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Single machine scheduling with resource dependent release times and processing times. (English) Zbl 1065.90045
Summary: We consider the single machine scheduling problem with resource dependent release times and processing times, in which both the release times and processing times are strictly linear decreasing functions of the amount of resources consumed. The objective is to minimize the makespan plus the total resource consumption costs. We propose a heuristic algorithm for the general problem by utilizing some derived optimal properties and analyze its performance bound. For some special cases, we propose another heuristic algorithm that achieves a tighter performance bound.
MSC:
90B35Scheduling theory, deterministic
90C59Approximation methods and heuristics