Minimizing maximum promptness and maximum lateness on a single machine
Mathematics of Operations Research
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
A better algorithm for sequencing with release and delivery times on identical machines
Journal of Algorithms
Parallel machine problems with equal processing times: a survey
Journal of Scheduling
Branch less, cut more and minimize the number of late equal-length jobs on identical machines
Theoretical Computer Science
Hi-index | 5.23 |
We consider the problem of scheduling jobs with given release times and due dates on a single machine to minimize the maximum job lateness. It is NP-hard and remains such if the maximal job processing time is unrestricted and there is no constant bound on the difference between any job release times. We give a polynomial-time solution of the version in which the maximal job processing time and the differences between the job release times are bounded by a constant, which are restrictions that naturally arise in practice. Our algorithm reveals the inherent structure of the problem and also gives conditions when it is able to find an optimal solution unconditionally.