Abstract.
In a single-machine problem with time-lags a set of jobs has to be processed on a single machine in such a way that certain timing restrictions between the finishing and starting times of the jobs are satisfied and a given objective function is minimized. We consider the case of positive finish-start time-lags \(l_{ij}\) which mean that between the finishing time of job i and the starting time of job j the minimal distance \(l_{ij}\) has to be respected. New complexity results are derived for single-machine problems with constant positive time-lags \(l_{ij}=l\) which also lead to new results for flow-shop problems with unit processing times and job precedences.
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Received: May 13, 1998; revised November 23, 1998
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Brucker, P., Knust, S. Complexity Results for Single-Machine Problems with Positive Finish-Start Time-Lags. Computing 63, 299–316 (1999). https://doi.org/10.1007/s006070050036
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DOI: https://doi.org/10.1007/s006070050036