draft-ietf-ippm-spatial-composition-04.txt | draft-ietf-ippm-spatial-composition-05.txt | |||
---|---|---|---|---|

Network Working Group A. Morton | Network Working Group A. Morton | |||

Internet-Draft AT&T Labs | Internet-Draft AT&T Labs | |||

Intended status: Standards Track E. Stephan | Intended status: Standards Track E. Stephan | |||

Expires: January 8, 2008 France Telecom Division R&D | Expires: May 8, 2008 France Telecom Division R&D | |||

July 7, 2007 | November 5, 2007 | |||

Spatial Composition of Metrics | Spatial Composition of Metrics | |||

draft-ietf-ippm-spatial-composition-04 | draft-ietf-ippm-spatial-composition-05 | |||

Status of this Memo | Status of this Memo | |||

By submitting this Internet-Draft, each author represents that any | By submitting this Internet-Draft, each author represents that any | |||

applicable patent or other IPR claims of which he or she is aware | applicable patent or other IPR claims of which he or she is aware | |||

have been or will be disclosed, and any of which he or she becomes | have been or will be disclosed, and any of which he or she becomes | |||

aware will be disclosed, in accordance with Section 6 of BCP 79. | aware will be disclosed, in accordance with Section 6 of BCP 79. | |||

Internet-Drafts are working documents of the Internet Engineering | Internet-Drafts are working documents of the Internet Engineering | |||

Task Force (IETF), its areas, and its working groups. Note that | Task Force (IETF), its areas, and its working groups. Note that | |||

skipping to change at page 1, line 35 | skipping to change at page 1, line 35 | |||

and may be updated, replaced, or obsoleted by other documents at any | and may be updated, replaced, or obsoleted by other documents at any | |||

time. It is inappropriate to use Internet-Drafts as reference | time. It is inappropriate to use Internet-Drafts as reference | |||

material or to cite them other than as "work in progress." | material or to cite them other than as "work in progress." | |||

The list of current Internet-Drafts can be accessed at | The list of current Internet-Drafts can be accessed at | |||

http://www.ietf.org/ietf/1id-abstracts.txt. | http://www.ietf.org/ietf/1id-abstracts.txt. | |||

The list of Internet-Draft Shadow Directories can be accessed at | The list of Internet-Draft Shadow Directories can be accessed at | |||

http://www.ietf.org/shadow.html. | http://www.ietf.org/shadow.html. | |||

This Internet-Draft will expire on January 8, 2008. | This Internet-Draft will expire on May 8, 2008. | |||

Copyright Notice | Copyright Notice | |||

Copyright (C) The IETF Trust (2007). | Copyright (C) The IETF Trust (2007). | |||

Abstract | Abstract | |||

This memo utilizes IPPM metrics that are applicable to both complete | This memo utilizes IPPM metrics that are applicable to both complete | |||

paths and sub-paths, and defines relationships to compose a complete | paths and sub-paths, and defines relationships to compose a complete | |||

path metric from the sub-path metrics with some accuracy w.r.t. the | path metric from the sub-path metrics with some accuracy w.r.t. the | |||

skipping to change at page 2, line 30 | skipping to change at page 2, line 30 | |||

3.1. Scope of work . . . . . . . . . . . . . . . . . . . . . . 6 | 3.1. Scope of work . . . . . . . . . . . . . . . . . . . . . . 6 | |||

3.2. Application . . . . . . . . . . . . . . . . . . . . . . . 6 | 3.2. Application . . . . . . . . . . . . . . . . . . . . . . . 6 | |||

3.3. Incomplete Information . . . . . . . . . . . . . . . . . . 6 | 3.3. Incomplete Information . . . . . . . . . . . . . . . . . . 6 | |||

4. Common Specifications for Composed Metrics . . . . . . . . . . 7 | 4. Common Specifications for Composed Metrics . . . . . . . . . . 7 | |||

4.1. Name: Type-P . . . . . . . . . . . . . . . . . . . . . . . 7 | 4.1. Name: Type-P . . . . . . . . . . . . . . . . . . . . . . . 7 | |||

