Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/20669
Title: Single machine scheduling with general time-dependent deterioration, position-dependent learning and past-sequence-dependent setup times
Authors: Huang, X
Li, G
Huo, Y
Ji, P 
Keywords: Deteriorating jobs
Learning effect
Scheduling
Setup times
Single machine
Issue Date: 2012
Publisher: Springer
Source: Optimization letters, 2012, p. 1-12 How to cite?
Journal: Optimization letters 
Abstract: The paper deals with single machine scheduling problems with setup time considerations where the actual processing time of a job is not only a non-decreasing function of the total normal processing times of the jobs already processed, but also a non-increasing function of the job's position in the sequence. The setup times are proportional to the length of the already processed jobs, i.e., the setup times are past-sequence-dependent (p-s-d). We consider the following objective functions: the makespan, the total completion time, the sum of the δth (δ ≥ 0) power of job completion times, the total weighted completion time and the maximum lateness. We show that the makespan minimization problem, the total completion time minimization problem and the sum of the δ th (δ ≥ 0) power of job completion times minimization problem can be solved by the smallest (normal) processing time first (SPT) rule, respectively. We also show that the total weighted completion time minimization problem and the maximum lateness minimization problem can be solved in polynomial time under certain conditions.
URI: http://hdl.handle.net/10397/20669
ISSN: 1862-4472
EISSN: 1862-4480
DOI: 10.1007/s11590-012-0522-4
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