Single and Parallel Machine Scheduling with Variable Release Dates
Abstract
In this paper we study a simple extension of the total weighted flowtime minimization problem for single and identical parallel machines. While the standard problem simply defines a set of jobs with their processing times and weights and assumes that all jobs have release date 0 and have no deadline, we assume that the release date of each job is a decision variable that is only constrained by a single global latest arrival deadline. To our knowledge, this simple yet practically highly relevant extension has never been studied. Our main contribution is that we show the NP- completeness of the problem even for the single machine case and provide an exhaustive empirical study of different typical approaches including genetic algorithms, tree search, and constraint programming.
Keywords
Cite
@article{arxiv.2103.01785,
title = {Single and Parallel Machine Scheduling with Variable Release Dates},
author = {Felix Mohr and Gonzalo Mejía and Francisco Yuraszeck},
journal= {arXiv preprint arXiv:2103.01785},
year = {2021}
}