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Core group placement: allocation and provisioning of heterogeneous resources

  • Original Paper
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EURO Journal on Computational Optimization

Abstract

We present a theoretical and empirical study on a recently introduced combinatorial optimization problem, namely core group placement problem. The problem arises from real-world business requirements as part of resource allocation in cloud management. In particular, it focuses on the allocation and provisioning of a set of heterogeneous resources serving multiple customers each with different service-level agreements. There exist certain business rules that govern the application stemming from privacy, performance, and capacity requirements. From a theoretical point of view, we prove that the problem is intrinsically hard, yet, from a practical point of view, we show how to formulate it as a constrained optimization program using constraint programming (CP), and alternatively, using mathematical programming (MP). Our experimental results demonstrate that the CP solution outperforms its MP counterpart. We then move toward a dynamic setting where the problem manifests itself in the real world. We show that CP model not only addresses the resource allocation problem but it also enables resource provisioning to take future considerations and system growth into account when making decisions. Overall, the CP solution stands out as a high-level, declarative solution that is efficient, easy to maintain and can address multiple scenarios.

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Notes

  1. We would like to thank our anonymous reviewers for this suggestion.

References

  • Ábrahám E, Corzilius F, Johnsen EB, Kremer G, Mauro J (2016) Zephyrus2: on the fly deployment optimization using SMT and CP technologies. In: International symposium on dependable software engineering: theories, tools, and applications. Springer, New York, pp 229–245

  • Ahuja RK, Magnanti TL, Orlin JB (1993) Network flows: theory, algorithms, and applications. Prentice-Hall, Inc., Upper Saddle River

  • Apache (2016) Lucene core. https://lucene.apache.org/. Accessed 16 Aug 2017

  • Apt K (2003) Principles of constraint programming. Cambridge University Press, Cambridge

    Book  Google Scholar 

  • Boussemart F, Hemery F, Lecoutre C, Sais L (2004) Boosting systematic search by weighting constraints. In: ECAI, vol. 16

  • Cambazard H, Mehta D, OSullivan B, Simonis H (2013) Bin packing with linear usage costs–an application to energy management in data centres. In: International conference on principles and practice of constraint programming. Springer, New York, pp 47–62

  • De Cauwer M, Mehta D, O’Sullivan B (2016) The temporal bin packing problem: an application to workload management in data centres. In: IEEE 28th international conference on tools with artificial intelligence (ICTAI), 2016, pp 157–164

  • Dupont C, Hermenier F, Schulze T, Basmadjian R, Somov A, Giuliani G (2015) Plug4green: a flexible energy-aware vm manager to fit data centre particularities. Ad Hoc Netw 25:505–519

    Article  Google Scholar 

  • Endo PT, de Almeida Palhares AV, Pereira NCVN, Gonçalves GE, Sadok D, Kelner J, Melander B, Mångs J (2011) Resource allocation for distributed cloud: concepts and research challenges. IEEE Netw 25(4):42–46. https://doi.org/10.1109/MNET.2011.5958007

    Article  Google Scholar 

  • Hazewinkel M (2001) Minimax principle. Encyclopedia of Mathematica. Springer

  • Hermenier F, Lawall J, Muller G (2013) Btrplace: a flexible consolidation manager for highly available applications. IEEE Trans Dependable Secure Comput 10(5):273–286

    Article  Google Scholar 

  • Hermenier F, Demassey S, Lorca X (2011) Bin repacking scheduling in virtualized datacenters. In: Principles and practice of constraint programming–CP 2011. Springer, New York pp 27–41

  • Hermenier F, Lorca X, Menaud JM, Muller G, Lawall J (2009) Entropy: a consolidation manager for clusters. In: Proceedings of the 2009 ACM SIGPLAN/SIGOPS international conference on Virtual execution environments. ACM, pp 41–50

  • IBM (2015) IBM ILOG CPLEX Optimization Studio 12.5

  • Kadioglu S, Colena M, Sebbah S (2016) Heterogeneous resource allocation in cloud management. In: 15th IEEE international symposium on network computing and applications, NCA 2016, Cambridge, Boston, 2016, pp 35–38. https://doi.org/10.1109/NCA.2016.7778589

