Abstract

We provide here a new loss model for an optical hybrid switch that can function as an optical burst switch and/or optical circuit switch. Our model is general as it considers an implementation whereby some of the circuits have preemptive priority over bursts and others are allowed to queue their reservations. We first present an analysis based on a 3-dimension state-space Markov chain that provides exact results for the blocking probabilities of bursts and circuits, the proportion of circuits that are delayed and the mean delay of the circuits that are delayed. Because it is difficult to exactly compute the blocking probability in realistic scenarios with a large number of wavelengths, we derive computationally a scalable and accurate approximations based on reducing the 3-dimension state space into a single dimension. These scalable approximations that can produce performance results in a fraction of a second can readily enable switch dimensioning. Extensive numerical results are presented to demonstrate the accuracy and the use of the new approximations.

© 2006 Optical Society of America

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References

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  1. C. Xin, C. Qiao, Y. Ye, and S. Dixit, “A hybrid optical switching approach,” in Proceedings of IEEE GLOBECOM 2003,  7, 3808–3812, Dec. (2003).
  2. G. M. Lee, B. Wydrowski, M. Zukerman, J. K. Choi, and C. H. Foh, “Performance Evaluation of an Optical Hybrid Switching System,” in Proceedings of IEEE GLOBECOM 2003 5, 2508–2512, Dec. (2003).
  3. H. L. Vu, A. Zalesky, E.W. M. Wong, Z. Rosberg, S. M. H. Bilgrami, M. Zukerman, and R. S. Tucker. “Scalable Performance Evaluation of a Hybrid Optical Switch,” J. Lightwave Technol,  23, 2961–2973, Oct. (2005).
    [Crossref]
  4. E. W. M. Wong and M. Zukerman, “Performance evaluation for an optical hybrid switch with circuit queued reservations,” Opt. Express 13, 9446–9459 (2005), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-23-9446
    [Crossref] [PubMed]
  5. E. W. M. Wong and M. Zukerman, “Analysis of an optical hybrid switch,” IEEE Commun. Lett.,  10, 108–110, February (2006).
    [Crossref]
  6. M. Yoo and C. Qiao, “Just-enough-time (JET): A high speed protocol for bursty traffic in optical networks,” in Proceeding of IEEE/LEOS Conf. on Technologies For a Global Information Infrastructure, 26–27, Aug. (1997).
  7. C. Qiao and M. Yoo, “Optical Burst Switching (OBS): A New Paradigm for an Optical Internet,” J. High Speed Nets. 8, 69–84, Jan. (1999).
  8. J. Turner, “Terabit Burst Switching,” J. High Speed Nets. 8, 3–16, Mar. (1999).
  9. S. Verma, H. Chaskar, and R. Ravikanth “Optical Burst Switching: A Viable Solution for Terabit IP Backbone,” IEEE Network, 48–53, Nov./Dec. (2000).
  10. A. Detti, V. Eramo, and M. Listanti, “Performance evaluation of a new technique for IP support in aWDMoptical network: optical composite burst switching (OCBS),” J. Lightwave Technol. 20, 154–165, Feb. (2002).
    [Crossref]
  11. T. Battestilli and H. Perros, “An Introduction to Optical Burst Switching,” IEEE Commun. Mag. 41, S10–S15, Aug. (2003).
    [Crossref]
  12. Y. Chen, C. Qiao, and X. Yu, “Optical Burst Switching (OBS): A New Area in Optical Networking Research,” IEEE Network Magazine 18, 16–23, May/June (2004).
    [Crossref]
  13. A. Zalesky, E. W. M. Wong, M. Zukerman, H. L. Vu, and R. S. Tucker, “Performance Analysis of an OBS Edge Router,” IEEE Photonic Technol. Lett. 16, 695–697, Feb. (2004).
    [Crossref]
  14. M. Duser and P. Bayvel, “Analysis of a Dynamically Wavelength Routed Optical Burst Switched Network Architecture,” J. Lightwave Technol. 20, 574–585, Apr. (2002).
    [Crossref]
  15. A. Zalesky, E. W. M. Wong, H. L. Vu, M. Zukerman, Z. Rosberg, and M. S. Bilgrami, “Performance evaluation of a hybrid optical switch,” in Proc. ITC19, Aug./Sep. (2005).
  16. A. Leon-Garcia, R. H. Kwong, and G. F. Williams, “Performance Evaluation Methods for an Integrated Voice/Data Link,” IEEE Trans. Commun. 30, 1848–1858, August (1982).
    [Crossref]
  17. M. Zukerman, “Circuit allocation and overload control in a hybrid switching system,” Computer Networks and ISDN Systems 16, 281–298, (1989).
    [Crossref]
  18. Z. Rosberg, H. L. Vu, M. Zukerman, and J. White, “Performance analyses of optical burst-switching networks,” J. Sel. Areas Commun. 21, 1187–1197, Sept. (2003).
    [Crossref]
  19. H. L. Vu and M. Zukerman, “Blocking Probability for Priority Classes in Optical Burst Switching Networks,” IEEE Commun. Lett. 6, 214–216, May (2002).
    [Crossref]
  20. J. White, M. Zukerman, and H. L. Vu, “A framework for optical burst switching network design,” IEEE Commun. Lett. 6, 268–270, Jun (2002).
    [Crossref]
  21. M. C. Yuang, P. L. Tien, and J. Shih, “QoS Scheduler/Shaper for Optical Coarse Packet Switching IP-over-WDM Networks,” J. Sel. Areas Commun. 22, Nov. (2004).
    [Crossref]
  22. N. Barakat and E. H. Sargent, “Dual-header optical burst switching: a new architecture for WDM burst-switched networks,” in Proc. IEEE INFOCOM’05, March (2005).
  23. I. Baldine, G. N. Rouskas, H. G. Perros, and D. Stevenson, “JumpStart: A just-in-time signaling architecture for WDM burst-switched networks,” IEEE Commun. Mag., 82–89, February (2002).
    [Crossref]
  24. N. Barakat and E. H. Sargent, “Analytical modeling of offset-induced priority in multiclass OBS networks,” IEEE Trans. Commun. 53, 1343–1352, Aug. (2005).
    [Crossref]
  25. M. Yoo, C. Qiao, and S. Dixit, “Optical burst switching for service differentiation in the next-generation optical internet,” IEEE Commun. Mag. 39, 98–104, Feb. (2001).
    [Crossref]
  26. M. Yoo and C. Qiao, “Supporting multiple classes of services in IP over WDM networks,” in Proc. Globecom 1999, 1023–1027, Dec. (1999).
  27. K. Dolzer, C. Gauger, J. Spth, and S. Bodamer, “Evaluation of reservation mechanisms for optical burst switching,” AEÜ Int. J. Electron. Commun. 55, 18–26, Jan. (2001).
    [Crossref]
  28. P. Taylor and R. Maillardet, “Queues with reservations,” Presented at the Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) 2005 meeting, Napier, New Zealand, Jan./Feb. (2005).
    [PubMed]
  29. T. Engset, “Die wahrscheinlichkeitsrechnung zur bestimmung der wahleranzahl in automatischen fernsprechamtern” Elektrotechnische zeitschrift 39, 304–306, Aug. (1918).
  30. J. Hui, Switching and Traffic Theory for Integrated Broadband Networks, Kluwer Academic Press (1990).
  31. M. Zukerman, E. W. M. Wong, Z. Rosberg, G. M. Lee, and H. L. Vu, “On Teletraffic Application to OBS,” IEEE Commun. Lett. 8, 116–118, Feb. (2004).
    [Crossref]
  32. H. Overby “Performance modelling of optical packet switched networks with the Engset traffic model,” Opt. Express 13, 1685–1695 (2005), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-5-1685
    [Crossref] [PubMed]

