Györgyi, Péter and Kis, Tamás
(2015)
Approximation schemes for parallel machine scheduling
with non-renewable resources.
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH.
ISSN 0377-2217
(Submitted)
Abstract
In this paper the approximability of parallel machine scheduling problems with
resource consuming jobs is studied. In these problems, in addition to a parallel
machine environment, there are non-renewable resources, like raw materials,
energy, or money, consumed by the jobs. Each resource has an initial stock,
and some additional supplies at a-priori known moments of times and in known
quantities. The schedules must respect the resource constraints as well. The
objective is the minimum schedule length or makespan. Polynomial time approximation
schemes are provided under various assumptions, and it is shown
that the problem becomes APX-hard if the number of machines is part of the
input even if there are only two resources.
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Approximation schemes for parallel machine scheduling
with non-renewable resources. (deposited 09 Sep 2015 08:48)
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