Reconfigurable fault-tolerant multicomputer network

  • Authors:
  • Svetlana P. Kartashev;Steven I. Kartashev

  • Affiliations:
  • University of Nebraska, Lincoln, Nebraska;Dynamic Computer Architecture, Inc., Lincoln, Nebraska

  • Venue:
  • AFIPS '83 Proceedings of the May 16-19, 1983, national computer conference
  • Year:
  • 1983

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Abstract

This paper discusses fault-tolerant reconfigurations of a multicomputer network organized as a binary tree. The paper shows how to reconfigure a binary tree with faulty nonleaves with lost connectivity into a binary tree in which all faulty nodes become leaves or form more complex end-tree structures of higher dimension. In both cases the faulty nodes are disconnected from a reconfigured fault-tolerant tree, which continues to function as a gracefully degraded tree made completely out of fault-free nodes. The reconfiguration techniques developed are based on fine mathematical ideas of shift-register theory; they can be performed with only a single reconfiguration code (called a bias) that is sent concurrently to all fault-free nodes of a tree. The techniques for finding this reconfiguration code are also very simple. For the case in which all faulty nodes become leaves, the required reconfiguration code can be found during the time of one mod-2 addition (one clock period). For the case in which all faulty nodes form an i-dimensional end-tree, the necessary reconfiguration code can be found following a simple process that includes (i-1) mod-2 additions performed sequentially. Once the reconfiguration code is found, it is sent to all fault-free nodes of a binary tree. A fault-tolerant reconfiguration into a gracefully degraded tree with disconnected faulty nodes can be performed during the time of one clock period, since it includes the time of a one-bit shift and mod-2 addition.