Abstract
In this paper we present the extremely simple algorithms to improve the performance of dynamic programming, one of the fundamental techniques for solving optimization problems, in the environment of data-intensive computing. These algorithms are applied to several NP hard combinatorial optimization problems. The presented algorithms decrease the time and space complexity of dynamic programming algorithms by exploiting word parallelism. The computational experiments demonstrate that the achieved results are not only of theoretical interest, but also that the techniques developed may actually lead to considerably faster algorithms.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Baker, J., Bond, C., Corbett, J.C., et al.: Megastore: providing scalable, highly available storage for interactive services. In: 5th Biennial Conference on Innovative Data Systems Research, CIDR 2011 (2011)
Diehl, M.: Database Replicatio with Mysql. Linux Journal, May 2010
Dodis, Y., Patrascu, M., Thorup, M.: Changing base without losing space. In: Proceeding of 42nd ACM Symposium on Theory of Computing (STOC) (2010)
Frenkel, E., Nikolaev, A., Ushakov, A.: Knapsack problems in products of groups. J. Symbolic Comput. 74, 96–108 (2016)
Goerigk, M., Gupta, M., Ide, J., Schobel, A., Sen, S.: The robust knapsack problem with queries. Comput. Oper. Res. 55, 12–22 (2015)
Hans, K., Pferschy, U., Pisinger, D.: Knapsack Problems. Springer Verlag, Berlin (2005). https://doi.org/10.1007/978-3-540-24777-7
He, Y., Zhang, X., Li, W., Li, X., Wu, W., Gao, S.: Algorithms for randomized time-varying knapsack problems. J. Comb. Optim. 31, 95–117 (2016)
Kong, X., Gao, L., Ouyang, H., Li, S.: Solving large-scale multidimensional knapsack problems with a new binary harmony search algorithm. Comput. Oper. Res. 63, 7–22 (2015)
Krishnamoorthy, B.: Thinner is not always better: cascade knapsack problems. Oper. Res. Lett. 45, 77–83 (2017)
Schulze, B., Paquete, L., Klamroth, K., Figueira, J.: Bi-dimensional knapsack problems with one soft constraint. Comput. Oper. Res. 78, 15–26 (2017)
Ssulami, A.M., Mathkour, H.: Faster string matching based on hashing and bit-parallelism. Inf. Process. Lett. 123, 51–55 (2017)
Swamy, C.: Improved approximation algorithms for matroid and knapsack median problems and applications. ACM Trans. Algorithms 49, 1–49 (2016)
Viola, E.: Bit-probe lower bounds for succinct data structures. In: Proceeding of 41st ACM Symposium on Theory of Computing (STOC), pp. 475–482 (2009)
Acknowledgment
This work was supported in part by the Quanzhou Foundation of Science and Technology under Grant No. 2013Z38, Fujian Provincial Key Laboratory of Data-Intensive Computing and Fujian University Laboratory of Intelligent Computing and Information Processing.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Wang, X., Zhu, D. (2017). Improving the Efficiency of Dynamic Programming in Big Data Computing. In: Wang, G., Atiquzzaman, M., Yan, Z., Choo, KK. (eds) Security, Privacy, and Anonymity in Computation, Communication, and Storage. SpaCCS 2017. Lecture Notes in Computer Science(), vol 10656. Springer, Cham. https://doi.org/10.1007/978-3-319-72389-1_7
Download citation
DOI: https://doi.org/10.1007/978-3-319-72389-1_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-72388-4
Online ISBN: 978-3-319-72389-1
eBook Packages: Computer ScienceComputer Science (R0)