Scheduling with step-improving processing times
نویسندگان
چکیده
منابع مشابه
Scheduling with step-improving processing times
We consider the scheduling problem of minimizing the makespan on a single machine with step-improving job processing times around a common critical date. For this problem we give an NP-hardness proof, a fast pseudo-polynomial time algorithm, an FPTAS, and an on-line algorithm with best possible competitive ratio.
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We consider several parallel machine scheduling settings with the objective to minimize the schedule makespan. The most general of these settings is unrelated parallel machine scheduling. We assume that, in addition to its machine dependence, the processing time of any job is dependent on the usage of a scarce renewable resource. A given amount of that resource, e.g. workers, can be distributed...
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Whereas the overwhelming majority of scheduling problems appears to be NP-hard, models with equal processing time jobs form a remarkable case which is still open for most problems but it intuitively looks polynomially solvable. The basic scheduling problem we are dealing with is the following. There are n jobs, each requiring an identical execution time p. There are associated a release time rj...
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ژورنال
عنوان ژورنال: Operations Research Letters
سال: 2006
ISSN: 0167-6377
DOI: 10.1016/j.orl.2005.03.002