Abstract

An optical packet switch that shares both limited range and full range wavelength converters for contention resolution is proposed with the aim to guarantee a high conversion cost saving. To optimally dimension the number and the conversion range of the wavelength converters, an analytical model, validated by simulation, is introduced. Numerical results show that the proposed switch architecture allows for a conversion cost saving in the order of 90% with respect to a traditional architecture in which only shared full range wavelength converters are used.

© 2009 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Loss Analysis of Multiple Service Classes in Shared-per-Wavelength Optical Packet Switches

Antonio Cianfrani, Vincenzo Eramo, Angelo Germoni, Carla Raffaelli, and Michele Savi
J. Opt. Commun. Netw. 1(2) A69-A80 (2009)

Wavelength-division-multiplexing optical packet switch with heterogeneous wavelength conversion capabilities

Yoon-Ho Choi, Seung-Woo Seo, and Han-You Jeong
Appl. Opt. 46(34) 8218-8228 (2007)

Power Consumption in Bufferless Optical Packet Switches in SOA Technology

V. Eramo and M. Listanti
J. Opt. Commun. Netw. 1(3) B15-B29 (2009)

More Recommended Articles

References

  • View by:
  • Article Order
  • |
  • Year
  • |
  • Author
  • |
  • Publication
  1. S. Yao, B. Mukherjee, and S. Dixit, “Advances in Photonic Packet Switching: an Overview,” IEEE Commun. Mag. 38, 84–94 (2000).
    [Crossref]
  2. S. L. Danielsen, P. B. Hansen, and K. E. Stubkjaer, “Wavelength Conversion in Optical Packet Switching,” J. Lightwave Technol. 16, 2095–2108 (1998).
    [Crossref]
  3. V. Eramo, M. Listanti, and A. Germoni, “Cost Evaluation of Optical Packet Switches Equipped With Limited-Range and Full-Range Converters for Contention Resolution,” J. Lightwave Technol. 26, 390–407 (2008).
    [Crossref]
  4. H. Li and I. Li-Jin, “Cost-Saving Two-Layer Wavelength Conversion in Optical Switching Network,” J. Lightwave Technol. 24, 705–712 (2006).
    [Crossref]
  5. V. Eramo, M. Listanti, and A. Germoni, “Cost Evaluation of Optical Packet Switches using both Limited-Range and Full-Range Converters for Contention Resolution,” in proc. IEEE Globecom, December 2007 .
  6. C. Guillemot et al., “Transparent Optical Packet Switching: The European ACTS KEOPS Project Approach,” Lasers and Electro-Optics Society 1999 12th Annual Meeting. LEOS ’99. IEEE,  vol.2, no., pp.401–402 vol.2, 1999.
  7. B. Bostica, M. Burzio, P. Gambini, and L. Zucchelli, “Synchronization issues in optical packet switched networks,” Photonic Networks, G. Prati, Sringer-Verlag, 1997.
  8. Z. Zhang and Y. Yang, “Distributed Scheduling Algorithms for Wavelength Convertible WDM Optical Interconnects,” IEEE IPDPS 2003, April 2003.
  9. Z. Zhang and Y. Yang, “Performance Modelling of Bufferless WDM Packet Switching Networks with Limited Range Wavelength Conversion,” IEEE Trans. Commun. 54, 1473–1480 (2006).
    [Crossref]
  10. V. Eramo, M. Listanti, and M. Spaziani, “Resource Sharing in Optical Packet Switches With Limited-Range Wavelength Converters,” J. Lightwave Technol. 23, 671–687 (2005).
    [Crossref]
  11. V. Eramo and M. Listanti, “Packet Loss in a Bufferless WDM Switch Employing Shared Tunable Wavelength Converters,” J. Lightwave Technol. 18, 1818–1833 (2000).
    [Crossref]

2008 (1)

2006 (2)

H. Li and I. Li-Jin, “Cost-Saving Two-Layer Wavelength Conversion in Optical Switching Network,” J. Lightwave Technol. 24, 705–712 (2006).
[Crossref]

Z. Zhang and Y. Yang, “Performance Modelling of Bufferless WDM Packet Switching Networks with Limited Range Wavelength Conversion,” IEEE Trans. Commun. 54, 1473–1480 (2006).
[Crossref]

2005 (1)

2000 (2)

