RFC 1333 - PPP Link Quality Monitoring

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Network Working Group W. Simpson
Request for Comments: 1333 Daydreamer
 May 1992
 PPP Link Quality Monitoring
Status of this Memo
 This RFC specifies an IAB standards track protocol for the Internet
 community, and requests discussion and suggestions for improvements.
 Please refer to the current edition of the "IAB Official Protocol
 Standards" for the standardization state and status of this protocol.
 Distribution of this memo is unlimited.
Abstract
 The Point-to-Point Protocol (PPP) [1] provides a standard method of
 encapsulating Network Layer protocol information over point-to-point
 links. PPP also defines an extensible Link Control Protocol, which
 allows negotiation of a Quality Protocol for continuous monitoring of
 the viability of the link.
 This document defines a protocol for generating Link-Quality-Reports.
 This RFC is a product of the Point-to-Point Protocol Working Group of
 the Internet Engineering Task Force (IETF). Comments on this memo
 should be submitted to the ietf-ppp@ucdavis.edu mailing list.
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RFC 1333 PPP Link Quality Monitoring May 1992
Table of Contents
 1. Introduction .......................................... 1
 2. Link Quality Monitoring ............................... 2
 2.1 Design Motivation ............................... 2
 2.2 Counters ........................................ 2
 2.3 Counting Packets and Octets ..................... 4
 2.4 Processes ....................................... 4
 2.5 Configuration Option Format ..................... 6
 2.6 Packet Format ................................... 8
 2.7 Transmission of Reports ......................... 12
 2.8 Calculations .................................... 12
 2.9 Failure Detection ............................... 13
 2.10 Policy Suggestions .............................. 14
 SECURITY CONSIDERATIONS ...................................... 14
 REFERENCES ................................................... 14
 ACKNOWLEDGEMENTS ............................................. 14
 CHAIR'S ADDRESS .............................................. 15
 AUTHOR'S ADDRESS ............................................. 15
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RFC 1333 PPP Link Quality Monitoring May 1992
1. Introduction
 PPP has three main components:
 1. A method for encapsulating datagrams over serial links.
 2. A Link Control Protocol (LCP) for establishing, configuring,
 and testing the data-link connection.
 3. A family of Network Control Protocols (NCPs) for establishing
 and configuring different network-layer protocols.
 In order to establish communications over a point-to-point link, each
 end of the PPP link must first send LCP packets to configure the data
 link during the Establishment phase. During the Authentication and
 Network-Layer Protocol phases, the link may be tested to determine if
 quality is sufficient for operation. This testing is completely
 optional.
 If an implementation desires that the peer use some specific link
 quality monitoring protocol, then it MUST negotiate the use of that
 protocol using the Quality-Protocol Configuration Option during Link
 Establishment phase.
 The negotiation mechanism is independent in each direction. However,
 if the peer agrees to send Quality-Protocol packets, it MUST
 correctly process such packets on reception, even if it does not
 request such packets or implement a monitoring policy.
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RFC 1333 PPP Link Quality Monitoring May 1992
2. Link Quality Monitoring
 Data communications links are rarely perfect. Packets can be dropped
 or corrupted for various reasons (line noise, equipment failure,
 buffer overruns, etc.). Sometimes, it is desirable to determine
 when, and how often, the link is dropping data. Routers, for
 example, may want to temporarily allow another route to take
 precedence. An implementation may also have the option of
 disconnecting and switching to an alternate link. The process of
 determining data loss is called "Link Quality Monitoring".
2.1. Design Motivation
 There are many different ways to measure link quality, and even more
 ways to react to it. Rather than specifying a single scheme, Link
 Quality Monitoring is divided into a "mechanism" and a "policy". PPP
 fully specifies the "mechanism" for Link Quality Monitoring by
 defining the Link-Quality-Report (LQR) packet and specifying a
 procedure for its use. PPP does NOT specify a Link Quality
 Monitoring "policy" -- how to judge link quality or what to do when
 it is inadequate. That is left as an implementation decision, and
 can be different at each end of the link. Implementations are
 allowed, and even encouraged, to experiment with various link quality
 policies. The Link Quality Monitoring mechanism specification
 insures that two implementations with different policies may
 communicate and interoperate.
 To allow flexible policies to be implemented, the PPP Link Quality
 Monitoring mechanism measures data loss in units of packets, octets,
 and Link-Quality-Reports. Each measurement is made separately for
 each half of the link, both inbound and outbound. All measurements
 are communicated to both ends of the link so that each end of the
 link can implement its own link quality policy for both its outbound
 and inbound links.
