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

Seyed Hojat Pakzad Moghadam, Hassan Mina, Seyed Hossein Iranmanesh and Ali Keyvandarian

International Journal of Mathematics in Operational Research, 2015, vol. 7, issue 3, 348-360

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.

Keywords: single machine scheduling; learning effect; imperialistic competitive algorithms; genetic algorithms; mathematical modelling. (search for similar items in EconPapers)
Date: 2015
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