Considers the average operation time on possible sequences of operations.
Sources:
https://en.wikipedia.org/wiki/Amortized_analysis
[cormen09][] chapter 17 "Amortized Analysis".
Famous examples:
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array backed heap. Worst case insert and delete is linear as it may require a copy operation to increase capacity.
But those operations can only happen exponentially little if we only do additions, so the amortized is still constant.
Note how the operation choice matters: if we allow insertion and deletion, then a sequence of insertion / deletion at the discontinuity could still have linear time.
-
https://en.wikipedia.org/wiki/Fibonacci_heap analysis, which is famously
O(1)amortized, which is stronger than theO(1)average of binary heaps.