Abstract

We provide here a new loss model for an optical hybrid switch that can function as an optical burst switch or optical circuit switch or both simultaneously. We introduce the feature of circuit queued reservation. That is, if a circuit request arrives and cannot find a free wavelength, and if there are not too many requests queued for reservations, it may join a queue and wait until such wavelength becomes available. 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. We also provide results for the proportion of circuits that are delayed and the mean delay of the circuits that are delay. Because it is difficult to exactly compute the blocking probability in realistic scenarios with a large number of wavelengths, we derive computationally scalable and accurate approximations which are 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.

©2005 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Performance Evaluation of an Optical Burst Switched Core Node With Generalized Arrivals and Partial Wavelength Conversion Capability

Mohamed H. Morsy-Osman, Mohammed Y. S. Sowailem, Ahmed I. Abd El-Rahman, and Hossam M. H. Shalaby
J. Opt. Commun. Netw. 4(12) 997-1007 (2012)

Multiservice QoS-Enabled MAC for Optical Burst Switching

Joan Triay, Georgios S. Zervas, Cristina Cervelló-Pastor, and Dimitra Simeonidou
J. Opt. Commun. Netw. 2(8) 530-544 (2010)

References

  • View by:
  • |
  • |
  • |

  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. 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 ).
  5. 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 ).
  6. J. Turner , “ Terabit Burst Switching ,” J. High Speed Nets.   8 , 3 – 16 , Mar. ( 1999 ).
  7. S. Verma , H. Chaskar , and R. Ravikanth “ Optical Burst Switching: A Viable Solution for Terabit IP Backbone ,” IEEE Network, 48 – 53 , Nov./Dec. ( 2000 ).
  8. A. Detti , V. Eramo , and M. Listanti , “ Performance evaluation of a new technique for IP support in a WDM optical network: optical composite burst switching (OCBS) ,” J. Lightwave Technol.   20 , 154 – 165 , Feb. ( 2002 ).
    [Crossref]
  9. T. Battestilli and H. Perros , “ An Introduction to Optical Burst Switching ,” IEEE Communs. Mag.   41 , S10 – S15 , Aug. ( 2003 ).
    [Crossref]
  10. 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]
  11. 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]
  12. 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]
  13. 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 ).
  14. A. Leon-Garcia , R. H. Kwong , and G. F. Williams , “ Performance Evaluation Methods for an Integrated Voice/Data Link ,” IEEE Trans. on Communs.   30 , 1848 – 1858 , August ( 1982 ).
    [Crossref]
  15. M. Zukerman , “ Circuit allocation and overload control in a hybrid switching system ,” Computer Networks and ISDN Systems   16 , 281 – 298 , ( 1989 ).
    [Crossref]
  16. 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]
  17. H. L. Vu and M. Zukerman , “ Blocking Probability for Priority Classes in Optical Burst Switching Networks ,” IEEE Communications Letters   6 , 214 – 216 , May ( 2002 ).
    [Crossref]
  18. J. White , M. Zukerman , and H. L. Vu , “ A framework for optical burst switching network design ,” IEEE Communications Letters   6 , 268 – 270 , Jun ( 2002 ).
    [Crossref]
  19. 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]
  20. 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 ).
  21. I. Baldine , G. N. Rouskas , H. G. Perros , and D. Stevenson , “ JumpStart: A just-in-time signaling architecture for WDM burst-switched networks ,” IEEE Communications Magazine , 82 – 89 , February ( 2002 ).
    [Crossref]
  22. N. Barakat and E. H. Sargent , “ Analytical modeling of offset-induced priority in multiclass OBS networks ,” IEEE Transactions on Communications   53 , 1343 – 1352 , Aug. ( 2005 ).
    [Crossref]
  23. 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]
  24. M. Yoo and C. Qiao , “ Supporting multiple classes of services in IP over WDM networks ,” in Proc. Globecom 1999, 1023 – 1027 , Dec. ( 1999 ).
  25. K. Dolzer , C. Gauger , J. Späth , and S. Bodamer , “ Evaluation of reservation mechanisms for optical burst switching ,” AE Ü Int. J. Electron. Commun.   55 , 18 – 26 , Jan. ( 2001 ).
    [Crossref]
  26. 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 ).
  27. T. Engset , “ Die wahrscheinlichkeitsrechnung zur bestimmung der wahleranzahl in automatischen fern-sprechamtern ” Elektrotechnische zeitschrift   39 , 304 – 306 , Aug. ( 1918 ).
  28. J. Hui ,Switching and Traffic Theory for Integrated Broadband Networks, Kluwer Academic Press ( 1990 ).
  29. M. Zukerman , E. W. M. Wong , Z. Rosberg , G. M. Lee , and H. L. Vu , “ On Teletraffic Application to OBS ,” IEEE Commun. Letters   8 , 116 – 118 , Feb. ( 2004 ).
    [Crossref]
  30. 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]

2005 (5)

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 ).

