Abstract

Closed-form mathematical expressions of network performances, such as the mean packet delay, are useful for evaluating a communication network during the design process. This paper provides derivations of closed-form expressions of the mean packet delay for the gated service and the limited service of dynamic bandwidth allocation in Ethernet passive optical networks (EPONs). Based on the M/G/1 queueing analysis framework of a multiuser cyclic polling system, we derive the mean packet delay expressions by modifying the expressions for the reservation time component of the total delay. Results from simulation experiments confirm that our analysis can accurately predict the mean packet delay. Finally, we extend the analysis to demonstrate how the limited service can protect packets transmitted by a light-load user from having excessive delays due to high traffic loads from other users in the same EPON. The analytical results indicate that, in selecting the maximum length of a scheduling cycle for the limited service, there is a tradeoff between the mean packet delay under uniform traffic and the guaranteed upper bound on the mean packet delay under nonuniform traffic.

© 2010 IEEE

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  1. G. Kramer, G. Pesavento, "Ethernet passive optical network (EPON): Building a next-generation optical access network ," IEEE Commun. Mag. 40, 66-73 (2002).
  2. G. Kramer, Ethernet Passive Optical Networks (Mc-Graw Hill, 2005).
  3. J. Zheng, H. T. Mouftah, "Media access control for Ethernet passive optical networks: An overview," IEEE Commun. Mag. 2, 145 -150 (2005).
  4. G. Kramer, B. Mukherjee, G. Pesavento, "IPACT: A dynamic protocol for an Ethernet PON (EPON)," IEEE Commun. Mag. 40, 74-80 (2002).
  5. J. Zheng, H. T. Mouftah, "A survey of dynamic bandwidth allocation algorithms for Ethernet passive optical networks ," Opt. Switching Network. 6, 151-162 (2009).
  6. C. G. Park, D. H. Han, K. W. Rim, "Packet delay analysis of symmetric gated polling system for DBA scheme in an EPON," Telecommun. Syst. 30, 13 -34 (2005).
  7. S. Bhatia, D. Garbuzov, R. Bartos, "Analysis of the gated IPACT scheme for EPONs," Proc. IEEE Int. Conf. Commun. (2006) pp. 2693-2698.
  8. F. Aurzada, "Delay analysis of Ethernet passive optical networks with gated service," J. Opt. Netw. 7, 25-41 (2008).
  9. M. T. Ngo, A. Gravey, D. Bhadauria, "A mean value analysis approach for evaluating the performance of EPON with gated IPACT ," Proc. Int. Conf. Opt. Netw. Design Model. (2008) pp. 1-6.
  10. B. Lannoo, "Analytical model for the IPACT dynamic bandwidth allocation algorithm for EPONs," J. Opt. Netw. 6, 667-688 (2007).
  11. A. M. Al. Hanbali, R. de Haan, R. J. Boucherie, J. C. W. van Ommeren, "Time-limited and k-limited polling systems: A matrix analytic solution," Int. Workshop Tools for Solving Structured Markov Chains (SMCTools) Greece (2008).
  12. A. Banerjee, "Wavelength-division-multiplexed passive optical network (WDM-PON) technologies for broadband access: A review," J. Opt. Netw. 4, 737-758 (2005).
  13. M. P. McGarry, "Bandwidth management for WDM EPONs," J. Opt. Netw. 5, 637-654 (2006).
  14. F. Aurzada, "Towards a fundamental understanding of the stability and delay of offline WDM EPONs," J. Opt. Commun. Netw. 2, 51 -66 (2010).
  15. N. Antunes, C. Fricker, P. Robert, J. Roberts, "Traffic capacity of large WDM passive optical networks," Int. Teletraffic Congress AmsterdamNetherlands (2010).
  16. D. P. Bertsekas, R. G. Gallager, Data Networks (Prentice-Hall, 1992).
  17. G. Kramer, "On supporting differentiated classes of service in Ethernet passive optical networks ," J. Opt. Netw. 1, 280-298 (2002).
  18. O. J. Boxma, W. P. Groenendijk, "Pseudo-conservation laws in cyclic-service systems," J. Appl. Probabil. 24, 949-964 (1987).

