Journal
MATHEMATICAL AND COMPUTER MODELLING
Volume 41, Issue 8-9, Pages 883-886Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mcm.2004.09.004
Keywords
scheduling; single-machine; flow-time; deterioration
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In scheduling environments with deterioration, jobs processed later in the sequence require more time. In this note, we study a scheduling problem in which the processing time of a job is an increasing function of its position in the sequence (rather than its starting time, as assumed in previous studies). We study a flow-time minimization problem on a single machine, with exponential deterioration function. We show that an optimal schedule is V-shaped with respect to job processing times. (c) 2005 Elsevier Ltd. All rights reserved.
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