On complexity of minimizing weighted number of late jobs in unit time open shops. (English) Zbl 0872.90047
Summary: We show that the problem of minimizing the weighted number of late jobs in open shop with given release dates and unit time operations is strongly \({\mathcal N}{\mathcal P}\)-hard. The complexity status of this problem was unknown.
MSC:
90B35 | Deterministic scheduling theory in operations research |
90C60 | Abstract computational complexity for mathematical programming problems |
Keywords:
weighted number of late jobs; open shop; release dates; unit time operations; \({\mathcal N}{\mathcal P}\)-hardReferences:
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