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rfc:rfc6323

Internet Engineering Task Force (IETF) G. Renker Request for Comments: 6323 G. Fairhurst Updates: 4342, 5622 University of Aberdeen Category: Standards Track July 2011 ISSN: 2070-1721

                     Sender RTT Estimate Option
        for the Datagram Congestion Control Protocol (DCCP)

Abstract

 This document specifies an update to the round-trip time (RTT)
 estimation algorithm used for TFRC (TCP-Friendly Rate Control)
 congestion control by the Datagram Congestion Control Protocol
 (DCCP).  It updates specifications for the CCID-3 and CCID-4
 Congestion Control IDs of DCCP.
 The update addresses parameter-estimation problems occurring with
 TFRC-based DCCP congestion control.  It uses a recommendation made in
 the original TFRC specification to avoid the inherent problems of
 receiver-based RTT sampling, by utilising higher-accuracy RTT samples
 already available at the sender.
 It is integrated into the feature set of DCCP as an end-to-end
 negotiable extension.

Status of This Memo

 This is an Internet Standards Track document.
 This document is a product of the Internet Engineering Task Force
 (IETF).  It represents the consensus of the IETF community.  It has
 received public review and has been approved for publication by the
 Internet Engineering Steering Group (IESG).  Further information on
 Internet Standards is available in Section 2 of RFC 5741.
 Information about the current status of this document, any errata,
 and how to provide feedback on it may be obtained at
 http://www.rfc-editor.org/info/rfc6323.

Renker & Fairhurst Standards Track [Page 1] RFC 6323 Sender RTT Estimate Option for DCCP July 2011

Copyright Notice

 Copyright (c) 2011 IETF Trust and the persons identified as the
 document authors.  All rights reserved.
 This document is subject to BCP 78 and the IETF Trust's Legal
 Provisions Relating to IETF Documents
 (http://trustee.ietf.org/license-info) in effect on the date of
 publication of this document.  Please review these documents
 carefully, as they describe your rights and restrictions with respect
 to this document.  Code Components extracted from this document must
 include Simplified BSD License text as described in Section 4.e of
 the Trust Legal Provisions and are provided without warranty as
 described in the Simplified BSD License.

Table of Contents

 1.  Introduction . . . . . . . . . . . . . . . . . . . . . . . . .  3
 2.  Problems Caused by Sampling the RTT at the Receiver  . . . . .  4
   2.1.  List of Problems Encountered with a Real Implementation  .  4
   2.2.  Other Areas Affected by the RTT Sampling Problems  . . . .  5
     2.2.1.  Measured Receive Rate X_recv . . . . . . . . . . . . .  6
     2.2.2.  Disambiguation and Accuracy of Loss Intervals  . . . .  6
     2.2.3.  Determining Quiescence . . . . . . . . . . . . . . . .  6
     2.2.4.  Practical Considerations . . . . . . . . . . . . . . .  7
 3.  Specification  . . . . . . . . . . . . . . . . . . . . . . . .  7
   3.1.  Conventions  . . . . . . . . . . . . . . . . . . . . . . .  7
   3.2.  Options and Features . . . . . . . . . . . . . . . . . . .  7
     3.2.1.  RTT Estimate Option  . . . . . . . . . . . . . . . . .  7
     3.2.2.  Send RTT Estimate Feature  . . . . . . . . . . . . . .  9
   3.3.  Basic Usage  . . . . . . . . . . . . . . . . . . . . . . .  9
   3.4.  Receiver Robustness Measures . . . . . . . . . . . . . . . 10
 4.  Security Considerations  . . . . . . . . . . . . . . . . . . . 11
 5.  IANA Considerations  . . . . . . . . . . . . . . . . . . . . . 11
   5.1.  Option Types . . . . . . . . . . . . . . . . . . . . . . . 11
   5.2.  Feature Numbers  . . . . . . . . . . . . . . . . . . . . . 12
 6.  References . . . . . . . . . . . . . . . . . . . . . . . . . . 12
   6.1.  Normative References . . . . . . . . . . . . . . . . . . . 12
   6.2.  Informative References . . . . . . . . . . . . . . . . . . 12

Renker & Fairhurst Standards Track [Page 2] RFC 6323 Sender RTT Estimate Option for DCCP July 2011