4.1.1. Metric Parameters . . . . . . . . . . . . . . . . . . 7 | 4.1.1. Metric Parameters . . . . . . . . . . . . . . . . . . 7 | |||

4.1.2. Definition and Metric Units . . . . . . . . . . . . . 8 | 4.1.2. Definition and Metric Units . . . . . . . . . . . . . 8 | |||

4.1.3. Discussion and other details . . . . . . . . . . . . . 8 | 4.1.3. Discussion and other details . . . . . . . . . . . . . 8 | |||

4.1.4. Statistic: . . . . . . . . . . . . . . . . . . . . . . 8 | 4.1.4. Statistic: . . . . . . . . . . . . . . . . . . . . . . 8 | |||

4.1.5. Composition Function . . . . . . . . . . . . . . . . . 8 | 4.1.5. Composition Function . . . . . . . . . . . . . . . . . 8 | |||

4.1.6. Statement of Conjecture . . . . . . . . . . . . . . . 8 | 4.1.6. Statement of Conjecture and Assumptions . . . . . . . 8 | |||

4.1.7. Justification of the Composition Function . . . . . . 8 | 4.1.7. Justification of the Composition Function . . . . . . 8 | |||

4.1.8. Sources of Deviation from the Ground Truth . . . . . . 9 | 4.1.8. Sources of Deviation from the Ground Truth . . . . . . 9 | |||

4.1.9. Specific cases where the conjecture might fail . . . . 9 | 4.1.9. Specific cases where the conjecture might fail . . . . 9 | |||

4.1.10. Application of Measurement Methodology . . . . . . . . 9 | 4.1.10. Application of Measurement Methodology . . . . . . . . 9 | |||

5. One-way Delay Composed Metrics and Statistics . . . . . . . . 10 | 5. One-way Delay Composed Metrics and Statistics . . . . . . . . 10 | |||

5.1. Name: | 5.1. Name: | |||

Type-P-Finite-One-way-Delay-Poisson/Periodic-Stream . . . 10 | Type-P-Finite-One-way-Delay-Poisson/Periodic-Stream . . . 10 | |||

5.1.1. Metric Parameters . . . . . . . . . . . . . . . . . . 10 | 5.1.1. Metric Parameters . . . . . . . . . . . . . . . . . . 10 | |||

5.1.2. Definition and Metric Units . . . . . . . . . . . . . 10 | 5.1.2. Definition and Metric Units . . . . . . . . . . . . . 10 | |||

5.1.3. Discussion and other details . . . . . . . . . . . . . 10 | 5.1.3. Discussion and other details . . . . . . . . . . . . . 10 | |||

5.2. Name: Type-P-Finite-Composite-One-way-Delay-Mean . . . . . 11 | 5.2. Name: Type-P-Finite-Composite-One-way-Delay-Mean . . . . . 11 | |||

5.2.1. Metric Parameters . . . . . . . . . . . . . . . . . . 11 | 5.2.1. Metric Parameters . . . . . . . . . . . . . . . . . . 11 | |||

5.2.2. Definition and Metric Units of the Mean Statistic . . 11 | 5.2.2. Definition and Metric Units of the Mean Statistic . . 11 | |||

5.2.3. Discussion and other details . . . . . . . . . . . . . 11 | 5.2.3. Discussion and other details . . . . . . . . . . . . . 11 | |||

5.2.4. Composition Function: Sum of Means . . . . . . . . . . 11 | 5.2.4. Composition Function: Sum of Means . . . . . . . . . . 11 | |||

5.2.5. Statement of Conjecture . . . . . . . . . . . . . . . 12 | 5.2.5. Statement of Conjecture and Assumptions . . . . . . . 12 | |||

5.2.6. Justification of the Composition Function . . . . . . 12 | 5.2.6. Justification of the Composition Function . . . . . . 12 | |||

5.2.7. Sources of Deviation from the Ground Truth . . . . . . 12 | 5.2.7. Sources of Deviation from the Ground Truth . . . . . . 12 | |||

