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Processing Online SAT Instances with Waiting Time Constraints and Completion Weights

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Machine Learning, Optimization, and Data Science (LOD 2018)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 11331))

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Abstract

In online scheduling, jobs arrive over time and information about future jobs is typically unknown. In this paper, we consider online scheduling problems where an unknown and independent set of Satisfiability (SAT) problem instances are released at different points in time for processing. We assume an existing problem where instances can remain unsolved and must start execution before a waiting time constraint is met. We also extend the problem by including instance weights and used an existing approach that combines the use of machine learning, interruption heuristics, and an extension of a Mixed Integer Programming (MIP) model to maximize the total weighted number of solved instances that satisfy the waiting time constraints. Experimental results over an extensive set of SAT instances show an improvement of up to 22.3\(\times \) with respect to generic ordering policies.

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References

  1. Anderson, E.J., Potts, C.N.: Online scheduling of a single machine to minimize total weighted completion time. Math. Oper. Res. 29(3), 686–697 (2004)

    Article  MathSciNet  Google Scholar 

  2. Angione, C., Occhipinti, A., Nicosia, G.: Satisfiability by Maxwell-Boltzmann and Bose-Einstein statistical distributions. ACM J. Exp. Algorithmics (JEA) 19, 1–4 (2014)

    MathSciNet  MATH  Google Scholar 

  3. Cutello, V., Nicosia, G.: A clonal selection algorithm for coloring, hitting set and satisfiability problems. In: Apolloni, B., Marinaro, M., Nicosia, G., Tagliaferri, R. (eds.) NAIS/WIRN -2005. LNCS, vol. 3931, pp. 324–337. Springer, Heidelberg (2006). https://doi.org/10.1007/11731177_39

    Chapter  Google Scholar 

  4. Duque, R., Arbelaez, A., Díaz, J.F.: Off-line and on-line scheduling of SAT instances with time processing constraints. In: Solano, A., Ordoñez, H. (eds.) CCC 2017. CCIS, vol. 735, pp. 524–539. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-66562-7_38

    Chapter  Google Scholar 

  5. Duque, R., Arbelaez, A., Díaz, J.F.: Online over time processing of combinatorial problems. Constraints 23(3), 1–25 (2018)

    Article  MathSciNet  Google Scholar 

  6. Graham, R.L., Lawler, E.L., Lenstra, J.K., Kan, A.R.: Optimization and approximation in deterministic sequencing and scheduling: a survey. Ann. Discrete Math. 5, 287–326 (1979)

    Article  MathSciNet  Google Scholar 

  7. Grossman, R.L.: The case for cloud computing. IT Prof. 11(2), 23–27 (2009)

    Article  Google Scholar 

  8. Hutter, F., Xu, L., Hoos, H.H., Leyton-Brown, K.: Algorithm runtime prediction: Methods & evaluation. Artif. Intell. 206, 79–111 (2014)

    Article  MathSciNet  Google Scholar 

  9. Nicosia, G., Conca, P.: Characterization of the \(\#k\)–SAT problem in terms of connected components. In: Pardalos, P., Pavone, M., Farinella, G.M., Cutello, V. (eds.) MOD 2015. LNCS, vol. 9432, pp. 257–268. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-27926-8_23

    Chapter  Google Scholar 

  10. Pinedo, M.L.: Scheduling: Theory, Algorithms, and Systems, 5th edn. Springer International Publishing, New York City (2016)

    Book  Google Scholar 

  11. Terekhov, D., Tran, T.T., Down, D.G., Beck, J.C.: Integrating queueing theory and scheduling for dynamic scheduling problems. J. Artif. Intell. Res. 50, 535–572 (2014)

    Article  MathSciNet  Google Scholar 

  12. Thain, D., Tannenbaum, T., Livny, M.: Distributed computing in practice: the condor experience. Concur.- Pract. Exp. 17(2–4), 323–356 (2005)

    Article  Google Scholar 

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Correspondence to Robinson Duque .

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Duque, R., Arbelaez, A., Díaz, J.F. (2019). Processing Online SAT Instances with Waiting Time Constraints and Completion Weights. In: Nicosia, G., Pardalos, P., Giuffrida, G., Umeton, R., Sciacca, V. (eds) Machine Learning, Optimization, and Data Science. LOD 2018. Lecture Notes in Computer Science(), vol 11331. Springer, Cham. https://doi.org/10.1007/978-3-030-13709-0_35

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  • DOI: https://doi.org/10.1007/978-3-030-13709-0_35

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  • Print ISBN: 978-3-030-13708-3

  • Online ISBN: 978-3-030-13709-0

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