2006 (1)

E. W. M. Wong and M. Zukerman, “Analysis of an optical hybrid switch,” IEEE Commun. Lett.,  10, 108–110, February (2006).
[Crossref]

2005 (4)

H. L. Vu, A. Zalesky, E.W. M. Wong, Z. Rosberg, S. M. H. Bilgrami, M. Zukerman, and R. S. Tucker. “Scalable Performance Evaluation of a Hybrid Optical Switch,” J. Lightwave Technol,  23, 2961–2973, Oct. (2005).
[Crossref]

N. Barakat and E. H. Sargent, “Analytical modeling of offset-induced priority in multiclass OBS networks,” IEEE Trans. Commun. 53, 1343–1352, Aug. (2005).
[Crossref]

H. Overby “Performance modelling of optical packet switched networks with the Engset traffic model,” Opt. Express 13, 1685–1695 (2005), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-5-1685
[Crossref] [PubMed]

E. W. M. Wong and M. Zukerman, “Performance evaluation for an optical hybrid switch with circuit queued reservations,” Opt. Express 13, 9446–9459 (2005), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-23-9446
[Crossref] [PubMed]

2004 (4)

M. C. Yuang, P. L. Tien, and J. Shih, “QoS Scheduler/Shaper for Optical Coarse Packet Switching IP-over-WDM Networks,” J. Sel. Areas Commun. 22, Nov. (2004).
[Crossref]

Y. Chen, C. Qiao, and X. Yu, “Optical Burst Switching (OBS): A New Area in Optical Networking Research,” IEEE Network Magazine 18, 16–23, May/June (2004).
[Crossref]

A. Zalesky, E. W. M. Wong, M. Zukerman, H. L. Vu, and R. S. Tucker, “Performance Analysis of an OBS Edge Router,” IEEE Photonic Technol. Lett. 16, 695–697, Feb. (2004).
[Crossref]

M. Zukerman, E. W. M. Wong, Z. Rosberg, G. M. Lee, and H. L. Vu, “On Teletraffic Application to OBS,” IEEE Commun. Lett. 8, 116–118, Feb. (2004).
[Crossref]

2003 (4)

T. Battestilli and H. Perros, “An Introduction to Optical Burst Switching,” IEEE Commun. Mag. 41, S10–S15, Aug. (2003).
[Crossref]

Z. Rosberg, H. L. Vu, M. Zukerman, and J. White, “Performance analyses of optical burst-switching networks,” J. Sel. Areas Commun. 21, 1187–1197, Sept. (2003).
[Crossref]

C. Xin, C. Qiao, Y. Ye, and S. Dixit, “A hybrid optical switching approach,” in Proceedings of IEEE GLOBECOM 2003,  7, 3808–3812, Dec. (2003).

G. M. Lee, B. Wydrowski, M. Zukerman, J. K. Choi, and C. H. Foh, “Performance Evaluation of an Optical Hybrid Switching System,” in Proceedings of IEEE GLOBECOM 2003 5, 2508–2512, Dec. (2003).

