Scheduling with assignable due dates, two competing agents and late work related criteria

This paper investigates several scheduling problems on a single machine that exhibit three key features: (i) assignable due dates are considered, meaning that a predefined set of due dates is provided, and these due dates can be assigned to the jobs independently and arbitrarily; (ii) two competing...

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Vydané v:Computers & operations research Ročník 182; s. 107144
Hlavní autori: Li, Shi-Sheng, Sang, Yao-Wen, Chen, Ren-Xia, Sterna, Malgorzata, Kis, Tamas
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Elsevier Ltd 01.10.2025
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ISSN:0305-0548
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Abstract This paper investigates several scheduling problems on a single machine that exhibit three key features: (i) assignable due dates are considered, meaning that a predefined set of due dates is provided, and these due dates can be assigned to the jobs independently and arbitrarily; (ii) two competing agents are involved, with jobs divided into two disjoint sets, each owned by one agent; and (iii) each agent’s objective is to minimize a specific late work-related criterion. Specifically, the goal is to determine a due date assignment and a feasible schedule that minimizes the weighted sum of the selected scheduling criteria for both agents. For the first time, we integrate two-agent scheduling, assignable due dates, and late work-related criteria. We develop pseudo-polynomial-time dynamic programming algorithms to address problems where one agent’s criterion is the total late work, while the other agent’s criterion is either the total late work, total tardiness, or weighted number of tardy jobs. Moreover, we propose polynomial-time algorithms to tackle various special cases of these related problems. •Scheduling with assignable due date and two competing agents is studied.•The weighted sum of the late-work-related criteria of the two agents is minimized.•Pseudo-polynomial-time dynamic programming (DP) algorithms are proposed.•Extensive numerical experiments are conducted to test the DP algorithms.•Polynomial-time algorithms are designed to tackle various special cases.
AbstractList This paper investigates several scheduling problems on a single machine that exhibit three key features: (i) assignable due dates are considered, meaning that a predefined set of due dates is provided, and these due dates can be assigned to the jobs independently and arbitrarily; (ii) two competing agents are involved, with jobs divided into two disjoint sets, each owned by one agent; and (iii) each agent’s objective is to minimize a specific late work-related criterion. Specifically, the goal is to determine a due date assignment and a feasible schedule that minimizes the weighted sum of the selected scheduling criteria for both agents. For the first time, we integrate two-agent scheduling, assignable due dates, and late work-related criteria. We develop pseudo-polynomial-time dynamic programming algorithms to address problems where one agent’s criterion is the total late work, while the other agent’s criterion is either the total late work, total tardiness, or weighted number of tardy jobs. Moreover, we propose polynomial-time algorithms to tackle various special cases of these related problems. •Scheduling with assignable due date and two competing agents is studied.•The weighted sum of the late-work-related criteria of the two agents is minimized.•Pseudo-polynomial-time dynamic programming (DP) algorithms are proposed.•Extensive numerical experiments are conducted to test the DP algorithms.•Polynomial-time algorithms are designed to tackle various special cases.
ArticleNumber 107144
Author Sang, Yao-Wen
Chen, Ren-Xia
Li, Shi-Sheng
Sterna, Malgorzata
Kis, Tamas
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Keywords Two-agent
Late work
Scheduling
Assignable due dates
Single machine
Language English
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Snippet This paper investigates several scheduling problems on a single machine that exhibit three key features: (i) assignable due dates are considered, meaning that...
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StartPage 107144
SubjectTerms Assignable due dates
Late work
Scheduling
Single machine
Two-agent
Title Scheduling with assignable due dates, two competing agents and late work related criteria
URI https://dx.doi.org/10.1016/j.cor.2025.107144
Volume 182
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