Baihan Lin, Guillermo Cecchi, et al.
IJCAI 2023
We study the scheduling situation where n tasks, subjected to release dates and due dates, have to be scheduled on m parallel processors. We show that, when tasks have unit processing times and either require 1 or m processors simultaneously, the minimum maximal tardiness can be computed in polynomial time. Two algorithms are described. The first one is based on a linear programming formulation of the problem while the second one is a combinatorial algorithm. The complexity status of this "tall/small" task scheduling problem P|r i,p i = 1, size i ∈ {1, m}|T max was unknown before, even for two processors.
Baihan Lin, Guillermo Cecchi, et al.
IJCAI 2023
Yale Song, Zhen Wen, et al.
IJCAI 2013
Pavel Klavík, A. Cristiano I. Malossi, et al.
Philos. Trans. R. Soc. A
Joseph Y. Halpern
aaai 1996