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Complexity Results for Single-Machine Problems with positive Finish-Start Time-Lags

机译:具有正完成开始时滞的单机问题的复杂性结果

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In a single-machine problem with time-lags a set of jobs hasto be processed on a single machine in such a way that certain timing restrictions between the finishing and starting times of the jobsare satisfied and a given objective function is minimized. We consider the case of positive finish-start time-lags lij which mean that between the finishing time of job i and the starting time of job jthe minimal distance lij has to be respected. New complexity resuits are derived for single-machine problems with constant positive time-lags lij=l which also leadtonew resuits for flow-shop problems with unit processing times and job precedences.
机译:在具有时滞的单机问题中,必须在单机上处理一组作业,这样才能满足作业的完成时间和开始时间之间的某些时序限制,并使给定的目标函数最小化。我们考虑正结束开始时滞lij的情况,这意味着在作业i的结束时间与作业j的开始时间之间必须考虑最小距离lij。对于具有恒定正时滞lij = l的单机问题,得出了新的复杂性解决方案,这也导致了对具有单位处理时间和作业优先级的流水车间问题的新解决方案。

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