1. Introduction

 The Datagram Congestion Control Protocol (DCCP) [RFC4340] is a
 transport protocol for connection-oriented, unreliable, and
 congestion-controlled datagram delivery.  In DCCP, an application has
 a choice of congestion control mechanisms, each specified by a
 Congestion Control Identifier (CCID; [RFC4340], Section 10).
 This document defines a Standards-Track update to the sender and
 receiver sides of two rate-based DCCP congestion control IDs: CCID-3
 [RFC4342] and the Experimental CCID-4 variant [RFC5622].
 Both CCIDs are based on the principles of TCP-Friendly Rate Control
 (TFRC) [RFC5348], which performs rate-based congestion control.  Its
 feedback mechanism differs from that used by window-based congestion
 control such as in TCP.  As a consequence, in TFRC the feedback may
 be sent less frequently (e.g., once per round-trip time).
 Furthermore, a measured RTT estimate is directly used as the basis
 for computing the (TCP-friendly) transmission rate.
 In TFRC-based protocols, packets are rate-paced over an RTT, instead
 of allowing them to be sent back-to-back as they could be in TCP;
 thus, accurate RTT estimation is important to ensure appropriate
 pacing at the sender.
 The original specifications for CCID-3 and CCID-4, in [RFC4342] and
 [RFC5622], both estimate the RTT at the receiver, using an algorithm
 based on the cyclic 4-bit window counter of the DCCP CCVal header.
 The method has implications that have been observed when using
 applications over DCCP implementations, resulting in infrequent and
 inaccurate RTT measurement.
 This update addresses these RTT estimation problems by providing a
 solution based on a concept first recommended in [RFC5348], Section
 3.2.1; i.e., to measure the RTT at the sender.  That approach results
 in a higher reliability and frequency of samples and avoids the
 inherent problems of receiver-based RTT sampling discussed below.
 The document begins by analysing the encountered problems in the next
 section.  The update is presented in Section 3.  We then discuss
 security considerations in Section 4 and list the resulting IANA
 considerations in Section 5.

Renker & Fairhurst Standards Track [Page 3] RFC 6323 Sender RTT Estimate Option for DCCP July 2011

2. Problems Caused by Sampling the RTT at the Receiver

 There are at least six areas that make a TFRC receiver vulnerable to
 inaccuracies or absence of (receiver-based) RTT samples:
 o  the measured sending rate, X_recv ([RFC5348], Section 6.2);
 o  synthesis of the first loss interval ([RFC5348], Section 6.3.1);
 o  disambiguation of loss events ([RFC4342], Section 10.2);
 o  validation of loss intervals ([RFC4342], Section 6.1);
 o  ensuring that at least one feedback packet is sent per RTT
    ([RFC4342], Section 10.3);
 o  determining quiescence periods ([RFC4342], Section 6.4).

2.1. List of Problems Encountered with a Real Implementation

 This section summarizes several years of experience using the Linux
 implementation of CCID-3 and CCID-4.  It lists the problems
 encountered with receiver-based RTT sampling over real networks, in a
 variety of wired and wireless environments and under different link-
 layer conditions.
 The Linux DCCP/TFRC implementation is based on the RTT-sampling
 algorithm specified in [RFC4342], Section 8.1.  This algorithm relies
 on a coarse-grained window counter (units of RTT/4), and uses packet
 inter-arrival times to estimate the current RTT of the network.
 The algorithm is effective only for packets with modulo-16 CCVal
 differences less than 5, due to limitations noted in Sections 8.1 and
 10.3 of [RFC4342].  A CCVal difference less than 4 means sampling at
 sub-RTT scale; [RFC4342], Section 8.1 thus suggests differences
 between 2 and 4, the latter being preferable (equivalent to a full
 RTT).  The same section limits the maximum CCVal difference between
 data-carrying packets to 5, in order to avoid wrap-around.  As a
 consequence, it is not possible to determine the timing interval for
 adjacent packets with a CCVal difference greater than 4: such samples
 have to be discarded.
 A second problem arises when there are holes in the sequence space.
 Because the 4-bit CCVal counter may cycle around multiple times, it
 is not possible to determine window-counter wrap-around whenever
 sequence numbers of subsequent packets are not immediately adjacent.
 This problem occurs when packets are delayed, reordered, or lost in
 the network.

