Abstract
The coupled tasks scheduling problem was originally introduced for modeling complex radar devices. It is still used for controlling such devices and applied in similar applications. This paper considers a problem of coupled tasks scheduling on a single processor, under the assumptions that all processing times are equal to 1, the gap has exact integer length L and the precedence constraints are strict. We prove that the general problem, when L is part of the input and the precedence constraints graph is a general graph, is NP-hard in the strong sense. We also show that the special case when L=2 and the precedence constraints graph is an in-tree or an out-tree, can be solved in O(n) time.
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Blazewicz, J., Ecker, K., Kis, T. et al. Scheduling of coupled tasks with unit processing times. J Sched 13, 453–461 (2010). https://doi.org/10.1007/s10951-010-0167-z
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DOI: https://doi.org/10.1007/s10951-010-0167-z