A Comparative Study on Multiobjective Swarm Intelligence for the Routing and Wavelength Assignment Problem

The future of designing optical networks is focused on the wavelength division multiplexing (WDM) technology. This technology divides the huge bandwidth of an optical fiber into different wavelengths, providing different available channels per link of fiber. However, when it is necessary to establish a set of demands, a problem comes up. This problem is known as a routing and wavelength assignment (RWA) problem. Depending on the traffic pattern, two varieties of a RWA problem have been considered in the literature: static and dynamic. In this paper, we present a comparative study among three multiobjective evolutionary algorithms (MOEAs) based on swarm intelligence to solve the RWA problem in real-world optical networks. Artificial bee colony (ABC) algorithm, gravitational search algorithm (GSA), and firefly algorithm (FA) are the selected evolutionary algorithms, but are adapted to multiobjective domain (MO-ABC, MO-GSA, and MO-FA, respectively). In order to prove the goodness of the swarm proposals, we have compared them with a standard MOEA: fast nondominated sorting genetic algorithm. Finally, we present a comparison among the metaheuristics based on swarm intelligence and several techniques published in the literature, coming to the conclusion that swarm intelligence is very suitable to solve the RWA problem, and presumably that it may obtain such quality results not only in diverse telecommunication optimization problems, but also in other engineering optimization problems.

[1]  Biswanath Mukherjee,et al.  Some principles for designing a wide-area WDM optical network , 1996, TNET.

[2]  Suresh Subramaniam,et al.  The MAX SUM wavelength assignment algorithm for WDM ring networks , 1997, Proceedings of Optical Fiber Communication Conference (.

[3]  Yue-Ru Chuang,et al.  A novel optical IP router architecture for WDM networks , 2001, Proceedings 15th International Conference on Information Networking.

[4]  Alexander Birman,et al.  Routing and wavelength assignment methods in single-hop all-optical networks with blocking , 1995, Proceedings of INFOCOM'95.

[5]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[6]  B. Mukherjee,et al.  A Review of Routing and Wavelength Assignment Approaches for Wavelength- Routed Optical WDM Networks , 2000 .

[7]  Wayne D. Grover,et al.  Tabu search optimization of optical ring transport networks , 2001, GLOBECOM'01. IEEE Global Telecommunications Conference (Cat. No.01CH37270).

[8]  Arthur C. Sanderson,et al.  Multiobjective Evolutionary Decision Support for Design–Supplier–Manufacturing Planning , 2009, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[9]  Byrav Ramamurthy,et al.  Routing algorithms for all-optical networks with power considerations: the unicast case , 1999, Proceedings Eight International Conference on Computer Communications and Networks (Cat. No.99EX370).

[10]  Marco Mellia,et al.  Logical topologies design over WDM wavelength routed networks robust to traffic uncertainties , 2001, IEEE Communications Letters.

[11]  Mietek A. Brdys,et al.  Grid Implementation of a Parallel Multiobjective Genetic Algorithm for Optimized Allocation of Chlorination Stations in Drinking Water Distribution Systems: Chojnice Case Study , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews).

[12]  Marco Laumanns,et al.  Performance assessment of multiobjective optimizers: an analysis and review , 2003, IEEE Trans. Evol. Comput..

[13]  Kalyanmoy Deb,et al.  Muiltiobjective Optimization Using Nondominated Sorting in Genetic Algorithms , 1994, Evolutionary Computation.

[14]  H. Martinez-Alfaro,et al.  Simulated annealing and stochastic ruler algorithms for wavelength assignment planning in WDM optical networks , 1999, IEEE SMC'99 Conference Proceedings. 1999 IEEE International Conference on Systems, Man, and Cybernetics (Cat. No.99CH37028).

[15]  Ezhan Karasan,et al.  Effects of wavelength routing and selection algorithms on wavelength conversion gain in WDM optical networks , 1996, Proceedings of GLOBECOM'96. 1996 IEEE Global Telecommunications Conference.

[16]  Miguel A. Vega-Rodríguez,et al.  A Multiobjective Gravitational Search Algorithm Applied to the Static Routing and Wavelength Assignment Problem , 2011, EvoApplications.

[17]  Chunming Qiao,et al.  Wavelength assignment for dynamic traffic in multi-fiber WDM networks , 1998, Proceedings 7th International Conference on Computer Communications and Networks (Cat. No.98EX226).

[18]  Ender Ayanoglu,et al.  Comparison of wavelength-interchanging and wavelength-selective cross-connects in multiwavelength all-optical networks , 1996, Proceedings of IEEE INFOCOM '96. Conference on Computer Communications.

[19]  Dervis Karaboga,et al.  AN IDEA BASED ON HONEY BEE SWARM FOR NUMERICAL OPTIMIZATION , 2005 .

[20]  Carlos A. Coello Coello,et al.  Advances in Multi-Objective Nature Inspired Computing , 2010, Advances in Multi-Objective Nature Inspired Computing.

