rate adaptive shapers in Figure 1 is somewhat
different as described in [RFC2475] where the shaper is placed after
the meter. The main objective of the shaper is to produce at its
output a traffic that is less bursty than the input traffic, but the
shaper avoids to discard packets in contrast with classical token
bucket based shapers. The shaper itself consists of a tail-drop FIFO
queue which is emptied at a variable rate. The shaping rate, i.e.
the rate at which the queue is emptied, is a function of the
occupancy of the FIFO queue. If the queue occupancy increases, the
shaping rate will also increase in order to prevent loss and too
large delays through the shaper. The shaping rate is also a function
of the average rate of the incoming traffic. The shaper was designed
to be used in conjunction with meters such as the TCMs proposed in
[RFC2697] and [RFC2698].
There are two types of rate adaptive shapers. The single rate rate
adaptive shaper (srRAS) will typically be used upstream of a srTCM
while the two rates rate adaptive shaper (trRAS) will usually be used
upstream of a trTCM.
2.2. Configuration of the srRAS
The srRAS is configured by specifying four parameters: the Committed
Information Rate (CIR), the Maximum Information Rate (MIR) and two
buffer thresholds: CIR_th (Committed Information Rate threshold) and
MIR_th (Maximum Information Rate threshold). The CIR shall be
specified in bytes per second and MUST be configurable. The MIR
shall be specified in the same unit as the CIR and SHOULD be
configurable. To achieve a good performance, the CIR of a srRAS will
usually be set to the same value as the CIR of the downstream srTCM.
A typical value for the MIR would be the line rate of the output link
of the shaper. When the CIR and optionally the MIR are configured,
the srRAS MUST ensure that the following relation is verified:
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CIR <= MIR <= line rate
The two buffer thresholds, CIR_th and MIR_th shall be specified in
bytes and SHOULD be configurable. If these thresholds are
configured, then the srRAS MUST ensure that the following relation
holds:
CIR_th <= MIR_th <= buffer size of the shaper
The chosen values for CIR_th and MIR_th will usually depend on the
values chosen for CBS and PBS in the downstream srTCM. However, this
dependency does not need to be standardized.
2.3. Behavior of the srRAS
The output rate of the shaper is based on two factors. The first one
is the (long term) average rate of the incoming traffic. This
average rate can be computed by several means. For example, the
function proposed in [Stoica] can be used (i.e. EARnew = [(1-exp(-
T/K))*L/T] + exp(-T/K)*EARold where EARold is the previous value of
the Estimated Average Rate, EARnew is the updated value, K a
constant, L the size of the arriving packet and T the amount of time
since the arrival of the previous packet). Other averaging functions
can be used as well.
The second factor is the instantaneous occupancy of the FIFO buffer
of the shaper. When the buffer occupancy is below CIR_th, the output
rate of the shaper is set to the maximum of the estimated average
rate (EAR(t)) and the CIR. This ensures that the shaper buffer will
be emptied at least at a rate equal to CIR. When the buffer
occupancy increases above CIR_th, the output rate of the shaper is
computed as the maximum of the EAR(t) and a linear function F of the
buffer occupancy for which F(CIR_th)=CIR and F(MIR_th)=MIR. When the
buffer occupancy reaches the MIR_th threshold, the output rate of the
shaper is set to the maximum information rate. The computation of
the shaping rate is illustrated in figure 2. We expect that real
implementations will only use an approximate function to compute the
shaping rate.
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^
Shaping rate |
|
|
MIR | =========
| //
| //
EAR(t) |----------------//
| //
| //
CIR |============
|
|
|
|------------+---------+----------------------->
CIR_th MIR_th Buffer occupancy
Figure 2. Computation of shaping rate for srRAS
2.4. Configuration of the trRAS
The trRAS is configured by specifying six parameters: the Committed
Information Rate (CIR), the Peak Information Rate (PIR), the Maximum
Information Rate (MIR) and three buffer thresholds: CIR_th, PIR_th
and MIR_th. The CIR shall be specified in bytes per second and MUST
be configurable. To achieve a good performance, the CIR of a trRAS
will usually be set at the same value as the CIR of the downstream
trTCM. The PIR shall be specified in the same unit as the CIR and
MUST be configurable. To achieve a good performance, the PIR of a
trRAS will usually be set at the same value as the PIR of the
downstream trRAS. The MIR SHOULD be configurable and shall be
specified in the same unit as the CIR. A typical value for the MIR
will be the line rate of the output link of the shaper. When the
values for CIR, PIR and optionally MIR are configured, the trRAS MUST
ensure that the following relation is verified:
CIR <= PIR <= MIR <= line rate
The three buffer thresholds, CIR_th, PIR_th and MIR_th shall be
specified in bytes and SHOULD be configurable. If these thresholds
are configured, then the trRAS MUST ensure that the following
relation is verified:
CIR_th <= PIR_th <= MIR_th <= buffer size of the shaper
The CIR_th, PIR_th and MIR_th will usually depend on the values
chosen for the CBS and the PBS in the downstream trTCM. However,
this dependency does not need to be standardized.
