Pareto-scheduling of two competing agents with total weighted tardiness being one criterion

IF 1 3区数学 Q3 MATHEMATICS, APPLIED

Discrete Applied Mathematics Pub Date : 2025-03-24 DOI:10.1016/j.dam.2025.03.026

Jinwen Sun , Rubing Chen , Qiulan Zhao

引用次数: 0

Abstract

We study the Pareto-scheduling of two competing agents on a single machine, in which the jobs of at least one agent have their own equal processing times. When the criterion of one agent is the total weighted tardiness and the criterion of the other agent is the total completion time, the total tardiness or the total weighted completion time, the exact complexities of these problems remain open as posed by Chen et al. (2022). In this paper, we design a unified algorithm for solving these problems. As consequences, we show that these problems are solvable either in polynomial time or in pseudo-polynomial time. Combining the known results in the literature, we determine the complexity classification of nine problems.

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来源期刊

Discrete Applied Mathematics 数学-应用数学

CiteScore

2.30

自引率

9.10%

发文量

422

审稿时长

4.5 months

期刊介绍： The aim of Discrete Applied Mathematics is to bring together research papers in different areas of algorithmic and applicable discrete mathematics as well as applications of combinatorial mathematics to informatics and various areas of science and technology. Contributions presented to the journal can be research papers, short notes, surveys, and possibly research problems. The "Communications" section will be devoted to the fastest possible publication of recent research results that are checked and recommended for publication by a member of the Editorial Board. The journal will also publish a limited number of book announcements as well as proceedings of conferences. These proceedings will be fully refereed and adhere to the normal standards of the journal. Potential authors are advised to view the journal and the open calls-for-papers of special issues before submitting their manuscripts. Only high-quality, original work that is within the scope of the journal or the targeted special issue will be considered.