Congestion Control Problem
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Transcript Congestion Control Problem
Integrated Dynamic Congestion
Controller
Andreas Pitsillides, Petros Ioannou,
Marios Lestas, Loukas Rossides
Andreas Pitsillides, Department of Computer Science, University of Cyprus
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A recent remark
‘Networks are very complex. Do not kid
yourselves otherwise.’
Debasis Mitra Senior VP Research, Bell
Labs Panel discussion at Infocom 2001
(Organiser: Ariel Orda) on Modelling of the
Shrew (beast): Quest for a ‘Model’ Network
Model
Andreas Pitsillides, Department of Computer Science, University of Cyprus
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Congestion Control Problem
• Generally accepted that:
– Network congestion control remains a critical issue given the
growing size, demand and speed (bandwidth) of the increasingly
integrated services networks.
• Despite research efforts spanning a few decades and a large number of
different schemes proposed there is no universally accepted scheme.
• Current solutions in existing networks:
– Are developed using intuition, based on non-linear simple schemes.
– Exhibit poor performance (oscillatory, chaotic behavior, unfairness).
– Increasingly become ineffective especially in the light of non-elastic
applications (multimedia) being massively deployed.
– Cannot easily scale up.
Andreas Pitsillides, Department of Computer Science, University of Cyprus
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Potential Problems of Congestion Control
•
•
•
•
•
•
•
Large scale and complex.
Distributed nature
Large feedback delays (Increasing bandwidth-delay products).
Diverse nature of carried traffic.
Diverse nature of application requirements.
Unpredictable and time varying user behavior.
Lack of appropriate dynamic models. Although small scale dynamics
are easy to describe mathematically large scale modeling is difficult.
• Expectation for guaranteed quality of service.
• Provide fairness without increasing the computational cost
dramatically.
Andreas Pitsillides, Department of Computer Science, University of Cyprus
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Existing Approaches to Congestion Control
• clear that existing TCP congestion avoidance mechanisms
(RFC2001), while necessary and powerful, not sufficient.
– Basically, limit as to how much control can be accomplished from edges of network
– Some mechanisms needed in routers to complement endpoint congestion avoidance
mechanisms. (Need for gateway control realised early; e.g. see [Jacobson, 1988],
where for future work gateway side advocated as necessary, RED, …).
• Evolutionary, for TCP/IP and earlier ATM we see
– progressive shift of controls from edges of network (initially open loop then edge
binary feedback) to network assisted. Feedback also shifting from implicit to explicit,
from pure binary to multivalued and explicit.
• TCP itself as a deterministic process creates chaos, which
generates self-similarity.
– The Chaotic Nature of TCP Congestion Control Andras Veres,
Infocom 2000 Best paper award
Andreas Pitsillides, Department of Computer Science, University of Cyprus
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The Chaotic Nature of TCP Congestion Control
Andras Veres, Infocom 2000 Best paper award
The congestion window
processes of two competing TCP
sources
The results support that traffic of a one-TCP microflow is consistent with
asymptotic second-order self-similarity with H >0:5.
Andreas Pitsillides, Department of Computer Science, University of Cyprus
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Need for modelling
• Now a hot topic.
– For example Infocom 2001 devoted a panel discussion
on Modelling of the Shrew (beast): Quest for a ‘Model’
Network Model
• Have to look at wider networks now
– e.g. packets too microscopic, Coarser grained models needed,
Resurgence of fluid models
• Modelling for control is just entered the debate
– Other measures of network control performance are starting to be
discussed
• delay, loss, and throughput are not enough. Must look at, e.g.
robustness, complexity, …
Andreas Pitsillides, Department of Computer Science, University of Cyprus
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Integrated Dynamic Congestion Controller
(Our Proposal)
• Generic scheme for handling multiple differentiated classes of traffic.
• The dynamic fluid flow model used, is developed using packet flow
conservation considerations and by matching the behaviour of an
M/M/1 queue at equilibrium.
• The control strategy is model based dynamic feedback linearization,
with proportional plus integral action and adaptation.
• The methodology is general and independent of technology, as for
example TCP/IP or ATM.
• The proposed IDCC algorithm can be classified as Network-assisted
Congestion Control and uses queue length information for feedback.
Andreas Pitsillides, Department of Computer Science, University of Cyprus
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Differentiated Services
• Following the same spirit adopted by the IETF Diff-Serv group we
define classes of aggregated behaviour:
– Premium Traffic Service (Assured Forwarding): Designed for applications
(non-elastic) with stringent delay and loss requirements on per packet
basis that can specify upper bounds on their traffic needs and required
quality of service. Any regulation of this type of traffic has to be achieved
at the connection phase (Admission Control).
– Ordinary Traffic service (Expedited Forwarding): Intended for
applications that have relaxed delay requirements and allow the rate into
the network to be controlled (elastic).
– Best effort Traffic Service: It opportunistically uses any instantaneous
leftover capacity from both Premium and Ordinary Traffic Services.