V. Eramo and M. Listanti, “Packet Loss in a Bufferless WDM Switch Employing Shared Tunable Wavelength Converters,” J. Lightwave Technol. 18, 1818–1833 (2000).
[Crossref]

S. Yao, B. Mukherjee, and S. Dixit, “Advances in Photonic Packet Switching: an Overview,” IEEE Commun. Mag. 38, 84–94 (2000).
[Crossref]

1999 (1)

C. Guillemot et al., “Transparent Optical Packet Switching: The European ACTS KEOPS Project Approach,” Lasers and Electro-Optics Society 1999 12th Annual Meeting. LEOS ’99. IEEE,  vol.2, no., pp.401–402 vol.2, 1999.

1998 (1)

Bostica, B.

B. Bostica, M. Burzio, P. Gambini, and L. Zucchelli, “Synchronization issues in optical packet switched networks,” Photonic Networks, G. Prati, Sringer-Verlag, 1997.

Burzio, M.

B. Bostica, M. Burzio, P. Gambini, and L. Zucchelli, “Synchronization issues in optical packet switched networks,” Photonic Networks, G. Prati, Sringer-Verlag, 1997.

Danielsen, S. L.

Dixit, S.

S. Yao, B. Mukherjee, and S. Dixit, “Advances in Photonic Packet Switching: an Overview,” IEEE Commun. Mag. 38, 84–94 (2000).
[Crossref]

Eramo, V.

Gambini, P.

B. Bostica, M. Burzio, P. Gambini, and L. Zucchelli, “Synchronization issues in optical packet switched networks,” Photonic Networks, G. Prati, Sringer-Verlag, 1997.

Germoni, A.

V. Eramo, M. Listanti, and A. Germoni, “Cost Evaluation of Optical Packet Switches Equipped With Limited-Range and Full-Range Converters for Contention Resolution,” J. Lightwave Technol. 26, 390–407 (2008).
[Crossref]

V. Eramo, M. Listanti, and A. Germoni, “Cost Evaluation of Optical Packet Switches using both Limited-Range and Full-Range Converters for Contention Resolution,” in proc. IEEE Globecom, December 2007 .

Guillemot, C.

C. Guillemot et al., “Transparent Optical Packet Switching: The European ACTS KEOPS Project Approach,” Lasers and Electro-Optics Society 1999 12th Annual Meeting. LEOS ’99. IEEE,  vol.2, no., pp.401–402 vol.2, 1999.

Hansen, P. B.

Li, H.

Li-Jin, I.

Listanti, M.

Mukherjee, B.

S. Yao, B. Mukherjee, and S. Dixit, “Advances in Photonic Packet Switching: an Overview,” IEEE Commun. Mag. 38, 84–94 (2000).
[Crossref]

Spaziani, M.

Stubkjaer, K. E.

Yang, Y.

Z. Zhang and Y. Yang, “Performance Modelling of Bufferless WDM Packet Switching Networks with Limited Range Wavelength Conversion,” IEEE Trans. Commun. 54, 1473–1480 (2006).
[Crossref]

Z. Zhang and Y. Yang, “Distributed Scheduling Algorithms for Wavelength Convertible WDM Optical Interconnects,” IEEE IPDPS 2003, April 2003.

Yao, S.

S. Yao, B. Mukherjee, and S. Dixit, “Advances in Photonic Packet Switching: an Overview,” IEEE Commun. Mag. 38, 84–94 (2000).
[Crossref]

Zhang, Z.

Z. Zhang and Y. Yang, “Performance Modelling of Bufferless WDM Packet Switching Networks with Limited Range Wavelength Conversion,” IEEE Trans. Commun. 54, 1473–1480 (2006).
[Crossref]

Z. Zhang and Y. Yang, “Distributed Scheduling Algorithms for Wavelength Convertible WDM Optical Interconnects,” IEEE IPDPS 2003, April 2003.

Zucchelli, L.

B. Bostica, M. Burzio, P. Gambini, and L. Zucchelli, “Synchronization issues in optical packet switched networks,” Photonic Networks, G. Prati, Sringer-Verlag, 1997.

