Reconfigurability and reliability of systolic/wavefront arrays
The authors study fault-tolerant redundant structures for maintaining reliable arrays. In particular, they assume that the desired array (application graph) is embedded in a certain class of regular, bounded-degree graphs called dynamic graphs. The degree of reconfigurability (DR) and DR with distan...
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| Veröffentlicht in: | IEEE transactions on computers Jg. 42; H. 7; S. 854 - 862 |
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| Format: | Journal Article |
| Sprache: | Englisch |
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New York, NY
IEEE
01.07.1993
Institute of Electrical and Electronics Engineers |
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| ISSN: | 0018-9340 |
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| Abstract | The authors study fault-tolerant redundant structures for maintaining reliable arrays. In particular, they assume that the desired array (application graph) is embedded in a certain class of regular, bounded-degree graphs called dynamic graphs. The degree of reconfigurability (DR) and DR with distance (DR/sup d/) of a redundant graph are defined. When DR and DR/sup d/ are independent of the size of the application graph, the graph is finitely reconfigurable (FR) and locally reconfigurable (LR), respectively. It is shown that DR provides a natural lower bound on the time complexity of any distributed reconfiguration algorithm and that there is no difference between being FR and LR on dynamic graphs. It is also shown that if both local reconfigurability and a fixed level of reliability are to be maintained, a dynamic graph must be of a dimension at least one greater than the application graph. Thus, for example, a one-dimensional systolic array cannot be embedded in a one-dimensional dynamic graph without sacrificing either reliability or locality of reconfiguration.< > |
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| AbstractList | The authors study fault-tolerant redundant structures for maintaining reliable arrays. In particular, they assume that the desired array (application graph) is embedded in a certain class of regular, bounded-degree graphs called dynamic graphs. The degree of reconfigurability (DR) and DR with distance (DR(d)) of a redundant graph are defined. When DR and DR(d) are independent of the size of the application graph, the graph is finitely reconfigurable (FR) and locally reconfigurable (LR), respectively. It is shown that DR provides a natural lower bound on the time complexity of any distributed reconfiguration algorithm and that there is no difference between being FR and LR on dynamic graphs. It is also shown that if both local reconfigurability and a fixed level of reliability are to be maintained, a dynamic graph must be of a dimension at least one greater than the application graph. Thus, for example, a one-dimensional systolic array cannot be embedded in a one-dimensional dynamic graph without sacrificing either reliability or locality of reconfiguration The authors study fault-tolerant redundant structures for maintaining reliable arrays. In particular, they assume that the desired array (application graph) is embedded in a certain class of regular, bounded-degree graphs called dynamic graphs. The degree of reconfigurability (DR) and DR with distance (DR/sup d/) of a redundant graph are defined. When DR and DR/sup d/ are independent of the size of the application graph, the graph is finitely reconfigurable (FR) and locally reconfigurable (LR), respectively. It is shown that DR provides a natural lower bound on the time complexity of any distributed reconfiguration algorithm and that there is no difference between being FR and LR on dynamic graphs. It is also shown that if both local reconfigurability and a fixed level of reliability are to be maintained, a dynamic graph must be of a dimension at least one greater than the application graph. Thus, for example, a one-dimensional systolic array cannot be embedded in a one-dimensional dynamic graph without sacrificing either reliability or locality of reconfiguration.< > In this paper, we study fault-tolerant redundant structures for maintaining reliable arrays. In particular, we assume the desired array (application graph) is embedded in a certain class of regular, bounded-degree graphs called dynamic graphs. We define the degree of reconfigurability DR, and DR with distance DR exp d, of a redundant graph. When DR (respectively, DR exp d) is independent of the size of the application graph, we say the graph is finitely reconfigurable, FR (respectively, locally reconfigurable, LR). We show that DR provides a natural lower bound on the time complexity of any distributed reconfiguration algorithm and that there is no difference between being FR and LR on dynamic graphs. We then show that if we wish to maintain both local reconfigurability and a fixed level of reliability, a dynamic graph must be of dimension at least one greater than the application graph. Thus, for example, a 1D systolic array cannot be embedded in a 1D dynamic graph without sacrificing either reliability or locality of reconfiguration. |
| Author | Sha, E.H.-M. Steiglitz, K. |
| Author_xml | – sequence: 1 givenname: E.H.-M. surname: Sha fullname: Sha, E.H.-M. organization: Dept. of Comput. Sci. & Eng., Notre Dame Univ., IN, USA – sequence: 2 givenname: K. surname: Steiglitz fullname: Steiglitz, K. |
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| Cites_doi | 10.1002/net.3230180307 10.1109/12.21143 10.1145/1634.2377 10.1145/28395.28401 10.1016/B978-0-12-566780-7.50022-2 10.1109/FTCS.1991.146698 10.1007/978-3-642-68402-9_27 10.1016/0021-9991(89)90235-0 10.1137/0219061 10.1109/TC.1982.1675922 10.1016/0743-7315(84)90010-8 10.1109/TC.1985.1676584 10.1109/TC.1976.1674712 10.1109/SPDP.1991.218202 10.1109/MC.1982.1653825 10.1109/12.54841 |
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| Keywords | Systolic array Fault tolerance Wavefront array Parallelism Reliability Dynamic graph Reconfiguration |
| Language | English |
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| References | ref13 ref12 ref15 ref14 kung (ref11) 1988 ref10 ref2 ref17 ref16 ref19 ref8 ref7 sami (ref18) 1986 ref9 ref4 chung (ref1) 1983 ref3 ref6 ref5 |
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| Snippet | The authors study fault-tolerant redundant structures for maintaining reliable arrays. In particular, they assume that the desired array (application graph) is... In this paper, we study fault-tolerant redundant structures for maintaining reliable arrays. In particular, we assume the desired array (application graph) is... |
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| SubjectTerms | Aerospace electronics Applied sciences Computer architecture Computer science Computer science; control theory; systems Computer systems and distributed systems. User interface Exact sciences and technology Fault tolerance Maintenance Runtime Signal processing algorithms Software Switches Systolic arrays Throughput |
| Title | Reconfigurability and reliability of systolic/wavefront arrays |
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