Abstract:In this article, we study bicriterion Pareto‐scheduling on a single machine of equal‐length jobs, where one of the criteria is the total weighted late work. Motivated by two Pareto‐scheduling open problems where one criterion is the total (weighted) late work and the other criterion is the weighted number of tardy jobs, we show that 12 constrained scheduling problems unaddressed in the literature are binary ‐hard, implying that the Pareto‐scheduling versions of these problems are also binary ‐hard. Moreover, w… Show more
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