IEEE Commun. Mag. (1)

S. Yao, B. Mukherjee, and S. Dixit, “Advances in Photonic Packet Switching: an Overview,” IEEE Commun. Mag. 38, 84–94 (2000).
[Crossref]

IEEE Trans. Commun. (1)

Z. Zhang and Y. Yang, “Performance Modelling of Bufferless WDM Packet Switching Networks with Limited Range Wavelength Conversion,” IEEE Trans. Commun. 54, 1473–1480 (2006).
[Crossref]

J. Lightwave Technol. (5)

Other (4)

V. Eramo, M. Listanti, and A. Germoni, “Cost Evaluation of Optical Packet Switches using both Limited-Range and Full-Range Converters for Contention Resolution,” in proc. IEEE Globecom, December 2007 .

C. Guillemot et al., “Transparent Optical Packet Switching: The European ACTS KEOPS Project Approach,” Lasers and Electro-Optics Society 1999 12th Annual Meeting. LEOS ’99. IEEE,  vol.2, no., pp.401–402 vol.2, 1999.

B. Bostica, M. Burzio, P. Gambini, and L. Zucchelli, “Synchronization issues in optical packet switched networks,” Photonic Networks, G. Prati, Sringer-Verlag, 1997.

Z. Zhang and Y. Yang, “Distributed Scheduling Algorithms for Wavelength Convertible WDM Optical Interconnects,” IEEE IPDPS 2003, April 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 (10)

Fig. 1.
Fig. 1.

FLSPN OPS equipped with rl LRWC and rf FRWCs.

Download Full Size | PPT Slide | PDF

Fig. 2.
Fig. 2.

Scheduling algorithm for FLSPN architecture

Download Full Size | PPT Slide | PDF

Fig. 3.
Fig. 3.

LRWCs Assignment (LRA) sub-phase

Download Full Size | PPT Slide | PDF

Fig. 4.
Fig. 4.

FRWCs Assignment (FRA) sub-phase

Download Full Size | PPT Slide | PDF

Fig. 5.
Fig. 5.

Comparison between the analytical and simulation results for the Packet Loss Probability in the FLSPN switch as a function of the used number of FRWCs. Switch and traffic parameters are N = 8, M = 16, p = 0,4, d = 1. The used number rl of LRWCs varies from 0 to 120.

Download Full Size | PPT Slide | PDF

Fig. 6.
Fig. 6.

Comparison between the analytical and simulation results for the Packet Loss Probability in the FLSPN switch as a function of the used number of FRWCs. Switch and traffic parameters are N = 8, M = 32, p = 0,8, d = 2. The used number rl of LRWCs varies from 0 to 240.

Download Full Size | PPT Slide | PDF

Fig. 7.
Fig. 7.

Conversion cost of the FLSPN and TLWC-SPN switches as a function of the conversion range d. The switch and traffic parameters are N = 8, p = 0,8 and M varying from 16 to 64. A linear cost model (b = 1) is assumed.

Download Full Size | PPT Slide | PDF

Fig. 8.
Fig. 8.

Conversion cost percentage reduction of the FLSPN and TLWC-SPN switches with respect to the OLWC-SPN switch as a function of the conversion range d. The switch and traffic parameters are N = 8, p = 0,8 and M varying from 16 to 64. A linear cost model (b = 1) is assumed.

Download Full Size | PPT Slide | PDF

Fig. 9.
Fig. 9.

Cconversion cost of FLSPN and TLWC-SPN switches as a function of the conversion range d. The switch and traffic parameters are N = 8, p = 0,8, M = 64 and b varying from 0,5 to 2.

Download Full Size | PPT Slide | PDF

Fig. 10.
Fig. 10.

Conversion cost percentage reductions of the FLSPN and TLWC-SPN switches with respect to the OLWC-SPN as a function of the conversion range d. The switch and traffic parameters are N = 8, p = 0,8, M = 64 and b varying from 0,5 to 2.

Download Full Size | PPT Slide | PDF

Equations (23)

