Talk:Accounting method (computer science)
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hi every body,
Can any one explain the accounting method with a diagram .
Does it work for other than constant amortized time? edit
It says in the article "is most naturally suited for proving a O(1) bound", but I do not really understand this sentence. Is it "naturally suited" (and only suited) for this? Or is proving O(1) what it is most suitable for, while it is applicable but less "suitable" for proving other running times?
If it does work for proving other amortised running times, e.g. log n, then it would be really nice with a link to a demonstration this use.
dynamic array example edit
"Inserting element m + 1 requires reallocation of the table. Creating the new table on line 3 is free (for now). The loop on line 4 requires m elementary insertions, for a cost of m. Including the insertion on the last line, the total cost for this operation is m + 1. After this operation, the pool therefore has 2m + 3 - (m + 1) = m + 2."
Explain that you add the 3 to 2m - (m+1) as payment for the last insertion. —Preceding unsigned comment added by 79.229.210.164 (talk) 11:38, 28 August 2010 (UTC)
Best bound O(n2) ? No, it is O(2×n) ! edit
The text says at Accounting method (computer science)#Table expansion:
- "Without amortized analysis, the best bound we can show for n insert operations is O(n2) — this is due to the loop at line 4 that performs num(T) elementary insertions."
But I count unrolling "the loop at line 4":
| Effective | Repeated | New | Together |
|---|---|---|---|
| 1 | 0 | 1 | 1 |
| 2 | 1 | 1 | 3 |
| 4 | 2 | 1+1 | 7 |
| 8 | 4 | 1+1+1+1 | 15 |
So, if n=2k there are n=2k+1–1 = 2×n–1 insertions which is O(2×n), and not O(n2). Pls help me calculating! --Nomen4Omen (talk) 11:02, 11 December 2018 (UTC)
"Accounting method" listed at Redirects for discussion edit
An editor has identified a potential problem with the redirect Accounting method and has thus listed it for discussion. This discussion will occur at Wikipedia:Redirects for discussion/Log/2022 November 15#Accounting method until a consensus is reached, and readers of this page are welcome to contribute to the discussion. GeoffreyT2000 (talk) 02:56, 15 November 2022 (UTC)