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2.5. Behavior of the trRAS
The output rate of the trRAS is based on two factors. The first is
the (long term) average rate of the incoming traffic. This average
rate can be computed as for the srRAS.
The second factor is the instantaneous occupancy of the FIFO buffer
of the shaper. When the buffer occupancy is below CIR_th, the output
rate of the shaper is set to the maximum of the estimated average
rate (EAR(t)) and the CIR. This ensures that the shaper will always
send traffic at least at the CIR. When the buffer occupancy
increases above CIR_th, the output rate of the shaper is computed as
the maximum of the EAR(t) and a piecewise linear function F of the
buffer occupancy. This piecewise function can be defined as follows.
The first piece is between zero and CIR_th where F is equal to CIR.
This means that when the buffer occupancy is below a certain
threshold CIR_th, the shaping rate is at least CIR. The second piece
is between CIR_th and PIR_th where F increases linearly from CIR to
PIR. The third part is from PIR_th to MIR_th where F increases
linearly from PIR to the MIR and finally when the buffer occupancy is
above MIR_th, the shaping rate remains constant at the MIR. The
computation of the shaping rate is illustrated in figure 3. We
expect that real implementations will use an approximation of the
function shown in this figure to compute the shaping rate.
^
Shaping rate |
|
MIR | ======
| ///
| ///
PIR | ///
| //
| //
EAR(t) |----------------//
| //
| //
CIR |============
|
|
|
|------------+---------+--------+-------------------->
CIR_th PIR_th MIR_th Buffer occupancy
Figure 3. Computation of shaping rate for trRAS
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3. Description of the green RAS.
3.1. The green rate adaptive shapers
The srRAS and the trRAS described in the previous section are not
aware of the status of the meter. This entails that a RAS could
unnecessarily delay a packet although there are sufficient tokens
available to color the packet green. This delay could mean that TCP
takes more time to increase its congestion window and this may lower
the performance with TCP traffic. The green RAS shown in figure 4
solves this problem by coupling the shaper with the meter.
Status Result
+----------+ +----------+
| | | |
V | | V
+--------+ +-------+ +--------+
Incoming | green | | | | | Outgoing
Packet ==>| RAS |==>| Meter |==>| Marker |==>Packet
Stream | | | | | | Stream
+--------+ +-------+ +--------+
Figure 4. green RAS
The two rate adaptive shapers described in section 2 calculate a
shaping rate, which is defined as the maximum of the estimated
average incoming data rate and some function of the buffer occupancy.
Using this shaping rate, the RAS computes the time schedule at which
the packet at the head of the queue of the shaper is to be released.
The main idea of the green RAS is to couple the shaper with the
downstream meter so that the green RAS knows at what time the packet
at the head of its queue would be accepted as green by the meter. If
this time instant is earlier than the release time computed from the
current shaping rate, then the packet can be released at this time
instant. Otherwise, the packet at the head of the queue of the green
RAS will be released at the time instant calculated from the current
shaping rate.
3.2. Configuration of the Green single rate Rate Adaptive Shaper
(GsrRAS)
The G-srRAS must be configured in the same way as the srRAS (see
section 2.2).
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3.3. Behavior of the G-srRAS
First of all, the shaping rate of the G-srRAS is calculated in the
same way as for the srRAS. With the srRAS, this shaping rate
determines a time schedule, T1, at which the packet at the head of
the queue is to be released from the shaper.