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

C LRWC = a d b , C FRWC = a ( M − 1 ) b
a = C norm ∑ d = 1 M − 1 d b .
C FLSPN = r l C LRWC + r f C FRWC .
P loss FLSPN ( r l , r f ) = ∑ i = 0 N ( M − 1 ) ∑ j = 0 N ( M − 1 ) p R l av , R f av ( i , j ) P loss FLSPN , OF ( r l av , r f av ) ∣ r l av = i r f av = j
P loss FLSPN , OF ( r l av , r f av ) = E [ N l , WB ] + E [ N l , CB ] E [ N O ]
E [ N l , WB ] = ∑ j = M + 1 NM ( j − M ) ( NM j ) ( P N ) j ( 1 − P N ) NM − j
E [ N l , CB ] = ∑ i = 0 M − 1 ∑ j = 0 M − i E [ N l , CB / d = i , w = j ] p D , W ( i , j )
E [ N l , CB / d = i , w = j ] = { j − r f av i ≤ r l av , j > r f av i − ( r l av + r f av ) + j i > r l av + r f av min ( 0 , j − ( r l av + r f av − i ) ) r l av < i ≤ r l av + r f av 0 otherwise
p D , W ( i , j ) = ∑ k = j M p α , β , γ ( j , k , i ) + ∑ h = j + 1 NM p α , β , γ ( h , j , i )
p r ( i ) = ( N i ) ( p N ) i ( 1 − p N ) N − i i = 0,1 , … , N ;
p A ( k ) ( i ) = ( Nk i ) ( p N ) i ( 1 − p N ) N − i i = 0,1 , … , N ;
p α , β , γ ( 1 , q , i , j , h ) = { p r ( q + i ) i ≤ N − q , j = 0 , h = q − 1 p r ( q − j ) i = 0 , 1 ≤ j ≤ q , h = q − j 0 otherwise
p α , β , γ ( 1 , d + 2 , i , j , h ) = { p α , β , γ ( 1 , d + 1 , i , j − 1 , h ) j ≠ 0 0 j = 0
p α , β , γ ( p , q , i , j , h ) = ∑ k = 0 N Prob ( α p , q = i , β p , q = j , γ p , q = h / r M − p = k ) Prob ( r M − p = k )
p α , β , γ ( p , q , i , j , h ) = { ∑ k = 0 q − 1 p r ( k ) p α , β , γ ( p − 1 , q − k , i , 0 , min ( 0 , h − k ) ) + ∑ k = q min ( N , i + q ) p A ( p - 1 ) ( i − ( k − q ) ) δ ( h − q ) j = 0 ∑ k = 0 q − 1 p r ( k ) p α , β , γ ( p − 1 , q − k , i , 0 , min ( 0 , h − k ) ) j ≠ 0
where :
δ ( i ) = { 1 if i = 0 0 otherwise
p α , β , γ ( p , q , i , j , h ) = { ∑ k = 0 q − p − 1 p r ( k ) p α , β , γ ( p − 1 , q − k , i , 0 , min ( 0 , h − k ) ) + + ∑ k = q − p q − 1 p r ( k ) p α , β , γ ( p − 1 , q − k , i , 0 , min ( 0 , h − ( k − 1 ) ) ) + + ∑ k = q min ( N , i + q ) p r ( k ) p A ( p − 1 ) ( i − ( k − q ) ) δ ( h − ( q − 1 ) ) j = 0 ∑ k = 0 q − p − 1 p r ( k ) p α , β , γ ( p − 1 , q − k , i , j , min ( 0 , h − k ) ) + + ∑ k = q − p q − 1 p r ( k ) p α , β , γ ( p − 1 , q − k , i , j , min ( 0 , h − ( k − 1 ) ) ) j ≠ 0
p α , β , γ ( p , p + d + 1 , i , j , h ) = { p α , β , γ ( p − 1 , p + d , i , j − 1 , h ) j ≠ 0 0 j = 0
p D s , W s ( k , h ) = 1 N ∑ i = 1 N p D i , W i ( k , h )
p D 1 , W 1 = { 1 k = 0 ; h = 0 0 k ≠ 0 ; h ≠ 0
p D i , w i ( k , h ) = p D , W ( k , h ) ⊗ p D , W ( k , h ) ⋯⋯ ⊗ p D , W ( k , h ) ︷ ( i − 1 ) times ,
p R l av , R f av ( i , j ) = { p D s , W s ( r l − i , r f − j ) i ≠ 0 ; j ≠ 0 ∑ k = r l r l + r f − j p D s , W s ( k , r f − ( k − r l ) − j ) i = 0 ; j ≠ 0 ∑ h = r f N ( M − 1 ) p D s , W s ( r l − i , h ) i ≠ 0 ; j = 0 ∑ k = r l N ( M − 1 ) ∑ h = r f − ( k − r l ) N ( M − 1 ) p D s , W s ( k , h ) i = 0 ; j = 0

Metrics