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A concise survey of scheduling with time-dependent processing times. (English) Zbl 1030.90023
Summary: We consider a class of machine scheduling problems in which the processing time of a task is dependent on its starting time in a schedule. On reviewing the literature on this topic, we provide a framework to illustrate how models for this class of problems have been generalized from the classical scheduling theory. A complexity boundary is presented for each model and related existing results are consolidated. We also introduce some enumerative solution algorithms and heuristics and analyze their performance. Finally, we suggest a few interesting areas for future research.
MSC:
90B35Scheduling theory, deterministic
90C60Abstract computational complexity for mathematical programming problems
90C59Approximation methods and heuristics
90-02Research monographs (optimization)