 Finally, the Link Quality Monitoring protocol is designed to be
 implementable on many different kinds of systems. Although it may be
 common to implement PPP (and especially Link Quality Monitoring) as a
 single software process, multi-process implementations with hardware
 support are also envisioned. The PPP Link Quality Monitoring
 mechanism provides for this by careful definition of the Link-
 Quality-Report packet format, and by specifying reference points for
 all data transmission and reception measurements.
2.2. Counters
 Each Link Quality Monitoring implementation maintains counts of the
 number of packets and octets transmitted and successfully received,
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RFC 1333 PPP Link Quality Monitoring May 1992
 and periodically transmits this information to its peer in a Link-
 Quality-Report packet.
 These counters are similar to sequence numbers; they are constantly
 increasing to give a "relative" indication of the number of packets
 and octets communicated across the outbound link. By comparing the
 values in successive Link-Quality-Reports, an LQR receiver can
 compute the "delta" number of packets and octets successfully
 communicated across the link. Comparing these absolute numbers then
 gives an indication of a link's quality. Relative numbers, rather
 than absolute, are transmitted because they greatly simplify link
 synchronization.
 The Link-Quality-Report uses the Interface counters defined by SNMP
 MIB-II [2]. These counters are not initialized to any particular
 value when the LCP enters the Establishment phase.
 In addition, the Link-Quality-Report requires the implementation of
 the following three unsigned, monotonically increasing counters which
 conform to the type and size requirements for SNMP MIB Counters [3].
 OutLQRs
 OutLQRs is a 32-bit counter which increases by one for each
 tranmitted Link-Quality-Report packet. This counter MUST be set
 to zero when the LCP enters the Establishment phase, and MUST NOT
 be reset until the LCP leaves the Termination phase. This counter
 is incremented before it is inserted into the LQR packet.
 InLQRs
 InLQRs is a 32-bit counter which increases by one for each
 received Link-Quality-Report packet. This counter MUST be set to
 zero when the LCP enters the Establishment phase, and MUST NOT be
 reset until the LCP leaves the Termination phase. This counter is
 incremented before it is inserted (in an implementation dependent
 fashion) into the LQR packet.
 InGoodOctets
 InGoodOctets is a 32-bit counter which increases by the number of
 octets in each successfully received Data Link Layer packet.
 Unlike the MIB ifInOctets, octets for frames which are counted in
 ifInDiscards and ifInErrors MUST NOT be counted. This counter MAY
 be set to any initial value when the LCP enters the Establishment
 phase, but MUST NOT be reset until the LCP leaves the Termination
 phase.
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RFC 1333 PPP Link Quality Monitoring May 1992
2.3. Counting Packets and Octets
 The intent of the counters is to provide an indication of the amount
 of information passing over the link, rather than an actual
 measurement of the total bandwidth used. This specification is
 designed to yield the same count in various circumstances, such as
 when a separate device provides the framing and escaping mechanisms
 invisibly to the implementation, or a synchronous-to-asynchronous
 converter in the link changes between mechanisms.
 All octets which are included in the FCS calculation MUST be counted,
 including the packet header, the information field, and any padding.
 The FCS octets MUST also be counted, and one flag octet per frame
 MUST be counted. All other octets (such as additional flag
 sequences, and escape bits or octets) MUST NOT be counted.
 When inserting the packet and octet counts in the LQR, the counts
 MUST include the expected values for the LQR itself.
2.4. Processes
 The PPP Link Quality Monitoring mechanism is described using a
 "logical process" model. As shown below, there are five logical
 processes duplicated at each end of the duplex link.
 +---------+ +-------+ +----+ Outbound
 | |-->| Mux |-->| Tx |=========>
 | Link- | +-------+ +----+
 | Manager |
 | | +-------+ +----+ Inbound
 | |<--| Demux |<--| Rx |<=========
 +---------+ +-------+ +----+
 Link-Manager
 The Link-Manager process transmits and receives Link-Quality-
 Reports, and implements the desired link quality policy. LQR
 packets are transmitted at a constant rate, which is negotiated by
 the LCP Quality-Protocol Configuration Option.
 Mux
 The Mux process multiplexes packets from the various protocols
 (e.g., LCP, IP, XNS, etc.) into a single, sequential, and
 prioritized stream of packets. Link-Quality-Report packets MUST
 be given the highest possible priority to insure that link quality
 information is communicated in a timely manner.