[21]  Hossein Nezamabadi-pour,et al.  GSA: A Gravitational Search Algorithm , 2009, Inf. Sci..

[22]  Benjamín Barán,et al.  Routing and wavelength assignment over WDM optical networks: a comparison between MOACOs and classical approaches , 2007, LANC.

[23]  J. Y. Yen,et al.  Finding the K Shortest Loopless Paths in a Network , 2007 .

[24]  Miguel A. Vega-Rodríguez,et al.  Tackling the Static RWA Problem by Using a Multiobjective Artificial Bee Colony Algorithm , 2011, IWANN.

[25]  Imrich Chlamtac,et al.  Purely optical networks for terabit communication , 1989, IEEE INFOCOM '89, Proceedings of the Eighth Annual Joint Conference of the IEEE Computer and Communications Societies.

[26]  Anne Auger,et al.  Theory of the hypervolume indicator: optimal μ-distributions and the choice of the reference point , 2009, FOGA '09.

[27]  Ling Li,et al.  Dynamic wavelength routing using congestion and neighborhood information , 1999, TNET.

[28]  Xin-She Yang,et al.  Firefly Algorithms for Multimodal Optimization , 2009, SAGA.

[29]  R. Solovay.  A model of set-theory in which every set of reals is Lebesgue measurable* , 1970 .

[30]  Benjamín Barán,et al.  A Multiobjective Ant Colony System for Vehicle Routing Problem with Time Windows , 2003, Applied Informatics.

[31]  Amit Wason,et al.  Routing and wavelength assignment in wavelength-routed all-optical WDM networks , 2010 .

[32]  Jitender S. Deogun,et al.  Route optimization of multicast sessions in sparse light-splitting optical networks , 2001, GLOBECOM'01. IEEE Global Telecommunications Conference (Cat. No.01CH37270).

[33]  Griff L. Bilbro,et al.  Comparison of a genetic algorithm with a simulated annealing algorithm for the design of an ATM network , 2000, IEEE Communications Letters.

[34]  Aravind Seshadri,et al.  A FAST ELITIST MULTIOBJECTIVE GENETIC ALGORITHM: NSGA-II , 2000 .

[35]  Miguel A. Vega-Rodríguez,et al.  Solving the Routing and Wavelength Assignment Problem in WDM Networks by Using a Multiobjective Variable Neighborhood Search Algorithm , 2010, SOCO.

[36]  Miguel A. Vega-Rodríguez,et al.  A Differential Evolution with Pareto Tournaments for solving the Routing and Wavelength Assignment problem in WDM networks , 2010, IEEE Congress on Evolutionary Computation.

[37]  Tak-Shing Peter Yum,et al.  Analysis of least congested path routing in WDM lightwave networks , 1994, Proceedings of INFOCOM '94 Conference on Computer Communications.

[38]  Suresh Subramaniam,et al.  Wavelength assignment in fixed routing WDM networks , 1997, Proceedings of ICC'97 - International Conference on Communications.

[39]  Benjamín Barán,et al.  Solving multiobjective multicast routing problem with a new ant colony optimization approach , 2005, LANC '05.

[40]  Masayuki Murata,et al.  Performance of alternate routing methods in all-optical switching networks , 1997, Proceedings of INFOCOM '97.

[41]  Wayne D. Grover,et al.  Capacity Planning of Survivable Mesh-based Transport Networks under Demand Uncertainty , 2005, Photonic Network Communications.

[42]  Ahmed E. Kamal,et al.  A survey of multicasting protocols for broadcast-and-select single-hop networks , 2002, IEEE Netw..

[43]  Biswanath Mukherjee,et al.  Fixed-alternate routing and wavelength conversion in wavelength-routed optical networks , 2002, TNET.

[44]  Witold Pedrycz,et al.  Optimizing QoS routing in hierarchical ATM networks using computational intelligence techniques , 2003, IEEE Trans. Syst. Man Cybern. Part C.

[45]  Branko Mikac,et al.  A heuristic approach to wavelength assignment in all-optical networks , 1998, MELECON '98. 9th Mediterranean Electrotechnical Conference. Proceedings (Cat. No.98CH36056).

[46]  I. Sengupta,et al.  A Genetic Algorithm Based Approach for Static Virtual Topology Design in Optical Networks , 2005, 2005 Annual IEEE India Conference - Indicon.

[47]  M. C. Sinclair,et al.  Ant colony optimisation for virtual-wavelength-path routing and wavelength allocation , 1999, Proceedings of the 1999 Congress on Evolutionary Computation-CEC99 (Cat. No. 99TH8406).

[48]  Kumar N. Sivarajan,et al.  Routing and wavelength assignment in all-optical networks , 1995, TNET.

[49]  Jun Zhang,et al.  Optimizing the Vehicle Routing Problem With Time Windows: A Discrete Particle Swarm Optimization Approach , 2012, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews).