Abstract

Optical access systems are now considered a feasible alternative to the predominant broadband access technologies, while, at the same time, passive optical networks (PONs) are viewed as an attractive and promising type of fiber access system. In this paper we present and analyze three basic dynamic wavelength allocation scenarios for a hybrid wavelength division multiplexing–time division multiple access (WDM–TDMA) PON. We propose new teletraffic loss models for calculating call-level performance measures, like connection failure probabilities (due to unavailability of a wavelength) and call blocking probabilities (due to the restricted bandwidth capacity of a wavelength). The PON accommodates bursty service-classes of ON–OFF traffic. The proposed models are extracted from one-dimensional Markov chains, which describe the wavelength occupancy in the PON, and two-dimensional Markov chains, which describe the bandwidth occupancy inside a wavelength. The accuracy of the proposed models is validated through simulation and is found to be quite satisfactory. Moreover, these models are computationally efficient because they are based on recursive formulas.

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  1. B. Mukherjee, Optical WDM Networks, Springer, 2006.
  2. F. Effenberger, D. Cleary, O. Haran, G. Kramer, R. D. Li, M. Oron, and T. Pfeiffer, "An introduction to PON technologies," IEEE Commun. Mag. 45, (3), S17‒S25 (2007).
    [CrossRef]
  3. K. Grobe and J.-P. Elbers, "PON in adolescence: from TDMA to WDM-PON," IEEE Commun. Mag. 46, (1), 26‒34 (2008).
    [CrossRef]
  4. T. Koonen, "Fiber to the home/fiber to the premises: what, where, and when?," Proc. IEEE 94, (5), 911‒934 (2006).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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  11. Y.-Y. Won, H.-C. Kwon, M.-K. Hong, and S.-K. Han, "Bidirectional colorless gigabit WDM-passive optical networks by use of injection locking and optical carrier suppression," Opt. Fiber Technol. 15, (1), 10‒14 (2009).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  15. J. S. Vardakas, V. G. Vassilakis, and M. D. Logothetis, "Blocking analysis in hybrid TDM-WDM passive optical networks supporting elastic traffic," Proc. of 4th AICT 2008, 2008, Athens, Greece.
  16. J. S. Vardakas, V. G. Vassilakis, and M. D. Logothetis, "Blocking analysis in hybrid TDM-WDM passive optical networks," Proc. of 5t HET-NETs 2008, 2008, Karlskrona, Sweden.
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    [CrossRef]
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    [CrossRef]
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  21. Simscript II.5, http://www.simscript.com/
  22. Wolfram Research, Inc., Mathematica, Version 5.2, Champaign, IL, 2005

2010 (1)

2009 (2)

M. Maier, "WDM Passive optical networks and beyond: the road ahead [Invited]," J. Opt. Commun. Netw. 1, (4), C1‒C16 (2009).
[CrossRef]

Y.-Y. Won, H.-C. Kwon, M.-K. Hong, and S.-K. Han, "Bidirectional colorless gigabit WDM-passive optical networks by use of injection locking and optical carrier suppression," Opt. Fiber Technol. 15, (1), 10‒14 (2009).
[CrossRef]

2008 (1)

K. Grobe and J.-P. Elbers, "PON in adolescence: from TDMA to WDM-PON," IEEE Commun. Mag. 46, (1), 26‒34 (2008).
[CrossRef]

2007 (4)

2006 (2)

G. Talli and P. D. Townsend, "Hybrid DWDM-TDM long-reach PON for next-generation optical access," J. Lightwave Technol. 24, 2827‒2834 (2006).
[CrossRef]

T. Koonen, "Fiber to the home/fiber to the premises: what, where, and when?," Proc. IEEE 94, (5), 911‒934 (2006).
[CrossRef]

2005 (2)

I. Moscholios, M. Logothetis, and G. Kokkinakis, "Call-burst blocking of ON–OFF traffic sources with retrials under the complete sharing policy," Perform. Eval. 59, (4), 279‒312 (2005).
[CrossRef]

A. Banerjee, Y. Park, F. Clarke, H. Song, S. Yang, G. Kramer, K. Kim, and B. Mukherjee, "Wavelength-division-multiplexed passive optical network (WDM-PON) technologies for broadband access: a review," J. Opt. Netw. 4, (11), 737‒758 (2005).
[CrossRef]

1999 (1)

M. A. Asrin, "Call-burst blocking and call admission control in a broadband network with bursty sources," Perform. Eval. 38, (1), 1‒19 (1999).
[CrossRef]

Akimaru, H.

