📄 rfc2498.txt
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Network Working Group J. MahdaviRequest for Comments: 2498 Pittsburgh Supercomputing CenterCategory: Experimental V. Paxson Lawrence Berkeley National Laboratory January 1999 IPPM Metrics for Measuring ConnectivityStatus of this Memo This memo defines an Experimental Protocol for the Internet community. It does not specify an Internet standard of any kind. Discussion and suggestions for improvement are requested. Distribution of this memo is unlimited.Copyright Notice Copyright (C) The Internet Society (1999). All Rights Reserved.1. Introduction Connectivity is the basic stuff from which the Internet is made. Therefore, metrics determining whether pairs of hosts (IP addresses) can reach each other must form the base of a measurement suite. We define several such metrics, some of which serve mainly as building blocks for the others. This memo defines a series of metrics for connectivity between a pair of Internet hosts. It builds on notions introduced and discussed in RFC 2330, the IPPM framework document. The reader is assumed to be familiar with that document. The structure of the memo is as follows: + An analytic metric, called Type-P-Instantaneous-Unidirectional- Connectivity, will be introduced to define one-way connectivity at one moment in time. + Using this metric, another analytic metric, called Type-P- Instantaneous-Bidirectional-Connectivity, will be introduced to define two-way connectivity at one moment in time. + Using these metrics, corresponding one- and two-way analytic metrics are defined for connectivity over an interval of time.Mahdavi & Paxson Experimental [Page 1]RFC 2498 IPPM Metrics for Measuring Connectivity January 1999 + Using these metrics, an analytic metric, called Type-P1-P2- Interval-Temporal-Connectivity, will be introduced to define a useful notion of two-way connectivity between two hosts over an interval of time. + Methodologies are then presented and discussed for estimating Type-P1-P2-Interval-Temporal-Connectivity in a variety of settings. Careful definition of Type-P1-P2-Interval-Temporal-Connectivity and the discussion of the metric and the methodologies for estimating it are the two chief contributions of the memo.2. Instantaneous One-way Connectivity2.1. Metric Name: Type-P-Instantaneous-Unidirectional-Connectivity2.2. Metric Parameters: + Src, the IP address of a host + Dst, the IP address of a host + T, a time2.3. Metric Units: Boolean.2.4. Definition: Src has *Type-P-Instantaneous-Unidirectional-Connectivity* to Dst at time T if a type-P packet transmitted from Src to Dst at time T will arrive at Dst.2.5. Discussion: For most applications (e.g., any TCP connection) bidirectional connectivity is considerably more germane than unidirectional connectivity, although unidirectional connectivity can be of interest for some security applications (e.g., testing whether a firewall correctly filters out a "ping of death"). Most applications also require connectivity over an interval, while this metric is instantaneous, though, again, for some security applications instantaneous connectivity remains of interest. Finally, one might not have instantaneous connectivity due to a transient event such as a full queue at a router, even if at nearby instants in time one does have connectivity. These points are addressed below, with this metric serving as a building block.Mahdavi & Paxson Experimental [Page 2]RFC 2498 IPPM Metrics for Measuring Connectivity January 1999 Note also that we have not explicitly defined *when* the packet arrives at Dst. The TTL field in IP packets is meant to limit IP packet lifetimes to 255 seconds (RFC 791). In practice the TTL field can be strictly a hop count (RFC 1812), with most Internet hops being much shorter than one second. This means that most packets will have nowhere near the 255 second lifetime. In principle, however, it is also possible that packets might survive longer than 255 seconds. Consideration of packet lifetimes must be taken into account in attempts to measure the value of this metric. Finally, one might assume that unidirectional connectivity is difficult to measure in the absence of connectivity in the reverse direction. Consider, however, the possibility that a process on Dst's host notes when it receives packets from Src and reports this fact either using an external channel, or later in time when Dst does have connectivity to Src. Such a methodology could reliably measure the unidirectional connectivity defined in this metric.3. Instantaneous Two-way Connectivity3.1. Metric Name: Type-P-Instantaneous-Bidirectional-Connectivity3.2. Metric Parameters: + A1, the IP address of a host + A2, the IP address of a host + T, a time3.3. Metric Units: Boolean.3.4. Definition: Addresses A1 and A2 have *Type-P-Instantaneous-Bidirectional- Connectivity* at time T if address A1 has Type-P-Instantaneous- Unidirectional-Connectivity to address A2 and address A2 has Type-P- Instantaneous-Unidirectional-Connectivity to address A1.3.5. Discussion: An alternative definition would be that A1 and A2 are fully connected if at time T address A1 has instantaneous connectivity to address A2, and at time T+dT address A2 has instantaneous connectivity to A1, where T+dT is when the packet sent from A1 arrives at A2. This definition is more useful for measurement, because the measurementMahdavi & Paxson Experimental [Page 3]RFC 2498 IPPM Metrics for Measuring Connectivity January 1999 can use a reply from A2 to A1 in order to assess full connectivity. It is a more complex definition, however, because it breaks the symmetry between A1 and A2, and requires a notion of quantifying how long a particular packet from A1 takes to reach A2. We postpone discussion of this distinction until the development of interval- connectivity metrics below.4. One-way Connectivity4.1. Metric Name: Type-P-Interval-Unidirectional-Connectivity4.2. Metric Parameters: + Src, the IP address of a host + Dst, the IP address of a host + T, a time + dT, a duration {Comment: Thus, the closed interval [T, T+dT] denotes a time interval.}4.3. Metric Units: Boolean.4.4. Definition: Address Src has *Type-P-Interval-Unidirectional-Connectivity* to address Dst during the interval [T, T+dT] if for some T' within [T, T+dT] it has Type-P-instantaneous-connectivity to Dst.5. Two-way Connectivity5.1. Metric Name: Type-P-Interval-Bidirectional-Connectivity5.2. Metric Parameters: + A1, the IP address of a host + A2, the IP address of a host + T, a time + dT, a duration {Comment: Thus, the closed interval [T, T+dT] denotes a time interval.}Mahdavi & Paxson Experimental [Page 4]RFC 2498 IPPM Metrics for Measuring Connectivity January 19995.3. Metric Units: Boolean.5.4. Definition: Addresses A1 and A2 have *Type-P-Interval-Bidirectional-Connectivity* between them during the interval [T, T+dT] if address A1 has Type-P- Interval-Unidirectional-Connectivity to address A2 during the interval and address A2 has Type-P-Interval-Unidirectional- Connectivity to address A1 during the interval.5.5. Discussion: This metric is not quite what's needed for defining "generally useful" connectivity - that requires the notion that a packet sent from A1 to A2 can elicit a response from A2 that will reach A1. With this definition, it could be that A1 and A2 have full-connectivity but only, for example, at time T1 early enough in the interval [T, T+dT] that A1 and A2 cannot reply to packets sent by the other. This deficiency motivates the next metric.6. Two-way Temporal Connectivity6.1. Metric Name: Type-P1-P2-Interval-Temporal-Connectivity6.2. Metric Parameters: + Src, the IP address of a host + Dst, the IP address of a host + T, a time + dT, a duration {Comment: Thus, the closed interval [T, T+dT] denotes a time interval.}6.3. Metric Units: Boolean.6.4. Definition: Address Src has *Type-P1-P2-Interval-Temporal-Connectivity* to address Dst during the interval [T, T+dT] if there exist times T1 and T2, and time intervals dT1 and dT2, such that:Mahdavi & Paxson Experimental [Page 5]
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