Renker & Fairhurst Standards Track [Page 4] RFC 6323 Sender RTT Estimate Option for DCCP July 2011

 As a result, RTT sampling has to be paused during times of loss.
 However, this aggravates the problem, since the sender now requires
 new feedback from the receiver, but the receiver is unable to provide
 accurate and up-to-date information: the receiver is unable to sample
 the RTT, and accordingly is also unable to estimate X_recv correctly,
 which then in turn affects X_Bps at the sender.
 The third limitation arises from using inter-arrival times as
 representatives of network inter-packet gaps.  It is well known that
 the inter-packet gap of packets is not constant along a network path.
 Furthermore, modern network interface cards do not necessarily
 deliver each packet at the time it is received, but rather in a
 bunch, to avoid overly frequent interrupts [MR97].  As a result,
 inter-packet arrival times may converge to zero, when subsequent
 packets are being delivered at virtually the same time.
 The fourth problem is that of under-sampling and thus related to the
 first limitation.  If loss occurs while the receiver has not yet had
 a chance to sample the RTT, it needs to fall back to some fixed RTT
 constant to plug into the equation of [RFC5348], Section 6.3.1.  (The
 sender, for example, uses a fixed value of 1 second when it is unable
 to obtain an initial RTT sample; see [RFC5348], Section 4.2).
 In particular, if the loss is caused by a transient condition, this
 fourth problem causes a subsequent deterioration of the connection
 (rate reduction), further aggravated by the fact that TFRC takes
 longer than common window-based protocols to recover from a reduction
 of its allowed sending rate.
 Trying to smooth over these effects by imposing heavy filtering on
 the RTT samples did not substantially improve the situation, nor does
 it solve the problem of under-sampling.
 The TFRC sender, on the other hand, is much better equipped to
 estimate the RTT and can do this more accurately.  This is in
 particular due to the use of timestamps and elapsed time information
 ([RFC5348], Section 3.2.2), which are mandatory in CCID-3 (Sections 6
 and 8.2 of [RFC4342]).

2.2. Other Areas Affected by the RTT Sampling Problems

 Here we analyse the impact that unreliability of receiver-based RTT
 sampling has on the areas listed at the beginning of Section 2.
 In addition, benefits of sender-based RTT sampling have already been
 pointed out in [RFC5348] and in the specification of CCID-3 at the
 end of Section 10.2 of [RFC4342].

Renker & Fairhurst Standards Track [Page 5] RFC 6323 Sender RTT Estimate Option for DCCP July 2011

2.2.1. Measured Receive Rate X_recv

 A key problem is that the reliability of X_recv [RFC4342] depends
 directly upon the reliability and accuracy of RTT samples.  This
 means that failures propagate from one parameter to another.
 Errata IDs 610 [Err610] and 611 [Err611] update [RFC4342] to use the
 definition of the receive rate as specified in [RFC5348].
 Having an explicit (rather than a coarse-grained) RTT estimate allows
 measurement of X_recv with greater accuracy and isolates failure.
 An explicit RTT estimate also enables the receiver to more accurately
 perform the test in step (2) of [RFC4342], Section 6.2, i.e., to
 check whether less or more than one RTT has passed since the last
 feedback.

2.2.2. Disambiguation and Accuracy of Loss Intervals

 Since a loss event is defined as one or more data packets in one RTT
 that are lost or marked with Explicit Congestion Notification (ECN;
 [RFC5348], Section 5.2), the receiver needs accurate RTT estimates to
 validate and accurately separate loss events.  Moreover, Section 5.2
 of [RFC5348] expressly indicates the sender RTT estimate is
 RECOMMENDED for this purpose.
 Having the sender RTT Estimate available further increases the
 accuracy of the information reported by the receiver.  The definition
 of Loss Intervals in [RFC4342], Section 6.1 needs the RTT to separate
 the lossy parts; in particular, lossy parts spanning a period of more
 than one RTT are invalid.
 A similar benefit arises in the computation of the loss event rate:
 as discussed in Section 9.2 of [RFC4342], it may happen that the
 sender and receiver compute different loss event rates, due to
 differences in the available timing information.  An explicit RTT
 estimate increases the accuracy of information available at the
 receiver; thus, the sender may not need to recompute the (less
 reliable) loss event rate reported by the receiver.

