A note on due-date assignment and single machine scheduling with a learning/aging effect
Pei-Chann Chang,
Shih-Hsin Chen and
V. Mani
International Journal of Production Economics, 2009, vol. 117, issue 1, 142-149
Abstract:
This paper considers the learning/aging effect in an n job single machine scheduling problem with common due date. The objective is to determine the optimal common due date and the optimal sequence of jobs that minimizes a cost function in the presence of learning/aging effect. The cost function depends on the individual job earliness and tardiness values; i.e., . This is a well-known problem when the learning/aging effect is not considered and it is shown in earlier studies that there are more than one optimal sequence and optimal common due dates. It is shown in earlier studies that there are 2r-1 optimal sequences to this problem if n is odd, and 2r optimal sequences if n is even. The value of r is (n+1)/2 if n is odd, and the value of r is n/2 if n is even. In this paper, we derive two bounds B[alpha] and for the learning index [alpha]. We show that when B[alpha]
Keywords: Scheduling; Single-machine; Learning; effect; Due-date; assignment (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (8)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:proeco:v:117:y:2009:i:1:p:142-149
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