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Exact approaches to late work scheduling on unrelated machines

Liu Xinbo, Wang Wen, Chen Xin, Sterna Malgorzata, Blazewicz Jacek

International Journal of Applied Mathematics and Computer Science

2023

Vol. 33, no. 2

285--295

We consider the scheduling problem on unrelated parallel machines in order to minimize the total late work. Since the problem is NP-hard, we propose a mathematical model and two dedicated exact approaches for solving it, based on the branching and bounding strategy and on enumerating combined with a dynamic programming algorithm. The time efficiencies of all three approaches are evaluated through computational experiments.