2.2.3. Determining Quiescence

 The quiescence period is defined as max(2 * RTT, 0.2 sec) in Section
 6.4 of [RFC4342].  An explicit RTT estimate avoids under- and over-
 estimating quiescence periods.

Renker & Fairhurst Standards Track [Page 6] RFC 6323 Sender RTT Estimate Option for DCCP July 2011

2.2.4. Practical Considerations

 Using explicit RTT estimates contributes to greater robustness and
 can also result in simpler implementation.
 First, it becomes easier to separate adjacent loss events.  The 4-bit
 counter value wraps relatively frequently, which requires additional
 procedures to avoid aliasing effects.
 Second, the receiver is better able to determine when to send
 feedback packets.  It can perform the test described in step (2) of
 [RFC5348], Section 6.2 more accurately.  Moreover, unnecessary
 expiration of the nofeedback timer (as described in [RFC4342],
 Section 10.3) can be avoided.
 Lastly, a sender-based RTT estimate option can be used by middleboxes
 to verify that a flow uses conforming end-to-end congestion control
 ([RFC4342], Section 10.2).

3. Specification

3.1. Conventions

 The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT",
 "SHOULD", "SHOULD NOT", "RECOMMENDED", "MAY", and "OPTIONAL" in this
 document are to be interpreted as described in [RFC2119].
 This document uses the conventions of [RFC5348], [RFC4340],
 [RFC4342], and [RFC5622].
 All multi-byte field descriptions presented in this document are in
 network byte order (most significant byte first).

3.2. Options and Features

 This document defines a single TFRC-specific option, RTT Estimate,
 described in the next subsection.
 Following the guidelines in [RFC4340], Section 15, the use of the RTT
 Estimate Option is governed by an associated feature, Send RTT
 Estimate Feature.  This feature is described in Section 3.2.2.

3.2.1. RTT Estimate Option

 The sender communicates its current RTT estimate to the receiver
 using an RTT Estimate Option.

Renker & Fairhurst Standards Track [Page 7] RFC 6323 Sender RTT Estimate Option for DCCP July 2011

         +------+---------------+--------------+------------+
         | Type | Option Length |    Meaning   | DCCP Data? |
         +------+---------------+--------------+------------+
         |  128 |     3/4/5     | RTT Estimate |      Y     |
         +------+---------------+--------------+------------+
       Table 1: The RTT Estimate Option Defined by This Document
 Column meanings are as per [RFC4340], Section 5.8 (Table 3).  This
 option MAY be placed in any DCCP packet, has option number 128 and a
 length of 3..5 bytes.
 A Sender RTT Estimate Option is valid if it satisfies one of the
 three following formats:
    +--------+--------+--------+
    |10000000|00000011|  RTT   |
    +--------+--------+--------+
     Type=128  Length=3  Estimate
    +--------+--------+--------+--------+
    |10000000|00000100|       RTT       |
    +--------+--------+--------+--------+
     Type=128  Length=4      Estimate
    +--------+--------+--------+--------+--------+
    |10000000|00000101|           RTT            |
    +--------+--------+--------+--------+--------+
     Type=128  Length=5          Estimate
 The 1..3 value bytes of the option data carry the current RTT
 estimate of the sender, using a granularity of 1 microsecond.  This
 allows values up to 16.7 seconds (corresponding to 0xFFFFFE) to be
 communicated.
 A sender capable of sampling at sub-microsecond granularity SHOULD
 round up RTT samples to the next microsecond, to avoid under-
 estimating the RTT.
 The value 0xFFFFFF is reserved to indicate significant delay spikes,
 larger than 16.7 seconds.  This is qualitative rather than
 quantitative information, to alert the receiver that there is a
 network problem (for instance, jamming on a wireless channel).

Renker & Fairhurst Standards Track [Page 8] RFC 6323 Sender RTT Estimate Option for DCCP July 2011

 The use of the RTT Estimate Option on networks with RTTs larger than
 16.7 seconds is not specified by this document (as per Section 3.3,
 the sender would then always report 0xFFFFFF).
 A value of 0 indicates the absence of a valid RTT sample.  The sender
 MUST set the value to 0 if it does not yet have an RTT estimate.  RTT
 estimates of less than 1 microsecond MUST be reported as 1
 microsecond.
 The sender SHOULD select the smallest format suitable to carry the
 RTT estimate (i.e., less than 1 byte of leading zeroes).