2002 (4)

H. L. Vu and M. Zukerman, “Blocking Probability for Priority Classes in Optical Burst Switching Networks,” IEEE Commun. Lett. 6, 214–216, May (2002).
[Crossref]

J. White, M. Zukerman, and H. L. Vu, “A framework for optical burst switching network design,” IEEE Commun. Lett. 6, 268–270, Jun (2002).
[Crossref]

A. Detti, V. Eramo, and M. Listanti, “Performance evaluation of a new technique for IP support in aWDMoptical network: optical composite burst switching (OCBS),” J. Lightwave Technol. 20, 154–165, Feb. (2002).
[Crossref]

M. Duser and P. Bayvel, “Analysis of a Dynamically Wavelength Routed Optical Burst Switched Network Architecture,” J. Lightwave Technol. 20, 574–585, Apr. (2002).
[Crossref]

2001 (2)

M. Yoo, C. Qiao, and S. Dixit, “Optical burst switching for service differentiation in the next-generation optical internet,” IEEE Commun. Mag. 39, 98–104, Feb. (2001).
[Crossref]

K. Dolzer, C. Gauger, J. Spth, and S. Bodamer, “Evaluation of reservation mechanisms for optical burst switching,” AEÜ Int. J. Electron. Commun. 55, 18–26, Jan. (2001).
[Crossref]

1999 (2)

C. Qiao and M. Yoo, “Optical Burst Switching (OBS): A New Paradigm for an Optical Internet,” J. High Speed Nets. 8, 69–84, Jan. (1999).

J. Turner, “Terabit Burst Switching,” J. High Speed Nets. 8, 3–16, Mar. (1999).

1989 (1)

M. Zukerman, “Circuit allocation and overload control in a hybrid switching system,” Computer Networks and ISDN Systems 16, 281–298, (1989).
[Crossref]

1982 (1)

A. Leon-Garcia, R. H. Kwong, and G. F. Williams, “Performance Evaluation Methods for an Integrated Voice/Data Link,” IEEE Trans. Commun. 30, 1848–1858, August (1982).
[Crossref]

1918 (1)

T. Engset, “Die wahrscheinlichkeitsrechnung zur bestimmung der wahleranzahl in automatischen fernsprechamtern” Elektrotechnische zeitschrift 39, 304–306, Aug. (1918).

Baldine, I.

I. Baldine, G. N. Rouskas, H. G. Perros, and D. Stevenson, “JumpStart: A just-in-time signaling architecture for WDM burst-switched networks,” IEEE Commun. Mag., 82–89, February (2002).
[Crossref]

Barakat, N.

N. Barakat and E. H. Sargent, “Analytical modeling of offset-induced priority in multiclass OBS networks,” IEEE Trans. Commun. 53, 1343–1352, Aug. (2005).
[Crossref]

N. Barakat and E. H. Sargent, “Dual-header optical burst switching: a new architecture for WDM burst-switched networks,” in Proc. IEEE INFOCOM’05, March (2005).

Battestilli, T.

T. Battestilli and H. Perros, “An Introduction to Optical Burst Switching,” IEEE Commun. Mag. 41, S10–S15, Aug. (2003).
[Crossref]

Bayvel, P.

Bilgrami, M. S.

A. Zalesky, E. W. M. Wong, H. L. Vu, M. Zukerman, Z. Rosberg, and M. S. Bilgrami, “Performance evaluation of a hybrid optical switch,” in Proc. ITC19, Aug./Sep. (2005).

Bilgrami, S. M. H.

H. L. Vu, A. Zalesky, E.W. M. Wong, Z. Rosberg, S. M. H. Bilgrami, M. Zukerman, and R. S. Tucker. “Scalable Performance Evaluation of a Hybrid Optical Switch,” J. Lightwave Technol,  23, 2961–2973, Oct. (2005).
[Crossref]

Bodamer, S.

K. Dolzer, C. Gauger, J. Spth, and S. Bodamer, “Evaluation of reservation mechanisms for optical burst switching,” AEÜ Int. J. Electron. Commun. 55, 18–26, Jan. (2001).
[Crossref]

Chaskar, H.

S. Verma, H. Chaskar, and R. Ravikanth “Optical Burst Switching: A Viable Solution for Terabit IP Backbone,” IEEE Network, 48–53, Nov./Dec. (2000).

Chen, Y.

Y. Chen, C. Qiao, and X. Yu, “Optical Burst Switching (OBS): A New Area in Optical Networking Research,” IEEE Network Magazine 18, 16–23, May/June (2004).
[Crossref]

Choi, J. K.

G. M. Lee, B. Wydrowski, M. Zukerman, J. K. Choi, and C. H. Foh, “Performance Evaluation of an Optical Hybrid Switching System,” in Proceedings of IEEE GLOBECOM 2003 5, 2508–2512, Dec. (2003).

Detti, A.

Dixit, S.

C. Xin, C. Qiao, Y. Ye, and S. Dixit, “A hybrid optical switching approach,” in Proceedings of IEEE GLOBECOM 2003,  7, 3808–3812, Dec. (2003).

M. Yoo, C. Qiao, and S. Dixit, “Optical burst switching for service differentiation in the next-generation optical internet,” IEEE Commun. Mag. 39, 98–104, Feb. (2001).
[Crossref]

Dolzer, K.

K. Dolzer, C. Gauger, J. Spth, and S. Bodamer, “Evaluation of reservation mechanisms for optical burst switching,” AEÜ Int. J. Electron. Commun. 55, 18–26, Jan. (2001).
[Crossref]

Duser, M.

Engset, T.

T. Engset, “Die wahrscheinlichkeitsrechnung zur bestimmung der wahleranzahl in automatischen fernsprechamtern” Elektrotechnische zeitschrift 39, 304–306, Aug. (1918).

Eramo, V.

Foh, C. H.

G. M. Lee, B. Wydrowski, M. Zukerman, J. K. Choi, and C. H. Foh, “Performance Evaluation of an Optical Hybrid Switching System,” in Proceedings of IEEE GLOBECOM 2003 5, 2508–2512, Dec. (2003).

Gauger, C.

