‘Strong’-‘Weak’ Precedence in Scheduling: Extended Order Implications
نویسندگان
چکیده
We examine computational complexity implications for scheduling problems with job precedence relations with respect to strong precedence versus weak precedence. We propose a consistent definition of strong precedence for chains, trees, and series parallel graphs. Using modular decomposition for partially ordered sets (posets), we restate and extend past complexity results for chains and trees as summarized in [5]. Moreover, for series parallel graphs we establish new computational complexity results for strong precedence constraints for single and multiple machine problems.
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