Minimizing the Earliness and Tardiness Cost of a Sequence of Tasks on a Single Machine

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Minimizing the Earliness and Tardiness Cost of a Sequence of Tasks on a Single Machine

Assume that n tasks must be processed by one machine in a fixed sequence. The processing time, the preferred starting time and the earliness and tardiness costs per time unit are known for each task. The problem is to allocate each task a starting time such that the total cost incurred by the early and tardy tasks is minimum. Garey et al. have proposed a nice O(n log n) algorithm for the specia...

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In this research, a single batch processing machine scheduling problem with minimization of total earliness and tardiness as the objective function is investigated.We first formulate the problem as a mixed integer linear programming model. Since the research problem is shown to be NP-hard, an improved memetic algorithmis proposed to efficiently solve the problem. To further enhance the memetic ...

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ژورنال

عنوان ژورنال: RAIRO - Operations Research

سال: 2001

ISSN: 0399-0559,1290-3868

DOI: 10.1051/ro:2001110