On the complexity of the regenerator placement problem in optical networks

IEEE/ACM Transactions on Networking

Volumn 19, Issue 2, 2011, Pages 498-511

  Flammini, Michele ^a   Marchetti Spaccamela, Alberto ^b   Monaco, Gianpiero ^a,c   Moscardelli, Luca ^d   Zaks, Shmuel ^e  

^a UNIVERSITY OF L'AQUILA   (Italy)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

^c UNIVERSITY OF NICE SOPHIA ANTIPOLIS   (France)

^d UNIVERSITY OF CHIETI   (Italy)

^e TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Approximation algorithms; complexity; optical networks; regenerators; wavelength division multiplexing (WDM)

Indexed keywords

ANALYTICAL RESULTS; COMPLEXITY; GRAPH G; INAPPROXIMABILITY; NP-COMPLETENESS; OPTICAL NETWORKS; POLYNOMIAL-TIME ALGORITHMS; REGENERATOR PLACEMENT; WAVELENGTH DIVISION MULTIPLEXING (WDM);

FIBER OPTIC NETWORKS; MULTIPLEXING EQUIPMENT; POLYNOMIAL APPROXIMATION; REGENERATORS; TOPOLOGY; WAVELENGTH DIVISION MULTIPLEXING;

APPROXIMATION ALGORITHMS;

EID: 79955476008     PISSN: 10636692     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNET.2010.2068309     Document Type: Article

References (20)

1. G. Ausiello, P. Crescenzi, G. Gambosi, V. Kann, A. Marchetti-Spaccamela, and M. Protasi, Complexity and Approximation, Combinatorial Optimization Problems and Their Approximability Properties. Berlin, Germany: Springer-Verlag, 1999.
2. C. A. Brackett, A. S. Acampora, J. Sweitzer,G. Tangonan, M. T. Smith, W. Lennon, K.-C. Wang, and R. H. Hobbs, "A scalable multiwavelength multihop optical network: A proposal forresearch on all-optical networks," J. Lightw. Technol., vol. 11, no. 5, pp. 736-753, May/Jun. 1993.
3. I. Caragiannis, C. Kaklamanis, and P. Kanellopoulos, "Energy- efficient wireless network design," Theory Comput. Syst., vol. 39, no. 5, pp. 593-617, 2006. (Pubitemid 44371098)
4. S. Chen and S. Raghavan, "The regenerator location problem," presented at the INOC, 2007.
5. S. Chen, I. Ljubic, and S. Raghavan, "The regenerator location problem," Networks, vol. 55, no. 3, pp. 205-220, May 2010.
6. V. Chvatal, "A greedy heuristic for the set-covering problem," Math. Oper. Res., vol. 4, no. 3, pp. 233-235, 1979.
7. T. Erlebach and S. Stefanakos, "Wavelength conversion in all-optical networks with shortest-path routing," Algorithmica, vol. 43, no. 1-2, pp. 43-61, 2005. (Pubitemid 41203681)
8. M. Garey and D. S. Johnson, Computers and Intractability: A Guide to the Theory of NP-Completeness. San Francisco, CA: Freeman, 1979.
9. S. Guha and S. Khuller, "Improved methods for approximating node weighted Steiner trees and connected dominating sets," Inf. Comput., vol. 150, no. 1, pp. 57-74, 1999. (Pubitemid 129610435)
10. J. M. Kleinberg and A. Kumar, "Wavelength conversion in optical networks," J. Algor., vol. 38, no. 1, pp. 25-50, 2001. (Pubitemid 33667199)
11. S. W. Kim and S. W. Seo, "Regenerator placement algorithms for connection establishment in all-optical networks," IEE Proc. Commun., vol. 148, no. 1, pp. 25-30, 2001.
12. C. Lund and M. Yannakakis, "On the hardness of approximating minimization problems," J. ACM, vol. 41, no. 5, pp. 960-981, 1994.
13. S. Pachnicke, T. Paschenda, and P. M. Krummrich, "Physical impairment based regenerator placement and routing in translucent optical networks," in Proc. OFC/NFOEC, 2008, pp. 1-3.
14. B. Ramamurthy, H. Feng, D. Datta, J. P. Heritage, and B. Mukherjee, "Transparent vs. opaque vs. translucent wavelength-routed optical networks," in Proc. OFC/IOOC, 1999, pp. 59-61.
15. R. Raz and S. Safra, "A sub-constant error-probability low-degree test, and a sub-constant error-probability PCP characterization of NP," in Proc. 19th STOC, 1997, pp. 475-484.
16. C. V. Saradhi and S. Zaks, "Placement of regenerators in optical networks," 2010, unpublished.
17. K. Sriram, D. Griffith, R. Su, and N. Golmie, "Static vs. dynamic regenerator assignment in optical switches: Models and cost trade-offs," in Proc. HPSR, 2004, pp. 151-155.
18. G. T. Wilfong and P. Winkler, "Ring routing and wavelength translation," in Proc. ACM-SIAM SODA, 1998, pp. 333-341.
19. X. Yang and B. Ramamurthyn, "Sparse regeneration in translucent wavelength-routed optical networks: Architecture, network design and wavelength routing," Photon. Netw. Commun., vol. 10, no. 1, pp. 39-53, 2005. (Pubitemid 40891472)
20. X. Yang and B. Ramamurthy, "Dynamic routing in translucent WDM optical networks," in Proc. IEEE ICC, 2002, pp. 2796-2802. (Pubitemid 34632340)