K. Dolzer, C. Gauger, J. Spth, and S. Bodamer, “Evaluation of reservation mechanisms for optical burst switching,” AEÜ Int. J. Electron. Commun. 55, 18–26, Jan. (2001).
[Crossref]

Hui, J.

J. Hui, Switching and Traffic Theory for Integrated Broadband Networks, Kluwer Academic Press (1990).

Kwong, R. H.

A. Leon-Garcia, R. H. Kwong, and G. F. Williams, “Performance Evaluation Methods for an Integrated Voice/Data Link,” IEEE Trans. Commun. 30, 1848–1858, August (1982).
[Crossref]

Lee, G. M.

M. Zukerman, E. W. M. Wong, Z. Rosberg, G. M. Lee, and H. L. Vu, “On Teletraffic Application to OBS,” IEEE Commun. Lett. 8, 116–118, Feb. (2004).
[Crossref]

G. M. Lee, B. Wydrowski, M. Zukerman, J. K. Choi, and C. H. Foh, “Performance Evaluation of an Optical Hybrid Switching System,” in Proceedings of IEEE GLOBECOM 2003 5, 2508–2512, Dec. (2003).

Leon-Garcia, A.

A. Leon-Garcia, R. H. Kwong, and G. F. Williams, “Performance Evaluation Methods for an Integrated Voice/Data Link,” IEEE Trans. Commun. 30, 1848–1858, August (1982).
[Crossref]

Listanti, M.

Maillardet, R.

P. Taylor and R. Maillardet, “Queues with reservations,” Presented at the Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) 2005 meeting, Napier, New Zealand, Jan./Feb. (2005).
[PubMed]

Overby, H.

Perros, H.

T. Battestilli and H. Perros, “An Introduction to Optical Burst Switching,” IEEE Commun. Mag. 41, S10–S15, Aug. (2003).
[Crossref]

Perros, H. G.

I. Baldine, G. N. Rouskas, H. G. Perros, and D. Stevenson, “JumpStart: A just-in-time signaling architecture for WDM burst-switched networks,” IEEE Commun. Mag., 82–89, February (2002).
[Crossref]

Qiao, C.

Y. Chen, C. Qiao, and X. Yu, “Optical Burst Switching (OBS): A New Area in Optical Networking Research,” IEEE Network Magazine 18, 16–23, May/June (2004).
[Crossref]

C. Xin, C. Qiao, Y. Ye, and S. Dixit, “A hybrid optical switching approach,” in Proceedings of IEEE GLOBECOM 2003,  7, 3808–3812, Dec. (2003).

M. Yoo, C. Qiao, and S. Dixit, “Optical burst switching for service differentiation in the next-generation optical internet,” IEEE Commun. Mag. 39, 98–104, Feb. (2001).
[Crossref]

C. Qiao and M. Yoo, “Optical Burst Switching (OBS): A New Paradigm for an Optical Internet,” J. High Speed Nets. 8, 69–84, Jan. (1999).

M. Yoo and C. Qiao, “Just-enough-time (JET): A high speed protocol for bursty traffic in optical networks,” in Proceeding of IEEE/LEOS Conf. on Technologies For a Global Information Infrastructure, 26–27, Aug. (1997).

M. Yoo and C. Qiao, “Supporting multiple classes of services in IP over WDM networks,” in Proc. Globecom 1999, 1023–1027, Dec. (1999).

Ravikanth, R.

S. Verma, H. Chaskar, and R. Ravikanth “Optical Burst Switching: A Viable Solution for Terabit IP Backbone,” IEEE Network, 48–53, Nov./Dec. (2000).

Rosberg, Z.

H. L. Vu, A. Zalesky, E.W. M. Wong, Z. Rosberg, S. M. H. Bilgrami, M. Zukerman, and R. S. Tucker. “Scalable Performance Evaluation of a Hybrid Optical Switch,” J. Lightwave Technol,  23, 2961–2973, Oct. (2005).
[Crossref]

M. Zukerman, E. W. M. Wong, Z. Rosberg, G. M. Lee, and H. L. Vu, “On Teletraffic Application to OBS,” IEEE Commun. Lett. 8, 116–118, Feb. (2004).
[Crossref]

Z. Rosberg, H. L. Vu, M. Zukerman, and J. White, “Performance analyses of optical burst-switching networks,” J. Sel. Areas Commun. 21, 1187–1197, Sept. (2003).
[Crossref]

A. Zalesky, E. W. M. Wong, H. L. Vu, M. Zukerman, Z. Rosberg, and M. S. Bilgrami, “Performance evaluation of a hybrid optical switch,” in Proc. ITC19, Aug./Sep. (2005).

Rouskas, G. N.

I. Baldine, G. N. Rouskas, H. G. Perros, and D. Stevenson, “JumpStart: A just-in-time signaling architecture for WDM burst-switched networks,” IEEE Commun. Mag., 82–89, February (2002).
[Crossref]

Sargent, E. H.

N. Barakat and E. H. Sargent, “Analytical modeling of offset-induced priority in multiclass OBS networks,” IEEE Trans. Commun. 53, 1343–1352, Aug. (2005).
[Crossref]

N. Barakat and E. H. Sargent, “Dual-header optical burst switching: a new architecture for WDM burst-switched networks,” in Proc. IEEE INFOCOM’05, March (2005).

Shih, J.

M. C. Yuang, P. L. Tien, and J. Shih, “QoS Scheduler/Shaper for Optical Coarse Packet Switching IP-over-WDM Networks,” J. Sel. Areas Commun. 22, Nov. (2004).
[Crossref]

Spth, J.

