A note on single-machine scheduling with job-dependent learning effects

Christos Koulamas

European Journal of Operational Research, 2010, vol. 207, issue 2, 1142-1143

Abstract: Mosheiov and Sidney (2003) showed that the makespan minimization problem with job-dependent learning effects can be formulated as an assignment problem and solved in O(n3) time. We show that this problem can be solved in O(nlog n) time by sequencing the jobs according to the shortest processing time (SPT) order if we utilize the observation that the job-dependent learning rates are correlated with the level of sophistication of the jobs and assume that these rates are bounded from below. The optimality of the SPT sequence is also preserved when the job-dependent learning rates are inversely correlated with the level of sophistication of the jobs and bounded from above.

Keywords: Scheduling; Single-machine; Learning (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:207:y:2010:i:2:p:1142-1143

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