Andreas Pitsillides, Department of Computer Science, University of Cyprus
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Implementation of Control Strategy
r (t)
Allowed common rate
sent to the Ordinary
Traffic sources
xr (t )
x p (t )
Premium
(t )
Traffic p
Incoming
traffic
xref
(t)
p
Integrated Dynamic Congestion
Controller
(IDCC)
Ordinary
rin ( t )
Traffic
b (t )
Best effort
traffic
xrref (t)
C p (t )
references
C p (t )
Fixed service
rate Cserver (e.g.
155 Mb/s)
Cr (t)
Scheduler
with server
buffer
Instantaneous
left-over capacity
Andreas Pitsillides, Department of Computer Science, University of Cyprus
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Implementation of Control Strategy
• The capacity of the Premium Traffic is dynamically allocated up to a
maximum. The algorithm uses the error (queue size x p (t ) – reference
queue size xref
) as the feedback signal to calculate the capacity C p (t )
p (t )
to be allocated.The sampling interval is set to Ts .
• The Ordinary Traffic takes into account the leftover capacity,
Cr (t ) Cserver C p (t ) , uses the error between the queue length and the
reference value as the feedback signal and updates the common rate
r (t ) allocated to the Ordinary Traffic users.
• The Best Effort Traffic Service operates at the packet/cell scale and
uses any instantaneous left over capacity. In the absence of packets in
the server buffer it allows a transmission. This process however is
packet size dependent and care should be taken to account for this.
Andreas Pitsillides, Department of Computer Science, University of Cyprus
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Dynamic Model of a Single Queue
• Assumptions:
–
–
–
–
The link has a FIFO discipline and a common buffer.
The packets arrive according to a Poisson process.
Packet transmission time is proportional to packet length.
Packets are exponentially distributed with mean length 1.
• From M/M/1 queuing formulas:
– E (n) /(C )
.
• Requiring that E (n) /(C ) when x 0 :
.
x(t )
x(t )
C (t ) (t ),
1 x(t )
x(0) x0
Andreas Pitsillides, Department of Computer Science, University of Cyprus
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Validity of the Model
• Time evolution of the network system queue state obtained using
OPNET simulation (broken line) and solution of fluid flow model
(solid line). There is reasonable agreement.
700
x(t),
queue
length 600
OPNET simulation
500
400
300
200
100
0
fluid flow model solution
-100
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
time (s)
Andreas Pitsillides, Department of Computer Science, University of Cyprus
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Integrated Congestion Control Strategy
(Premium Traffic)
•
•
The allocated capacity is calculated using:
where
1 x p (t )
p x p (t ) k p (t )
C p (t ) max 0, min Cserver , p (t )
x p (t )
0
if x p (t ) 0.01
p (t ) 1.01x p (t ) 0.01 if 0.01 x p (t ) 1
1
if x p (t ) 1
•
and
k p (t ) Pr p x p (t )
•
•
0 k p (0) k p
Pr[.] is a projection operator.
a and δ are design constants affecting the convergence rate and performance.
Andreas Pitsillides, Department of Computer Science, University of Cyprus
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Integrated Congestion Control Strategy
(Ordinary Traffic)
• The capacity allocated to the outgoing Ordinary Traffic is what is left
after allocation to the Premium Traffic:
Cr (t ) max 0, Cserver C p (t )
• Using feedback linearization we choose the controlled traffic input rate
as:
r (t ) max 0, min Cr (t ), Cr (t )
xr ( t )
r xr ( t )
1 xr ( t )
• r is a design constant.
Andreas Pitsillides, Department of Computer Science, University of Cyprus
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Simulation Topology
•
Simulation Network Model:
•
•
•
•
Different link delays chosen to emulate LAN and WAN (RTT=120msec)
Sources are on-off (period adjusted to simulate different loading conditions).
VBR and CBR sources were also used.
Different sampling periods (0.085-1 msec) were also used.
Andreas Pitsillides, Department of Computer Science, University of Cyprus
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Simulation results
•
Switch 2 (bottleneck link): Time evolution of the Ordinary Traffic queue
length for a LAN and a WAN and changing reference queue values and for
different sampling times:
Ts = 0.085 - 1 msec
Andreas Pitsillides, Department of Computer Science, University of Cyprus
Ts = 0.085 - 1 msec
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Switch 2(bottleneck link): Time evolution of the Premium Traffic queue
length for a LAN and a WAN and changing reference queue values:
Andreas Pitsillides, Department of Computer Science, University of Cyprus
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Typical behaviour of the time evolution of the common calculated
allowed cell rate at Switch 2 for a LAN and a WAN configuration.
Andreas Pitsillides, Department of Computer Science, University of Cyprus
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Typical behaviour of the time evolution of the transmission rate of
controlled sources using switch 2 for LAN and WAN configurations
Andreas Pitsillides, Department of Computer Science, University of Cyprus
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Controller Evaluation
•
•
•
•
•
•
The system exhibits good transient behaviour
A fast speed of response is observed in all scenarios.
There are no high overshoots or undershoots.
No cyclic behaviour is observed.
Reasonable insensitivity to different control periods was exhibited.
There is not much degradation in performance due to longer feedback
delays.
• In the case of ordinary traffic a sizeable offset in the queue length was
observed for each reference setting. This can be avoided by
introducing integrating action. This, however might add unnecessary
complexity.