K. Dolzer, C. Gauger, J. Spth, and S. Bodamer, “Evaluation of reservation mechanisms for optical burst switching,” AEÜ Int. J. Electron. Commun. 55, 18–26, Jan. (2001).
[Crossref]

Stevenson, D.

I. Baldine, G. N. Rouskas, H. G. Perros, and D. Stevenson, “JumpStart: A just-in-time signaling architecture for WDM burst-switched networks,” IEEE Commun. Mag., 82–89, February (2002).
[Crossref]

Taylor, P.

P. Taylor and R. Maillardet, “Queues with reservations,” Presented at the Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) 2005 meeting, Napier, New Zealand, Jan./Feb. (2005).
[PubMed]

Tien, P. L.

M. C. Yuang, P. L. Tien, and J. Shih, “QoS Scheduler/Shaper for Optical Coarse Packet Switching IP-over-WDM Networks,” J. Sel. Areas Commun. 22, Nov. (2004).
[Crossref]

Tucker, R. S.

H. L. Vu, A. Zalesky, E.W. M. Wong, Z. Rosberg, S. M. H. Bilgrami, M. Zukerman, and R. S. Tucker. “Scalable Performance Evaluation of a Hybrid Optical Switch,” J. Lightwave Technol,  23, 2961–2973, Oct. (2005).
[Crossref]

A. Zalesky, E. W. M. Wong, M. Zukerman, H. L. Vu, and R. S. Tucker, “Performance Analysis of an OBS Edge Router,” IEEE Photonic Technol. Lett. 16, 695–697, Feb. (2004).
[Crossref]

Turner, J.

J. Turner, “Terabit Burst Switching,” J. High Speed Nets. 8, 3–16, Mar. (1999).

Verma, S.

S. Verma, H. Chaskar, and R. Ravikanth “Optical Burst Switching: A Viable Solution for Terabit IP Backbone,” IEEE Network, 48–53, Nov./Dec. (2000).

Vu, H. L.

H. L. Vu, A. Zalesky, E.W. M. Wong, Z. Rosberg, S. M. H. Bilgrami, M. Zukerman, and R. S. Tucker. “Scalable Performance Evaluation of a Hybrid Optical Switch,” J. Lightwave Technol,  23, 2961–2973, Oct. (2005).
[Crossref]

A. Zalesky, E. W. M. Wong, M. Zukerman, H. L. Vu, and R. S. Tucker, “Performance Analysis of an OBS Edge Router,” IEEE Photonic Technol. Lett. 16, 695–697, Feb. (2004).
[Crossref]

M. Zukerman, E. W. M. Wong, Z. Rosberg, G. M. Lee, and H. L. Vu, “On Teletraffic Application to OBS,” IEEE Commun. Lett. 8, 116–118, Feb. (2004).
[Crossref]

Z. Rosberg, H. L. Vu, M. Zukerman, and J. White, “Performance analyses of optical burst-switching networks,” J. Sel. Areas Commun. 21, 1187–1197, Sept. (2003).
[Crossref]

H. L. Vu and M. Zukerman, “Blocking Probability for Priority Classes in Optical Burst Switching Networks,” IEEE Commun. Lett. 6, 214–216, May (2002).
[Crossref]

J. White, M. Zukerman, and H. L. Vu, “A framework for optical burst switching network design,” IEEE Commun. Lett. 6, 268–270, Jun (2002).
[Crossref]

A. Zalesky, E. W. M. Wong, H. L. Vu, M. Zukerman, Z. Rosberg, and M. S. Bilgrami, “Performance evaluation of a hybrid optical switch,” in Proc. ITC19, Aug./Sep. (2005).

White, J.

Z. Rosberg, H. L. Vu, M. Zukerman, and J. White, “Performance analyses of optical burst-switching networks,” J. Sel. Areas Commun. 21, 1187–1197, Sept. (2003).
[Crossref]

J. White, M. Zukerman, and H. L. Vu, “A framework for optical burst switching network design,” IEEE Commun. Lett. 6, 268–270, Jun (2002).
[Crossref]

Williams, G. F.

A. Leon-Garcia, R. H. Kwong, and G. F. Williams, “Performance Evaluation Methods for an Integrated Voice/Data Link,” IEEE Trans. Commun. 30, 1848–1858, August (1982).
[Crossref]

Wong, E. W. M.

E. W. M. Wong and M. Zukerman, “Analysis of an optical hybrid switch,” IEEE Commun. Lett.,  10, 108–110, February (2006).
[Crossref]

E. W. M. Wong and M. Zukerman, “Performance evaluation for an optical hybrid switch with circuit queued reservations,” Opt. Express 13, 9446–9459 (2005), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-23-9446
[Crossref] [PubMed]

M. Zukerman, E. W. M. Wong, Z. Rosberg, G. M. Lee, and H. L. Vu, “On Teletraffic Application to OBS,” IEEE Commun. Lett. 8, 116–118, Feb. (2004).
[Crossref]

A. Zalesky, E. W. M. Wong, M. Zukerman, H. L. Vu, and R. S. Tucker, “Performance Analysis of an OBS Edge Router,” IEEE Photonic Technol. Lett. 16, 695–697, Feb. (2004).
[Crossref]

A. Zalesky, E. W. M. Wong, H. L. Vu, M. Zukerman, Z. Rosberg, and M. S. Bilgrami, “Performance evaluation of a hybrid optical switch,” in Proc. ITC19, Aug./Sep. (2005).

Wong, E.W. M.

H. L. Vu, A. Zalesky, E.W. M. Wong, Z. Rosberg, S. M. H. Bilgrami, M. Zukerman, and R. S. Tucker. “Scalable Performance Evaluation of a Hybrid Optical Switch,” J. Lightwave Technol,  23, 2961–2973, Oct. (2005).
[Crossref]

Wydrowski, B.

