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Erschienen in: Journal of Combinatorial Optimization 2/2016

01.08.2016

Multi-neighborhood based iterated tabu search for routing and wavelength assignment problem

verfasst von: Xinyun Wu, Shengfeng Yan, Xin Wan, Zhipeng Lü

Erschienen in: Journal of Combinatorial Optimization | Ausgabe 2/2016

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Abstract

The routing and wavelength assignment problem (RWA) has shown to be NP-hard if the wavelength continuity constraint and the objective of minimizing the number of wavelengths are considered. This paper introduces a multi-neighborhood based iterated tabu search algorithm (MN-ITS), which consists of three neighborhoods with a unified incremental evaluation method, to solve the min-RWA problem. The proposed MN-ITS algorithm is tested on a set of widely studied real world instances as well as a set of challenging random ones in the literature. Comparison with other reference algorithms shows that the MN-ITS algorithm is able to improve five best upper bounds obtained by other competitive reference algorithms in the literature. This paper also presents an analysis to show the significance of the unified incremental evaluation technique and the combination of multiple neighborhoods.

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Fußnoten
Literatur
Zurück zum Zitat Banerjee D, Mukherjee B (1996a) A practical approach for routing and wavelength assignment in large wavelength-routed optical networks. IEEE J Sel Areas Commun 14(5):903–908CrossRef Banerjee D, Mukherjee B (1996a) A practical approach for routing and wavelength assignment in large wavelength-routed optical networks. IEEE J Sel Areas Commun 14(5):903–908CrossRef
Zurück zum Zitat Chlamtac I, Ganz A, Karmi G (1992) Lightpath communications: an approach to high bandwidth optical wan’s. IEEE Trans Commun 40(7):1171–1182CrossRef Chlamtac I, Ganz A, Karmi G (1992) Lightpath communications: an approach to high bandwidth optical wan’s. IEEE Trans Commun 40(7):1171–1182CrossRef
Zurück zum Zitat Dutta R, Rouskas GN (2000) A survey of virtual topology design algorithms for wavelength routed optical networks. Opt Netw Mag 1(1):73–89 Dutta R, Rouskas GN (2000) A survey of virtual topology design algorithms for wavelength routed optical networks. Opt Netw Mag 1(1):73–89
Zurück zum Zitat Dzongang C, Galinier P, Pierre S (2005) A tabu search heuristic for the routing and wavelength assignment problem in optical networks. IEEE Commun Lett 9(5):426–428 Dzongang C, Galinier P, Pierre S (2005) A tabu search heuristic for the routing and wavelength assignment problem in optical networks. IEEE Commun Lett 9(5):426–428
Zurück zum Zitat Fredman ML, Tarjan R (1984) Fibonacci heaps and their uses in improved network optimization algorithms. In: 25th Annual Symposium on Foundations of Computer Science, 1984, pp. 338–346 Fredman ML, Tarjan R (1984) Fibonacci heaps and their uses in improved network optimization algorithms. In: 25th Annual Symposium on Foundations of Computer Science, 1984, pp. 338–346
Zurück zum Zitat Glover F (1996) Ejection chains, reference structures and alternating path methods for traveling salesman problems. Discret Appl Math 67(1–3):223–253MathSciNetCrossRefMATH Glover F (1996) Ejection chains, reference structures and alternating path methods for traveling salesman problems. Discret Appl Math 67(1–3):223–253MathSciNetCrossRefMATH
Zurück zum Zitat Gonzalez-Velárde J, Laguna M (2002) Tabu search with simple ejection chains for coloring graphs. Ann Oper Res 117(1–4):165–174MathSciNetCrossRefMATH Gonzalez-Velárde J, Laguna M (2002) Tabu search with simple ejection chains for coloring graphs. Ann Oper Res 117(1–4):165–174MathSciNetCrossRefMATH
Zurück zum Zitat Huang W, Ye T (2011) Global optimization method for finding dense packings of equal circles in a circle. Eur J Oper Res 210(3):474–481MathSciNetCrossRefMATH Huang W, Ye T (2011) Global optimization method for finding dense packings of equal circles in a circle. Eur J Oper Res 210(3):474–481MathSciNetCrossRefMATH
Zurück zum Zitat Jaumard B, Meyer C, Thiongane B (2006) ILP formulations for the RWA problem for symmetrical systems. In: Handbook for optimization in telecommunications. Springer, New York, pp 637–677 Jaumard B, Meyer C, Thiongane B (2006) ILP formulations for the RWA problem for symmetrical systems. In: Handbook for optimization in telecommunications. Springer, New York, pp 637–677
Zurück zum Zitat Jaumard B, Meyer C, Thiongane B (2007) Comparison of ILP formulations for the RWA problem. Opt Switch Netw 4(3):157–172CrossRef Jaumard B, Meyer C, Thiongane B (2007) Comparison of ILP formulations for the RWA problem. Opt Switch Netw 4(3):157–172CrossRef
Zurück zum Zitat Jaumard B, Meyer C, Thiongane B (2009) On column generation formulations for the RWA problem. Discret Appl Math 157(6):1291–1308MathSciNetCrossRefMATH Jaumard B, Meyer C, Thiongane B (2009) On column generation formulations for the RWA problem. Discret Appl Math 157(6):1291–1308MathSciNetCrossRefMATH
