Jackson's rule for single-machine scheduling: making a good heuristic better
Mathematics of Operations Research
Discrete Applied Mathematics
Algorithmic problems in power management
ACM SIGACT News
On single-machine scheduling without intermediate delays
Discrete Applied Mathematics
Exact resolution of the one-machine sequencing problem with no machine idle time
Computers and Industrial Engineering
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This paper is the first attempt to successfully design efficient approximation algorithms for the single-machine maximum lateness minimization problem when jobs have different release dates and tails (or delivery times) under the no idle time assumption (i.e., the schedule cannot contain any idle time between two consecutive jobs on the machine). Our work is motivated by interesting industrial applications to the production area (Chretienne (2008) [3]). Our analysis shows that modifications of the classical algorithms of Potts and Schrage can lead to the same worst-case performance ratios obtained for the relaxed problem without the no idle time constraint. Then, we extend the result developed by Mastrolilli (2003) [13] for such a relaxed problem and we propose a polynomial time approximation scheme with efficient time complexity.