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Optimal computer crash performance precaution
Blekinge Institute of Technology, School of Engineering, Department of Mathematics and Natural Sciences.
Blekinge Institute of Technology, School of Engineering, Department of Mathematics and Natural Sciences.
Blekinge Institute of Technology, School of Computing.
2012 (English)In: Discrete Mathematics & Theoretical Computer Science, ISSN 1462-7264, E-ISSN 1365-8050, Vol. 14, no 1, p. 55-68Article in journal (Refereed) Published
Abstract [en]

For a parallel computer system withmidentical computers, we study optimal performance precaution for one possible computer crash. We want to calculate the cost of crash precaution in the case of no crash. We thus define a tolerance level r meaning that we only tolerate that the completion time of a parallel program after a crash is at most a factor r + 1 larger than if we use optimal allocation on m - 1 computers. This is an r-dependent restriction of the set of allocations of a program. Then, what is the worst-case ratio of the optimal r-dependent completion time in the case of no crash and the unrestricted optimal completion time of the same parallel program? We denote the maximal ratio of completion times f(r, m) - i.e., the ratio for worst-case programs. In the paper we establish upper and lower bounds of the worst-case cost function f(r, m) and characterize worst-case programs.

Place, publisher, year, edition, pages
Maison de l'informatique et des mathematiques discretes , 2012. Vol. 14, no 1, p. 55-68
Keywords [en]
Computer crash, Load balancing, Optimization, Parallel computer, Process allocation, Scheduling
National Category
Mathematics Computer Sciences
Identifiers
URN: urn:nbn:se:bth-7056Local ID: oai:bth.se:forskinfoB06EE51C5781B5C7C1257AC90038EBEFOAI: oai:DiVA.org:bth-7056DiVA, id: diva2:834635
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Available from: 2012-12-21 Created: 2012-12-03 Last updated: 2023-08-18Bibliographically approved

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Laksman, EfraimLennerstad, HåkanLundberg, Lars

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