5.2.8. Specific cases where the conjecture might fail . . . . 12 | 5.2.8. Specific cases where the conjecture might fail . . . . 12 | |||

5.2.9. Application of Measurement Methodology . . . . . . . . 12 | 5.2.9. Application of Measurement Methodology . . . . . . . . 12 | |||

5.3. Name: Type-P-Finite-Composite-One-way-Delay-Minimum . . . 12 | 5.3. Name: Type-P-Finite-Composite-One-way-Delay-Minimum . . . 12 | |||

5.3.1. Metric Parameters . . . . . . . . . . . . . . . . . . 13 | 5.3.1. Metric Parameters . . . . . . . . . . . . . . . . . . 13 | |||

5.3.2. Definition and Metric Units of the Mean Statistic . . 13 | 5.3.2. Definition and Metric Units of the Mean Statistic . . 13 | |||

5.3.3. Discussion and other details . . . . . . . . . . . . . 13 | 5.3.3. Discussion and other details . . . . . . . . . . . . . 13 | |||

5.3.4. Composition Function: Sum of Means . . . . . . . . . . 13 | 5.3.4. Composition Function: Sum of Means . . . . . . . . . . 13 | |||

5.3.5. Statement of Conjecture . . . . . . . . . . . . . . . 13 | 5.3.5. Statement of Conjecture and Assumptions . . . . . . . 14 | |||

5.3.6. Justification of the Composition Function . . . . . . 14 | 5.3.6. Justification of the Composition Function . . . . . . 14 | |||

5.3.7. Sources of Deviation from the Ground Truth . . . . . . 14 | 5.3.7. Sources of Deviation from the Ground Truth . . . . . . 14 | |||

5.3.8. Specific cases where the conjecture might fail . . . . 14 | 5.3.8. Specific cases where the conjecture might fail . . . . 14 | |||

5.3.9. Application of Measurement Methodology . . . . . . . . 14 | 5.3.9. Application of Measurement Methodology . . . . . . . . 14 | |||

6. Loss Metrics and Statistics . . . . . . . . . . . . . . . . . 14 | 6. Loss Metrics and Statistics . . . . . . . . . . . . . . . . . 14 | |||

6.1. Type-P-Composite-One-way-Packet-Loss-Empirical-Probability 14 | 6.1. Type-P-Composite-One-way-Packet-Loss-Empirical-Probability 14 | |||

6.1.1. Metric Parameters: . . . . . . . . . . . . . . . . . . 14 | 6.1.1. Metric Parameters: . . . . . . . . . . . . . . . . . . 14 | |||

6.1.2. Definition and Metric Units . . . . . . . . . . . . . 14 | 6.1.2. Definition and Metric Units . . . . . . . . . . . . . 14 | |||

6.1.3. Discussion and other details . . . . . . . . . . . . . 15 | 6.1.3. Discussion and other details . . . . . . . . . . . . . 15 | |||

6.1.4. Statistic: | 6.1.4. Statistic: | |||

Type-P-One-way-Packet-Loss-Empirical-Probability . . . 15 | Type-P-One-way-Packet-Loss-Empirical-Probability . . . 15 | |||

6.1.5. Composition Function: Composition of Empirical | 6.1.5. Composition Function: Composition of Empirical | |||

Probabilities . . . . . . . . . . . . . . . . . . . . 15 | Probabilities . . . . . . . . . . . . . . . . . . . . 15 | |||

6.1.6. Statement of Conjecture . . . . . . . . . . . . . . . 15 | 6.1.6. Statement of Conjecture and Assumptions . . . . . . . 15 | |||

6.1.7. Justification of the Composition Function . . . . . . 15 | 6.1.7. Justification of the Composition Function . . . . . . 16 | |||

6.1.8. Sources of Deviation from the Ground Truth . . . . . . 16 | 6.1.8. Sources of Deviation from the Ground Truth . . . . . . 16 | |||

