Reproduce “Tight Analysis of Randomized Truthful Scheduling: An $(m+1)/2$ Lower Bound” on OpenResearch

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About this paper

Wenqian Wang, Chenyang Xu, Yuhao Zhang

The authors prove that truthful-in-expectation mechanisms for makespan scheduling on m unrelated machines cannot achieve approximation ratios below (m+1)/2. They convert truthfulness into a limit on how allocations can depend on groups of jobs, then use a star-shaped hard instance to show that this limit forces a large expected makespan. The result is a lower bound; the known upper bound is (m+5)/2.

Summary by alphaXiv.

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