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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > LOAD BALANCING:
Reports tagged with Load Balancing:
TR00-001 | 14th January 2000
Piotr Berman, Moses Charikar, Marek Karpinski

On-Line Load Balancing for Related Machines

We consider the problem of scheduling permanent jobs on related machines
in an on-line fashion. We design a new algorithm that achieves the
competitive ratio of $3+\sqrt{8}\approx 5.828$ for the deterministic
version, and $3.31/\ln 2.155 \approx 4.311$ for its randomized variant,
improving the previous competitive ratios ... more >>>


TR25-064 | 20th May 2025
Michael Jaber, Vinayak Kumar, David Zuckerman

Linear Hashing Is Optimal

We prove that hashing $n$ balls into $n$ bins via a random matrix over $GF(2)$ yields expected maximum load $O(\log n / \log \log n)$. This matches the expected maximum load of a fully random function and resolves an open question posed by Alon, Dietzfelbinger, Miltersen, Petrank, and Tardos (STOC ... more >>>




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