On the Local Dominance Properties in Single Machine Scheduling Problems

Natalia Jorquera-Bravo, Natalia Jorquera-Bravo, Óscar C. Vásquez, Óscar C. Vásquez

2022

Abstract

We consider a non-preemptive single machine scheduling problem for a non-negative penalty function f . For this problem every job j has a priority weight wj and a processing time pj , and the goal is to find an order on the given jobs that minimizes ∑wj f(C j), where Cj is the completion time of job j. This paper explores the local dominance properties in this problem, which provide a powerful theoretical tool to better describe the structure of optimal solutions by identifying rules that at least one optimal solution must satisfy, reducing the search space from n! to n!/3^{n/3} schedules and providing insights to show the computational complexity status for problem with a convex penalty from a general framework, such as the problem of minimizing the sum of weighted mean squared deviation of the completion times with respect to a common due date and jobs with arbitrary weights.

Paper Citation

in Harvard Style

Jorquera-Bravo N. and Vásquez Ó. (2022). On the Local Dominance Properties in Single Machine Scheduling Problems. In Proceedings of the 11th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES, ISBN 978-989-758-548-7, pages 208-213. DOI: 10.5220/0010871600003117

in Bibtex Style

@conference{icores22,
author={Natalia Jorquera-Bravo and Óscar C. Vásquez},
title={On the Local Dominance Properties in Single Machine Scheduling Problems},
booktitle={Proceedings of the 11th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,},
year={2022},
pages={208-213},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0010871600003117},
isbn={978-989-758-548-7},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 11th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,
TI - On the Local Dominance Properties in Single Machine Scheduling Problems
SN - 978-989-758-548-7
AU - Jorquera-Bravo N.
AU - Vásquez Ó.
PY - 2022
SP - 208
EP - 213
DO - 10.5220/0010871600003117