Title: Application of tolerance approach to fuzzy goal programming to aggregate production planning

Authors: Mohammed Mékidiche; Hocine Mouslim; Abdelkader Sahed

Addresses: University of Tlemcen, Annexe Universitaire de Maghnia, BP-600, Maghnia, Wilaya de Tlemcen, Algeria ' University of Tlemcen, Annexe Universitaire de Maghnia, BP-600, Maghnia, Wilaya de Tlemcen, Algeria ' University of Tlemcen, Annexe Universitaire de Maghnia, BP-600, Maghnia, Wilaya de Tlemcen, Algeria

Abstract: This study presents the application of a tolerance approach to the fuzzy goal programming (FGP) developed by Kim and Whang (1998) and revised by Yaghoobi and Tamiz (2007-a) to aggregate production planning (RKW-APP) in a state-run enterprise of iron manufactures non-metallic and useful substances (Société des bentonites d'Algérie-BENTAL). The proposed formulation attempts to minimise total production and work force costs, inventory carrying costs and costs of changes in labour levels. A real-world industrial case study in demonstrating the applicability of the suggested model to practical APP decision problems is also given. The LINGO computer package has been used to solve the final crisp linear programming problem package and get an optimal production plan.

Keywords: aggregate production planning; APP; fuzzy goal programming; tolerance approach; optimisation.

DOI: 10.1504/IJMOR.2013.052460

International Journal of Mathematics in Operational Research, 2013 Vol.5 No.2, pp.183 - 204

Available online: 05 Mar 2013 *

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