A polynomial-time algorithm for a special case of minimizing the lateness on a single machine
نویسنده
چکیده
We study the problem of scheduling jobs with release times and due-dates on a single machine with the objective to minimize the maximal job lateness. This problem is strongly NP-hard, however it is known to be polynomially solvable for the case when the processing times of some jobs are restricted to either p or 2p, for some integer p. We present a polynomial-time algorithm when job processing times are less restricted; in particular, when they are mutually divisible. Our algorithm works for the case when for any pair of jobs, if one is longer than another then the due-date of the former job is no larger than that of the latter one Key–Words: algorithm, scheduling, single processor, release date, due date, lateness
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