6.1.9. Specific cases where the conjecture might fail . . . . 16 | 6.1.9. Specific cases where the conjecture might fail . . . . 16 | |||

6.1.10. Application of Measurement Methodology . . . . . . . . 16 | 6.1.10. Application of Measurement Methodology . . . . . . . . 16 | |||

7. Delay Variation Metrics and Statistics . . . . . . . . . . . . 16 | 7. Delay Variation Metrics and Statistics . . . . . . . . . . . . 16 | |||

7.1. Name: Type-P-One-way-pdv-refmin-Poisson/Periodic-Stream . 16 | 7.1. Name: Type-P-One-way-pdv-refmin-Poisson/Periodic-Stream . 16 | |||

7.1.1. Metric Parameters: . . . . . . . . . . . . . . . . . . 16 | 7.1.1. Metric Parameters: . . . . . . . . . . . . . . . . . . 16 | |||

7.1.2. Definition and Metric Units . . . . . . . . . . . . . 17 | 7.1.2. Definition and Metric Units . . . . . . . . . . . . . 17 | |||

7.1.3. Discussion and other details . . . . . . . . . . . . . 17 | 7.1.3. Discussion and other details . . . . . . . . . . . . . 17 | |||

7.1.4. Statistics: Mean, Variance, Skewness, Quanitle . . . . 17 | 7.1.4. Statistics: Mean, Variance, Skewness, Quanitle . . . . 18 | |||

7.1.5. Composition Functions: . . . . . . . . . . . . . . . . 18 | 7.1.5. Composition Functions: . . . . . . . . . . . . . . . . 18 | |||

7.1.6. Statement of Conjecture . . . . . . . . . . . . . . . 19 | 7.1.6. Statement of Conjecture and Assumptions . . . . . . . 19 | |||

7.1.7. Justification of the Composition Function . . . . . . 19 | 7.1.7. Justification of the Composition Function . . . . . . 20 | |||

7.1.8. Sources of Deviation from the Ground Truth . . . . . . 19 | 7.1.8. Sources of Deviation from the Ground Truth . . . . . . 20 | |||

7.1.9. Specific cases where the conjecture might fail . . . . 20 | 7.1.9. Specific cases where the conjecture might fail . . . . 20 | |||

7.1.10. Application of Measurement Methodology . . . . . . . . 20 | 7.1.10. Application of Measurement Methodology . . . . . . . . 20 | |||

8. Security Considerations . . . . . . . . . . . . . . . . . . . 20 | 8. Security Considerations . . . . . . . . . . . . . . . . . . . 20 | |||

8.1. Denial of Service Attacks . . . . . . . . . . . . . . . . 20 | 8.1. Denial of Service Attacks . . . . . . . . . . . . . . . . 20 | |||

8.2. User Data Confidentiality . . . . . . . . . . . . . . . . 20 | 8.2. User Data Confidentiality . . . . . . . . . . . . . . . . 21 | |||

8.3. Interference with the metrics . . . . . . . . . . . . . . 21 | 8.3. Interference with the metrics . . . . . . . . . . . . . . 21 | |||

9. IANA Considerations . . . . . . . . . . . . . . . . . . . . . 21 | 9. IANA Considerations . . . . . . . . . . . . . . . . . . . . . 21 | |||

10. Issues (Open and Closed) . . . . . . . . . . . . . . . . . . . 21 | 10. Issues (Open and Closed) . . . . . . . . . . . . . . . . . . . 21 | |||

11. Acknowledgements . . . . . . . . . . . . . . . . . . . . . . . 22 | 11. Acknowledgements . . . . . . . . . . . . . . . . . . . . . . . 22 | |||

12. References . . . . . . . . . . . . . . . . . . . . . . . . . . 22 | 12. References . . . . . . . . . . . . . . . . . . . . . . . . . . 23 | |||

12.1. Normative References . . . . . . . . . . . . . . . . . . . 22 | 12.1. Normative References . . . . . . . . . . . . . . . . . . . 23 | |||

12.2. Informative References . . . . . . . . . . . . . . . . . . 23 | 12.2. Informative References . . . . . . . . . . . . . . . . . . 23 | |||

Authors' Addresses . . . . . . . . . . . . . . . . . . . . . . . . 23 | Authors' Addresses . . . . . . . . . . . . . . . . . . . . . . . . 23 | |||

Intellectual Property and Copyright Statements . . . . . . . . . . 25 | Intellectual Property and Copyright Statements . . . . . . . . . . 25 | |||

1. Contributors | 1. Contributors | |||

Thus far, the following people have contributed useful ideas, | Thus far, the following people have contributed useful ideas, | |||

suggestions, or the text of sections that have been incorporated into | suggestions, or the text of sections that have been incorporated into | |||

this memo: | this memo: | |||

skipping to change at page 4, line 49 | skipping to change at page 4, line 49 | |||

The main purpose of this memo is to define the deterministic | The main purpose of this memo is to define the deterministic | |||

functions that yield the complete path metrics using metrics of the | functions that yield the complete path metrics using metrics of the | |||

sub-paths. The effectiveness of such metrics is dependent on their | sub-paths. The effectiveness of such metrics is dependent on their | |||

usefulness in analysis and applicability with practical measurement | usefulness in analysis and applicability with practical measurement | |||

methods. | methods. | |||

The relationships may involve conjecture, and [RFC2330] lists four | The relationships may involve conjecture, and [RFC2330] lists four | |||

points that the metric definitions should include: | points that the metric definitions should include: | |||

o the specific conjecture applied to the metric, | o the specific conjecture applied to the metric and assumptions of | |||

the statistical model of the process being measured (if any, see | ||||

[RFC2330] section 12), | ||||

o a justification of the practical utility of the composition in | o a justification of the practical utility of the composition in | |||

terms of making accurate measurements of the metric on the path, | terms of making accurate measurements of the metric on the path, | |||

o a justification of the usefulness of the composition in terms of | o a justification of the usefulness of the composition in terms of | |||

making analysis of the path using A-frame concepts more effective, | making analysis of the path using A-frame concepts more effective, | |||

and | and | |||

o an analysis of how the conjecture could be incorrect. | o an analysis of how the conjecture could be incorrect. | |||

Also, [RFC2330] gives an example where a conjecture that the delay of | Also, [RFC2330] gives an example where a conjecture that the delay of | |||

skipping to change at page 8, line 33 | skipping to change at page 8, line 33 | |||

This section is unique for every metric. | This section is unique for every metric. | |||

4.1.4. Statistic: | 4.1.4. Statistic: | |||

This section is unique for every metric. | This section is unique for every metric. | |||

4.1.5. Composition Function | 4.1.5. Composition Function | |||

This section is unique for every metric. | This section is unique for every metric. | |||

4.1.6. Statement of Conjecture | 4.1.6. Statement of Conjecture and Assumptions | |||

This section is unique for each metric. | This section is unique for each metric. | |||

4.1.7. Justification of the Composition Function | 4.1.7. Justification of the Composition Function | |||

It is sometimes impractical to conduct active measurements between | It is sometimes impractical to conduct active measurements between | |||

every Src-Dst pair. Since the full mesh of N measurement points | every Src-Dst pair. Since the full mesh of N measurement points | |||

grows as N x N, the scope of measurement may be limited by testing | grows as N x N, the scope of measurement may be limited by testing | |||

resources. | resources. | |||

skipping to change at page 9, line 43 | skipping to change at page 9, line 43 | |||

This section is unique for each metric. | This section is unique for each metric. | |||

4.1.10. Application of Measurement Methodology | 4.1.10. Application of Measurement Methodology | |||

The methodology: | The methodology: | |||

SHOULD use similar packets sent and collected separately in each sub- | SHOULD use similar packets sent and collected separately in each sub- | |||

path. | path. | |||

Allows a degree of flexibility (e.g., active or passive methods can | Allows a degree of flexibility regarding test stream generation | |||

produce the "same" metric, but timing and correlation of passive | (e.g., active or passive methods can produce an equivalent result, | |||

measurements is much more challenging). | but the lack of control over the source, timing and correlation of | |||

passive measurements is much more challenging). | ||||

Poisson and/or Periodic streams are RECOMMENDED. | Poisson and/or Periodic streams are RECOMMENDED. | |||

Applies to both Inter-domain and Intra-domain composition. | Applies to both Inter-domain and Intra-domain composition. | |||

SHOULD have synchronized measurement time intervals in all sub-paths, | SHOULD have synchronized measurement time intervals in all sub-paths, | |||

but largely overlapping intervals MAY suffice. | but largely overlapping intervals MAY suffice. | |||

REQUIRES assumption of sub-path independence w.r.t. the metric being | REQUIRES assumption of sub-path independence w.r.t. the metric being | |||

defined/composed. | defined/composed. | |||

skipping to change at page 12, line 13 | skipping to change at page 12, line 13 | |||

Then the | Then the | |||

Type-P-Finite-Composite-One-way-Delay-Mean = | Type-P-Finite-Composite-One-way-Delay-Mean = | |||

S | S | |||

--- | --- | |||

\ | \ | |||

CompMeanDelay = > (MeanDelay [i]) | CompMeanDelay = > (MeanDelay [i]) | |||

/ | / | |||

--- | --- | |||

i = 1 | i = 1 | |||

5.2.5. Statement of Conjecture | 5.2.5. Statement of Conjecture and Assumptions | |||

The mean of a sufficiently large stream of packets measured on each | The mean of a sufficiently large stream of packets measured on each | |||

sub-path during the interval [T, Tf] will be representative of the | sub-path during the interval [T, Tf] will be representative of the | |||

true mean of the delay distribution (and the distributions themselves | true mean of the delay distribution (and the distributions themselves | |||

are sufficiently independent), such that the means may be added to | are sufficiently independent), such that the means may be added to | |||

produce an estimate of the complete path mean delay. | produce an estimate of the complete path mean delay. | |||

It is assumed that the one-way delay distributions of the sub-paths | ||||

and the complete path are continuous. | ||||

5.2.6. Justification of the Composition Function | 5.2.6. Justification of the Composition Function | |||

See the common section. | See the common section. | |||

5.2.7. Sources of Deviation from the Ground Truth | 5.2.7. Sources of Deviation from the Ground Truth | |||

See the common section. | See the common section. | |||

5.2.8. Specific cases where the conjecture might fail | 5.2.8. Specific cases where the conjecture might fail | |||

skipping to change at page 13, line 48 | skipping to change at page 14, line 5 | |||

Type-P-Finite-Composite-One-way-Delay-Minimum = | Type-P-Finite-Composite-One-way-Delay-Minimum = | |||

S | S | |||

--- | --- | |||

\ | \ | |||

CompMinDelay = > (MinDelay [i]) | CompMinDelay = > (MinDelay [i]) | |||

/ | / | |||

--- | --- | |||

i = 1 | i = 1 | |||

5.3.5. Statement of Conjecture | 5.3.5. Statement of Conjecture and Assumptions | |||

The minimum of a sufficiently large stream of packets measured on | The minimum of a sufficiently large stream of packets measured on | |||

each sub-path during the interval [T, Tf] will be representative of | each sub-path during the interval [T, Tf] will be representative of | |||

the true minimum of the delay distribution (and the distributions | the true minimum of the delay distribution (and the distributions | |||

themselves are sufficiently independent), such that the minima may be | themselves are sufficiently independent), such that the minima may be | |||

added to produce an estimate of the complete path minimum delay. | added to produce an estimate of the complete path minimum delay. | |||

It is assumed that the one-way delay distributions of the sub-paths | ||||

and the complete path are continuous. | ||||

5.3.6. Justification of the Composition Function | 5.3.6. Justification of the Composition Function | |||

See the common section. | See the common section. | |||

5.3.7. Sources of Deviation from the Ground Truth | 5.3.7. Sources of Deviation from the Ground Truth | |||

See the common section. | See the common section. | |||

5.3.8. Specific cases where the conjecture might fail | 5.3.8. Specific cases where the conjecture might fail | |||

skipping to change at page 15, line 39 | skipping to change at page 15, line 44 | |||

