5.1 the Power of Two Choices
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چکیده
Suppose now that instead of placing each ball in a single random bin, we choose d random bins for each ball, place it in the one that currently has fewest balls, and proceed in this manner sequentially for each ball. Clearly if d = n the maximum load will be optimal: dm/ne. But this requires global knowledge of the state of all bins. Today we will show that with d = 2 choices, the maximum load is a.a.s. at most
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