Hi Rong, 

Thank you for pointing to Figure 8 in your HPSR 2013 paper.

At first glance it exemplifies well the stability vs. variability of the 
equilibrium point established by the two schemes as the traffic intensity 
(number of concurrent flows) changes.

However, there are two things I cannot explain after a closer look:

1. At the very beginning the PIE curve shows a delay peak at about 240ms. With 
2MB buffer size and 100Mbps rate, the maximum delay I would expect is 160ms (as 
indeed shown by the RED curve). Do you know where the extra 80ms come from in 
the PIE case? It really looks like it is a single delay sample, so maybe it is 
just an issue with the initialization of the variables used in the delay 
measurements?

2. If I understand correctly the RED configuration used for the plot, min_th is 
set at 32ms (20% of 2MB) and max_th is set at 128ms (80%). In the plot the RED 
delay rightly oscillates within this two bounds. However, if I compute the 
theoretical packet drop rate p using the formula  p = (1.22 * MSS / BW * RTT)^2 
in the case with 50 flows (corresponding to the 100s-150s interval in the 
experiment) I get a drop rate value around 0.5%. Since you used a max_p of 0.1 
(or 10%), your delay plot places the drop probability well above 5%. With the 
theoretical value of 0.5% from the formula the average delay would be only 1/20 
of the way between min_th and max_th, or about 37ms, much lower than the almost 
100ms of the plot. I ran an ns2 simulation with the parameters of the paper, 
getting steady-state average and maximum delays of 36ms and 47ms and a drop 
rate of 0.29% (with PIE I get 20.1ms, 39.4ms, and 0.38%). The only way I can 
explain the larger RED delay of your plot is with a lower value
  of max_p (e.g., with max_p = 1% instead of 10% my simulation yields 62.3ms 
and 71.9ms for the average and maximum delay, with 0.2% average drop rate; the 
delay is still not at the level of Figure 8, but getting closer). Note that 
with thresholds tuned around the 20ms delay target of PIE (min_th = 16ms, 
max_th = 128ms) and max_p = 5%, the simulation yields Avg/Max delay of 
17.8ms/29.5ms, pretty much the same as PIE. Overall, can you explain the 
discrepancy between expected and plotted delay for RED in Figure 8?

Thank you,

Andrea

-----Original Message-----
From: Rong Pan (ropan) [mailto:[email protected]] 
Sent: Thursday, August 13, 2015 9:56 PM
To: Francini, Andrea (Andrea); Roland Bless; Jonathan Morton
Cc: [email protected]
Subject: Re: [aqm] PIE vs. RED

>>That's my point (and I believe also Roland's): In a direct experimental
>>comparison, this good property of PIE would be better emphasized against
>>a >>configuration of RED where the queue length thresholds are not
>>grossly oversized.


In our PIE paper (attached), Figure 8 shows the max latency of RED is
around 100ms (which is very reasonable). PIE controls latency regardless
of traffic intensity. It is the plot that you want.

Thanks,

Rong

On 8/13/15, 5:25 PM, "Francini, Andrea (Andrea)"
<[email protected]> wrote:

>> Delayed-based RED still would associate latency with drop probability:
>> drop probability will only go up when queueing latency goes up. A higher
>> drop probability can only be achieved via higher queueing latency.  As
>>we
>> proved in PIE, the two can be made independent. We can maintain low
>> latency regardless of traffic intensity.
>> 
>> Rong
>
>That's my point (and I believe also Roland's): In a direct experimental
>comparison, this good property of PIE would be better emphasized against
>a configuration of RED where the queue length thresholds are not grossly
>oversized.
>
>By the way, Global Synchronization Protection (GSP) also drops/marks at a
>fixed delay level independently of the drop/mark rate that keeps the
>queue stable. The draft that describes it
>(https://tools.ietf.org/id/draft-lauten-aqm-gsp-02.txt) is still active.
>I have seen only marginal comments about GSP. Any specific reason why?
>
>Andrea 
>
>
>On 8/13/15, 4:07 PM, "aqm on behalf of Francini, Andrea (Andrea)"
><[email protected] on behalf of [email protected]>
>wrote:
>
>>To second Roland's point, the advantage of PIE over RED should not be
>>entirely in the use of delay-based thresholds instead of queue-length
>>ones, otherwise it could be argued that a version of RED with delay-based
>>thresholds is not too hard to design (Wolfram easily did it for his GSP
>>scheme). 
>>
>>With such a RED version in place, hopefully PIE would still show better
>>performance, so the same superiority should also emerge when the
>>queue-length thresholds of conventional RED are reasonably tuned around
>>the traffic scenario of each experiment.
>>
>>Andrea
>>
>>-----Original Message-----
>>From: aqm [mailto:[email protected]] On Behalf Of Roland Bless
>>Sent: Thursday, August 13, 2015 6:39 PM
>>To: Jonathan Morton
>>Cc: [email protected]
>>Subject: Re: [aqm] PIE vs. RED
>>
>>Hi Jonathan,
>>
>>Am 13.08.2015 um 19:35 schrieb Jonathan Morton:
>>> In the real world, the hardware buffer size is rarely matched to the
>>> real BDP.  There are several reasons for this, but a couple of
>>> fundamental ones are:
>>> 
>>> - BDP varies with RTT, which is in general different for flows
>>> simultaneously using the same link/queue to reach different remote
>>> hosts, and therefore cannot be accurately predicted by a hardware
>>>vendor.
>>
>>Yep, sure. My point was not to promote setting the buffers according to
>>"the BDP", but rather arguing that one should use comparable target
>>settings when comparing AQMs, see below...
>>
>>> - Frequently, the queue size is tuned for the maximum capability of the
>>> device and a pessimistic value for RTT, but the same hardware is more
>>> often used (at least initially) at lower link speeds and thebqueue size
>>> is not adjusted to compensate.  Eg. DOCSIS 2 cable but DOCSIS 3 modem,
>>> Ethernet NIC or switch capable of 1000Mbps but operating at 100 or even
>>> 10, 802.11ac wifi struggling with a marginal 802.11g link...
>>> 
>>> Thus substantially oversized raw buffers are quite normal.  It is AQM's
>>> job to keep the *actual* queue occupancy low; with a properly
>>> functioning AQM, the effects of an oversized raw queue are nil.
>>
>>That's correct. However, IMHO if one compares AQMs one should set/tune
>>the individual parameters of the AQMs so that they achieve a similar
>>target value (and not more than an order of magnitude apart).
>>This is probably relevant for the aqm eval guidelines, but
>>I'll come up with a detailed review for the draft within the next days...
>>
>>Regards,
>> Roland
>>
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