Title: Preemptive just-in-time scheduling problem on uniform parallel machines with time-dependent learning effect and release dates

Authors: Keyvan Shokoufi; Javad Rezaeian; Babak Shirazi; Iraj Mahdavi

Addresses: Department of Industrial Engineering, Mazandaran University of Science and Technology, Babol, Iran ' Department of Industrial Engineering, Mazandaran University of Science and Technology, Babol, Iran ' Department of Industrial Engineering, Mazandaran University of Science and Technology, Babol, Iran ' Department of Industrial Engineering, Mazandaran University of Science and Technology, Babol, Iran

Abstract: This paper considers uniform parallel machines scheduling problem with time-dependent learning effects, release dates, allowable preemption and machine idle time to minimise the total weighted earliness and tardiness penalties which is known to be strongly NP-hard. To solve this problem, this research proposes a mixed integer nonlinear programming (MINLP) model. Afterward, in order to find the best solution in an effective solution space, a dominant set is proposed for the length of the schedule experimentally. Also, based on the allowable idle time, a new time-dependent learning model on parallel machines is proposed. Furthermore, a genetic algorithm (GA) and a hybrid of genetic algorithm and particle swarm optimisation (HGA-PSO) are proposed. Taguchi method is applied to calibrate the parameters of the proposed algorithms. Finally, the computational results are provided to compare the results of the algorithms. Then, the efficiency of the proposed algorithms is discussed.

Keywords: just-in-time scheduling; uniform parallel machines; time-dependent learning effect; preemption; machine idle time; release date.

DOI: 10.1504/IJOR.2019.098311

International Journal of Operational Research, 2019 Vol.34 No.3, pp.339 - 368

Received: 05 Jun 2015
Accepted: 06 Apr 2016

Published online: 14 Mar 2019 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article