Zurück zum Zitat Krishnaswamy RM, Sivarajan KN (2001) Algorithms for routing and wavelength assignment based on solutions of lp-relaxations. IEEE Commun Lett 5(10):435–437CrossRef Krishnaswamy RM, Sivarajan KN (2001) Algorithms for routing and wavelength assignment based on solutions of lp-relaxations. IEEE Commun Lett 5(10):435–437CrossRef
Zurück zum Zitat Lee K, Kang KC, Lee T, Park S (2002) An optimization approach to routing and wavelength assignment in wdm all-optical mesh networks without wavelength conversion. ETRI J 24(2):131–141CrossRef Lee K, Kang KC, Lee T, Park S (2002) An optimization approach to routing and wavelength assignment in wdm all-optical mesh networks without wavelength conversion. ETRI J 24(2):131–141CrossRef
Zurück zum Zitat Lü Z, Huang W (2009) Iterated tabu search for identifying community structure in complex networks. Phys Rev E 80:026130CrossRef Lü Z, Huang W (2009) Iterated tabu search for identifying community structure in complex networks. Phys Rev E 80:026130CrossRef
Zurück zum Zitat Manohar P, Manjunath D, Shevgaonkar R (2002) Routing and wavelength assignment in optical networks from edge disjoint path algorithms. IEEE Commun Lett 6(5):211–213CrossRef Manohar P, Manjunath D, Shevgaonkar R (2002) Routing and wavelength assignment in optical networks from edge disjoint path algorithms. IEEE Commun Lett 6(5):211–213CrossRef
Zurück zum Zitat Martins AX, Duhamel C, Mahey P, Saldanha RR, de Souza MC (2012) Variable neighborhood descent with iterated local search for routing and wavelength assignment. Comput Oper Res 39(9):2133–2141MathSciNetCrossRefMATH Martins AX, Duhamel C, Mahey P, Saldanha RR, de Souza MC (2012) Variable neighborhood descent with iterated local search for routing and wavelength assignment. Comput Oper Res 39(9):2133–2141MathSciNetCrossRefMATH
Zurück zum Zitat Noronha TF, Resende MG, Ribeiro CC (2008) Efficient implementations of heuristics for routing and wavelength assignment. In: Proceedings of 7th International Workshop on Experimental Algorithms (WEA 2008), C.C. McGeoch (Ed.), LNCS, vol. 5038, pp. 169–180 Noronha TF, Resende MG, Ribeiro CC (2008) Efficient implementations of heuristics for routing and wavelength assignment. In: Proceedings of 7th International Workshop on Experimental Algorithms (WEA 2008), C.C. McGeoch (Ed.), LNCS, vol. 5038, pp. 169–180
Zurück zum Zitat Noronha TF, Resende MG, Ribeiro CC (2011) A biased random-key genetic algorithm for routing and wavelength assignment. J Global Optim 50(3):503–518CrossRef Noronha TF, Resende MG, Ribeiro CC (2011) A biased random-key genetic algorithm for routing and wavelength assignment. J Global Optim 50(3):503–518CrossRef
Zurück zum Zitat Ramaswami R, Sivarajan KN (1995) Routing and wavelength assignment in all-optical networks. IEEE/ACM Trans Netw (TON) 3(5):489–500CrossRef Ramaswami R, Sivarajan KN (1995) Routing and wavelength assignment in all-optical networks. IEEE/ACM Trans Netw (TON) 3(5):489–500CrossRef
Zurück zum Zitat Skorin-kapov N (2007) Routing and wavelength assignment in optical networks using bin packing based algorithms. Eur J Oper Res 177:1167–1179CrossRefMATH Skorin-kapov N (2007) Routing and wavelength assignment in optical networks using bin packing based algorithms. Eur J Oper Res 177:1167–1179CrossRefMATH
Zurück zum Zitat Wang L, Huang W (2005) A new local search algorithm for job shop scheduling problem. Chin J Comput 28(5):60–67MathSciNet Wang L, Huang W (2005) A new local search algorithm for job shop scheduling problem. Chin J Comput 28(5):60–67MathSciNet
Zurück zum Zitat Wang H, Huang W, Zhang Q, Xu D (2002) An improved algorithm for the packing of unequal circles within a larger containing circle. Eur J Oper Res 141(2):440–453MathSciNetCrossRefMATH Wang H, Huang W, Zhang Q, Xu D (2002) An improved algorithm for the packing of unequal circles within a larger containing circle. Eur J Oper Res 141(2):440–453MathSciNetCrossRefMATH
Zurück zum Zitat Wu Q, Hao JK, Glover F (2012) Multi-neighborhood tabu search for the maximum weight clique problem. Ann Oper Res 196(1):611–634MathSciNetCrossRefMATH Wu Q, Hao JK, Glover F (2012) Multi-neighborhood tabu search for the maximum weight clique problem. Ann Oper Res 196(1):611–634MathSciNetCrossRefMATH
Zurück zum Zitat Ye T, Xu R, Huang W (2011) Global optimization of binary lennard-jones clusters using three perturbation operators. J Chem Inf Model 51(3):572–577CrossRef Ye T, Xu R, Huang W (2011) Global optimization of binary lennard-jones clusters using three perturbation operators. J Chem Inf Model 51(3):572–577CrossRef
Zurück zum Zitat Zang H, Jue JP, Mukherjee B et al (2000) A review of routing and wavelength assignment approaches for wavelength-routed optical wdm networks. Opt Netw Mag 1(1):47–60 Zang H, Jue JP, Mukherjee B et al (2000) A review of routing and wavelength assignment approaches for wavelength-routed optical wdm networks. Opt Netw Mag 1(1):47–60
Metadaten
Titel
Multi-neighborhood based iterated tabu search for routing and wavelength assignment problem
verfasst von
Xinyun Wu
Shengfeng Yan
Xin Wan
Zhipeng Lü
Publikationsdatum
01.08.2016
Verlag
Springer US
Erschienen in
Journal of Combinatorial Optimization / Ausgabe 2/2016
Print ISSN: 1382-6905
Elektronische ISSN: 1573-2886
DOI
https://doi.org/10.1007/s10878-015-9962-y

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