Self-restructuring Mesh-connected Processor Arrays through Spares on Moved Diagonals, Direct Replacement and Built-in Circuits

Volume 8, Issue 3, June 2023     |     PP. 91-117      |     PDF (2323 K)    |     Pub. Date: October 30, 2023
DOI: 10.54647/computer520386    83 Downloads     171632 Views  

Author(s)

Itsuo Takanami, Department of Technology in the former times, Yamaguchi University, Ube, Japan
Masaru Fukushi, Graduate School of Sciences and Technology for Innovation, Yamaguchi University, Ube, Japan

Abstract
We present a self-reconfiguring scheme for N × N mesh-connected processor arrays (PAs) with N spares where faulty PEs are directly replaced by spare PEs functionally located on the diagonals which may be moved. This replacement is formalized as a matching problem in graph theory. Then, the necessary and sufficient condition that all the faulty PEs in a PA are replaced (repaired) at the same time is given. Using the condition, a restructuring algorithm is given. By computer simulation, it is shown that the survival rates and the probabilities of the arrays increase so much, comparing with those of the existing network structures with the same number of spare PEs. The scheme is realized by digital circuits which can be built in a PA. The scheme may be useful in enhancing especially the run-time reliability and availability of PAs in mission critical applications where first self-reconfiguration is required without an external host computer and manual maintenance operations.

Keywords
fault-tolerance, mesh array, direct replacement, self-restructuring, built-in circuit

Cite this paper
Itsuo Takanami, Masaru Fukushi, Self-restructuring Mesh-connected Processor Arrays through Spares on Moved Diagonals, Direct Replacement and Built-in Circuits , SCIREA Journal of Computer. Volume 8, Issue 3, June 2023 | PP. 91-117. 10.54647/computer520386

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