A column generation technique for routing and spectrum allocation in cloud-ready survivable elastic optical networks

• Autorzy: Goścień R. , Walkowiak K.

Identyfikatory

DOI

10.1515/amcs-2017-0042

• Języki publikacji: EN

Abstrakty

EN

Driven by increasing user requirements and expectations, the fast development of telecommunications networks brings new challenging optimization problems. One of them is routing and spectrum allocation (RSA) of three types of network flows (unicast, anycast, multicast) in elastic optical networks (EONs) implementing dedicated path protection (DPP). In the paper, we model this problem as integer linear programming (ILP) and we introduce two new optimization approaches—a dedicated heuristic algorithm and a column generation (CG)-based method. Then, relying on extensive simulations, we compare algorithm performance with reference methods and evaluate CG efficiency in detail. The results show that the proposed CG method significantly outperforms reference algorithms and achieves results very close to optimal ones (the average distance to optimal results was at most 2.1%).

Słowa kluczowe

EN

elastic optical network; anycast traffic; multicast traffic; network survivability; column generation technique

PL

elastyczna sieć optyczna; sieć przełącznikowa; przeżywalność sieci

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2017
• Tom: Vol. 27, no. 3
• Strony: 591--603
• Opis fizyczny: Bibliogr. 36 poz., tab., wykr.

Twórcy

autor

Goścień R.

• Department of Systems and Computer Networks, Faculty of Electronics, Wrocław University of Science and Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

autor

Walkowiak K.

• Department of Systems and Computer Networks, Faculty of Electronics, Wrocław University of Science and Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