Epn) as | Epn) as | |||

Type-P-Composite-One-way-Packet-Loss-Empirical-Probability = | Type-P-Composite-One-way-Packet-Loss-Empirical-Probability = | |||

CompEp = 1 - {(1 - Ep1) x (1 - Ep2) x (1 - Ep3) x ... x (1 - Epn)} | CompEp = 1 - {(1 - Ep1) x (1 - Ep2) x (1 - Ep3) x ... x (1 - Epn)} | |||

If any Epn is undefined in a particular measurement interval, | If any Epn is undefined in a particular measurement interval, | |||

possibly because a measurement system failed to report a value, then | possibly because a measurement system failed to report a value, then | |||

any CompEp that uses sub-path n for that measurement interval is | any CompEp that uses sub-path n for that measurement interval is | |||

undefined. | undefined. | |||

6.1.6. Statement of Conjecture | 6.1.6. Statement of Conjecture and Assumptions | |||

The empirical probability of loss calculated on a sufficiently large | The empirical probability of loss calculated on a sufficiently large | |||

stream of packets measured on each sub-path during the interval [T, | stream of packets measured on each sub-path during the interval [T, | |||

Tf] will be representative of the true loss probability (and the | Tf] will be representative of the true empirical loss probability | |||

probabilities themselves are sufficiently independent), such that the | (and the probabilities themselves are sufficiently independent), such | |||

sub-path probabilities may be combined to produce an estimate of the | that the sub-path probabilities may be combined to produce an | |||

complete path loss probability. | estimate of the complete path empirical loss probability. | |||

6.1.7. Justification of the Composition Function | 6.1.7. Justification of the Composition Function | |||

See the common section. | See the common section. | |||

6.1.8. Sources of Deviation from the Ground Truth | 6.1.8. Sources of Deviation from the Ground Truth | |||

See the common section. | See the common section. | |||

6.1.9. Specific cases where the conjecture might fail | 6.1.9. Specific cases where the conjecture might fail | |||

skipping to change at page 19, line 36 | skipping to change at page 19, line 37 | |||

distributions. | distributions. | |||

7.1.5.2. Normal Power Approximation | 7.1.5.2. Normal Power Approximation | |||

Type-P-One-way-Composite-pdv-refmin-NPA for the complete Source to | Type-P-One-way-Composite-pdv-refmin-NPA for the complete Source to | |||

Destination path can be calculated by combining statistics of all the | Destination path can be calculated by combining statistics of all the | |||

constituent sub-paths in the following process: | constituent sub-paths in the following process: | |||

< see [Y.1541] clause 8 and Appendix X > | < see [Y.1541] clause 8 and Appendix X > | |||

7.1.6. Statement of Conjecture | 7.1.6. Statement of Conjecture and Assumptions | |||

The delay distribution of a sufficiently large stream of packets | The delay distribution of a sufficiently large stream of packets | |||

measured on each sub-path during the interval [T, Tf] will be | measured on each sub-path during the interval [T, Tf] will be | |||

sufficiently stationary and the sub-path distributions themselves are | sufficiently stationary and the sub-path distributions themselves are | |||

sufficiently independent, so that summary information describing the | sufficiently independent, so that summary information describing the | |||

sub-path distributions can be combined to estimate the delay | sub-path distributions can be combined to estimate the delay | |||

distribution of complete path. | distribution of complete path. | |||

It is assumed that the one-way delay distributions of the sub-paths | ||||

and the complete path are continuous. | ||||

7.1.7. Justification of the Composition Function | 7.1.7. Justification of the Composition Function | |||

See the common section. | See the common section. | |||

7.1.8. Sources of Deviation from the Ground Truth | 7.1.8. Sources of Deviation from the Ground Truth | |||

In addition to the common deviations, a few additional sources exist | In addition to the common deviations, a few additional sources exist | |||

here. For one, very tight distributions with range on the order of a | here. For one, very tight distributions with range on the order of a | |||

few milliseconds are not accurately represented by a histogram with 1 | few milliseconds are not accurately represented by a histogram with 1 | |||

ms bins. This size was chosen assuming an implicit requirement on | ms bins. This size was chosen assuming an implicit requirement on | |||

skipping to change at page 22, line 42 | skipping to change at page 23, line 8 | |||

