From mboxrd@z Thu Jan 1 00:00:00 1970 Return-Path: Received: from mail-wi0-f181.google.com (mail-wi0-f181.google.com [209.85.212.181]) (using TLSv1 with cipher RC4-SHA (128/128 bits)) (Client CN "smtp.gmail.com", Issuer "Google Internet Authority" (verified OK)) by huchra.bufferbloat.net (Postfix) with ESMTPS id 21A09208AC5; Wed, 9 May 2012 20:18:00 -0700 (PDT) Received: by wibhn14 with SMTP id hn14so13686wib.10 for ; Wed, 09 May 2012 20:17:58 -0700 (PDT) DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=gmail.com; s=20120113; h=from:content-type:subject:date:message-id:cc:to:mime-version :x-mailer; bh=WQ+6YzKhLw8/ZbOMg0B5Ct4hjVpghMVyuctquS4gmkg=; b=FMxghJBPs4Uit2BBYLVCcborJzqrf5qNNO5JwhwjQdDwlJHYlEIiHGnJGq8J8wdbPr yH5vofQTQ6FmHqQjhDczor6WnCCHeAt89qdeTk7AfPyn3bHhF8pjnWX8+7BI8uby7hkP /00CWBNG9+0kqgsmn6quSXZB55aoOPodOiL8dfm0DJo0XcUhLq6xYbdE5U8TwBfbo/8G csQJTZ+HN/XlQzqHXZ+vsu3efOrq2gBuOHPZUr49rWGCjahue+dycth6Bkw3BBBYDnEQ LkZ4IrNbeGLQ5wc9jqhN1aJfDOrlEwatrxGaQrIANfG2qJYPsNw2R0UbDf6UM6xJeuf4 gkaA== Received: by 10.180.105.198 with SMTP id go6mr5496672wib.19.1336619878761; Wed, 09 May 2012 20:17:58 -0700 (PDT) Received: from [192.168.1.4] (xdsl-83-150-84-172.nebulazone.fi. [83.150.84.172]) by mx.google.com with ESMTPS id ca3sm176574wib.6.2012.05.09.20.17.55 (version=TLSv1/SSLv3 cipher=OTHER); Wed, 09 May 2012 20:17:57 -0700 (PDT) From: Jonathan Morton Content-Type: multipart/mixed; boundary=Apple-Mail-14--317101411 Date: Thu, 10 May 2012 06:17:47 +0300 Message-Id: <650877E1-7908-4D9A-BCB6-8F907AF32A2E@gmail.com> To: codel@lists.bufferbloat.net Mime-Version: 1.0 (Apple Message framework v1084) X-Mailer: Apple Mail (2.1084) Cc: bloat Mainlinglist Subject: [Codel] The Inverse Square Root control law X-BeenThere: codel@lists.bufferbloat.net X-Mailman-Version: 2.1.13 Precedence: list List-Id: CoDel AQM discussions List-Unsubscribe: , List-Archive: List-Post: List-Help: List-Subscribe: , X-List-Received-Date: Thu, 10 May 2012 03:18:02 -0000 --Apple-Mail-14--317101411 Content-Transfer-Encoding: quoted-printable Content-Type: text/plain; charset=us-ascii I said just now: > Now about the inverse sqrt: qualitatively, it is just a convenient = method of gradually varying the mark/drop rate in terms of a time = interval rather than a packet count interval. The longer the queue = remains overfull - controlled by the number of mark/drop events that = have occurred - the higher the marking/dropping rate gets. If the queue = then empties (and stays empty-ish for a few RTTs), the rate is reset. = Meanwhile, if the queue regularly oscillates between "full" and "empty" = states, the marking/dropping rate is remembered so that aggressive TCPs = receive the correct magnitude signal. >=20 > Now as for the *quantitative* reason behind it, it is because as the = interval between drops gets shorter, the number of increments per RTT = goes up because there is one increment per drop. If the interval is = shortened linearly per increment, that means it will in practice shorten = exponentially faster, such that the drop rate runs away faster than the = TCP can reasonably be expected to respond. This would result in = excessive drop rates and oscillatory behaviour typical of an = over-sensitive control system. By basing the drop rate on the square = root of the incremented variable, the runaway behaviour is curtailed = since the drop interval now shortens linearly per RTT. >=20 > Maybe a diagram or animation would help to clarify that last = paragraph. I'm fairly sure I can draw one. Well, here's the diagram. I produced it by simulating the first 200 or = so drop events under each control law in a spreadsheet. --Apple-Mail-14--317101411 Content-Disposition: inline; filename=InverseSqrt.pdf Content-Type: application/pdf; x-unix-mode=0644; name="InverseSqrt.pdf" Content-Transfer-Encoding: base64 JVBERi0xLjMKJcTl8uXrp/Og0MTGCjQgMCBvYmoKPDwgL0xlbmd0aCA1IDAgUiAvRmlsdGVyIC9G bGF0ZURlY29kZSA+PgpzdHJlYW0KeAGsncuOLUlyXefnK3IoCejL835MRUgCCGhAdAP8gIJaBaFa AMWBfl9rbXOL45GRdSNLTRBEV+673U5sf5ibm3t4/OvHP3/868eR/3uejx+v1/Pj//yPj3/5+N8f //CP/3b6+OXf+Id/++XjH/4bf/xP/wjvx/10vEn+8TxdX5b468fpULyzvOfp43r8ceEfrx+P0/nj dbkV6/jj9vF/P64f/137549//PPH8cf9eL7frrf6r8f1dT4Udv748z/ybKf86mll85e/fZwvmPrT +JHT9WMgr8v1x/15O3389vHnj38+/G7x6+Nz8SDr4l//+oFff5w+Fw/yneIfFH9dV8UPA/lu8dP1 vCqP+ILawCHqv358f/90v28MBGoDVX1fG1D/6fnaGAj0HQM+wflE+x3W7SdEV5kb8OsniIH7ugmo w3Ogbxt4rhvBHhSoDexV4uX4/FwHBbWBvUq8XDbNWNB3DFgHlwetsK7EQN+uxOtxPYqoxIK++wTX 83YcBWoDe5V4vekSVv2goDawV4lXvNBnA4G+Y8BKvJ1phXUlBvp2JeK7Vk9AJRb07Se4bwbTLVAb 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