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

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 ).

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]

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]

2004 (4)

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. Letters   8 , 116 – 118 , Feb. ( 2004 ).
[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]

2003 (4)

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]

T. Battestilli and H. Perros , “ An Introduction to Optical Burst Switching ,” IEEE Communs. Mag.   41 , S10 – S15 , Aug. ( 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 (5)

A. Detti , V. Eramo , and M. Listanti , “ Performance evaluation of a new technique for IP support in a WDM optical 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]

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

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

I. Baldine , G. N. Rouskas , H. G. Perros , and D. Stevenson , “ JumpStart: A just-in-time signaling architecture for WDM burst-switched networks ,” IEEE Communications Magazine , 82 – 89 , February ( 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. Späth , and S. Bodamer , “ Evaluation of reservation mechanisms for optical burst switching ,” AE Ü Int. J. Electron. Commun.   55 , 18 – 26 , Jan. ( 2001 ).
[Crossref]

2000 (1)

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

1999 (3)

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 ).

M. Yoo and C. Qiao , “ Supporting multiple classes of services in IP over WDM networks ,” in Proc. Globecom 1999, 1023 – 1027 , Dec. ( 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. on Communs.   30 , 1848 – 1858 , August ( 1982 ).
[Crossref]

1918 (1)

T. Engset , “ Die wahrscheinlichkeitsrechnung zur bestimmung der wahleranzahl in automatischen fern-sprechamtern ” 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 Communications Magazine , 82 – 89 , February ( 2002 ).
[Crossref]

Barakat, N.

N. Barakat and E. H. Sargent , “ Analytical modeling of offset-induced priority in multiclass OBS networks ,” IEEE Transactions on Communications   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 Communs. 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.

Bodamer, S.

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

Duser, M.

Engset, T.

T. Engset , “ Die wahrscheinlichkeitsrechnung zur bestimmung der wahleranzahl in automatischen fern-sprechamtern ” 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. Späth , and S. Bodamer , “ Evaluation of reservation mechanisms for optical burst switching ,” AE Ü 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. on Communs.   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. Letters   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. on Communs.   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 ).

Overby, H.

Perros, H.

T. Battestilli and H. Perros , “ An Introduction to Optical Burst Switching ,” IEEE Communs. 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 Communications Magazine , 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]

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

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 ).

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.

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 ).

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. Letters   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]

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 Communications Magazine , 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 Transactions on Communications   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]

Späth, J.

K. Dolzer , C. Gauger , J. Späth , and S. Bodamer , “ Evaluation of reservation mechanisms for optical burst switching ,” AE Ü 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 Communications Magazine , 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 ).

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.

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 ).

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. Letters   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]

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 Communications Letters   6 , 214 – 216 , May ( 2002 ).
[Crossref]

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

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 Communications Letters   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. on Communs.   30 , 1848 – 1858 , August ( 1982 ).
[Crossref]

Wong, E. W. M.

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 ).

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. Letters   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]

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]

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

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 ).

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.

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 ).

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]

Zukerman, M.

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 ).

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. Letters   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]

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 ).

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

J. White , M. Zukerman , and H. L. Vu , “ A framework for optical burst switching network design ,” IEEE Communications Letters   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]

AE Ü Int. J. Electron. Commun. (1)

K. Dolzer , C. Gauger , J. Späth , and S. Bodamer , “ Evaluation of reservation mechanisms for optical burst switching ,” AE Ü 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)

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

IEEE Commun. Letters (1)

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

IEEE Commun. Mag. (1)

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 Communications Letters (2)

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

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

IEEE Communications Magazine (1)

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

IEEE Communs. (1)

T. Battestilli and H. Perros , “ An Introduction to Optical Burst Switching ,” IEEE Communs. Mag.   41 , S10 – S15 , Aug. ( 2003 ).
[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 Network, (1)

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

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. on Communs. (1)

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

IEEE Transactions on Communications (1)

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

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. (3)

J. Sel. Areas Commun. (2)

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]

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]

Opt. Express (1)

Other (8)

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

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

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 ).

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 ).

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 ).

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 ).

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 ).

