Virtual Network Mapping: A Graph Pattern Matching Approach

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9147)

Abstract

Virtual network mapping (\(\mathsf {VNM}\)) is to build a network on demand by deploying virtual machines in a substrate network, subject to constraints on capacity, bandwidth and latency. It is critical to data centers for coping with dynamic cloud workloads. This paper shows that \(\mathsf {VNM}\) can be approached by graph pattern matching, a well-studied database topic. (1) We propose to model a virtual network request as a graph pattern carrying various constraints, and treat a substrate network as a graph in which nodes and edges bear attributes specifying their capacity. (2) We show that a variety of mapping requirements can be expressed in this model, such as virtual machine placement, network embedding and priority mapping. (3) In this model, we formulate \(\mathsf {VNM}\) and its optimization problem with a mapping cost function. We establish complexity bounds of these problems for various mapping constraints, ranging from PTIME to NP-complete. For intractable optimization problems, we further show that these problems are approximation-hard, i.e., NPO-complete in general and APX-hard even for special cases.

References

  1. 1.
  2. 2.
  3. 3.
  4. 4.
  5. 5.
  6. 6.
  7. 7.
    Aboulnaga, A., Amza, C., Salem, K.: Virtualization and databases: state of the art and research challenges. In: EDBT (2008)Google Scholar
  8. 8.
    Aboulnaga, A., Salem, K., Soror, A., Minhas, U., Kokosielis, P., Kamath, S.: Deploying database appliances in the cloud. IEEE Data Eng. Bull 32(1), 13–20 (2009)Google Scholar
  9. 9.
    Andersen, D.: Theoretical approaches to node assignment (2002)(unpublished manuscript)Google Scholar
  10. 10.
    Ausiello, G.: Complexity and Approximation: Combinatorial Optimization Problems and Their Approximability Properties. Springer Verlag, Heidelberg (1999)MATHCrossRefGoogle Scholar
  11. 11.
    Bavier, A.C., Feamster, N., Huang, M., Peterson, L.L., Rexford, J.: In VINI veritas: realistic and controlled network experimentation. In: SIGCOMM (2006)Google Scholar
  12. 12.
    Bobroff, N., Kochut, A., Beaty, K.: Dynamic placement of virtual machines for managing sla violations. In: IM (2007)Google Scholar
  13. 13.
    Chowdhury, N., Boutaba, R.: A survey of network virtualization. Comput. Netw. 54(5), 862–876 (2010)MATHCrossRefGoogle Scholar
  14. 14.
    Chowdhury, N., Rahman, M., Boutaba, R.: Virtual network embedding with coordinated node and link mapping. In: INFOCOM (2009)Google Scholar
  15. 15.
    Díaz, J., Petit, J., Serna, M.: A survey of graph layout problems. CSUR 34(3), 313–356 (2002)CrossRefGoogle Scholar
  16. 16.
    Fan, W., Li, J., Ma, S., Tang, N., Wu, Y., Wu, Y.: Graph pattern matching: from intractable to polynomial time. In: VLDB (2010)Google Scholar
  17. 17.
    Fan, W., Li, J., Ma, S., Wang, H., Wu, Y.: Graph homomorphism revisited for graph matching. In: VLDB (2010)Google Scholar
  18. 18.
    Gallagher, B.: Matching structure and semantics: a survey on graph-based pattern matching. In: AAAI FS (2006)Google Scholar
  19. 19.
    Guo, C., Lu, G., Li, D., Wu, H., Zhang, X., Shi, Y., Tian, C., Zhang, Y., Lu, S.: Bcube: a high performance, server-centric network architecture for modular data centers. In: SIGCOMM (2009)Google Scholar
  20. 20.
    Lischka, J., Karl, H.: A virtual network mapping algorithm based on subgraph isomorphism detection. In: SIGCOMM workshop VISA (2009)Google Scholar
  21. 21.
    Reinhardt, W.: Advance reservation of network resources for multimedia applications. In: IWACA (1994)Google Scholar
  22. 22.
    Ricci, R., Alfeld, C., Lepreau, J.: A solver for the network testbed mapping problem. SIGCOMM CCR 33, 65–81 (2003)CrossRefGoogle Scholar
  23. 23.
    Trelles, O., Prins, P., Snir, M., Jansen, R.C.: Big data, but are we ready? Nat. Rev. Genet. 12(3), 224 (2011)CrossRefGoogle Scholar
  24. 24.
    Xiong, P., Chi, Y., Zhu, S., Moon, H.J., Pu, C., Hacigümüs, H.: Intelligent management of virtualized resources for database systems in cloud environment. In: ICDE (2011)Google Scholar
  25. 25.
    Yu, M., Yi, Y., Rexford, J., Chiang, M.: Rethinking virtual network embedding: substrate support for path splitting and migration. SIGCOMM CCR 38(2), 17–29 (2008)CrossRefGoogle Scholar
  26. 26.
    Zong, B., Raghavendra, R., Srivatsa, M., Yan, X., Singh, A.K., Lee, K.: Cloud service placement via subgraph matching. In: ICDE (2014)Google Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.RCBD and SKLSDE LabBeihang UniversityBeihangChina
  2. 2.University of EdinburghEdinburghUK

Personalised recommendations