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This paper constitutes a step forward in resource-constrained scheduling theory. We introduce anchecker for energetic reasoning (ER), whereis Ackermann's inverse function. Until now, after more than 20 years of research, the best technique, recently obtained by Ouellet and Quimper, was in. We identify mathematical properties that allow the number of useful intervals to be reduced. We also discuss the interest of integrating this checker into industrial solvers developed for addressing optimisation problems.

A faster checker of the energetic reasoning for the cumulative scheduling problem