Concetti Chiave
Algorithms with Mac predictions can improve facility location mechanisms' performance.
Sintesi
The content discusses the use of Mac predictions in facility location mechanism design. It explores the k-facility location problem, robustness under corruptions, and strategyproof mechanisms. The study focuses on the 1-median's robustness, balanced k-medians, and second facility location problems. Various models of prediction accuracy are compared, and deterministic mechanisms are proposed for single and balanced k-facility locations.
Statistiche
δ ∈ [0, 0.5)
ε = 0
min{1 + 4δ / (1 - 2δ), √d}
O(n) approximation ratio for Min-Bounding-Box mechanism
Constant (k-dependent) approximation ratio of at most 1 + 4k / (b - 2 - 2k)