A batch sizing and Joint Scheduling Problem of Jobs and Variable Maintenance Activities under energy constraints

Abstract

It is essential to spend energy to preserve our existence and our society. In addition to production and consumption processes, a huge amount of greenhouse gases is emitted into the atmosphere. Indeed, inefficient energy use and excessive greenhouse gas emissions have raised concerns around the world. The manufacturing sector, which is the backbone of most countries, consumes almost half of the world's total available energy. To achieve the objective of saving energy and reducing financial costs, production managers must review their scheduling strategy. In this regard, this article consider the batch sizing and joint scheduling of jobs and variable maintenance activities under energy constraints The goal is to complete the schedule before a common deadline while minimizing the multiobjective of the total tardiness, the maximum demand on peak hours and the total energy consumption which depends on batch/machine assignment simultaneously. We propose to tackle this problem through mixed integer linear programming (MILP).