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RFC 1333 PPP Link Quality Monitoring May 1992
 Tx
 The Tx process maintains the MIB counters ifOutUniPackets and
 ifOutOctets, and the internal counter OutLQRs, which are used to
 measure the amount of data which is transmitted on the outbound
 link. When Tx processes a Link-Quality-Report packet, it inserts
 the values of these counters into the corresponding PeerOut...
 fields of the packet. The Tx process MUST follow the Mux process
 so that packets are counted in the order transmitted to the link.
 Rx
 The Rx process maintains the MIB counters ifInUniPackets,
 ifInDiscards, ifInErrors and IfInOctets, and the internal counters
 InLQRs and InGoodOctets, which are used to measure the amount of
 data which is received by the inbound link. When Rx processes a
 Link-Quality-Report packet, it inserts the values of these
 counters into the corresponding SaveIn... fields of the packet (in
 an implementation dependent manner).
 Demux
 The Demux process demultiplexes packets for the various protocols.
 The Demux process MUST follow the Rx process so that packets are
 counted in the order received from the link.
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RFC 1333 PPP Link Quality Monitoring May 1992
2.5. Configuration Option Format
 Description
 Implementations MUST be prepared to receive the Quality-Protocol
 Configuration Option for the Link-Quality-Report. However,
 negotiation is not required. Negotiation is only necessary when
 the implementation wishes to ensure that the peer transmits Link-
 Quality-Reports as opposed to some other Quality-Protocol, or else
 to prevent the peer from maintaining its own timer, or else to
 establish a maximum time between transmissions of Link-Quality-
 Reports.
 A summary of the Quality-Protocol Configuration Option format to
 negotiate the Link-Quality-Report is shown below. The fields are
 transmitted from left to right.
 0 1 2 3
 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
 +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
 | Type | Length | Quality-Protocol |
 +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
 | Reporting-Period |
 +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
 Type
 4
 Length
 8
 Quality-Protocol
 c025 (hex) for Link-Quality-Report
 Reporting-Period
 The Reporting-Period field is four octets and indicates the
 maximum time in hundredths of seconds between transmission of
 packets. The peer MAY transmit packets at a faster rate than that
 which was negotiated.
 A value of zero indicates that the peer does not need to maintain
 a timer. Instead, the peer generates a LQR immediately upon
 receiving a LQR. A value of zero MUST be Nak'd by the peer with
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RFC 1333 PPP Link Quality Monitoring May 1992
 an appropriate non-zero value when that peer has sent or will send
 a Configure-Request packet containing the Quality-Protocol
 Configuration Option for the Link-Quality-Report with a zero
 Reporting-Period.
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RFC 1333 PPP Link Quality Monitoring May 1992
2.6. Packet Format
 Exactly one Link-Quality-Report packet is encapsulated in the
 Information field of PPP Data Link Layer frames where the protocol
 field indicates type hex c025 (Link-Quality-Report). A summary of
 the LQR packet format is shown below. The names of the fields are
 relative to the packet receiver, since it is the receiver who
 requested the packet in the Configuration Option. The fields are
 transmitted from left to right.
 0 1 2 3
 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
 +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
 | Magic-Number |
 +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
 | LastOutLQRs |
 +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
 | LastOutPackets |
 +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
 | LastOutOctets |
 +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
 | PeerInLQRs |
 +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
 | PeerInPackets |
 +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
 | PeerInDiscards |
 +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
 | PeerInErrors |
 +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
 | PeerInOctets |
 +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
 | PeerOutLQRs |
 +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
 | PeerOutPackets |
 +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
 | PeerOutOctets |
 +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
 The following fields are not actually transmitted over the inbound
 link. Rather, they are logically appended (in an implementation
 dependent manner) to the packet by the implementation's Rx process.
 +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
 | SaveInLQRs |
 +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
 | SaveInPackets |
 +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
 | SaveInDiscards |
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RFC 1333 PPP Link Quality Monitoring May 1992
 +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
 | SaveInErrors |
 +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
 | SaveInOctets |
 +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
 Magic-Number
 The Magic-Number field is four octets and aids in detecting links
 which are in the looped-back condition. Unless modified by a
 Configuration Option, the Magic-Number MUST be transmitted as zero
 and MUST be ignored on reception. If Magic-Numbers have been
 negotiated, incoming LQR packets SHOULD be checked to ensure that
 the local end is not seeing its own Magic-Number and thus a
 looped-back link. See the Magic-Number Configuration Option for
 further explanation.