3.2.2. Send RTT Estimate Feature

 The Send RTT Estimate feature lets endpoints negotiate whether the
 sender MUST provide RTT Estimate options on its data packets.
 Send RTT Estimate has feature number 128 and is server-priority.  It
 takes 1-byte Boolean values; values greater than 1 are reserved.
  +--------+-------------------+------------+---------------+-------+
  | Number |      Meaning      | Rec'n Rule | Initial Value | Req'd |
  +--------+-------------------+------------+---------------+-------+
  |   128  | Send RTT Estimate |     SP     |       0       |   N   |
  +--------+-------------------+------------+---------------+-------+
    Table 2: The Send RTT Estimate Feature Defined by This Document
 The column meanings are described in [RFC4340], Section 6.4.
 The Send RTT Estimate feature is OPTIONAL.  An extension may
 implement it, but this specification does not require the feature to
 be understood by every DCCP implementation (see [RFC4340], Section
 15).  The feature is off by default (initial value of 0).
 DCCP B sends a "Mandatory Change R(Send RTT Estimate, 1)" to require
 DCCP A to send RTT Estimate options as part of its data traffic (DCCP
 A will reset the connection if it does not understand this feature).

3.3. Basic Usage

 When the Send RTT Estimate Feature is enabled, the sender MUST
 provide an RTT Estimate Option on all of its Data, DataAck, Sync, and
 SyncAck packets.  It MAY in addition provide the RTT Estimate Option
 on other packet types, such as DCCP-Ack.  If the RTT is larger than
 the maximum representable value (0xFFFFFE), the sender MUST set the
 value of the RTT Estimate Option to 0xFFFFFF.

Renker & Fairhurst Standards Track [Page 9] RFC 6323 Sender RTT Estimate Option for DCCP July 2011

 The sender MUST implement and continue to update the CCVal window
 counter as specified in [RFC4342], Section 8.1, even when the Send
 RTT Estimate Feature is on.
 When the Send RTT Estimate Feature is enabled, the receiver MUST use
 the value reported by the RTT Estimate Option in all places that
 require an RTT (listed at the begin of Section 2).  If the receiver
 encounters an invalid RTT Estimate Option (Section 3.2.1), it MUST
 reset the connection with Reset Code 5, "Option Error", where the
 Data 1..3 fields are set to the first 3 bytes of the offending RTT
 Estimate Option.
 The receiver SHOULD track the long-term RTT estimate using a moving
 average, such as the one specified in [RFC5348], Section 4.3.  This
 long-term estimate is referred to as "receiver_RTT" below.
 When the Send RTT Estimate Feature is disabled, the receiver MUST
 estimate the RTT as previously specified in [RFC4340], [RFC4342], and
 [RFC5622].

3.4. Receiver Robustness Measures

 This subsection specifies robustness measures for the receiver when
 the Send RTT Estimate Feature is on.
 The 0-valued and 0xFFFFFF-valued RTT Estimate Options are both
 referred to as "no-number RTT options".  RTT Estimate Options with
 values in the range of 1..0xFFFFFE are analogously called "numeric
 RTT options".
 Until the first numeric RTT option arrives, the receiver MUST use a
 value of 0.5 seconds for receiver_RTT (to match the initial 2-second
 timeout of the TFRC nofeedback timer; see [RFC5348], Section 4.2).
 If the path RTT is known, e.g., from a previous connection [RFC2140],
 the receiver MAY reuse the previously known path RTT value to seed
 its long-term RTT estimate.
 The sender MAY occasionally send no-number RTT options, covering for
 transient changes and spurious disruptions.  During these times, the
 receiver SHOULD continue to use its long-term receiver_RTT value.
 To avoid under-estimating the RTT in the absence of numeric options,
 the receiver MUST back off receiver_RTT in the following manner: if
 the sender supplies no-number RTT options for longer than
 receiver_RTT units of time, the receiver sets
           receiver_RTT = MIN(2 * receiver_RTT, t_mbi)

Renker & Fairhurst Standards Track [Page 10] RFC 6323 Sender RTT Estimate Option for DCCP July 2011

 where t_mbi = 64 seconds is the maximum back-off interval ([RFC5348],
 Appendix A).  For the next round of no-number RTT options, the
 updated value of receiver_RTT applies.
 This back-off mechanism ensures that short-term disruptions do not
 have a lasting impact, whereas long-term problems will result in
 asymptotically high receiver_RTT values.
 To bail out from a hanging session, the receiver MAY close the
 connection when receiver_RTT has reached the value MAX_RTT.

