The Burroughs Fmp Machine

Cover The Burroughs Fmp Machine
The Burroughs Fmp Machine
Jacob T Schwartz
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00 16K quadruplex . 60 . 95 1. 00 1. 00 This makes it plain that in the average case quadruplexing gives quite a good interconnection bandwidth, even for large numbers of processors.
Somewhat better results can be obtained by bringing together two pairs of data items, rather than simply two items, at each node, and nilling a data item only when more than two items at a given node wish to proceed to the same suc- cessor node. Again consider a random permutation, and let Xj^ be the fraction of it
...ems which are non-nil when the k-th bit of all permutation addresses n are being examined. Then the expected number of items that will become nil per group of 4 is 1 * probability that 3 non-nil items appear in the group ♦ probability that all 3 have the same destination -h2* probability that 4 non-nil items appear in the group ♦ probability that all 4 have the same destination 4-1* probability that 4 non-nil items appear in the group ♦ probabihty that 3 of 4 have the same destination As a rough approximation we assume that one item is nil independent of another and obtain the recurrence Xk+i=Xk--(x^l~XiJ + (~ + -)xi^)=Xk-^(x^-jxi*).

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