H. Akimaru and K. Kawashima, Teletraffic—Theory and Applications, Springer Verlag, Berlin, Germany, 1993.

Asrin, M. A.

M. A. Asrin, "Call-burst blocking and call admission control in a broadband network with bursty sources," Perform. Eval. 38, (1), 1‒19 (1999).
[CrossRef]

Assi, C. M.

Aurzada, F.

Banerjee, A.

Chan, C.-K.

J. Zhao, L.-K. Chen, and C.-K. Chan, "A novel re-modulation scheme to achieve colorless high-speed WDM-PON with enhanced tolerance to chromatic dispersion and re-modulation misalignment," Optical Fiber Communication Conf., 2007, Anaheim, CA.

Chanclou, P.

F. Payoux, P. Chanclou, T. Soret, and N. Genay, "Demonstration of a RSOA-based wavelength remodulation scheme in 1.25 Gbit/s bidirectional hybrid WDM-TDM PON," Optical Fiber Communication Conf., 2006, Anaheim, CA.

Chen, L.-K.

J. Zhao, L.-K. Chen, and C.-K. Chan, "A novel re-modulation scheme to achieve colorless high-speed WDM-PON with enhanced tolerance to chromatic dispersion and re-modulation misalignment," Optical Fiber Communication Conf., 2007, Anaheim, CA.

Clarke, F.

Cleary, D.

F. Effenberger, D. Cleary, O. Haran, G. Kramer, R. D. Li, M. Oron, and T. Pfeiffer, "An introduction to PON technologies," IEEE Commun. Mag. 45, (3), S17‒S25 (2007).
[CrossRef]

Colle, D.

Demeester, P.

Dhaini, A. R.

Effenberger, F.

F. Effenberger, D. Cleary, O. Haran, G. Kramer, R. D. Li, M. Oron, and T. Pfeiffer, "An introduction to PON technologies," IEEE Commun. Mag. 45, (3), S17‒S25 (2007).
[CrossRef]

Elbers, J.-P.

K. Grobe and J.-P. Elbers, "PON in adolescence: from TDMA to WDM-PON," IEEE Commun. Mag. 46, (1), 26‒34 (2008).
[CrossRef]

Gagnaire, M.

Genay, N.

F. Payoux, P. Chanclou, T. Soret, and N. Genay, "Demonstration of a RSOA-based wavelength remodulation scheme in 1.25 Gbit/s bidirectional hybrid WDM-TDM PON," Optical Fiber Communication Conf., 2006, Anaheim, CA.

Grobe, K.

K. Grobe and J.-P. Elbers, "PON in adolescence: from TDMA to WDM-PON," IEEE Commun. Mag. 46, (1), 26‒34 (2008).
[CrossRef]

Han, S.-K.

Y.-Y. Won, H.-C. Kwon, M.-K. Hong, and S.-K. Han, "Bidirectional colorless gigabit WDM-passive optical networks by use of injection locking and optical carrier suppression," Opt. Fiber Technol. 15, (1), 10‒14 (2009).
[CrossRef]

Haran, O.

F. Effenberger, D. Cleary, O. Haran, G. Kramer, R. D. Li, M. Oron, and T. Pfeiffer, "An introduction to PON technologies," IEEE Commun. Mag. 45, (3), S17‒S25 (2007).
[CrossRef]

Hong, M.-K.

Y.-Y. Won, H.-C. Kwon, M.-K. Hong, and S.-K. Han, "Bidirectional colorless gigabit WDM-passive optical networks by use of injection locking and optical carrier suppression," Opt. Fiber Technol. 15, (1), 10‒14 (2009).
[CrossRef]

Kawashima, K.

H. Akimaru and K. Kawashima, Teletraffic—Theory and Applications, Springer Verlag, Berlin, Germany, 1993.

Kim, K.

