Estimation of Link-Dependent Parameters in Optical Transport Networks From Statistical Models

Sudhir K. Routray; Gokhan Sahin; José R. Ferreira da Rocha; Armando N. Pinto

doi:10.1364/JOCN.6.000601

Journal of Optical Communications and Networking
Vol. 6,
Issue 7,
pp. 601-609
(2014)
•https://doi.org/10.1364/JOCN.6.000601

Estimation of Link-Dependent Parameters in Optical Transport Networks From Statistical Models

Sudhir K. Routray, Gokhan Sahin, José R. Ferreira da Rocha, and Armando N. Pinto

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Sudhir K. Routray, Gokhan Sahin, José R. Ferreira da Rocha, and Armando N. Pinto, "Estimation of Link-Dependent Parameters in Optical Transport Networks From Statistical Models," J. Opt. Commun. Netw. 6, 601-609 (2014)

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About this Article
History
- Original Manuscript: February 10, 2014
- Revised Manuscript: April 11, 2014
- Manuscript Accepted: April 24, 2014
- Published: June 13, 2014

Abstract

Estimation of link-dependent parameters of optical transport networks is quite complex without the availability of complete network information. However, at the network planning stage these estimations are to be done with incomplete information, and need to be accurate. In this paper, we provide effective methods to estimate link-dependent parameters of optical transport networks when only partial information about the network is available. We use the link length statistical distribution model for these estimations. This approach is applied to 40 real transport networks and shown to be more accurate than the previously proposed methods. The improved accuracy of the proposed methods is achieved without extra network details: only the network node locations and the total number of links are needed.

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No.	Network	$〈 l_{c} 〉$	UELL	ULLD	UALL	$C_{ULLD}$	$C_{UALL}$	$E_{ULLD} (%)$	$E_{UALL} (%)$
1	Via NET [1]	563	4S–6E–1Q–1B	4S–5E–2Q–1B	12E	11	6	8.33	50.00
2	BREN [1]	95	11S	11S	11S	11	11	0.00	0.00
3	RNP [1]	623	4S–4E–2Q–2B	4S–5E–3Q	12E	10	4	16.67	66.67
4	Abilene Core [1]	1104	2S–3E–6Q–2B	1S–4E–5Q–3B	13Q	11	6	15.38	53.85
5	LEARN [1]	198	11S–1E	11S–1E	12S	12	11	0.00	8.33
6	CompuServe [1]	1007	3S–3E–5Q–3B	2S–4E–6Q–2B	14Q	12	5	14.29	64.29
7	vBNS [1]	1017	3S–4E–6Q–4B	2S–5E–7Q–3B	17Q	15	6	11.76	64.71
8	CESNET [1]	87	19S	19S	19S	19	19	0.00	0.00
9	NSFNET [1]	894	3S–7E–6Q–5B	3S–7E–8Q–3B	21Q	19	6	9.52	71.43
10	ITALY [1]	241	22S–7E	25S–4E	29S	26	22	10.34	24.14
11	ACONET [1]	80	20S–2E	22S	22S	20	20	9.09	9.09
12	MZIMA [1]	908	4S–5E–8Q–2B	3S–7E–7Q–2B	19Q	17	8	10.53	57.89
13	GARR-B [1]	230	21S–6E	24S–3E	27S	24	21	11.11	22.22
14	ARNES [1]	36	20S	20S	20S	20	20	0.00	0.00
15	GERMANY [1]	142	26S	25S–1E	26S	25	26	3.85	0.00
16	REDIRIS [1]	218	21S–7E	25S–3E	28S	24	21	14.29	25.00
17	Lambada Rail [1]	782	6S–10E–6Q–1B	5S–9E–7Q–2B	23Q	21	6	8.70	73.91
18	MEMOREX [1]	150	24S	23S–1E	24S	23	24	4.17	0.00
19	CANARIE [1]	554	10S–10E–3Q–3B	10S–11E–5Q–1B	26E	24	10	7.69	61.54
20	EON [1]	717	9S–17E–9Q–2B	9S–15E–11Q–2B	37E	35	17	5.41	54.05
21	ARPANET [1]	704	4S–12E–13Q–3B	8S–13E–9Q–2B	32E	27	12	15.63	62.50
22	OPTOSunet [1]	101	24S	24S	24S	24	24	0.00	0.00
23	Hibernia USA [1]	323	20S–6E–1Q	19S–7E–1Q	27S	27	12	15.63	62.50
24	PIONIER [1]	123	25S	25S	25S	25	25	0.00	0.00
25	COX [1]	566	14S–17E–7Q–2B	14S–17E–8Q–1B	40E	39	17	2.50	57.50
26	SANET [1]	39	28S	28S	28S	28	28	0.00	0.00
27	NEWNET [1]	647	12S–12E–7Q	9S–13E–8Q–1B	31E	28	12	9.68	61.29
28	PORTUGAL [1]	230	32S–4Q	32S–4E	36S	32	32	11.11	11.11
29	RENATER [1]	162	34S–1E	34S–1E	35S	35	34	0.00	2.86
30	IBN31 [1]	143	51S	50S–1E	51S	50	51	1.96	0.00
31	BULGARIA [1]	65	33S	33S	33S	33	33	0.00	0.00
32	GEANT2 [1]	596	15S–22E–10Q–5B	17S–22E–11Q–2B	52E	49	22	5.77	57.69
33	LONI [1]	56	37S	37S	37S	37	37	0.00	0.00
34	Metrona [1]	84	41S	41S	41S	41	41	0.00	0.00
35	COST37 [1]	456	29S–22E–5Q–1B	28S–22E–7Q–1B	57E	56	22	1.75	61.40
36	CERNET [1]	510	17S–23E–9Q–4B	22S–22E–8Q–1B	53E	48	23	9.43	56.60
37	OMNICOM [1]	312	37S–16E–1Q	40S–12E–2Q	54S	50	37	7.41	31.48
38	INTERNET2 [1]	413	46S–12E–3Q	34S–21E–5Q–1B	61E	49	12	19.67	80.33
39	CORONET [1]	367	53S–35E–11Q	63S–30E–6Q–1B	99S	89	53	10.10	46.46
40	USA100 [2]	318	133S–35E–3Q	123S–41E–7Q	171S	161	133	5.85	22.22
Average:								6.64	32.11

