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Deterministic Computations on a PRAM with Static Faults
| Citations: | 6 - 0 self |
BibTeX
@MISC{Chlebus_deterministiccomputations,
author = {Bogdan S. Chlebus and Leszek Gasieniec and Andrzej Pelc},
title = {Deterministic Computations on a PRAM with Static Faults},
year = {}
}
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Abstract
We develop a deterministic simulation of fully operational Parallel Random Access Machine (PRAM) on a PRAM with some faulty processors and memory cells. The faults considered are static, i.e., once the machine starts to operate, the operational/faulty status of PRAM components does not change. The simulating machine can tolerate a constant fraction of faults among processors and memory cells. The simulating PRAM has n processors and m memory cells, and simulates a PRAM with n processors and m) memory cells. The simulation is in three phases: (1) preprocessing, followed by (2) retrieving the input by the processors active in the simulation, followed by (3) the proper part of the simulation performed in a step-by-step fashion. Preprocessing is performed in time O(( m n + log n) log n). The input is retrieved in time O(log 2 n). The slowdown of the proper part of the simulation is O(log m).
