摘要：We study the scheduling problem on unrelated machines in the mechanism design setting. This problem was proposed and studied in the seminal paper (Nisan and Ronen 1999), where they gave a $1.75$-approximation randomized truthful mechanism for the case of two machines. We improve this result by a $1.6737$-approximation randomized truthful mechanism. We also generalize our result to a $0.8368m$-approximation mechanism for task scheduling with $m$ machines, which improve the previous best upper bound of $0.875m( Mu'alem and Schapira 2007)