G. M. Lee, B. Wydrowski, M. Zukerman, J. K. Choi, and C. H. Foh, “Performance Evaluation of an Optical Hybrid Switching System,” in Proceedings of IEEE GLOBECOM 2003 5, 2508–2512, Dec. (2003).

Xin, C.

C. Xin, C. Qiao, Y. Ye, and S. Dixit, “A hybrid optical switching approach,” in Proceedings of IEEE GLOBECOM 2003,  7, 3808–3812, Dec. (2003).

Ye, Y.

C. Xin, C. Qiao, Y. Ye, and S. Dixit, “A hybrid optical switching approach,” in Proceedings of IEEE GLOBECOM 2003,  7, 3808–3812, Dec. (2003).

Yoo, M.

M. Yoo, C. Qiao, and S. Dixit, “Optical burst switching for service differentiation in the next-generation optical internet,” IEEE Commun. Mag. 39, 98–104, Feb. (2001).
[Crossref]

C. Qiao and M. Yoo, “Optical Burst Switching (OBS): A New Paradigm for an Optical Internet,” J. High Speed Nets. 8, 69–84, Jan. (1999).

M. Yoo and C. Qiao, “Just-enough-time (JET): A high speed protocol for bursty traffic in optical networks,” in Proceeding of IEEE/LEOS Conf. on Technologies For a Global Information Infrastructure, 26–27, Aug. (1997).

M. Yoo and C. Qiao, “Supporting multiple classes of services in IP over WDM networks,” in Proc. Globecom 1999, 1023–1027, Dec. (1999).

Yu, X.

Y. Chen, C. Qiao, and X. Yu, “Optical Burst Switching (OBS): A New Area in Optical Networking Research,” IEEE Network Magazine 18, 16–23, May/June (2004).
[Crossref]

Yuang, M. C.

M. C. Yuang, P. L. Tien, and J. Shih, “QoS Scheduler/Shaper for Optical Coarse Packet Switching IP-over-WDM Networks,” J. Sel. Areas Commun. 22, Nov. (2004).
[Crossref]

Zalesky, A.

H. L. Vu, A. Zalesky, E.W. M. Wong, Z. Rosberg, S. M. H. Bilgrami, M. Zukerman, and R. S. Tucker. “Scalable Performance Evaluation of a Hybrid Optical Switch,” J. Lightwave Technol,  23, 2961–2973, Oct. (2005).
[Crossref]

A. Zalesky, E. W. M. Wong, M. Zukerman, H. L. Vu, and R. S. Tucker, “Performance Analysis of an OBS Edge Router,” IEEE Photonic Technol. Lett. 16, 695–697, Feb. (2004).
[Crossref]

A. Zalesky, E. W. M. Wong, H. L. Vu, M. Zukerman, Z. Rosberg, and M. S. Bilgrami, “Performance evaluation of a hybrid optical switch,” in Proc. ITC19, Aug./Sep. (2005).

Zukerman, M.

E. W. M. Wong and M. Zukerman, “Analysis of an optical hybrid switch,” IEEE Commun. Lett.,  10, 108–110, February (2006).
[Crossref]

H. L. Vu, A. Zalesky, E.W. M. Wong, Z. Rosberg, S. M. H. Bilgrami, M. Zukerman, and R. S. Tucker. “Scalable Performance Evaluation of a Hybrid Optical Switch,” J. Lightwave Technol,  23, 2961–2973, Oct. (2005).
[Crossref]

E. W. M. Wong and M. Zukerman, “Performance evaluation for an optical hybrid switch with circuit queued reservations,” Opt. Express 13, 9446–9459 (2005), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-23-9446
[Crossref] [PubMed]

M. Zukerman, E. W. M. Wong, Z. Rosberg, G. M. Lee, and H. L. Vu, “On Teletraffic Application to OBS,” IEEE Commun. Lett. 8, 116–118, Feb. (2004).
[Crossref]

A. Zalesky, E. W. M. Wong, M. Zukerman, H. L. Vu, and R. S. Tucker, “Performance Analysis of an OBS Edge Router,” IEEE Photonic Technol. Lett. 16, 695–697, Feb. (2004).
[Crossref]

G. M. Lee, B. Wydrowski, M. Zukerman, J. K. Choi, and C. H. Foh, “Performance Evaluation of an Optical Hybrid Switching System,” in Proceedings of IEEE GLOBECOM 2003 5, 2508–2512, Dec. (2003).

Z. Rosberg, H. L. Vu, M. Zukerman, and J. White, “Performance analyses of optical burst-switching networks,” J. Sel. Areas Commun. 21, 1187–1197, Sept. (2003).
[Crossref]

H. L. Vu and M. Zukerman, “Blocking Probability for Priority Classes in Optical Burst Switching Networks,” IEEE Commun. Lett. 6, 214–216, May (2002).
[Crossref]

J. White, M. Zukerman, and H. L. Vu, “A framework for optical burst switching network design,” IEEE Commun. Lett. 6, 268–270, Jun (2002).
[Crossref]

M. Zukerman, “Circuit allocation and overload control in a hybrid switching system,” Computer Networks and ISDN Systems 16, 281–298, (1989).
[Crossref]

A. Zalesky, E. W. M. Wong, H. L. Vu, M. Zukerman, Z. Rosberg, and M. S. Bilgrami, “Performance evaluation of a hybrid optical switch,” in Proc. ITC19, Aug./Sep. (2005).

