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Abstract
The existing technology is advancing into specialisation and globalisation. To survive in global competition, manufacturers should be responsible to consumer demands in different situations that are possible through efficient production planning. Due to the interaction of manufacturing components with each other, supply chain (SC) planning is an efficient approach. The sensitivity of such planning will be increased when a manufacturer is faced with fluctuations in demands. This article presents a mathematical model for production planning in a SC under demand uncertainty and solves it by a fuzzy multi-objective optimisation method. This model is formulated as multi-objective mixed-integer non-linear programming with conflicting objective functions. To release the sensitivity or different reactions of the system in terms of diverse uncertainty values, fuzziness is also considered in the inequalities of a constraint that includes an uncertain demand. The proposed method converts the non-linear model to the linear one and then transforms the fuzzy model to the parametric deterministic model. To show the effectiveness and validity of the presented model, a case study is carried out and the results obtained from GAMS software are shown. Finally, the conclusion is provided.
ORCID
Tavakkoli-Moghaddam 
http://orcid.org/0000-0002-6757-926X