University of Guilan Journal of Mathematical Modeling 2345-394X 9 2 2021 05 01 Flow shop scheduling under Time-Of-Use electricity tariffs using fuzzy multi-objective linear programming approach 215 227 4335 10.22124/jmm.2020.16104.1406 EN Seyed Amin Badri Department of Industrial Engineering, Faculty of Technology and Engineering, East of Guilan, University of Guilan, Rudsar-Vajargah, Iran Allahyar Daghbandan Department of Chemical Engineering, Faculty of Engineering, University of Guilan, Rasht, Iran Zahra Aghabeiginiyay Fatalaki Department of Industrial Engineering, Kooshyar higher education institute, Rasht, Iran Mohammad Mirzazadeh Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, Rudsar-Vajargah, Iran Journal Article 2020 03 29 <br />Given the reduction of non-renewable energy resources and increase of energy costs during  recent years, developing an efficient scheduling model considering energy consumption is necessary in manufacturing systems. This paper is dedicated to flow shop scheduling problem under Time-Of-Use electricity tariffs. In this regard, a bi-objective mixed-integer programming model is formulated for the problem. Two objectives, namely, the minimization of the total electricity cost and the sum of earliness and tardiness of jobs, are considered simultaneously. The bi-objective model is converted into an equivalent single objective linear programming model using fuzzy multi-objective programming approach. The CPLEX solver in GAMS software is used to solve the proposed model for an instance. The numerical example shows that the proposed model is reasonable and applicable. https://jmm.guilan.ac.ir/article_4335_f1bc25e87d5e943ac1d33bf41f98cf87.pdf