4. Security Considerations

 Security considerations for CCID-3 have been discussed in Section 11
 of [RFC4342]; for CCID-4, these have been discussed in Section 13 of
 [RFC5622], referring back to the same section of [RFC4342].
 This document introduces an extension to communicate the current RTT
 estimate of the sender to the receiver of a TFRC communication.
 By altering the value of the RTT Estimate Option, it is possible to
 interfere with the behaviour of a flow using TFRC.  In particular,
 since accuracy of the RTT estimate directly influences the accuracy
 of the measured sending rate X_recv, it would be possible to obtain
 either higher or lower sending rates than are warranted by the
 current network conditions.
 This is only possible if an attacker is on the same path as the DCCP
 sender and receiver, and is able to guess valid sequence numbers.
 Therefore, the considerations in Section 18 of [RFC4340] apply.

5. IANA Considerations

 This document requests identical allocation in the dccp-ccid3-
 parameters and the dccp-ccid4-parameters registries.

5.1. Option Types

 This document defines a single CCID-specific option (128) for
 communicating RTT estimates from the HC-sender to the HC-receiver.
 Following [RFC4340], Section 10.3, this requires an option number for
 the RTT Estimate Option in the range 128..191.

Renker & Fairhurst Standards Track [Page 11] RFC 6323 Sender RTT Estimate Option for DCCP July 2011

5.2. Feature Numbers

 This document defines a single CCID-specific feature number (128) for
 the Send RTT Estimate feature, which is located at the HC-sender.
 Following [RFC4340], Section 10.3, a feature number in the range
 128..191 is required.

6. References

6.1. Normative References

 [RFC2119]  Bradner, S., "Key words for use in RFCs to Indicate
            Requirement Levels", BCP 14, RFC 2119, March 1997.
 [RFC4340]  Kohler, E., Handley, M., and S. Floyd, "Datagram
            Congestion Control Protocol (DCCP)", RFC 4340, March 2006.
 [RFC4342]  Floyd, S., Kohler, E., and J. Padhye, "Profile for
            Datagram Congestion Control Protocol (DCCP) Congestion
            Control ID 3: TCP-Friendly Rate Control (TFRC)", RFC 4342,
            March 2006.
 [RFC5348]  Floyd, S., Handley, M., Padhye, J., and J. Widmer, "TCP
            Friendly Rate Control (TFRC): Protocol Specification",
            RFC 5348, September 2008.
 [RFC5622]  Floyd, S. and E. Kohler, "Profile for Datagram Congestion
            Control Protocol (DCCP) Congestion ID 4: TCP-Friendly Rate
            Control for Small Packets (TFRC-SP)", RFC 5622,
            August 2009.

6.2. Informative References

 [Err610]   RFC Errata, Errata ID 610, RFC 4342,
            <http://www.rfc-editor.org>.
 [Err611]   RFC Errata, Errata ID 611, RFC 4342,
            <http://www.rfc-editor.org>.
 [MR97]     Mogul, J. and K. Ramakrishnan, "Eliminating Receive
            Livelock in an Interrupt-Driven Kernel", ACM Transactions
            on Computer Systems (TOCS), 15(3):217-252, August 1997.
 [RFC2140]  Touch, J., "TCP Control Block Interdependence", RFC 2140,
            April 1997.

Renker & Fairhurst Standards Track [Page 12] RFC 6323 Sender RTT Estimate Option for DCCP July 2011

Authors' Addresses

 Gerrit Renker
 University of Aberdeen
 School of Engineering
 Fraser Noble Building
 Aberdeen  AB24 3UE
 Scotland
 EMail: gerrit@erg.abdn.ac.uk
 URI:   http://www.erg.abdn.ac.uk
 Godred Fairhurst
 University of Aberdeen
 School of Engineering
 Fraser Noble Building
 Aberdeen  AB24 3UE
 Scotland
 EMail: gorry@erg.abdn.ac.uk
 URI:   http://www.erg.abdn.ac.uk

Renker & Fairhurst Standards Track [Page 13]

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