Estimating The Makespan of The Two-Valued Restricted Assignment Problem
We consider a special case of the scheduling problem on unrelated machines,namely the Restricted Assignment Problem with two different processing times.We show that the configuration LP has an integrality gap of at most~$\frac{5}{3} + \frac{1}{156} \approx 1.6731$ for this problem. This allows us to estimate the optimal makespan within a factor of~$\frac{5}{3} + \frac{1}{156}$,improving upon the previously best known estimation algorithm with ratio~$\frac{11}{6} \approx \numprint{1.833}$ due to Chakrabarty, Khanna, and Li \cite{CKL15}.
Preview
Rights
Use and reproduction:
No license. The provisions of the German Copyright Act (UrhG) apply.
Please note that individual components of the publication may be subject to other licensing or copyright conditions.