Bibliografia

• [1] Aibin, M., Goścień, R. and Walkowiak, K. (2016). Multicasting versus anycasting: How to efficiently deliver content in elastic optical networks, International Conference on Transparent Optical Networks (ICTON), Trento, Italy, pp. 1–4.
• [2] Cai, A., Zukerman, M., Lin, R. and Shen, G. (2015). Survivable multicast and spectrum assignment in light-tree-based elastic optical networks, Asia Communications and Photonics (ACP), Hong Kong, China, p. ASu4E.1.
• [3] Chen, X., Tornatore, M., Zhu, S., Ji, F., Zhou, W., Chen, C., Hu, D., Jiang, L. and Zhu, Z. (2015). Flexbile availability-aware differentiated protection in software-defined elastic optical networks, Journal of Lightwave Technology 33(18): 3872–3882.
• [4] Christodoulopoulos, K., Tomkos, I. and Varvarigos, E. (2011). Elastic bandwidth allocation in flexible OFDM-based optical networks, IEEE/OSA Journal of Lightwave Technology 29(9): 1354–1366.
• [5] Cisco (2016). Cisco visual network index: Forecast and methodology, 2015–2020, https://www.cisco.com/c/en/us/solutions/collateral/service-provider/visual-networking-index-vni/complete-white-paper-c11-481360.html.
• [6] Derrac, J., García, S., Molina, D. and Herrera, F. (2011). A practical tutorial on the use of nonparametric statistical tests as a methodology for comparing evolutionary and swarm intelligence algorithms, Swarm and Evolutionary Computation 1(1): 3–18.
• [7] Goścień, R., Walkowiak, K. and Klinkowski, M. (2014). Joint anycast and unicast routing and spectrum allocation with dedicated path protection in elastic optical networks, Conference on Design of Reliable Communication Networks (DRCN), Gent, Belgium, pp. 1–8.
• [8] Hofmann, M. and Beaumont, L. (2005). Content Networking: Architecture, Protocols, and Practice, Morgan Kaufmann, Burlington, MA.
• [9] ITU-T (2012). ITU-T recommendation G.694.1. (Ed. 2.0), Spectral grids for WDM applications: DWDM frequency grid, https://www.itu.int/rec/T-REC-G.694.1/en.
• [10] Jinno, M., Kozicki, B., Takara, H., Watanabe, A., Sone, Y., Tanaka, T. and Hirano, A. (2010). Distance-adaptive spectrum resource allocation in spectrum-sliced elastic optical path network, IEEE Communications Magazine 48(8): 138–145.
• [11] Klinkowski, M. and Walkowiak, K. (2013). On the advantages of elastic optical networks for provisioning of cloud computing traffic, IEEE Network 27(6): 44–51.
• [12] Klinkowski, M. and Walkowiak, K. (2015). A column generation-based optimization of anycast and multicast traffic in distance-adaptive flexgrid networks, Asia Communications and Photonics (ACP), Hong Kong, China, p. AS4H.3.
• [13] Klinkowski, M., Walkowiak, K. and Goścień, R. (2013). Optimization algorithms for data center location problem in elastic optical networks, International Conference on Transparent Optical Networks (ICTON), Cartagena, Spain, pp. 1–5.
• [14] Klinkowski, M., ˙Zotkiewicz, M., Walkowiak, K., Pióro, M., Ruiz, M. and Velasco, L. (2016). Solving large instances of the RSA problem in flexgrid elastic optical networks, Journal of Optical Communication and Networking 8(5): 320–330.
• [15] Kmiecik, W., Goścień, R., Walkowiak, K. and Klinkowski, M. (2014). Two-layer optimization of survivable overlay multicasting in elastic optical networks, Optical Switching and Networking 14: 164–178.
• [16] Kobusińska, A., Brzeziński, J., Boroń, M., Inatlewski, Ł., Jabczyński, M. and Maciejewski, M. (2016). A branch hash function as a method of message synchronization in anonymous P2P conversations, International Journal of Applied Mathematics and Computer Science 26(2): 479–493, DOI: 10.1515/amcs-2016-0034.
• [17] Lasdon, L.S (1970). Optimization Theory for Large Systems, Dover Publications, Mineola, NY.
• [18] Liu, X., Gong, L. and Zhu, Z. (2013). On the spectrum-efficient overlay multicast in elastic optical networks built with multicast-incapable switches, IEEE Communications Letters 7(9): 1860–1863.
• [19] Lu, P., Zhang, L., Liu, Z., Yao, J. and Zhu, Z. (2015). Highly efficient data migration and backup for big data applications in elastic optical inter-data-center networks, IEEE Network 29(5): 36–42.
• [20] NLANR (2007). National laboratory for applied network research (NLANR) project, Technical report, NSFNET—the National Science Foundation Network, http://moat.nlanr.net/.
• [21] Palkopoulou, E., Angelou, M., Klonidis, D., Christodoulopoulos, K., Klekamp, A., Buchali, F., Varvarigos, E. and Tomkos, I. (2012). Quantifying spectrum, cost, and energy efficiency in fixed-grid and flex-grid networks, Journal of Optical Communications and Networking 4(11): B42–B51.
• [22] Politi, C., Anagnostopoulos, V., Matrakidis, C., Stavdas, A., Lord, A., Lopez, V. and Fernandez-Palacios, J.P. (2012). Dynamic operation of flexi-grid OFDM-based networks, Optical Fiber Conference (OFC), Los Angeles, CA, USA, p. OTh3B.2.
• [23] Ruiz, M., Pióro, M., Żotkiewicz, M., Klinkowski, M. and Velasco, L. (2013). Column generation algorithm for rsa problems in flexgrid optical networks, Photonic Network Communications 26(2): 53–64.
• [24] Ruiz, M. and Velasco, L. (2015). Serving multicast requests on single-layer and multilayer flexgrid networks, Journal of Optical Communications and Networking 7(3): 146–155.
• [25] Shen, G., Guo, H. and Bose, S.K. (2016). Survivable elastic optical networks: Survey and perspective (invited), Photonic Network Communications 31(1): 71–87.
• [26] Song, F., Huang, D., Zhou, H., Zhang, H. and You, I. (2014). An optimization-based scheme for efficient virtual machine placement, International Journal of Parallel Programming 42(5): 853–872.
• [27] Velasco, L., Castro, A., Ruiz, M. and Junyent, G. (2014). Solving routing and spectrum allocation related optimization problems: From off-line to in-operation flexgrid network planning, Journal of Lightwave Technology 32(16): 2780–2795.
• [28] Walkowiak, K. (2010). Anycasting in connection-oriented computer networks: Models, algorithms and results, International Journal of Applied Mathematics and Computer Science 20(1): 207–220, DOI: 10.2478/v10006-010-0015-5.
• [29] Walkowiak, K. (2016). Modeling and Optimization of Cloud-Ready and Content-Oriented Networks, Springer, Berlin.
• [30] Walkowiak, K., Goścień, R., Woźniak, M. and Klinkowski, M. (2015). Joint optimization of multicast and unicast flows in elastic optical networks, IEEE International Conference on Communications (IEEE ICC), London, UK, pp. 5186–5191.
• [31] Walkowiak, K., Kucharzak, M., Kopeć, P. and Kasprzak, A. (2014). ILP model and algorithms for restoration of anycast flows in elastic optical networks, Reliable Networks Design and Modeling (RNDM), Barcelona, Spain, pp. 102–106.
• [32] Wang, C., Shen, G. and Bose, S.K. (2015). Distance-adaptive dynamic routing and spectrum allocation in elastic optical networks with shared backup path protection, Journal of Lightwave Technology 33(14): 2955–2964.
• [33] Yang, L., Gong, L., Zhou, F., Cousin, B., Molnar, M. and Zhu, Z. (2015). Leveraging light forest with rateless network coding to design efficient all-optical multicast schemes for elastic optical networks, Journal of Lightwave Technology 33(18): 3945–3955.
• [34] Zhang, L. and Zhu, Z. (2014). Dynamic anycast in inter-datacenter networks over elastic optical infrastructure, International Conference on Computing, Networking and Communications (ICNC), Honolulu, HI, USA, pp. 491–495.
• [35] Zhao, J., Mhedheb, Y., Tao, J., Jrad, F., Liu, Q. and Streit, A. (2014). Using a vision cognitive algorithm to schedule virtual machines, International Journal of Applied Mathematics and Computer Science 24(3): 535–550, DOI: 10.2478/amcs-2014-0039.
• [36] Żotkiewicz, M., Ruiz, M., Klinkowski, M., Pióro, M. and Velasco, L. (2015). Reoptimization of dynamic flexgrid optical networks after link failure repairs, Journal of Optical Communications and Networking 7(1): 49–61.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).