Network Working Group                                      H. Uijterwaal
Request for Comments: 5560                                      RIPE NCC
Category: Standards Track                                       May 2009


                 A One-Way Packet Duplication Metric

Status of This Memo

  This document specifies an Internet standards track protocol for the
  Internet community, and requests discussion and suggestions for
  improvements.  Please refer to the current edition of the "Internet
  Official Protocol Standards" (STD 1) for the standardization state
  and status of this protocol.  Distribution of this memo is unlimited.

Copyright Notice

  Copyright (c) 2009 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 in effect on the date of
  publication of this document (http://trustee.ietf.org/license-info).
  Please review these documents carefully, as they describe your rights
  and restrictions with respect to this document.

Abstract

  When a packet is sent from one host to the other, one normally
  expects that exactly one copy of the packet that was sent arrives at
  the destination.  It is, however, possible that a packet is either
  lost or that multiple copies arrive.

  In earlier work, a metric for packet loss was defined.  This metric
  quantifies the case where a packet that is sent does not arrive at
  its destination within a reasonable time.  In this memo, a metric for
  another case is defined: a packet is sent, but multiple copies
  arrive.  The document also discusses streams and methods to summarize
  the results of streams.












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Table of Contents

  1. Introduction ....................................................3
     1.1. Requirements Notation ......................................3
     1.2. Motivation .................................................4
  2. A Singleton Definition for One-Way Packet Arrival Count .........4
     2.1. Metric Name ................................................4
     2.2. Metrics Parameters .........................................4
     2.3. Metric Units ...............................................4
     2.4. Definition .................................................4
     2.5. Discussion .................................................5
     2.6. Methodology ................................................6
     2.7. Errors and Uncertainties ...................................6
     2.8. Reporting the Metric .......................................6
  3. A Singleton Definition for One-Way Packet Duplication ...........6
     3.1. Metric Name ................................................6
     3.2. Metrics Parameters .........................................7
     3.3. Metric Units ...............................................7
     3.4. Definition .................................................7
     3.5. Discussion .................................................7
  4. Definition for Samples for One-Way Packet Duplication ...........7
     4.1. Poisson Streams ............................................7
          4.1.1. Metric Name .........................................7
          4.1.2. Metric Parameters ...................................8
          4.1.3. Metric Units ........................................8
          4.1.4. Definition ..........................................8
          4.1.5. Methodology .........................................8
          4.1.6. Errors and Uncertainties ............................8
          4.1.7. Reporting the Metric ................................8
     4.2. Periodic Streams ...........................................9
          4.2.1. Metric Name .........................................9
          4.2.2. Metric Parameters ...................................9
          4.2.3. Metric Units ........................................9
          4.2.4. Definition ..........................................9
          4.2.5. Methodology .........................................9
          4.2.6. Errors and uncertainties ............................9
          4.2.7. Reporting the metric ...............................10
  5. Some Statistics Definitions for One-Way Duplication ............10
     5.1. Type-P-one-way-packet-duplication-fraction ................10
     5.2. Type-P-one-way-replicated-packet-rate .....................10
     5.3. Examples ..................................................11
  6. Security Considerations ........................................12
  7. IANA Considerations ............................................12
  8. Acknowledgements ...............................................13
  9. References .....................................................13
     9.1. Normative References ......................................13
     9.2. Informative References ....................................13




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1.  Introduction

  This document defines a metric for one-way packet duplication across
  Internet paths.  It builds on the IP Performance Metrics (IPPM)
  Framework document [RFC2330]; the reader is assumed to be familiar
  with that document.

  This document follows the same structure as the document for one-way
  packet loss [RFC2680]; the reader is assumed to be familiar with that
  document as well.

