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A new mathematical model for single machine scheduling with learning effect: continuous approach

Author

Listed:
  • Seyed Hojat Pakzad Moghadam
  • Hassan Mina
  • Seyed Hossein Iranmanesh
  • Ali Keyvandarian

Abstract

In the literature of scheduling, many studies have been devoted to schedule single machine activities. Despite numerous studies done to bridge the gap between the mathematical models and real-life scheduling problems, there is still gap remained to be covered. In this study, position-based, time-based and experience-based learning effect calculations are employed simultaneously in order to extend applicability of the proposed model. At first, the modified single machine scheduling problem is formulated as a mixed integer mathematical model with non-linear terms. Finally, a hybrid imperialistic competitive algorithm and genetic algorithm is designed to solve this complex problem. The hybrid ICA-GA algorithm is modified in order to take advantage of ICAs intelligence and GAs operators such as crossover and mutation simultaneously.

Suggested Citation

  • Seyed Hojat Pakzad Moghadam & Hassan Mina & Seyed Hossein Iranmanesh & Ali Keyvandarian, 2015. "A new mathematical model for single machine scheduling with learning effect: continuous approach," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 7(3), pages 348-360.
  • Handle: RePEc:ids:ijmore:v:7:y:2015:i:3:p:348-360
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