AEÜ Int. J. Electron. Commun. (1)

K. Dolzer, C. Gauger, J. Spth, and S. Bodamer, “Evaluation of reservation mechanisms for optical burst switching,” AEÜ Int. J. Electron. Commun. 55, 18–26, Jan. (2001).
[Crossref]

Computer Networks and ISDN Systems (1)

M. Zukerman, “Circuit allocation and overload control in a hybrid switching system,” Computer Networks and ISDN Systems 16, 281–298, (1989).
[Crossref]

Elektrotechnische zeitschrift (1)

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IEEE Commun. Lett. (4)

M. Zukerman, E. W. M. Wong, Z. Rosberg, G. M. Lee, and H. L. Vu, “On Teletraffic Application to OBS,” IEEE Commun. Lett. 8, 116–118, Feb. (2004).
[Crossref]

H. L. Vu and M. Zukerman, “Blocking Probability for Priority Classes in Optical Burst Switching Networks,” IEEE Commun. Lett. 6, 214–216, May (2002).
[Crossref]

J. White, M. Zukerman, and H. L. Vu, “A framework for optical burst switching network design,” IEEE Commun. Lett. 6, 268–270, Jun (2002).
[Crossref]

E. W. M. Wong and M. Zukerman, “Analysis of an optical hybrid switch,” IEEE Commun. Lett.,  10, 108–110, February (2006).
[Crossref]

IEEE Commun. Mag. (2)

T. Battestilli and H. Perros, “An Introduction to Optical Burst Switching,” IEEE Commun. Mag. 41, S10–S15, Aug. (2003).
[Crossref]

M. Yoo, C. Qiao, and S. Dixit, “Optical burst switching for service differentiation in the next-generation optical internet,” IEEE Commun. Mag. 39, 98–104, Feb. (2001).
[Crossref]

IEEE Network Magazine (1)

Y. Chen, C. Qiao, and X. Yu, “Optical Burst Switching (OBS): A New Area in Optical Networking Research,” IEEE Network Magazine 18, 16–23, May/June (2004).
[Crossref]

IEEE Photonic Technol. Lett. (1)

A. Zalesky, E. W. M. Wong, M. Zukerman, H. L. Vu, and R. S. Tucker, “Performance Analysis of an OBS Edge Router,” IEEE Photonic Technol. Lett. 16, 695–697, Feb. (2004).
[Crossref]

IEEE Trans. Commun. (2)

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in Proceedings of IEEE GLOBECOM 2003 (2)

C. Xin, C. Qiao, Y. Ye, and S. Dixit, “A hybrid optical switching approach,” in Proceedings of IEEE GLOBECOM 2003,  7, 3808–3812, Dec. (2003).

G. M. Lee, B. Wydrowski, M. Zukerman, J. K. Choi, and C. H. Foh, “Performance Evaluation of an Optical Hybrid Switching System,” in Proceedings of IEEE GLOBECOM 2003 5, 2508–2512, Dec. (2003).

J. High Speed Nets. (2)

C. Qiao and M. Yoo, “Optical Burst Switching (OBS): A New Paradigm for an Optical Internet,” J. High Speed Nets. 8, 69–84, Jan. (1999).

J. Turner, “Terabit Burst Switching,” J. High Speed Nets. 8, 3–16, Mar. (1999).

J. Lightwave Technol (1)

H. L. Vu, A. Zalesky, E.W. M. Wong, Z. Rosberg, S. M. H. Bilgrami, M. Zukerman, and R. S. Tucker. “Scalable Performance Evaluation of a Hybrid Optical Switch,” J. Lightwave Technol,  23, 2961–2973, Oct. (2005).
[Crossref]

J. Lightwave Technol. (2)

J. Sel. Areas Commun. (2)

Z. Rosberg, H. L. Vu, M. Zukerman, and J. White, “Performance analyses of optical burst-switching networks,” J. Sel. Areas Commun. 21, 1187–1197, Sept. (2003).
[Crossref]

M. C. Yuang, P. L. Tien, and J. Shih, “QoS Scheduler/Shaper for Optical Coarse Packet Switching IP-over-WDM Networks,” J. Sel. Areas Commun. 22, Nov. (2004).
[Crossref]

Opt. Express (2)

Other (8)

S. Verma, H. Chaskar, and R. Ravikanth “Optical Burst Switching: A Viable Solution for Terabit IP Backbone,” IEEE Network, 48–53, Nov./Dec. (2000).

M. Yoo and C. Qiao, “Just-enough-time (JET): A high speed protocol for bursty traffic in optical networks,” in Proceeding of IEEE/LEOS Conf. on Technologies For a Global Information Infrastructure, 26–27, Aug. (1997).

A. Zalesky, E. W. M. Wong, H. L. Vu, M. Zukerman, Z. Rosberg, and M. S. Bilgrami, “Performance evaluation of a hybrid optical switch,” in Proc. ITC19, Aug./Sep. (2005).

J. Hui, Switching and Traffic Theory for Integrated Broadband Networks, Kluwer Academic Press (1990).

N. Barakat and E. H. Sargent, “Dual-header optical burst switching: a new architecture for WDM burst-switched networks,” in Proc. IEEE INFOCOM’05, March (2005).

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[Crossref]

M. Yoo and C. Qiao, “Supporting multiple classes of services in IP over WDM networks,” in Proc. Globecom 1999, 1023–1027, Dec. (1999).

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[PubMed]

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Figures (15)

Fig. 1.
Fig. 1.

Optical hybrid switching transport network architecture

Fig. 2.
Fig. 2.

Optical hybrid switch architecture

Fig. 3.
Fig. 3.

Blocking probability (left) and delay [sec.] (right) versus normalized combined traffic intensity varying PCP for BP=0.1 and µb /µc =10.