Andreas Pitsillides, Department of Computer Science, University of Cyprus
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Fairness in Ordinary Traffic
• The Network test configuration used in order to investigate whether
the algorithm provides fairness among Ordinary Traffic sources is
shown below. All sources are assumed to be saturated:
Andreas Pitsillides, Department of Computer Science, University of Cyprus
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Fairness in Ordinary Traffic
• The bandwidth allocation of Ordinary Traffic Sources for LAN and
WAN environments are shown below. All sources are dynamically
allocated their fair share at all times with no discrimination (for
example due to their geographic proximity to the bottleneck switch).
3-hop
3 hop
1 hop-a
1 hop-a
1 hop-a
3-hop
1 hop-a
3-hop
1 hop-b
1 hop-a
1 hop-b
3-hop
1 hop-c
Andreas Pitsillides, Department of Computer Science, University of Cyprus
3 hop
1 hop-a
3 hop
1 hop-b
1 hop-b
3 hop
1 hop-c
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Future Work
• Investigate the way this scheme interacts with
TCP:
– The scheme will be tested on the ns2 Simulator in a
Diff-Serv environment with other interacting TCP
sources.
– Will it be TCP friendly?
– TCP applications utilizing existing congestion controls
will probably induce high frequency components in the
queue size of the congested switch. These, need to
filtered out to avoid oscillations.
Andreas Pitsillides, Department of Computer Science, University of Cyprus
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Future Work (cont.)
• Investigate the way the network and the sources
manipulate the aggregate sending rate calculated, to send
the right number of packets:.
– What type of feedback signal is used (implicit, explicit)? Explicit
signals add to the packet overhead.
– How do the sources react to this information? Is a rate based or a
window based protocol used? In the latter case how is the
conversion made?
– It is probable that the aggregate sending rate will need to be
normalized to avoid oscillations and underutilization of the
network. These oscillations were actually observed in the WAN
test environment.
Andreas Pitsillides, Department of Computer Science, University of Cyprus
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Future Work (cont.)
• Investigate if other models are more appropriate in some
scenarios:
– Higher order models can be evaluated.
– suggested model based on Poisson arrivals. However, has been
shown that Internet Traffic sometimes exhibits self-similar
behaviour. This makes the Poisson assumption inapplicable.
• Choose the optimal value of the sampling frequency.
– Higher sampling frequencies provide better control.
– Smaller sampling frequencies reduce computational cost.
– Optimal choice directly related to feedback delay and settling time.
• Calculate the controller design parameters to optimise the
system performance.
Andreas Pitsillides, Department of Computer Science, University of Cyprus
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University of Cyprus (UCY)
Computer Science Department
Networks Group
• Faculty:
– Associate Prof. Andreas Pitsillides.
• Students:
–
–
–
–
Mr. Loukas Rossides.
Mr. Giannos Mylonas.
Mr. Chrysostomos Chrysostomou.
Mr. Marios Lestas.
• Main collaborators:
– Prof. Petros Ioannou (University of Southern California).
– Ahmet Sekercioglu (Monash University, Melbourne, Australia).
– Athanasios Vasilakos (ICS-FORTH, Greece).
Andreas Pitsillides, Department of Computer Science, University of Cyprus
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Supplementary material
Andreas Pitsillides, Department of Computer Science, University of Cyprus
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Congestion
• Definition:
– Network state in which performance degrades due to saturation of network
resources (communication links, networks switches ,processor cycles and
memory buffers).
• Congestion Control:
– Refers to the set of actions taken by the network to minimize intensity,
spread and duration of congestion.
• Optimal control of networks of queues:
– Well-known, much studied and notoriously difficult problem, even for
simplest of cases. E.g. Papademetriou and Pertsekas show problem of
optimally controlling simple network of queues with simple arrival and
service distributions and multiple customer classes is complete for
exponential time (i.e provably intractable).
Andreas Pitsillides, Department of Computer Science, University of Cyprus
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Classification of Congestion Control Schemes
•
End-to-end vs Hop-by-hop.
(Where are the control actions taken?)
End-to-end Level
•
Closed loop vs Open loop.
Controller
•
•
•
Hop Level
Controller
System
System
Window vs Rate based control
Explicit vs Implicit
(What type of feedback signals are used?)
Reactive vs Preventive.
Andreas Pitsillides, Department of Computer Science, University of Cyprus
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Congestion can be Sensed or Predicted by:
•
Packet Loss
– Sensed by the queue as an overflow.
– Sensed by destination (sequence number) and acknowledged to a user.
– Sensed by sender due to lack of acknowledgement (timeout mechanism).
•
Packet Delay
– Inferred by the queue size.
– Observed by destination and acknowledged to user (e.g time stamps).
– Observed by sender, e.g by packet probe to measure RTT.
•
Loss of Throughput
– Observed by the sender queue size (waiting time in queue).
•
Other Signals:
–
–
–
–
Queue size.
Available Bandwidth.
Mark rate.
Calculated signals
Andreas Pitsillides, Department of Computer Science, University of Cyprus
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