A second time schedule, T2, is calculated as the earliest time
instant at which the packet at the head of the shaper's queue would
be colored as green by the downstream srTCM. Suppose that a packet
of size B bytes is at the head of the shaper and that CIR is the
Committed Information Rate of the srTCM in bytes per second. If we
denote the current time by t and by Tc(t) the amount of green tokens
in the token bucket of the srTCM at time t, then T2 is equal to
max(t, t+(B-Tc(t))/CIR). If B is larger than CBS, the Committed
Burst Size of the srTCM, then T2 is set to infinity.
When a packet arrives at the head of the queue of the shaper, it will
leave this queue not sooner than min(T1, T2) from the shaper.
3.4 Configuration of the Green two rates Rate Adaptive Shaper (G-trRAS)
The G-trRAS must be configured in the same way as the trRAS (see
section 2.4).
3.5. Behavior of the G-trRAS
First of all, the shaping rate of the G-trRAS is calculated in the
same way as for the trRAS. With the trRAS, this shaping rate
determines a time schedule, T1, at which the packet at the head of
the queue is to be released from the shaper.
A second time schedule, T2, is calculated as the earliest time
instant at which the packet at the head of the shaper's queue would
be colored as green by the downstream trTCM. Suppose that a packet
of size B bytes is at the head of the shaper and that CIR is the
Committed Information Rate of the srTCM in bytes per second. If we
denote the current time by t and by Tc(t) (resp. Tp(t)) the amount of
green (resp. yellow) tokens in the token bucket of the trTCM at time
t, then T2 is equal to max(t, t+(B-Tc(t))/CIR,t+(B-Tp(t))/PIR). If B
is larger than CBS, the committed burst size, or PBS, the peak burst
size, of the srTCM, then T2 is set to infinity.
When a packet arrives at the head of the queue of the shaper, it will
leave this queue not sooner than min(T1, T2) from the shaper.
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4. Assumption
The shapers discussed in this document assume that the Internet
traffic is dominated by protocols such as TCP that react
appropriately to congestion by decreasing their transmission rate.
The proposed shapers do not provide a performance gain if the traffic
is composed of protocols that do not react to congestion by
decreasing their transmission rate.
5. Example services
The shapers discussed in this document can be used where the TCMs
proposed in [RFC2697] and [RFC2698] are used. In fact, simulations
briefly discussed in Appendix A show that the performance of TCP can
be improved when a rate adaptive shaper is used upstream of a TCM.
We expect such rate adaptive shapers to be particularly useful at the
edge of the network, for example inside (small) access routers or
even network adapters.
6. The rate adaptive shaper combined with other markers
This document explains how the idea of a rate adaptive shaper can be
combined with the srTCM and the trTCM. This resulted in the srRAS
and the G-srRAS for the srTCM and in the trRAS and the G-trRAS for
the trTCM. Similar adaptive shapers could be developed to support
other traffic markers such as the Time Sliding Window Three Color
Marker (TSWTCM) [Fang]. However, the exact definition of such new
adaptive shapers and their performance is outside the scope of this
document.
7. Security Considerations
The shapers described in this document have no known security
concerns.
8. Intellectual Property Rights
The IETF has been notified of intellectual property rights claimed in
regard to some or all of the specification contained in this
document. For more information consult the online list of claimed
rights.
9. Acknowledgement
We would like to thank Emmanuel Desmet for his comments.
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10. References
[Azeem] Azeem, F., Rao, A., Lu, X. and S. Kalyanaraman, "TCP-
Friendly Traffic Conditioners for Differentiated
Services", Work in Progress.
[RFC2475] Blake S., Black, D., Carlson, M., Davies, E., Wang, Z.
and W. Weiss, "An Architecture for Differentiated
Services", RFC 2475, December 1998.
[Bonaventure] Bonaventure O., "Integration of ATM under TCP/IP to
provide services with a minimum guaranteed bandwidth",
Ph. D. thesis, University of Liege, Belgium, September
1998.
[Clark] Clark D. and Fang, W., "Explicit Allocation of Best-
Effort Packet Delivery Service", IEEE/ACM Trans. on
Networking, Vol. 6, No. 4, August 1998.
[Cnodder] De Cnodder S., "Rate Adaptive Shapers for Data Traffic
in DiffServ Networks", NetWorld+Interop 2000 Engineers
Conference, Las Vegas, Nevada, USA, May 10-11, 2000.
