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Optimization Letters

, Volume 8, Issue 3, pp 971–982 | Cite as

Single machine scheduling with sum-of-logarithm-processing-times based and position based learning effects

  • Ji-Bo Wang
  • Jian-Jun Wang
Original Paper

Abstract

In this paper we consider the single machine scheduling problems with sum-of-logarithm-processing-times based and position based learning effects, i.e., the actual job processing time of a job is a function of the sum of the logarithms of the processing times of the jobs already processed and its position in a sequence. The logarithm function is used to model the phenomenon that learning as a human activity is subject to the law of diminishing return. We show that even with the introduction of the proposed model to job processing times, several single machine problems remain polynomially solvable.

Keywords

Scheduling Single machine Learning effect 

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Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  1. 1.School of ScienceShenyang Aerospace UniversityShenyangChina
  2. 2.Faculty of Management and EconomicsDalian University of TechnologyDalianChina

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