Kokkinakis, G.

I. Moscholios, M. Logothetis, and G. Kokkinakis, "Call-burst blocking of ON–OFF traffic sources with retrials under the complete sharing policy," Perform. Eval. 59, (4), 279‒312 (2005).
[CrossRef]

Koonen, T.

T. Koonen, "Fiber to the home/fiber to the premises: what, where, and when?," Proc. IEEE 94, (5), 911‒934 (2006).
[CrossRef]

Kramer, G.

Kwon, H.-C.

Y.-Y. Won, H.-C. Kwon, M.-K. Hong, and S.-K. Han, "Bidirectional colorless gigabit WDM-passive optical networks by use of injection locking and optical carrier suppression," Opt. Fiber Technol. 15, (1), 10‒14 (2009).
[CrossRef]

Lannoo, B.

Li, R. D.

F. Effenberger, D. Cleary, O. Haran, G. Kramer, R. D. Li, M. Oron, and T. Pfeiffer, "An introduction to PON technologies," IEEE Commun. Mag. 45, (3), S17‒S25 (2007).
[CrossRef]

Logothetis, M.

I. Moscholios, M. Logothetis, and G. Kokkinakis, "Call-burst blocking of ON–OFF traffic sources with retrials under the complete sharing policy," Perform. Eval. 59, (4), 279‒312 (2005).
[CrossRef]

Logothetis, M. D.

J. S. Vardakas, V. G. Vassilakis, and M. D. Logothetis, "Blocking analysis in hybrid TDM-WDM passive optical networks supporting elastic traffic," Proc. of 4th AICT 2008, 2008, Athens, Greece.

J. S. Vardakas, V. G. Vassilakis, and M. D. Logothetis, "Blocking analysis in hybrid TDM-WDM passive optical networks," Proc. of 5t HET-NETs 2008, 2008, Karlskrona, Sweden.

Maier, M.

Moscholios, I.

I. Moscholios, M. Logothetis, and G. Kokkinakis, "Call-burst blocking of ON–OFF traffic sources with retrials under the complete sharing policy," Perform. Eval. 59, (4), 279‒312 (2005).
[CrossRef]

Mukherjee, B.

Oron, M.

F. Effenberger, D. Cleary, O. Haran, G. Kramer, R. D. Li, M. Oron, and T. Pfeiffer, "An introduction to PON technologies," IEEE Commun. Mag. 45, (3), S17‒S25 (2007).
[CrossRef]

Park, Y.

Payoux, F.

F. Payoux, P. Chanclou, T. Soret, and N. Genay, "Demonstration of a RSOA-based wavelength remodulation scheme in 1.25 Gbit/s bidirectional hybrid WDM-TDM PON," Optical Fiber Communication Conf., 2006, Anaheim, CA.

Pfeiffer, T.

F. Effenberger, D. Cleary, O. Haran, G. Kramer, R. D. Li, M. Oron, and T. Pfeiffer, "An introduction to PON technologies," IEEE Commun. Mag. 45, (3), S17‒S25 (2007).
[CrossRef]

Pickavet, M.

Reisslein, M.

Scheutzow, M.

Shami, A.

Simmons, J. M.

Song, H.

Soret, T.

F. Payoux, P. Chanclou, T. Soret, and N. Genay, "Demonstration of a RSOA-based wavelength remodulation scheme in 1.25 Gbit/s bidirectional hybrid WDM-TDM PON," Optical Fiber Communication Conf., 2006, Anaheim, CA.

Talli, G.

Townsend, P. D.

Vardakas, J. S.

J. S. Vardakas, V. G. Vassilakis, and M. D. Logothetis, "Blocking analysis in hybrid TDM-WDM passive optical networks," Proc. of 5t HET-NETs 2008, 2008, Karlskrona, Sweden.

J. S. Vardakas, V. G. Vassilakis, and M. D. Logothetis, "Blocking analysis in hybrid TDM-WDM passive optical networks supporting elastic traffic," Proc. of 4th AICT 2008, 2008, Athens, Greece.

Vassilakis, V. G.