[Fang] Fang W., Seddigh N. and B. Nandy, "A Time Sliding
Window Three Colour Marker (TSWTCM)", RFC 2859, June
2000.
[Floyd] Floyd S. and V. Jacobson, "Random Early Detection
Gateways for Congestion Avoidance", IEEE/ACM
Transactions on Networking, August 1993.
[RFC2697] Heinanen J. and R. Guerin, "A Single Rate Three Color
Marker", RFC 2697, September 1999.
[RFC2698] Heinanen J. and R. Guerin, "A Two Rate Three Color
Marker", RFC 2698, September 1999.
[RFC2597] Heinanen J., Baker F., Weiss W. and J. Wroclawski,
"Assured Forwarding PHB Group", RFC 2597, June 1999.
[Nichols] Nichols K. and B. Carpenter, "Format for Diffserv
Working Group Traffic Conditioner Drafts", Work in
Progress.
Bonaventure & De Cnodder Informational [Page 10]
RFC 2963 A Rate Adaptive Shaper October 2000
[Stoica] Stoica I., Shenker S. and H. Zhang, "Core-stateless
fair queueuing: achieving approximately fair bandwidth
allocations in high speed networks", ACM SIGCOMM98, pp.
118-130, Sept. 1998
[TM41] ATM Forum, Traffic Management Specification, verion
4.1, 1999
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RFC 2963 A Rate Adaptive Shaper October 2000
Appendix
A. Simulation results
We briefly discuss simulations showing the benefits of the proposed
shapers in simple network environments. Additional simulation results
may be found in [Cnodder].
A.1 description of the model
To evaluate the rate adaptive shaper through simulations, we use the
simple network model depicted in Figure A.1. In this network, we
consider that a backbone network is used to provide a LAN
Interconnection service to ten pairs of LANs. Each LAN corresponds
to an uncongested switched 10 Mbps LAN with ten workstations attached
to a customer router (C1-C10 in figure A.1). The delay on the LAN
links is set to 1 msec. The MSS size of the workstations is set to
1460 bytes. The workstations on the left hand side of the figure
send traffic to companion workstations located on the right hand side
of the figure. All traffic from the LAN attached to customer router
C1 is sent to the LAN attached to customer router C1'. There are ten
workstations on each LAN and each workstation implements SACK-TCP
with a maximum window size of 64 KBytes.
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2.5 msec, 34 Mbps 2.5 msec, 34 Mbps
<--------------> <-------------->
\+---+ +---+/
-| C1|--------------+ +--------------|C1'|-
/+---+ | | +---+\
\+---+ | | +---+/
-| C2|------------+ | | +------------|C2'|-
/+---+ | | | | +---+\
\+---+ | | | | +---+/
-| C3|----------+ | | | | +----------|C3'|-
/+---+ | | | | | | +---+\
\+---+ | | | | | | +---+/
-| C4|--------+ +-+----------+ +----------+-+ +--------|C4'|-
/+---+ | | | | | | +---+\
\+---+ +---| | | |---+ +---+/
-| C5|------------| ER1 |-----| ER2 |------------|C5'|-
/+---+ +---| | | |---+ +---+\
\+---+ | | | | | | +---+/
-| C6|--------+ +----------+ +----------+ +--------|C6'|-
/+---+ |||| |||| +---+\
\+---+ |||| <-------> |||| +---+/
-| C7|------------+||| 70 Mbps |||+------------|C7'|-
/+---+ ||| 10 msec ||| +---+\
\+---+ ||| ||| +---+/
-| C8|-------------+|| ||+-------------|C8'|-
/+---+ || || +---+\
\+---+ || || +---+/
-| C9|--------------+| |+--------------|C9'|-
/+---+ | | +---+\
\+---+ | | +----+/
-|C10|---------------+ +---------------|C10'|-
/+---+ +----+\
Figure A.1. the simulation model.
The customer routers are connected with 34 Mbps links to the backbone
network which is, in our case, composed of a single bottleneck 70
Mbps link between the edge routers ER1 and ER2. The delay on all the
customer-edge 34 Mbps links has been set to 2.5 msec to model a MAN
or small WAN environment. These links and the customer routers are
not a bottleneck in our environment and no losses occurs inside the
edge routers. The customer routers are equipped with a trTCM
[Heinanen2] and mark the incoming traffic. The parameters of the
trTCM are shown in table A.1.