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (9)

Fig. 1.
Fig. 1. Blocking probability versus normalized combined traffic intensity.
Fig. 2.
Fig. 2. Mean queueing delay for a delayed circuit [sec.] (left) and probability of a circuit being delayed (right) versus normalized combined traffic intensity.
Fig. 3.
Fig. 3. Blocking probability versus normalized combined traffic intensity.
Fig. 4.
Fig. 4. Mean queueing delay for a delayed circuit [sec.] (left) and probability of a circuit being delayed (right) versus normalized combined traffic intensity.
Fig. 5.
Fig. 5. Blocking probability versus normalized combined traffic intensity.
Fig. 6.
Fig. 6. Mean queueing delay for a delayed circuit [sec.] (left) and probability of a circuit being delayed (right) versus normalized combined traffic intensity.
Fig. 7.
Fig. 7. Blocking probability versus normalized traffic intensity for burst traffic only.
Fig. 8.
Fig. 8. Blocking probability versus normalized combined traffic intensity.
Fig. 9.
Fig. 9. Mean queueing delay for a delayed circuit [sec.] (left) and probability of a circuit being delayed (right) versus normalized combined traffic intensity.

Equations (67)

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 + ( 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 + 1 , k ( j μ c )
= π i , j , k + 1 ( k + 1 ) μ b + π i + 1 , j , k ( i + 1 ) μ b .
π i , j , k ( ( M K k ) ( λ b + a j λ c ) + ( k + i ) μ b + j μ c )
= π i , j 1 , k b j ( M K + 1 k ) λ c
+ π i , j , k 1 ( M K 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
a j = n = i + j K + 1 N c ( n )
b j = n = i + j K N c ( n ) .
i , j , k π i , j , k = 1
O c = i , j , k ( M i j k ) ( λ c μ c ) π i , j , k .
C c = i , j , k min ( j , K ) π i , j , k .
B c = 1 C c O c .
O b = i , j , k ( M i j k ) ( λ b μ b ) π i , j , k ,
C b = i , j , k i , j , k .
B b = 1 C b O b .
C q = k , i + j K a j ( M i j k ) ( λ c μ c ) π i , j , k
a j = n = i + j K + 1 N c ( n ) .
D p = C q C c .
Q c ¯ = k , i + j K ( i + j K + 1 ) a j ( M i j k ) ( λ c μ c ) π i , j , k C q
a j = n = i + j K + 1 N c ( n ) .
R c = i + j = K , k ( i μ b + j μ c ) π i , j , k i + j = K , k π i , j , k .
D ¯ c = Q c ¯ R c .
1 λ * = 1 λ + p b B b μ b .
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 b = i = 0 K 1 ( M i ) p b λ * μ b p i
C c = i = 0 K 1 ( M i ) p c λ * μ c p i + i = K K + N 1 ( M i ) a i p c λ * μ c p i
a i = n = i K + 1 N c ( n ) .
B c = 1 C c O c
O c = i = 0 K + N ( M i ) p c λ * μ c p i ,
p i = ( M i + 1 ) λ * i μ * p i 1
p i = ( M i + 1 ) b i p c λ * K μ * p i 1
b i = n = i K N c ( n )
i = 0 K + N p i = 1
B c = 1 C c O c .
O b = i = 0 K + N ( M i ) p b λ * μ c p i .
B b = 1 C b O b .
C q = i = K K + N 1 ( M i ) a i p c λ * μ c p i
a i = n = i K + 1 N c ( n ) .
D p = C q C c
Q c ¯ = i = K K + N 1 ( i + 1 ) ( M i ) a i p c λ * μ c p i C q
a i = n = i K + 1 N c ( n ) .
D ¯ c = Q c ¯ R c .
1 λ * = 1 λ b + B b μ b .
p i = ( M i + 1 ) λ * i μ b p i 1
i = 0 K p i = 1
B b = 1 C b O b
O b = i = 0 K ( M i ) λ * μ b p i
C b = i = 0 K 1 ( M i ) λ * μ b p i .
M K ( λ b μ b + λ c μ c ) .
BP = λ b μ b λ b μ b + λ c μ c .
1 λ = λ c λ ( 1 λ ) + λ b λ ( 1 λ + 1 μ b + 1 λ ) ,
1 λ = 1 λ + λ b λ c ( 1 λ + 1 μ b ) .
p j = ( M j + 1 ) λ j μ c p j 1
p j = ( M j + 1 ) ( n = j k N c ( n ) ) λ K μ c p j 1 .
j = 0 K + N p j = 1 ,
O pc = j = 0 K + N ( M j ) λ μ c p j
C pc = j j = 0 K + N p j .
B pc = 1 C pc O pc .

Metrics