Abstract
We address the problem of sorting in the presence of faults that may arbitrarily corrupt memory locations, and investigate the impact of memory faults both on the correctness and on the running times of mergesort-based algorithms. To achieve this goal, we develop a software testbed that simulates different fault injection strategies, and we perform a thorough experimental study using a combination of several fault parameters. Our experiments give evidence that simple-minded approaches to this problem are largely impractical, while the design of more sophisticated resilient algorithms seems really worth the effort. Another contribution of our computational study is a carefully engineered implementation of a resilient sorting algorithm, which appears robust to different memory fault patterns.
Work partially supported by the Sixth Framework Programme of the EU under Contract Number 507613 (Network of Excellence EuroNGI) and by MIUR, the Italian Ministry of Education, University and Research, under Project ALGO-NEXT.
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References
Assaf, S., Upfal, E.: Fault-tolerant sorting networks. SIAM J. Discrete Math. 4(4), 472–480 (1991)
Borgstrom, R.S., Rao Kosaraju, S.: Comparison based search in the presence of errors. In: Proc. 25th STOC, pp. 130–136 (1993)
Cook, C.R., Kim, D.J.: Best sorting algorithms for nearly sorted lists. Comm. of the ACM 23, 620–624 (1980)
Feige, U., Raghavan, P., Peleg, D., Upfal, E.: Computing with noisy information. SIAM J. on Comput. 23, 1001–1018 (1994)
Finocchi, I., Italiano, G.F.: Sorting and searching in the presence of memory faults (without redundancy). In: Proc. 36th STOC, pp. 101–110 (2004)
Finocchi, I., Grandoni, F., Italiano, G.F.: Optimal sorting and searching in the presence of memory faults. In: Bugliesi, M., Preneel, B., Sassone, V., Wegener, I. (eds.) ICALP 2006. LNCS, vol. 4052. Springer, Heidelberg (2006)
Kleitman, D.J., Meyer, A.R., Rivest, R.L., Spencer, J., Winklmann, K.: Coping with errors in binary search procedures. J. Comp. Syst. Sci. 20, 396–404 (1980)
Leighton, T., Ma, Y.: Tight bounds on the size of fault-tolerant merging and sorting networks with destructive faults. SIAM J. on Comput. 29(1), 258–273 (1999)
Pelc, A.: Searching games with errors: Fifty years of coping with liars. Theoret. Comp. Sci. 270, 71–109 (2002)
Van de Goor, A.J.: Testing semiconductor memories: Theory and practice. ComTex Publishing, Gouda (1998)
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Ferraro-Petrillo, U., Finocchi, I., Italiano, G.F. (2006). The Price of Resiliency: A Case Study on Sorting with Memory Faults. In: Azar, Y., Erlebach, T. (eds) Algorithms – ESA 2006. ESA 2006. Lecture Notes in Computer Science, vol 4168. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11841036_68
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DOI: https://doi.org/10.1007/11841036_68
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-38875-3
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