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Table A.1: configurations of the trTCMs
Router CIR PIR Line Rate
C1 2 Mbps 4 Mbps 34 Mbps
C2 4 Mbps 8 Mbps 34 Mbps
C3 6 Mbps 12 Mbps 34 Mbps
C4 8 Mbps 16 Mbps 34 Mbps
C5 10 Mbps 20 Mbps 34 Mbps
C6 2 Mbps 4 Mbps 34 Mbps
C7 4 Mbps 8 Mbps 34 Mbps
C8 6 Mbps 12 Mbps 34 Mbps
C9 8 Mbps 16 Mbps 34 Mbps
C10 10 Mbps 20 Mbps 34 Mbps
All customer routers are equipped with a trTCM where the CIR are 2
Mbps for router C1 and C6, 4 Mbps for C2 and C7, 6 Mbps for C3 and
C8, 8 Mbps for C4 and C9 and 10 Mbps for C5 and C10. Routers C6-C10
also contain a trRAS in addition to the trTCM while routers C1-C5
only contain a trTCM. In all simulations, the PIR is always twice as
large as the CIR. Also the PBS is the double of the CBS. The CBS
will be varied in the different simulation runs.
The edge routers, ER1 and ER2, are connected with a 70 Mbps link
which is the bottleneck link in our environment. These two routers
implement the RIO algorithm [Clark] that we have extended to support
three drop priorities instead of two. The thresholds of the
parameters are 100 and 200 packets (minimum and maximum threshold,
respectively) for the red packets, 200 and 400 packets for the yellow
packets and 400 and 800 for the green packets. These thresholds are
reasonable since there are 100 TCP connections crossing each edge
router. The parameter maxp of RIO for green, yellow and red are
respectively set to 0.02, 0.05, and 0.1. The weight to calculate the
average queue length which is used by RED or RIO is set to 0.002
[Floyd].
The simulated time is set to 102 seconds where the first two seconds
are not used to gather TCP statistics (the so-called warm-up time)
such as goodput.
A.2 Simulation results for the trRAS
For our first simulations, we consider that routers C1-C5 only
utilize a trTCM while routers C6-C10 utilize a rate adaptive shaper
in conjunction with a trTCM. All routers use a CBS of 3 KBytes. In
table A.2, we show the total throughput achieved by the workstations
attached to each LAN as well as the total throughput for the green
and the yellow packets as a function of the CIR of the trTCM used on
the customer router attached to this LAN. The throughput of the red
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packets is equal to the difference between the total traffic and the
green and the yellow traffic. In table A.3, we show the total
throughput achieved by the workstations attached to customer routers
with a rate adaptive shaper.
Table A.2: throughput in Mbps for the unshaped traffic.
green yellow total
2Mbps [C1] 1.10 0.93 2.25
4Mbps [C2] 2.57 1.80 4.55
6Mbps [C3] 4.10 2.12 6.39
8Mbps [C4] 5.88 2.32 8.33
10Mbps [C5] 7.57 2.37 10.0
Table A.3: throughput in Mbps for the adaptively shaped
traffic.
green yellow total
2Mbps [C6] 2.00 1.69 3.71
4Mbps [C7] 3.97 2.34 6.33
6Mbps [C8] 5.93 2.23 8.17
8Mbps [C9] 7.84 2.28 10.1
10Mbps [C10] 9.77 2.14 11.9
This first simulation shows clearly that the workstations attached to
an edge router with a rate adaptive shaper have a clear advantage,
from a performance point of view, with respect to workstations
attached to an edge router with only a trTCM. The performance
improvement is the result of the higher proportion of packets marked
as green by the edge routers when the rate adaptive shaper is used.
To evaluate the impact of the CBS on the TCP goodput, we did
additional simulations were we varied the CBS of all customer
routers.
Table A.4 shows the total goodput for workstations attached to,
respectively, routers C1 (trTCM with 2 Mbps CIR, no adaptive
shaping), C6 (trRAS with 2 Mbps CIR and adaptive shaping), C3 (trTCM
with 6 Mbps CIR, no adaptive shaping), and C8 (trRAS with 6 Mbps CIR
and adaptive shaping) for various values of the CBS. From this
table, it is clear that the rate adaptive shapers provide a
performance benefit when the CBS is small. With a very large CBS,
the performance decreases when the shaper is in use. However, a CBS
of a few hundred KBytes is probably too large in many environments.