 LastOutLQRs
 The LastOutLQRs field is four octets, and is copied from the most
 recently received PeerOutLQRs on transmission.
 LastOutPackets
 The LastOutPackets field is four octets, and is copied from the
 most recently received PeerOutPackets on transmission.
 LastOutOctets
 The LastOutOctets field is four octets, and is copied from the
 most recently received PeerOutOctets on transmission.
 PeerInLQRs
 The PeerInLQRs field is four octets, and is copied from the most
 recently received SaveInLQRs on transmission.
 Whenever the PeerInLQRs field is discovered to be zero, the
 LastOut... fields are indeterminate, and the PeerIn... fields
 contain the initial values for the peer.
 PeerInPackets
 The PeerInPackets field is four octets, and is copied from the
 most recently received SaveInPackets on transmission.
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RFC 1333 PPP Link Quality Monitoring May 1992
 PeerInDiscards
 The PeerInDiscards field is four octets, and is copied from the
 most recently received SaveInDiscards on transmission.
 PeerInErrors
 The PeerInErrors field is four octets, and is copied from the most
 recently received SaveInErrors on transmission.
 PeerInOctets
 The PeerInOctets field is four octets, and is copied from the most
 recently received SaveInOctets on transmission.
 PeerOutLQRs
 The PeerOutLQRs field is four octets, and is copied from OutLQRs
 on transmission. This number MUST include this LQR.
 PeerOutPackets
 The PeerOutPackets field is four octets, and is copied from the
 current MIB ifOutUniPackets and ifOutNUniPackets on transmission.
 This number MUST include this LQR.
 PeerOutOctets
 The PeerOutOctets field is four octets, and is copied from the
 current MIB ifOutOctets on transmission. This number MUST include
 this LQR.
 SaveInLQRs
 The SaveInLQRs field is four octets, and is copied from InLQRs on
 reception. This number MUST include this LQR.
 SaveInPackets
 The SaveInPackets field is four octets, and is copied from the
 current MIB ifInUniPackets and ifInNUniPackets on reception. This
 number MUST include this LQR.
 SaveInDiscards
 The SaveInDiscards field is four octets, and is copied from the
 current MIB ifInDiscards on reception. This number MUST include
 this LQR.
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RFC 1333 PPP Link Quality Monitoring May 1992
 SaveInErrors
 The SaveInErrors field is four octets, and is copied from the
 current MIB ifInErrors on reception. This number MUST include
 this LQR.
 SaveInOctets
 The SaveInOctets field is four octets, and is copied from the
 current InGoodOctets on reception. This number MUST include this
 LQR.
 Note that InGoodOctets is not the same as the MIB ifInOctets
 counter, as InGoodOctets does not include octets for packets which
 are discards or errors.
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RFC 1333 PPP Link Quality Monitoring May 1992
2.7. Transmission of Reports
 When the PPP Link Control Protocol has reached the Opened state, the
 Link Quality Monitoring process MAY commence sending Link-Quality-
 Reports. If a Protocol-Reject is received specifying a LQR packet,
 the LQM process MUST cease sending LQRs.
 Usually, the LQR is transmitted when the LQR timer for the link
 expires. If no LQR timer is used, a LQR is generated upon receipt of
 an incoming LQR. The negotiation process ensures that at least one
 side of the link is using a LQR timer.
 In addition, a LQR is generated whenever two successive LQRs are
 received which have the same PeerInLQRs value. This may indicate
 that a LQR has been missed, or that the implementation is sending at
 a significantly slower rate than the peer, or that the peer has
 accelerated LQR generation to better quantify errors on the link.
 Whenever a LQR is sent, the LQR timer MUST be restarted.
2.8. Calculations
 Each time a Link-Quality-Report packet is received from the inbound
 link, the Link-Manager can compare the associated fields. The fields
 of the previous LQR can be subtracted from the current LQR values to
 obtain an absolute "delta", which allows comparision of the changes
 seen by each end of the link.
 If the received PeerInLQRs field is zero, the LastOut... fields are
 indeterminate, and the PeerIn... fields contain the initial values
 for the peer. No calculations using these fields can be performed at
 this time.
 Implementation Note:
 The following counters wrap to zero when their maximum value is
 reached. Care must be taken to ensure that correct "delta"
 calculations are performed at that time.
 The LastOutLQRs field may be directly compared with the PeerInLQRs
 field to determine how many outbound LQRs have been lost.
