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A locally optimal insertion heuristic for a one-machine scheduling problem. (English) Zbl 0716.90054
Summary: We consider a one-machine scheduling problem with release dates and the minimization of the weighted number of late jobs. This problem is NP- hard. We develop a one-pass algorithm (insertion heuristic) which yields a locally optimal solution in a special left shift neighbourhood graph. Finally we investigated in which of the known polynomially solvable special cases our heuristic yields an optimal solution.
MSC:
90B35Scheduling theory, deterministic
90-08Computational methods (optimization)