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Zbl 0868.90063
Chu, Chengbin
A new class of scheduling criteria and their optimization. (English)
[J] RAIRO, Rech. Opér. 30, No.2, 171-189 (1996). ISSN 0399-0559

Summary: We define a new class of scheduling criteria called over-regular criteria. This class is a subclass of regular criteria. We analyze the properties of scheduling problems with over-regular criteria. In the literature, a lot of effort has been made to solve specific problems. Our properties, however, are applicable to several scheduling problems. Using these properties and additional specific ones, we propose a procedure to optimize an over-regular criterion in the single machine case: minimization of total tardiness with generalized due dates. This problem particularly arises in maintenance departments where maintained parts are interchangeable. Computational results about this procedure are also reported.

MSC 2000:: *90B35 Scheduling theory

Keywords: over-regular criteria; minimization of total tardiness; generalized due dates

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