 The LastOutLQRs field may be directly compared with the OutLQRs
 counter to determine how many outbound LQRs are still in the
 pipeline.
 The change in PeerInPackets may be compared with the change in
 LastOutPackets to determine the number of lost packets over the
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RFC 1333 PPP Link Quality Monitoring May 1992
 outgoing link.
 The change in PeerInOctets may be compared with the change in
 LastOutOctets to determine the number of lost octets over the
 outgoing link.
 The change in SaveInPackets may be compared with the change in
 PeerOutPackets to determine the number of lost packets over the
 incoming link.
 The change in SaveInOctets may be compared with the change in
 PeerOutOctets to determine the number of lost octets over the
 incoming link.
 The change in the PeerInDiscards and PeerInErrors fields may be used
 to determine whether packet loss is due to congestion in the peer
 rather than physical link failure.
2.9. Failure Detection
 When the link is operating well in both directions of the link, the
 LQR is superfluous. The maximum time interval for transmitting LQRs
 SHOULD be chosen to minimally interfere with active traffic.
 When there is a measurable loss of data in either direction, if the
 overall throughput is adequate, conditions are not severe enough to
 warrant dropping the link. Sending LQRs faster will gain nothing,
 except to measure peaks in the loss rate. The time interval MUST be
 chosen to be long enough to have a good smoothing effect on the data,
 while short enough to ensure fast enough response to complete
 failure.
 When the link is good incoming, but very bad outgoing, incoming LQRs
 indicate a high loss on the outgoing side of the link. Sending LQRs
 faster won't help, because they are probably lost on the way to the
 peer.
 When the link is good outgoing, but very bad incoming, incoming LRQs
 will be frequently lost. In this case, LQRs SHOULD be sent at a
 faster rate. This primarily relies on the peer to make an informed
 policy decision. The peer will also send LQRs in response (due to
 the duplicate PeerInLQRs field), and some of those LQRs may
 successfully arrive.
 When a LQR does not arrive within the time expected, or the LQR
 received indicates that the links are truly bad, at least one
 additional LQR SHOULD be sent. An algorithmic decision requires at
 least 2 round trip intervals. The loss rate could be transient, due
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RFC 1333 PPP Link Quality Monitoring May 1992
 to a heavily loaded link, or a lost outgoing LQR.
2.10. Policy Suggestions
 Link-Quality-Report packets provide a mechanism to determine the link
 quality, but it is up to each implementation to decide when the link
 is usable. It is recommended that this policy implement some amount
 of hysteresis so that the link does not bounce up and down. One
 policy is to use a K out of N algorithm. In such an algorithm, there
 must be K successes out of the last N periods for the link to be
 considered of good quality.
 Procedures for recovery from poor quality links are unspecified and
 may vary from implementation to implementation. A suggested approach
 is to immediately close all other Network-Layer protocols (i.e.,
 cause IPCP to transmit a Terminate-Request), but to continue
 transmitting Link-Quality-Reports. Once the link quality again
 reaches an acceptable level, Network-Layer protocols can be
 reconfigured.
Security Considerations
 Security issues are not discussed in this memo.
References
 [1] Simpson, W., "The Point-to-Point Protocol", RFC 1331, May 1992.
 [2] McCloghrie, K., and M. Rose, "Management Information Base for
 Network Management of TCP/IP-based internets: MIB-II", RFC
 1213, March 1991.
 [3] Rose, M., and K. McCloghrie, "Structure and Identification of
 Management Information for TCP/IP-based Internets", RFC 1155,
 May 1990.
Acknowledgments
 Some of the text in this document is taken from RFC 1172, by Drew
 Perkins of Carnegie Mellon University, and by Russ Hobby of the
 University of California at Davis.
 Special thanks to Craig Fox (Network Systems), and Karl Fox (Morning
 Star Technologies), for design suggestions based on implementation
 experience.
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RFC 1333 PPP Link Quality Monitoring May 1992
Chair's Address
 The working group can be contacted via the current chair:
 Brian Lloyd
 Lloyd & Associates
 3420 Sudbury Road
 Cameron Park, California 95682
 Phone: (916) 676-1147
 EMail: brian@ray.lloyd.com
Author's Address
 Questions about this memo can also be directed to:
 William Allen Simpson
 Daydreamer
 Computer Systems Consulting Services
 P O Box 6205
 East Lansing, MI 48826-6025
 EMail: bsimpson@ray.lloyd.com
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