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Scaling Optimal Allocation of Cloud Resources Using Lagrange Relaxation

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Job Scheduling Strategies for Parallel Processing (JSSPP 2023)

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Abstract

The rapid growth of Cloud Computing (CC) has increased the variety of computing resources, storage, and communication services that pose significant new challenges for the efficient use of cloud resources. The cost-efficient allocation of cloud resources has become a decisive premise for the adoption of CC services. The cost-efficient selection and scheduling of these resources to meet the demands of a scientific workflow is a challenging problem that is exacerbated by the inclusion of multiple CC providers. In this paper, we present a new strategy for the cost-efficient selection of CC resources using Lagrange relaxation. Our approach is based on preselection of resources and demand decomposition to create a series of smaller sub-problems, which allow the estimation of the best cost-structures and selection of CC service providers for a subset of the time period of the planning horizon. Decomposition of the demand is achieved through the boundary analysis of a continuous relaxation of the problem. Using the metrics defined in terms of the cost and time of completion, we demonstrate excellent performance with respect to optimal solutions. Our method reduced the computational time from hours to seconds for a representative 36-month problem and provided high-quality solutions (<0.05% relative error). Given the importance of selecting resources and scheduling complex scientific workflows, we believe that this novel strategy will be beneficial for many researchers and users of cloud computing resources.

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References

  1. Asner, D.M., Dart, E., Hara, T.: Belle II: experiment network and computing. Technical report arXiv:1308.0672. PNNL-SA-97204, August 2013. Contributed to CSS2013 (Snowmass)

  2. Friese, R.D., Halappanavar, M., Sathanur, A.V., Schram, M., Kerbyson, D.J., de la Torre, L.: Towards efficient resource allocation for distributed workflows under demand uncertainties. In: Proceedings of the 21st Workshop on Job Scheduling Strategies for Parallel Processing (2015)

    Google Scholar 

  3. Gao, P.X., Curtis, A.R., Wong, B., Keshav, S.: It’s not easy being green. ACM SIGCOMM Comput. Commun. Rev. 42(4), 211–222 (2012)

    Article  Google Scholar 

  4. Graham, R.L., Lawler, E.L., Lenstra, J.K., Rinnooy Kan, A.H.G.: Optimization and approximation in deterministic sequencing and scheduling: a survey. Ann. Discret. Math. 5(2), 287–326 (1979)

    Google Scholar 

  5. Halappanavar, M., Schram, M., de la Torre, L., Barker, K., Tallent, N.R., Kerbyson, D.J.: Towards efficient scheduling of data intensive high energy physics workflows. In: Proceedings of the 10th Workshop on Workflows in Support of Large-Scale Science. WORKS ’15, pp. 3:1–3:9. ACM, New York, NY, USA (2015)

    Google Scholar 

  6. Hara, T.: Belle II: computing and network requirements. In: Proceedings of the Asia-Pacific Advanced Network, pp. 115–122 (2014)

    Google Scholar 

  7. Harvey, N.J.A., Ladner, R.E., Lovász, L., Tamir, T.: Semi-matchings for bipartite graphs and load balancing. J. Algorithms 59(1), 53–78 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  8. Juve, G., Deelman, E.: Scientific workflows and clouds. XRDS 16(3), 14–18 (2010). https://doi.org/10.1145/1734160.1734166

  9. Kamiński, B., Szufel, P.: On optimization of simulation execution on amazon ec2 spot market. Simul. Model. Pract. Theory 58, 172–187 (2015)

    Article  Google Scholar 

  10. Mallipeddi, R., Suganthan, P.N.: Unit commitment - a survey and comparison of conventional and nature inspired algorithms. Int. J. Bio-Inspired Comput. 6(2), 71–90 (2014). https://doi.org/10.1504/IJBIC.2014.060609

    Article  Google Scholar 

  11. Roland, J., Figueira, J.R., De Smet, Y.: The inverse 0,1-knapsack problem: theory, algorithms and computational experiments. Discret. Optim. 10(2), 181–192 (2013). https://doi.org/10.1016/j.disopt.2013.03.001, https://www.sciencedirect.com/science/article/pii/S1572528613000066

  12. Saravanan, B., Das, S., Sikri, S., Kothari, D.P.: A solution to the unit commitment problem–a review. Front. Energy 7(2), 223–236 (2013)

    Article  Google Scholar 

  13. Schwartz, R., Dodge, J., Smith, N.A., Etzioni, O.: Green AI. Commun. ACM 63(12), 54–63 (2020). https://doi.org/10.1145/3381831

  14. Singer, G., Livenson, I., Dumas, M., Srirama, S.N., Norbisrath, U.: Towards a model for cloud computing cost estimation with reserved instances. In: Proceedings of 2nd International ICST Conference on Cloud Computing, CloudComp 2010 (2010)

    Google Scholar 

  15. Tarplee, K.M., Friese, R., Maciejewski, A.A., Siegel, H.J.: Efficient and scalable pareto front generation for energy and makespan in heterogeneous computing systems. In: Fidanova, S. (ed.) Recent Advances in Computational Optimization. SCI, vol. 580, pp. 161–180. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-12631-9_10

    Chapter  Google Scholar 

  16. Wright, B.: A review of unit commitment. ELENE4511, 28 May 2013

    Google Scholar 

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Acknowledgment

The research is supported in part by the U.S. DOE Exascale Computing Project’s (ECP) (17-SC-20-SC) ExaGraph codesign center and Laboratory Directed Research and Development Program at Pacific Northwest National Laboratory (PNNL).

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Correspondence to Luis de la Torre .

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de la Torre, L., Halappanavar, M. (2023). Scaling Optimal Allocation of Cloud Resources Using Lagrange Relaxation. In: Klusáček, D., Corbalán, J., Rodrigo, G.P. (eds) Job Scheduling Strategies for Parallel Processing. JSSPP 2023. Lecture Notes in Computer Science, vol 14283. Springer, Cham. https://doi.org/10.1007/978-3-031-43943-8_9

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  • DOI: https://doi.org/10.1007/978-3-031-43943-8_9

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  • Publisher Name: Springer, Cham

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  • Online ISBN: 978-3-031-43943-8

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