J. S. Vardakas, V. G. Vassilakis, and M. D. Logothetis, "Blocking analysis in hybrid TDM-WDM passive optical networks supporting elastic traffic," Proc. of 4th AICT 2008, 2008, Athens, Greece.

J. S. Vardakas, V. G. Vassilakis, and M. D. Logothetis, "Blocking analysis in hybrid TDM-WDM passive optical networks," Proc. of 5t HET-NETs 2008, 2008, Karlskrona, Sweden.

Verslegers, L.

Won, Y.-Y.

Y.-Y. Won, H.-C. Kwon, M.-K. Hong, and S.-K. Han, "Bidirectional colorless gigabit WDM-passive optical networks by use of injection locking and optical carrier suppression," Opt. Fiber Technol. 15, (1), 10‒14 (2009).
[CrossRef]

Yang, S.

Zhao, J.

J. Zhao, L.-K. Chen, and C.-K. Chan, "A novel re-modulation scheme to achieve colorless high-speed WDM-PON with enhanced tolerance to chromatic dispersion and re-modulation misalignment," Optical Fiber Communication Conf., 2007, Anaheim, CA.

IEEE Commun. Mag. (2)

F. Effenberger, D. Cleary, O. Haran, G. Kramer, R. D. Li, M. Oron, and T. Pfeiffer, "An introduction to PON technologies," IEEE Commun. Mag. 45, (3), S17‒S25 (2007).
[CrossRef]

K. Grobe and J.-P. Elbers, "PON in adolescence: from TDMA to WDM-PON," IEEE Commun. Mag. 46, (1), 26‒34 (2008).
[CrossRef]

J. Lightwave Technol. (3)

J. Opt. Commun. Netw. (2)

J. Opt. Netw. (2)

Opt. Fiber Technol. (1)

Y.-Y. Won, H.-C. Kwon, M.-K. Hong, and S.-K. Han, "Bidirectional colorless gigabit WDM-passive optical networks by use of injection locking and optical carrier suppression," Opt. Fiber Technol. 15, (1), 10‒14 (2009).
[CrossRef]

Perform. Eval. (2)

M. A. Asrin, "Call-burst blocking and call admission control in a broadband network with bursty sources," Perform. Eval. 38, (1), 1‒19 (1999).
[CrossRef]

I. Moscholios, M. Logothetis, and G. Kokkinakis, "Call-burst blocking of ON–OFF traffic sources with retrials under the complete sharing policy," Perform. Eval. 59, (4), 279‒312 (2005).
[CrossRef]

Proc. IEEE (1)

T. Koonen, "Fiber to the home/fiber to the premises: what, where, and when?," Proc. IEEE 94, (5), 911‒934 (2006).
[CrossRef]

Other (9)

Ethernet in the First Mile Study Group, IEEE std. 802.3ah-2004, 2004 [Online]. Available: http://www.ieee802.org/3/efm/public/index.html

J. Zhao, L.-K. Chen, and C.-K. Chan, "A novel re-modulation scheme to achieve colorless high-speed WDM-PON with enhanced tolerance to chromatic dispersion and re-modulation misalignment," Optical Fiber Communication Conf., 2007, Anaheim, CA.

J. S. Vardakas, V. G. Vassilakis, and M. D. Logothetis, "Blocking analysis in hybrid TDM-WDM passive optical networks supporting elastic traffic," Proc. of 4th AICT 2008, 2008, Athens, Greece.

J. S. Vardakas, V. G. Vassilakis, and M. D. Logothetis, "Blocking analysis in hybrid TDM-WDM passive optical networks," Proc. of 5t HET-NETs 2008, 2008, Karlskrona, Sweden.

F. Payoux, P. Chanclou, T. Soret, and N. Genay, "Demonstration of a RSOA-based wavelength remodulation scheme in 1.25 Gbit/s bidirectional hybrid WDM-TDM PON," Optical Fiber Communication Conf., 2006, Anaheim, CA.

H. Akimaru and K. Kawashima, Teletraffic—Theory and Applications, Springer Verlag, Berlin, Germany, 1993.

Simscript II.5, http://www.simscript.com/

Wolfram Research, Inc., Mathematica, Version 5.2, Champaign, IL, 2005

B. Mukherjee, Optical WDM Networks, Springer, 2006.

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