Approximation of the parallel machine scheduling problem with additional unit resources
نویسندگان
چکیده
منابع مشابه
Approximation of the parallel machine scheduling problem with additional unit resources
We consider the problem of minimizing the makespan of a schedule on m parallel machines of n jobs, where each job requires exactly one of s additional unit resources. This problem collapses to P ||Cmax if every job requires a different resource. It is therefore NP-hard even if we fix the number of machines to 2 and strongly NP-hard in general. Although very basic, its approximability is not kno...
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We consider the problem of scheduling with renewable speed-up resources. Given m identical machines, n jobs and c different discrete resources, the task is to schedule each job non-preemptively onto one of the machines so as to minimize the makespan. In our problem, a job has its original processing time, which could be reduced by utilizing one of the resources. As resources are different, the ...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2016
ISSN: 0166-218X
DOI: 10.1016/j.dam.2016.07.003