No.	Network	$〈 l_{c} 〉$	UELL	ULLD	UALL	$C_{ULLD}$	$C_{UALL}$	$E_{ULLD} (%)$	$E_{UALL} (%)$
1	Via NET [1]	563	4S–6E–1Q–1B	4S–5E–2Q–1B	12E	11	6	8.33	50.00
2	BREN [1]	95	11S	11S	11S	11	11	0.00	0.00
3	RNP [1]	623	4S–4E–2Q–2B	4S–5E–3Q	12E	10	4	16.67	66.67
4	Abilene Core [1]	1104	2S–3E–6Q–2B	1S–4E–5Q–3B	13Q	11	6	15.38	53.85
5	LEARN [1]	198	11S–1E	11S–1E	12S	12	11	0.00	8.33
6	CompuServe [1]	1007	3S–3E–5Q–3B	2S–4E–6Q–2B	14Q	12	5	14.29	64.29
7	vBNS [1]	1017	3S–4E–6Q–4B	2S–5E–7Q–3B	17Q	15	6	11.76	64.71
8	CESNET [1]	87	19S	19S	19S	19	19	0.00	0.00
9	NSFNET [1]	894	3S–7E–6Q–5B	3S–7E–8Q–3B	21Q	19	6	9.52	71.43
10	ITALY [1]	241	22S–7E	25S–4E	29S	26	22	10.34	24.14
11	ACONET [1]	80	20S–2E	22S	22S	20	20	9.09	9.09
12	MZIMA [1]	908	4S–5E–8Q–2B	3S–7E–7Q–2B	19Q	17	8	10.53	57.89
13	GARR-B [1]	230	21S–6E	24S–3E	27S	24	21	11.11	22.22
14	ARNES [1]	36	20S	20S	20S	20	20	0.00	0.00
15	GERMANY [1]	142	26S	25S–1E	26S	25	26	3.85	0.00
16	REDIRIS [1]	218	21S–7E	25S–3E	28S	24	21	14.29	25.00
17	Lambada Rail [1]	782	6S–10E–6Q–1B	5S–9E–7Q–2B	23Q	21	6	8.70	73.91
18	MEMOREX [1]	150	24S	23S–1E	24S	23	24	4.17	0.00
19	CANARIE [1]	554	10S–10E–3Q–3B	10S–11E–5Q–1B	26E	24	10	7.69	61.54
20	EON [1]	717	9S–17E–9Q–2B	9S–15E–11Q–2B	37E	35	17	5.41	54.05
21	ARPANET [1]	704	4S–12E–13Q–3B	8S–13E–9Q–2B	32E	27	12	15.63	62.50
22	OPTOSunet [1]	101	24S	24S	24S	24	24	0.00	0.00
23	Hibernia USA [1]	323	20S–6E–1Q	19S–7E–1Q	27S	27	12	15.63	62.50
24	PIONIER [1]	123	25S	25S	25S	25	25	0.00	0.00
25	COX [1]	566	14S–17E–7Q–2B	14S–17E–8Q–1B	40E	39	17	2.50	57.50
26	SANET [1]	39	28S	28S	28S	28	28	0.00	0.00
27	NEWNET [1]	647	12S–12E–7Q	9S–13E–8Q–1B	31E	28	12	9.68	61.29
28	PORTUGAL [1]	230	32S–4Q	32S–4E	36S	32	32	11.11	11.11
29	RENATER [1]	162	34S–1E	34S–1E	35S	35	34	0.00	2.86
30	IBN31 [1]	143	51S	50S–1E	51S	50	51	1.96	0.00
31	BULGARIA [1]	65	33S	33S	33S	33	33	0.00	0.00
32	GEANT2 [1]	596	15S–22E–10Q–5B	17S–22E–11Q–2B	52E	49	22	5.77	57.69
33	LONI [1]	56	37S	37S	37S	37	37	0.00	0.00
34	Metrona [1]	84	41S	41S	41S	41	41	0.00	0.00
35	COST37 [1]	456	29S–22E–5Q–1B	28S–22E–7Q–1B	57E	56	22	1.75	61.40
36	CERNET [1]	510	17S–23E–9Q–4B	22S–22E–8Q–1B	53E	48	23	9.43	56.60
37	OMNICOM [1]	312	37S–16E–1Q	40S–12E–2Q	54S	50	37	7.41	31.48
38	INTERNET2 [1]	413	46S–12E–3Q	34S–21E–5Q–1B	61E	49	12	19.67	80.33
39	CORONET [1]	367	53S–35E–11Q	63S–30E–6Q–1B	99S	89	53	10.10	46.46
40	USA100 [2]	318	133S–35E–3Q	123S–41E–7Q	171S	161	133	5.85	22.22
Average:								6.64	32.11

Abstract

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Equations (29)

Journal of Optical Communications and Networking