  • Kant K (2009) Data center evolution: a tutorial on state of the art, issues, and challenges. Comput Netw 53(17):2939–2965

    Article  Google Scholar 

  • Katriel I, Thiel S (2005) Complete bound consistency for the global cardinality constraint. Constraints 10(3):191–217

    Article  Google Scholar 

  • Laurière J (1978) A language and a program for stating and solving combinatorial problems. Artif Intell 10(1):29–127. https://doi.org/10.1016/0004-3702(78)90029-2

    Article  Google Scholar 

  • Lim N, Majumdar S, Ashwood-Smith P (2015) A constraint programming based Hadoop scheduler for handling MapReduce jobs with deadlines on clouds. In: Proceedings of the 6th ACM/SPEC international conference on performance engineering, ICPE ’15. ACM, New York, pp 111–122. https://doi.org/10.1145/2668930.2688058

  • Lombardi M, Milano M (2012) Optimal methods for resource allocation and scheduling: a cross-disciplinary survey. Constraints 17(1):51–85

    Article  Google Scholar 

  • Mitten L (1970) Branch-and-bound methods: general formulation and properties. Oper Res 18:24–34

    Article  Google Scholar 

  • Nemhauser G, Wolsey L (1988) Integer and combinatorial optimization. Wiley-Interscience, New York

    Book  Google Scholar 

  • Oplobedu A, Marcovitch J, Tourbier Y (1989) Charme: un langage industriel de programmation par contraintes, illustré par une application chez renault. In: Proceedings of the ninth international workshop on expert systems and their applications: general conferencehnical, pp 55–70

  • Padberg M, Rinaldi G (1991) A branch-and-cut algorithm for the resolution of large scale traveling salesman problems. SIAM Rev 33:66–100

    Article  Google Scholar 

  • Rai A, Bhagwan R, Guha S (2012) Generalized resource allocation for the cloud. In: Proceedings of the third ACM symposium on cloud computing. ACM

  • Rardin RL (2016) Optimization in operations research. Pearson, Delhi

    Google Scholar 

  • Reale A, Bellavista P, Corradi A, Milano M (2014) Evaluating cp techniques to plan dynamic resource provisioning in distributed stream processing. In: Integration of AI and OR techniques in constraint programming. Springer, New York, pp 193–209

  • Refalo P (2004) Impact-based search strategies for constraint programming. In: Principles and practice of constraint programming–CP 2004. Springer, pp 557–571

  • Régin JC (1994) A filtering algorithm for constraints of difference in CSPS. In: Proceedings of the twelfth national conference on artificial intelligence, vol 1, AAAI ’94. American Association for Artificial Intelligence, Menlo Park, pp 362–367. http://dl.acm.org/citation.cfm?id=199288.178024

  • Régin JC, Rezgui M (2011) Discussion about constraint programming bin packing models. AI for data center management and cloud computing, vol 11

  • Schaus P (2009) Solving balancing and bin-packing problems with constraint programming. PhD Dissertation, Universit catholique de Louvain-la-Neuve

  • Sebbah S, Bagley C, Colena M, Kadioglu S (2016) Availability optimization in cloud-based in-memory data grids. In: Proceedings of 22nd international conference principles and practice of constraint programming, CP 2016, Toulouse, 2016, pp 666–679. https://doi.org/10.1007/978-3-319-44953-1_42

  • Shaw P (2004) A constraint for bin packing. In: Principles and practice of constraint programming–CP 2004, Springer, New York, pp 648–662

  • Smiley D, Pugh E, Parisa K (2014) Apache Solr 4 enterprise search server. Packt Publishing, Birmingham

  • Team Gecode (2016) Gecode: generic constraint development environment. http://www.gecode.org/. Accessed 16 Aug 2017

  • Van Hentenryck P, Carillon JP (1988) Generality versus specificity: an experience with AI and OR techniques. In: Proceedings of the seventh national conference on artificial intelligence, pp 660–664

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Correspondence to Serdar Kadıoğlu.

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Kadıoğlu, S. Core group placement: allocation and provisioning of heterogeneous resources. EURO J Comput Optim 7, 243–264 (2019). https://doi.org/10.1007/s13675-018-0095-9

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