Fig. 4.
Fig. 4.

Blocking probability (left) and delay [sec.] (right) versus normalized combined traffic intensity varying PCP for BP=0.1 and µb /µc =10.

Fig. 5.
Fig. 5.

Blocking probability (left) and delay [sec.] (right) versus normalized combined traffic intensity varying PCP for BP=0.5 and µb /µc =10.

Fig. 6.
Fig. 6.

Blocking probability (left) and delay [sec.] (right) versus normalized combined traffic intensity varying PCP for BP=0.9 and µb /µc =10.

Fig. 7.
Fig. 7.

Blocking probability (left) and delay [sec.] (right) versus normalized combined traffic intensity varying N for µb /µc =10.

Fig. 8.
Fig. 8.

Blocking probability (left) and delay [sec.] (right) versus normalized combined traffic intensity varying PCP for BP=0.1 and µb /µc =100.

Fig. 9.
Fig. 9.

Blocking probability (left) and delay [sec.] (right) versus normalized combined traffic intensity varying PCP for BP=0.5 and µb /µc =100.

Fig. 10.
Fig. 10.

Blocking probability (left) and delay [sec.] (right) versus normalized combined traffic intensity varying PCP for BP=0.9 and µb /µc =100.

Fig. 11.
Fig. 11.

Blocking probability and delay [sec.] versus normalized combined traffic intensity for M=100, K=50 and µb /µc =10.

Fig. 12.
Fig. 12.

Network example.

Fig. 13.
Fig. 13.

End-to-end blocking probability versus normalized combined traffic intensity varying PCP for BP=0.1 and µb /µc =10.

Fig. 14.
Fig. 14.

End-to-end blocking probability versus normalized combined traffic intensity varying PCP for BP=0.5 and µb /µc =10.

Fig. 15.
Fig. 15.

End-to-end blocking probability versus normalized combined traffic intensity varying PCP for BP=0.9 and µb /µc =10.

Equations (41)

Equations on this page are rendered with MathJax. Learn more.

π i , j , k ( ( i + k ) μ b + j μ c + ( M i j k ) λ )
= π i , j , k + 1 ( k + 1 ) μ b + π i , j + 1 , k ( j + 1 ) μ c
+ π i , j 1 , k ( M ( i + j 1 + k ) ) λ c
+ π i 1 , j , k ( M ( i 1 + j + k ) ) λ b
+ π i + 1 , j , k ( i + 1 ) μ b ,
π i , j , k ( ( M K k ) ( λ b + a j λ nc + a j δ i λ pc + ( 1 δ i ) λ pc ) + ( k + i ) μ b + j μ c )
= π i , j 1 , k ( M K + 1 k ) λ c
+ π i 1 , j , k ( M K + 1 k ) λ b
+ π i , j , k 1 ( M K k + 1 ) λ b + π i , j , k + 1 ( k + 1 ) μ b
+ π i , j + 1 , k ( j μ c )
+ + π i + 1 , j , k ( i + 1 ) μ b + π i + 1 , j 1 , k 1 ( M K k + 1 ) λ pc .
π i , j , k ( ( M i j k ) ( λ b + a j λ nc + a j δ i λ pc + ( 1 δ i ) λ pc ) + ( k + i ) μ b + j μ c )
= π i , j 1 , k ( M i j k + 1 ) a j 1 ( λ nc + δ i λ pc )
+ π i + 1 , j 1 , k 1 ( M i j k + 1 ) a j 1 λ pc
+ π i , j , k 1 ( M i j k + 1 ) λ b + π i , j + 1 , k ( K i ) μ c
+ π i , j , k + 1 ( k + 1 ) μ b + π i + 1 , j , k ( i + 1 ) μ b
C pc = i + j < K , k ( M i j k ) ( λ pc μ c ) π i , j , k + i > 0 , K i + j K + N , k ( M i j k ) ( λ pc μ c ) π i , j , k
+ i = 0 , K i + j < K + N , k a j ( M i j k ) ( λ pc μ c ) π i , j , k .
Q c = D c 1 / μ c .
Q q c = Q c / D p .
1 λ = λ EPC λ eff ( 1 λ eff ) + λ b λ eff ( 1 λ eff + 1 μ b + 1 λ ) ,
λ = ( 1 B nc ) λ nc + λ pc 1 + λ b μ b .
P j = ( M j + 1 ) λ j μ c p j 1
p j = ( M j + 1 ) b j 1 λ K μ c p j 1 .
1 λ * = ( 1 B b ) 1 λ + B b ( p b μ b + 1 λ ) .
1 μ * = C c μ c C b μ b + C c μ c 1 μ c + C b μ b C b μ b + C c μ c 1 μ b
C c = C p c + C n c
C p c = ( 1 B p c ) λ p c
p i = ( M i + 1 ) λ * i μ * p i 1
p 1 = ( M i + 1 ) b i 1 p c λ * K μ * P i 1
B n c * = B n c p n c + B p c p p c .
B c = B n c * p n c + B p c p p c .
C q c = C q n c + C q p c .
N c = N n c + N p c .
Q c = D c 1 / μ u .
Q q c = Q c / D p .
( 1 B b ) ρ b = 2 ( 1 B b ) ρ b ¯ + ( 1 B b ) 2 ρ b ¯
ρ b = ρ b ¯ [ 2 + ( 1 B b ) ] .
ρ xc = ρ xc ¯ [ 1 + 2 ( 1 B xc ) ]
P b = 1 2 i = 1 2 [ 1 ( 1 B b ) i ] .
P xc = 1 2 i = 1 2 [ 1 ( 1 B xc ) i ] .

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