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Authors: Natalia Jorquera-Bravo 1 ; 2 and Óscar C. Vásquez 1 ; 2

Affiliations: 1 University of Santiago of Chile (USACH), Faculty of Engineering, Department of Industrial Engineering, Santiago, Chile ; 2 University of Santiago of Chile (USACH), Faculty of Engineering, Program for the Development of Sustainable Production Systems (PDSPS), Santiago, Chile

Keyword(s): Single Machine Scheduling Problem, Local Dominance Properties, Search Space, Computational Complexity.

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.

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Paper citation in several formats:
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 - ICORES; ISBN 978-989-758-548-7; ISSN 2184-4372, SciTePress, pages 208-213. DOI: 10.5220/0010871600003117

@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 - ICORES},
year={2022},
pages={208-213},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0010871600003117},
isbn={978-989-758-548-7},
issn={2184-4372},
}

TY - CONF

JO - Proceedings of the 11th International Conference on Operations Research and Enterprise Systems - ICORES
TI - On the Local Dominance Properties in Single Machine Scheduling Problems
SN - 978-989-758-548-7
IS - 2184-4372
AU - Jorquera-Bravo, N.
AU - Vásquez, Ó.
PY - 2022
SP - 208
EP - 213
DO - 10.5220/0010871600003117
PB - SciTePress

- Science and Technology Publications, Lda.
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