>>>>>>>>>>>>>>>>RESOLUTION: No and Yes. | >>>>>>>>>>>>>>>>RESOLUTION: No and Yes. | |||

11. Acknowledgements | 11. Acknowledgements | |||

12. References | 12. References | |||

12.1. Normative References | 12.1. Normative References | |||

[I-D.ietf-ippm-framework-compagg] | [I-D.ietf-ippm-framework-compagg] | |||

Morton, A. and S. Berghe, "Framework for Metric | Morton, A., "Framework for Metric Composition", | |||

Composition", draft-ietf-ippm-framework-compagg-03 (work | draft-ietf-ippm-framework-compagg-04 (work in progress), | |||

in progress), March 2007. | July 2007. | |||

[RFC2119] Bradner, S., "Key words for use in RFCs to Indicate | [RFC2119] Bradner, S., "Key words for use in RFCs to Indicate | |||

Requirement Levels", BCP 14, RFC 2119, March 1997. | Requirement Levels", BCP 14, RFC 2119, March 1997. | |||

[RFC2330] Paxson, V., Almes, G., Mahdavi, J., and M. Mathis, | [RFC2330] Paxson, V., Almes, G., Mahdavi, J., and M. Mathis, | |||

"Framework for IP Performance Metrics", RFC 2330, | "Framework for IP Performance Metrics", RFC 2330, | |||

May 1998. | May 1998. | |||

[RFC2679] Almes, G., Kalidindi, S., and M. Zekauskas, "A One-way | [RFC2679] Almes, G., Kalidindi, S., and M. Zekauskas, "A One-way | |||

Delay Metric for IPPM", RFC 2679, September 1999. | Delay Metric for IPPM", RFC 2679, September 1999. | |||

[RFC2680] Almes, G., Kalidindi, S., and M. Zekauskas, "A One-way | [RFC2680] Almes, G., Kalidindi, S., and M. Zekauskas, "A One-way | |||

Packet Loss Metric for IPPM", RFC 2680, September 1999. | Packet Loss Metric for IPPM", RFC 2680, September 1999. | |||

[RFC3393] Demichelis, C. and P. Chimento, "IP Packet Delay Variation | [RFC3393] Demichelis, C. and P. Chimento, "IP Packet Delay Variation | |||

Metric for IP Performance Metrics (IPPM)", RFC 3393, | Metric for IP Performance Metrics (IPPM)", RFC 3393, | |||

November 2002. | November 2002. | |||

[RFC3432] Raisanen, V., Grotefeld, G., and A. Morton, "Network | ||||

performance measurement with periodic streams", RFC 3432, | ||||

November 2002. | ||||

[RFC4148] Stephan, E., "IP Performance Metrics (IPPM) Metrics | [RFC4148] Stephan, E., "IP Performance Metrics (IPPM) Metrics | |||

Registry", BCP 108, RFC 4148, August 2005. | Registry", BCP 108, RFC 4148, August 2005. | |||

12.2. Informative References | 12.2. Informative References | |||

[I-D.ietf-ippm-multimetrics] | [I-D.ietf-ippm-multimetrics] | |||

Stephan, E., "IP Performance Metrics (IPPM) for spatial | Stephan, E., "IP Performance Metrics (IPPM) for spatial | |||

and multicast", draft-ietf-ippm-multimetrics-04 (work in | and multicast", draft-ietf-ippm-multimetrics-04 (work in | |||

progress), July 2007. | progress), July 2007. | |||

End of changes. 24 change blocks. | ||||

36 lines changed or deleted | | 44 lines changed or added | ||

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