2010 (1)

2009 (1)

J. Zheng, H. T. Mouftah, "A survey of dynamic bandwidth allocation algorithms for Ethernet passive optical networks ," Opt. Switching Network. 6, 151-162 (2009).

2008 (1)

2007 (1)

B. Lannoo, "Analytical model for the IPACT dynamic bandwidth allocation algorithm for EPONs," J. Opt. Netw. 6, 667-688 (2007).

2006 (1)

2005 (3)

A. Banerjee, "Wavelength-division-multiplexed passive optical network (WDM-PON) technologies for broadband access: A review," J. Opt. Netw. 4, 737-758 (2005).

C. G. Park, D. H. Han, K. W. Rim, "Packet delay analysis of symmetric gated polling system for DBA scheme in an EPON," Telecommun. Syst. 30, 13 -34 (2005).

J. Zheng, H. T. Mouftah, "Media access control for Ethernet passive optical networks: An overview," IEEE Commun. Mag. 2, 145 -150 (2005).

2002 (3)

G. Kramer, B. Mukherjee, G. Pesavento, "IPACT: A dynamic protocol for an Ethernet PON (EPON)," IEEE Commun. Mag. 40, 74-80 (2002).

G. Kramer, G. Pesavento, "Ethernet passive optical network (EPON): Building a next-generation optical access network ," IEEE Commun. Mag. 40, 66-73 (2002).

G. Kramer, "On supporting differentiated classes of service in Ethernet passive optical networks ," J. Opt. Netw. 1, 280-298 (2002).

1987 (1)

O. J. Boxma, W. P. Groenendijk, "Pseudo-conservation laws in cyclic-service systems," J. Appl. Probabil. 24, 949-964 (1987).

IEEE Commun. Mag. (3)

J. Zheng, H. T. Mouftah, "Media access control for Ethernet passive optical networks: An overview," IEEE Commun. Mag. 2, 145 -150 (2005).

G. Kramer, B. Mukherjee, G. Pesavento, "IPACT: A dynamic protocol for an Ethernet PON (EPON)," IEEE Commun. Mag. 40, 74-80 (2002).

G. Kramer, G. Pesavento, "Ethernet passive optical network (EPON): Building a next-generation optical access network ," IEEE Commun. Mag. 40, 66-73 (2002).

J. Appl. Probabil. (1)

O. J. Boxma, W. P. Groenendijk, "Pseudo-conservation laws in cyclic-service systems," J. Appl. Probabil. 24, 949-964 (1987).

J. Opt. Commun. Netw. (1)

J. Opt. Netw. (5)

Opt. Switching Network. (1)

J. Zheng, H. T. Mouftah, "A survey of dynamic bandwidth allocation algorithms for Ethernet passive optical networks ," Opt. Switching Network. 6, 151-162 (2009).

Telecommun. Syst. (1)

C. G. Park, D. H. Han, K. W. Rim, "Packet delay analysis of symmetric gated polling system for DBA scheme in an EPON," Telecommun. Syst. 30, 13 -34 (2005).

Other (6)

S. Bhatia, D. Garbuzov, R. Bartos, "Analysis of the gated IPACT scheme for EPONs," Proc. IEEE Int. Conf. Commun. (2006) pp. 2693-2698.

M. T. Ngo, A. Gravey, D. Bhadauria, "A mean value analysis approach for evaluating the performance of EPON with gated IPACT ," Proc. Int. Conf. Opt. Netw. Design Model. (2008) pp. 1-6.

G. Kramer, Ethernet Passive Optical Networks (Mc-Graw Hill, 2005).

A. M. Al. Hanbali, R. de Haan, R. J. Boucherie, J. C. W. van Ommeren, "Time-limited and k-limited polling systems: A matrix analytic solution," Int. Workshop Tools for Solving Structured Markov Chains (SMCTools) Greece (2008).

N. Antunes, C. Fricker, P. Robert, J. Roberts, "Traffic capacity of large WDM passive optical networks," Int. Teletraffic Congress AmsterdamNetherlands (2010).

D. P. Bertsekas, R. G. Gallager, Data Networks (Prentice-Hall, 1992).

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