An exact algorithm for the bi-objective timing problem - Archive ouverte HAL
Journal Articles Optimization Letters Year : 2018

An exact algorithm for the bi-objective timing problem

Abstract

The timing problem in the bi-objective just-in-time single-machine job-shop scheduling problem (JiT-JSP) is the task to schedule N jobs whose order is fixed, with each job incurring a linear earliness penalty for finishing ahead of its due date and a linear tardiness penalty for finishing after its due date. The goal is to minimize the earliness and tardiness simultaneously. We propose an exact greedy algorithm that finds the entire Pareto front in O(N2) time. This algorithm is asymptotically optimal.
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hal-01716581 , version 1 (23-11-2022)

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Sophie Jacquin, Fanny Dufossé, Laetitia Jourdan. An exact algorithm for the bi-objective timing problem. Optimization Letters, 2018, 12 (4), pp.903-914. ⟨10.1007/s11590-018-1237-y⟩. ⟨hal-01716581⟩
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