20th International Conference on VLSI Design Held Jointly With 6th International Conference on Embedded Systems (VLSID'07) 2007
DOI: 10.1109/vlsid.2007.24
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A Reduced Complexity Algorithm for Minimizing N-Detect Tests

Abstract: -We give a new recursive rounding linear programming (LP) solution to the problem of N -detect test minimzation. This is a polynomialtime solution that closely approximates the exact but NP-hard integer linear programming (ILP) solution. In ILP, a test is represented by a [0, 1] integer variable and the sum of those variables is minimized. Constraints ensure that each fault has at least N tests with non-zero variables. Traditionally, the problem has been transformed to less complex LP by treating the variables… Show more

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Cited by 12 publications
(6 citation statements)
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References 21 publications
(39 reference statements)
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“…In general, for cases in which the ILP complexity is high, reduced-complexity ILP variations can be used [15]. Table 9 gives the results and statistics for fault dictionaries constructed from the complete diagnostic test sets.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…In general, for cases in which the ILP complexity is high, reduced-complexity ILP variations can be used [15]. Table 9 gives the results and statistics for fault dictionaries constructed from the complete diagnostic test sets.…”
Section: Resultsmentioning
confidence: 99%
“…Tool developers using these algorithms should devise appropriate heuristics. One possibility is to use a relaxed ILP in which a lower-complexity linear program (LP) provides an approximate solution [10,15]. The second issue is that of the ability to diagnose real defects that may not conform to the modeled faults.…”
Section: Resultsmentioning
confidence: 99%
“…In such a case, the problem can be solved by the previously proposed recursive-LP algorithm [4], which guarantees a solution. We believe that, whenever a solution is possible, the hybrid LP-ILP will be faster than the recursive-LP.…”
Section: Hybrid Lp-ilp Methodsmentioning
confidence: 99%
“…The worst-case complexity of LP is polynomial-time while that of ILP is exponential. We have devised an "hybrid LP-ILP" method, outlined in Section 5, which is a variation of the published recursive-LP method of test minimization [4].…”
Section: Combined Ilp Modelmentioning
confidence: 99%
“…But the number of test patterns also grows with increasing N , which leads to longer test time and/or higher cost. Methods have been proposed [8,9,14] for compaction of N -detect vector set. These require computational effort.…”
Section: Background and Motivationmentioning
confidence: 99%