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Table A.4: goodput in Mbps (link rate is 70 Mbps) versus CBS
in KBytes.
CBS 2_Mbps_unsh 2_Mbps_sh 6_Mbps_unsh 6_Mbps_sh
3 1.88 3.49 5.91 7.77
10 2.97 2.91 6.76 7.08
25 3.14 2.78 7.07 6.73
50 3.12 2.67 7.20 6.64
75 3.18 2.56 7.08 6.58
100 3.20 2.64 7.00 6.62
150 3.21 2.54 7.11 6.52
200 3.26 2.57 7.07 6.53
300 3.19 2.53 7.13 6.49
400 3.13 2.48 7.18 6.43
A.3 Simulation results for the Green trRAS
We use the same scenario as in A.2 but now we use the Green trRAS
(G-trRAS).
Table A.5 and Table A.6 show the results of the same scenario as for
Table A.2 and Table A.3 but the shaper is now the G-trRAS. We see
that the shaped traffic performs again much better, also compared to
the previous case (i.e. where the trRAS was used). This is because
the amount of yellow traffic increases with the expense of a slight
decrease in the amount of green traffic. This can be explained by
the fact that the G-trRAS introduces some burstiness.
Table A.5: throughput in Mbps for the unshaped traffic.
green yellow total
2Mbps [C1] 1.10 0.95 2.26
4Mbps [C2] 2.41 1.66 4.24
6Mbps [C3] 3.94 1.97 6.07
8Mbps [C4] 5.72 2.13 7.96
10Mbps [C5] 7.25 2.29 9.64
Table A.6: throughput in Mbps for the adaptively shaped
traffic.
green yellow total
2Mbps [C6] 1.92 1.75 3.77
4Mbps [C7] 3.79 3.24 7.05
6Mbps [C8] 5.35 3.62 8.97
8Mbps [C9] 6.96 3.48 10.4
10Mbps [C10] 8.69 3.06 11.7
The impact of the CBS is shown in Table A.7 which is the same
scenario as Table A.4 with the only difference that the shaper is now
the G-trRAS. We see that the shaped traffic performs much better
than the unshaped traffic when the CBS is small. When the CBS is
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large, the shaped and unshaped traffic performs more or less the
same. This is in contrast with the trRAS, where the performance of
the shaped traffic was slightly worse in case of a large CBS.
Table A.7: goodput in Mbps (link rate is 70 Mbps) versus CBS
in KBytes.
CBS 2_Mbps_unsh 2_Mbps_sh 6_Mbps_unsh 6_Mbps_sh
3 1.90 3.44 5.62 8.44
10 2.95 3.30 6.70 7.20
25 2.98 3.01 7.03 6.93
50 3.06 2.85 6.81 6.84
75 3.08 2.80 6.87 6.96
100 2.99 2.78 6.85 6.88
150 2.98 2.70 6.80 6.81
200 2.96 2.70 6.82 6.97
300 2.94 2.70 6.83 6.86
400 2.86 2.62 6.83 6.84
A.4 Conclusion simulations
From these simulations, we see that the shaped traffic has much
higher throughput compared to the unshaped traffic when the CBS was
small. When the CBS is large, the shaped traffic performs slightly
less than the unshaped traffic due to the delay in the shaper. The
G-trRAS solves this problem. Additional simulation results may be
found in [Cnodder]
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Authors' Addresses
Olivier Bonaventure
Infonet research group
Institut d'Informatique (CS Dept)
Facultes Universitaires Notre-Dame de la Paix
Rue Grandgagnage 21, B-5000 Namur, Belgium.
EMail: Olivier.Bonaventure@info.fundp.ac.be
URL: http://www.infonet.fundp.ac.be
Stefaan De Cnodder
Alcatel Network Strategy Group
Fr. Wellesplein 1, B-2018 Antwerpen, Belgium.
Phone: 32-3-240-8515
Fax: 32-3-240-9932
EMail: stefaan.de_cnodder@alcatel.be
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RFC 2963 A Rate Adaptive Shaper October 2000
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