oa Model of scheduling under constraints of energy and unavailability of the machine

Objective - This article concerns the integrated scheduling of tasks and maintenance activities under energy constraints. Indeed, scheduling under energy constraints and unavailability of the machine is often treated separately because of its complexity. In this paper, we present a new model for solving the energy constraint and machine downtime problem and use the CPLEX solver to solve the MILP mixed linear programming model to minimize the energy bill.

Methodology / Approach - we propose a mixed integer linear programming model proposed to solve the problem of scheduling under energy and unavailability constraints of the machine in order to minimize the energy bill using the CPLEX solver. In total, 36 instances were studied to evaluate parallel machine problems of different sizes.

Results - we note that for the cases studied in the “parallel machines” workshops, the CPLEX solver is able to solve the 24 instances out of 45 for our model. In general, the results obtained following the modeling of our model are better and optimal.