Single-machine scheduling with release times, deadlines, setup times, and rejection
نویسندگان
چکیده
Abstract Single-machine scheduling where jobs have a penalty for being late or rejected altogether is an important (sub)problem in manufacturing, logistics, and satellite scheduling. It known to be NP-hard the strong sense, there no polynomial-time algorithm that can guarantee constant-factor approximation (unless P=NP). We provide exact fixed-parameter tractable slack maximum number of time windows overlapping at any point time, i.e., width. This has runtime exponential these parameters, but quadratic jobs, even when modeling sequence-dependent setup times. further fully-polynomial scheme (FPTAS) with only this width as parameter, having bound cubic. Finally, we propose neighbourhood heuristic similar Balas-Simonetti neighbourhood. All algorithms use efficient representation state space inspired by decision diagrams, partial solutions are provably dominated excluded from consideration. Experimental evidence shows method significantly outperforms state-of-the-art on instances smaller than one third finds optimal previously unsolved instances. The FPTAS competitive heuristics smaller, most other quality.
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ژورنال
عنوان ژورنال: European Journal of Operational Research
سال: 2021
ISSN: ['1872-6860', '0377-2217']
DOI: https://doi.org/10.1016/j.ejor.2020.09.042