  The structure of this memo is as follows:

  o  First, a singleton metric, called Type-P-one-way-packet-arrival-
     count, is introduced to measure the number of arriving packets for
     each packet sent.

  o  Then, a singleton metric, called Type-P-one-way-packet-
     duplication, is defined to describe a single instance of packet
     duplication.

  o  Next, this singleton metric is used to define samples, Type-P-one-
     way-Packet-Duplication-Poisson-Stream and Type-P-one-way-Packet-
     Duplication-Periodic-Stream.  These are introduced to measure
     duplication in a series of packets sent with either Poisson-
     distributed [RFC2680] or periodic [RFC3432] intervals between the
     packets.

  o  Finally, statistics that summarize the properties of these samples
     are introduced.

1.1.  Requirements Notation

  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].

  Although RFC 2119 was written with protocols in mind, the key words
  are used in this document for similar reasons.  They are used to
  ensure the results of measurements from two different implementations
  are comparable and to note instances when an implementation could
  perturb the network.









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1.2.  Motivation

  When a packet is sent from one host to the other, one normally
  expects that exactly one copy of the packet that was sent arrives at
  the destination.  It is, however, possible that a packet is either
  lost or that multiple copies arrive.

  In earlier work, a metric for packet loss was defined [RFC2680].
  This metric distinguishes between cases where the packet arrives and
  where the packet does not arrive within a reasonable time.  In this
  memo, a metric for a third outcome is defined: a single packet is
  sent, but multiple copies arrive.

  As this document describes a case similar to the one discussed in
  [RFC2680], all considerations from that document on timing and
  accuracy apply.

2.  A Singleton Definition for One-Way Packet Arrival Count

2.1.  Metric Name

  Type-P-one-way-packet-arrival-count

2.2.  Metrics Parameters

  o  src, the IP address of a host

  o  dst, the IP address of a host

  o  T, the wire time of a packet at the source

  o  T0, the maximum waiting time for a packet to arrive at the
     destination.

2.3.  Metric Units

  An integer number.

2.4.  Definition

  Two packets are considered identical if and only if:

  o  Both contain identical information fields (see Section 2.5).  The
     recipient thus could take either packet and use the data in an
     application.  The other packet does not contain any additional
     information.





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  o  Both packets appear to have been sent by one and the same host, to
     one and the same destination.  Hosts are identified by their IP
     addresses.

  The value of a Type-P-one-way-packet-arrival-count is a positive
  integer number indicating the number of (uncorrupted and identical)
  copies received by dst in the interval [T, T+T0] for a packet sent by
  src at time T.

  If a packet is sent, but it is lost or does not arrive in the
  interval [T, T+T0], then the metric is undefined.  Applications MAY
  report an "impossible" value (for example, -1) to indicate this
  condition instead of undefined.

  If a packet is fragmented during transport and if, for whatever
  reason, reassembly does not occur, then the packet will be deemed
  lost.  It is thus not included in the Type-P-one-way-packet-arrival-
  count.

2.5.  Discussion

  This metric counts the number of packets arriving for each packet
  sent.  The time-out value T0 SHOULD be set to a value when the
  application could potentially still use the packet and would not
  discard it automatically.

  If this metric is used in parallel with the Packet Loss Metric
  [RFC2680], the value of T0 MUST be the same for both cases in order
  to keep the results comparable.

  The metric only counts packets that are not corrupted during
  transmission and may have been resent automatically by lower layers
  or intermediate devices.  Packets that were corrupted during
  transmission but, nevertheless, still arrived at dst are not counted.

  Clocks do have to be synchronized between src and dst such that it is
  possible to uniquely and accurately determine the interval [T, T+T0]
  at both sides.

  If this metric is used in an active measurement system, the system
  MUST NOT send multiple packets with identical information fields in
  order to avoid that all packets will be declared duplicates.  This
  metric can be used inside a passive measurement system as well, using
  packets generated by another source.  However, if the source can send
  two identical packets within the interval [T, T+T0], this will be
  incorrectly labeled as a duplicate, resulting in a false positive.
  It is up to the implementor to estimate if this scenario is likely to
  happen and the rate of false positives that is acceptable.



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  The definition of identical information fields is such that two
  packets are considered to be identical if they are sent from the same
  source and contain the same information.  This does not necessarily
  mean that all bits in the packet are the same.  For example, when a
  packet is replicated and the copies are transferred along different
  paths, the Time to Live (TTL) may be different.  The implementation
  MUST specify which fields are compared when deciding whether or not
  two packets are identical.

  In the case of IPv4, these will usually be: version, ihl,
  identification, src, dst, protocol, some or all upper-layer protocol
  data.

  In IPv6, these will usually be: version, next header, source,
  destination, some or all upper-layer protocol data

  Note that the use of the identification field is not present in non-
  fragmented IPv6 packets and may not be sufficient to distinguish
  packets from each even in IPv4, particularly at higher transmission
  speeds

2.6.  Methodology

  The basic technique to measure this metric follows the methodology
  described in Section 2.6 of [RFC2680] with one exception.

  [RFC2680] does not specify that the receiving host should be able to
  receive multiple copies of a single packet, as it only needs one copy
  to determine the metrics.  Implementations for this metric should
  obviously be capable of receiving multiple copies.

2.7.  Errors and Uncertainties

  Refer to Section 2.7 of [RFC2680].

2.8.  Reporting the Metric

  Refer to Section 2.8 of [RFC2680].

3.  A Singleton Definition for One-Way Packet Duplication

3.1.  Metric Name

  Type-P-one-way-packet-duplication







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3.2.  Metrics Parameters

  o  src, the IP address of a host

  o  dst, the IP address of a host

  o  T, the wire time of a packet at the source

  o  T0, the maximum waiting time for a packet to arrive at the
     destination.

3.3.  Metric Units

  An integer number.

3.4.  Definition

  The value of a Type-P-one-way-packet-duplication is a positive
  integer number indicating the number of (uncorrupted and identical)
  additional copies of an individual packet received by dst in the
  interval [T, T+T0] as sent by src at time T.

  If a packet is sent and only one copy arrives in the interval [T,
  T+T0], then the metric is 0.  If no copy arrives in this interval,
  then the metric is undefined.  Applications MAY report an
  "impossible" value (for example, -1) to indicate this condition.

3.5.  Discussion

  This metric is equal to:

       Type-P-one-way-packet-arrival-count - 1

  This metric is expected to be used for applications that need to know
  duplication for an individual packet.  All considerations regarding
  methodology, errors, and reporting from the previous section apply.

4.  Definition for Samples for One-Way Packet Duplication

4.1.  Poisson Streams

4.1.1.  Metric Name

  Type-P-one-way-Packet-Duplication-Poisson-Stream







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4.1.2.  Metric Parameters

  o  src, the IP address of a host.

  o  dst, the IP address of a host.

  o  Ts, a time.

  o  Tf, a time.  Ts and Tf specify the time interval when packets can
     be sent for this stream.

  o  T0, the maximum waiting time for a packet to arrive at the
     destination.

  o  lambda, a rate in reciprocal seconds.

4.1.3.  Metric Units

  A sequence of pairs; the elements of each pair are:

  o  T, a time

  o  Type-P-one-way-packet-arrival-count for the packet sent at T.

4.1.4.  Definition

  Given Ts, Tf, and lambda, we compute a pseudo-random Poisson process
  beginning at or before Ts, with average-rate lambda, and ending at or
  after Tf.  Those time values greater than or equal to Ts, and less
  than or equal to Tf are then selected.  At each of the times in this
  process, we obtain the value of Type-P-one-way-packet-arrival-count.
  The value of the sample is the sequence made up of the resulting
  {time, duplication} pairs.  If there are no such pairs, the sequence
  is of length zero, and the sample is said to be empty.

4.1.5.  Methodology

  Refer to Section 3.6 of [RFC2680].

4.1.6.  Errors and Uncertainties

  Refer to Section 3.7 of [RFC2680].

4.1.7.  Reporting the Metric

  Refer to Section 3.8 of [RFC2680].





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4.2.  Periodic Streams

4.2.1.  Metric Name

  Type-P-one-way-Packet-Duplication-Periodic-Stream

4.2.2.  Metric Parameters

  o  src, the IP address of a host.

  o  dst, the IP address of a host.

  o  Ts, a time.

  o  Tf, a time.  Ts and Tf specify the time interval when packets can
     be sent for this stream.

  o  T0, the maximum waiting time for a packet to arrive at the
     destination.

  o  lambda, a rate in reciprocal seconds.

4.2.3.  Metric Units

  A sequence of pairs; the elements of each pair are:

  o  T, a time

  o  Type-P-one-way-packet-arrival-count for the packet sent at T.

4.2.4.  Definition

  At time Ts, we start sending packets with a constant-rate lambda,
  until time Tf.  For each packet sent, we obtain the value of Type-P-
  one-way-packet-arrival-count.  The value of the sample is the
  sequence made up of the resulting {time, duplication} pairs.  If
  there are no such pairs, the sequence is of length zero and the
  sample is said to be empty.

4.2.5.  Methodology

  Refer to Section 4.5 of [RFC3432].

4.2.6.  Errors and uncertainties

  Refer to Section 4.6 of [RFC3432].





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4.2.7.  Reporting the metric

  Refer to Section 4.7 of [RFC3432].

5.  Some Statistics Definitions for One-Way Duplication

  Note: the statistics described in this section can be used for both
  Type-P-one-way-Packet-Duplication-Poisson-Stream and Type-P-one-way-
  Packet-Duplication-Periodic-Stream.  The application SHOULD report
  which sample was used as input.

5.1.  Type-P-one-way-packet-duplication-fraction

  This statistic gives the fraction of additional packets that arrived
  in a stream.

  Given a Type-P-one-way-Packet-Duplication-Poisson-Stream, one first
  removes all values of Type-P-one-way-Packet-Duplication that are
  undefined.  For the remaining pairs in the stream, one calculates:
  (Sum Type-P-one-way-packet-arrival-count/Number of pairs left) - 1
  (In other words, (number of packets received)/(number of packets sent
  and not lost).)

  The number can be expressed as a percentage.

  Note: this statistic is the equivalent to the Y.1540 IPDR [Y1540].

5.2.  Type-P-one-way-replicated-packet-rate

  This statistic gives the fraction of packets that was duplicated (one
  or more times) in a stream.

  Given a Type-P-one-way-Packet-Duplication-Poisson-Stream, one first
  removes all values of Type-P-one-way-packet-arrival-count that are
  undefined.  For the remaining pairs in the stream, one counts the
  number of pairs with Type-P-one-way-packet-arrival-count greater than
  1.  Then, one calculates the fraction of packets that meet this
  criterion as a fraction of the total.  (In other words: (number of
  duplicated packets)/(number of packets sent and not lost).)

  The number can be expressed as a percentage.

  Note: this statistic is the equivalent of the Y.1540 RIPR [Y1540].








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5.3.  Examples

  Consider a stream of 4 packets, sent as:

       (1, 2, 3, 4)

  and arriving as:

  o  Case 1: (1, 2, 3, 4)

  o  Case 2: (1, 1, 2, 2, 3, 3, 4, 4)

  o  Case 3: (1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4)

  o  Case 4: (1, 1, 1, 2, 3, 3, 3, 4)

  Case 1: No packets are duplicated in a stream, and both the Type-P-
  one-way-packet-duplication-fraction and the Type-P-one-way-packet-
  replicated-packet-rate are 0.

  Case 2: Every packet is duplicated once, and the Type-P-one-way-
  packet-duplication-fraction is 100%.  The Type-P-one-way-replicated-
  packet-rate is 100%, too.

  Case 3: Every packet is duplicated twice, so the Type-P-one-way-
  packet-duplication-fraction is 200%.  The Type-P-one-way-replicated-
  packet-rate is still 100%.

  Case 4: Half the packets are duplicated twice and the other half are
  not duplicated.  The Type-P-one-way-packet-duplication-fraction is
  again 100%, and this number does not show the difference with case 2.
  However, the Type-P-one-way-packet-replicated-packet-rate is 50% in
  this case and 100% in case 2.

