Title: A fuzzy goal programming approach to solve a novel supply chain multi-objective mathematical model under uncertainty

Authors: Ali Ghodratnama; Reza Hassannia; Abolfazl Mirzazadeh

Addresses: Industrial Engineering Department, Faculty of Engineering, Kharazmi University, Tehran, Iran ' Industrial Engineering Department, Faculty of Engineering, Kharazmi University, Tehran, Iran ' Industrial Engineering Department, Faculty of Engineering, Kharazmi University, Tehran, Iran

Abstract: In this paper, we have proposed a multi-objective model supply chain which aims to reduce costs, earliness/tardiness and CO₂ emissions in the supply chain. Note that, the CO₂ emissions are caused both by vehicles and factories together. Also, earliness and tardiness times are computed for each level of considered supply chain, meaning producer, distribution centres as well as sellers (retailers). Our main aim is to meet the demands of the seller in such a way that our objective functions are to be observed. Some of the parameters in the proposed mathematical model are considered uncertain and in the form of fuzzy numbers as well. For solving this multi-objective fuzzy mathematical model, Jimenez method has been first used to convert model into the crisp one, afterward, fuzzy goal programming approach is performed to solve the multi-objective model. A numerical example is considered and the obtained results are investigated and analysed meticulously.

Keywords: green supply chain; CO₂ emission; earliness and tardiness; mathematical modelling; fuzzy goal programming.

DOI: 10.1504/IJBPSCM.2017.091321

International Journal of Business Performance and Supply Chain Modelling, 2017 Vol.9 No.4, pp.280 - 314

Received: 14 Dec 2016
Accepted: 05 Dec 2017
Published online: 24 Apr 2018 *

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