e success of an industry today depends on its ability to innovate. In terms of energy performance, this innovation is reflected in the ability of manufacturers to implement new solutions or technologies that enable better energy management. In this regard, this paper aims to address this gap by incorporating energy consumption as an explicit criterion in flowshop scheduling of jobs and flexible preventive maintenance. Leveraging the variable speed of machining operations leading to different energy consumption levels, we explore the potential for energy saving in manufacturing. We develop a mixed integer linear multiobjective optimization model for minimizing the makespan and the total energy consumption. In the literature, no papers considering both production scheduling and flexible periods of maintenance with minimizing both objective the total of energy consumption in flowshop and makespan. e performance of the proposed mixed binary integer programming model is evaluated based on the exact method of branch and bound algorithm. A study of the results proved the performance of the model developed.

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Much of the scheduling theory assumes that machines are always available to process jobs at any time during the scheduling horizon. However, machines may be unavailable for various reasons in realistic practices, such as unexpected failures or variable maintenance activities. This article discusses in depth the works published in the literature of joint scheduling of jobs and variable maintenance activities in the flowshop sequencing problems. Our literature review focuses first on the basic concepts of scheduling problems, and more specifically, the scheduling strategies of production and maintenance that have been identified in the literature. Subsequently, we focus our attention on the principal methods for solving scheduling problems, while presenting in the following the main published works for the aforementioned systems. Lastly, a comparative analysis is carried out to highlight the fundamental ideas leading to the adoption of an effective approach capable of producing an optimal solution in a reasonable calculation time.