  However, the Type-P-one-way-packet-duplication-rate will not show the
  difference between cases 2 and 3.  For this, one has to look at the
  Type-P-one-way-packet-duplication-fraction.

  Finally, note that the order in which the packets arrived does not
  affect the results.  For example, these variations of case 2:

  o  Case 2a: (1, 1, 2, 2, 3, 3, 4, 4)

  o  Case 2b: (1, 2, 3, 4, 1, 2, 3, 4)

  o  Case 2c: (1, 2, 3, 4, 4, 3, 2, 1)





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  (as well as any other permutation) all yield the same results for
  Type-P-one-way-packet-duplication-fraction and the Type-P-one-way-
  replicated-packet-rate.

6.  Security Considerations

  Conducting Internet measurements raises both security and privacy
  concerns.  This memo does not specify an implementation of the
  metrics, so it does not directly affect the security of the Internet
  nor of applications that run on the Internet.  However,
  implementations of these metrics must be mindful of security and
  privacy concerns.

  There are two types of security concerns: potential harm caused by
  the measurements and potential harm to the measurements.  The
  measurements could cause harm because they are active, and they
  inject packets into the network.  The measurement parameters MUST be
  carefully selected so that the measurements inject trivial amounts of
  additional traffic into the networks they measure.  If they inject
  "too much" traffic, they can skew the results of the measurement, and
  in extreme cases, cause congestion and denial of service.

  The measurements themselves could be harmed by routers giving
  measurement traffic a different priority than "normal" traffic or by
  an attacker injecting artificial measurement traffic.  If routers can
  recognize measurement traffic and treat it separately, the
  measurements will not reflect actual user traffic.  If an attacker
  injects artificial traffic that is accepted as legitimate, the loss
  rate will be artificially lowered.  Therefore, the measurement
  methodologies SHOULD include appropriate techniques to reduce the
  probability that measurement traffic can be distinguished from
  "normal" traffic.  Authentication techniques, such as digital
  signatures, may be used where appropriate to guard against injected
  traffic attacks.

  The privacy concerns of network measurement are limited by the active
  measurements described in this memo.  Unlike passive measurements,
  there can be no release of existing user data.

7.  IANA Considerations

  IANA has registered the metrics defined in this document in the IP
  Performance Metrics (IPPM) Metrics Registry, see [RFC4148].








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8.  Acknowledgements

  The idea to write this document came up in a meeting with Al Morton,
  Stanislav Shalunov, Emile Stephan, and the author on the IPPM
  reporting document.

  This document relies heavily on [RFC2680], and the author would like
  to thank the authors of that document for writing it.

  Finally, thanks are due to Lars Eggert, Al Morton, Martin Swany, and
  Matt Zekauskas for their comments.

9.  References

9.1.  Normative References

  [RFC2119]  Bradner, S., "Key words for use in RFCs to Indicate
             Requirement Levels", BCP 14, RFC 2119, March 1997.

  [RFC2680]  Almes, G., Kalidindi, S., and M. Zekauskas, "A One-way
             Packet Loss Metric for IPPM", RFC 2680, September 1999.

  [RFC3432]  Raisanen, V., Grotefeld, G., and A. Morton, "Network
             performance measurement with periodic streams", RFC 3432,
             November 2002.

9.2.  Informative References

  [RFC2330]  Paxson, V., Almes, G., Mahdavi, J., and M. Mathis,
             "Framework for IP Performance Metrics", RFC 2330,
             May 1998.

  [RFC4148]  Stephan, E., "IP Performance Metrics (IPPM) Metrics
             Registry", BCP 108, RFC 4148, August 2005.

  [Y1540]    "Y.1540 ITU-T Recommendation Y.1540 (2007), Internet
             protocol data communication service IP packet transfer and
             availability performance parameters.", 2007.













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Author's Address

  Henk Uijterwaal
  RIPE NCC
  Singel 258
  1016 AB Amsterdam
  The Netherlands

  Phone: +31 20 535 4444
  EMail: [email protected]









































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