Suppose that disk hardware allows us to choose the size of a disk page arbitrarily, but that

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Suppose that disk hardware allows us to choose the size of a disk page arbitrarily, but that the time it takes to read the disk page is a + bt, where a and b are specified constants and t is the minimum degree for a B-tree using pages of the selected size. Describe how to choose t so as to minimize (approximately) the B-tree search time. Suggest an optimal value of t for the case in which a = 5 milliseconds and b = 10 microseconds.

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Introduction to Algorithms

ISBN: 978-0262033848

3rd edition

Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest

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