A fuzzy multi-objective goal programming model for solving an aggregate production planning problem with uncertainty

The aggregate production planning problem is one of the well-known planning problems in industries and manufacturing systems. It is implemented at an aggregated level without the need to provide detailed information about material and resource requirements for individual products. A multi-objective aggregate production planning problem is studied in current paper with four criteria, namely: 1) shortage and inventory; 2) overtime and idle time; 3) manpower level; 4) currency saving in a mid-term planning horizon. After describing the problem, a goal programming model is presented to formulate the problem mathematically and then a fuzzy goal programming model is utilised to encounter the uncertainties encountered in real-world systems. Unlike many previous works, this paper proposes a linear programming model which is solvable in a short time. Finally, to evaluate the performance, both models are verified with real data.