Parallel computing, failure recovery, and extreme values
DOI10.1080/15598608.2008.10411875zbMath1420.60057OpenAlexW1967505348MaRDI QIDQ2324083
Lars Nørvang Andersen, Soren Asmussen
Publication date: 13 September 2019
Published in: Journal of Statistical Theory and Practice (Search for Journal in Brave)
Full work available at URL: https://pure.au.dk/ws/files/41901195/imf_thiele_2007_13.pdf
logarithmic asymptoticsheavy tailsGumbel distributionmixture distributionFréchet distributiongeometric sumsrestarttriangular arrayCramér-Lundberg approximationfailure recoverypower tail
Central limit and other weak theorems (60F05) Extreme value theory; extremal stochastic processes (60G70) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)
Cites Work
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- Extremes and related properties of random sequences and processes
- Condition for convergence of maxima of random triangular arrays
- Stochastic simulation: Algorithms and analysis
- Asymptotic Behavior of Total Times for Jobs That Must Start Over if a Failure Occurs
- Computation of the distribution of the completion time when the work requirement is a ph random variableThis work was supported in part by the US Office of Naval Research under Contract no. N3014-88-K-0623, by NASA under Grant NAG-1-70, and by the Italian National Research Council CNR under the project “Material and Devices for Solid State Electronics” Grant no. 86.02177.61.
- The completion time of a job on multimode systems
- Performing tasks on synchronous restartable message-passing processors
- Time-optimal message-efficient work performance in the presence of faults
- Moment Convergence of Sample Extremes
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