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

Authors: Hadi Mosadegh; Ehsan Khakbazan; Ali Salmasnia; Hadi Mokhtari

Addresses: Department of Industrial Engineering and Management Systems, Amirkabir University of Technology, Tehran, Iran ' Department of Industrial Engineering, Faculty of Engineering, Tarbiat Modares University, Tehran, Iran ' Department of Industrial Engineering, Faculty of Engineering and Technology, University of Qom, Qom, Iran ' Department of Industrial Engineering, Faculty of Engineering, University of Kashan, Kashan, Iran

Abstract: 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.

Keywords: aggregate production planning; multi-objective optimisation; fuzzy goal programming.

DOI: 10.1504/IJIDS.2017.084883

International Journal of Information and Decision Sciences, 2017 Vol.9 No.2, pp.97 - 115

Received: 12 Mar 2015
Accepted: 26 May 2015
Published online: 08 Jul 2017 *

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