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- W2015335815 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., Sigma(n)(j=1) {E-[j] + T-[j]}. 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 2(r-1) optimal sequences to this problem if n is odd, and 2(r) 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 B-alpha* for the learning index alpha. We show that when B-alpha A(alpha)* the optimal sequence is obtained by arranging the jobs in LPT order. We also present a numerical example for ease of understanding. (C) 2008 Elsevier B.V. All rights reserved" @default.
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- W2015335815 date "2009-01-01" @default.
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- W2015335815 title "A note on due-date assignment and single machine scheduling with a learning/aging effect" @default.
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- W2015335815 doi "https://doi.org/10.1016/j.ijpe.2008.10.004" @default.
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