Title: Fuzzy multi-objective, multi-item, multi-supplier, lot-sizing considering carbon footprint

Authors: Krishnendu Shaw

Addresses: Department of Management Studies, Indian School of Mines Dhanbad, Jharkhand 826004, India

Abstract: Optimum order size plays a key role for minimising carbon footprint of a supply chain. However, managers often face difficulty in handling conflicting objectives like cost reduction and carbon emission reduction for supply chain operation. As of now, very few studies have reported multi-objective, multi-item, multi-supplier lot-sizing problem taking consideration of carbon emission under fuzzy environment. This study fills the gaps of earlier research and proposes a fixed carbon cap model incorporating carbon footprint factor. The model has been subsequently modified to carbon offset and multi-objective fuzzy models. The proposed models have been solved by using different methodologies (mixed integer programming, interactive fuzzy goal programming, additive interactive fuzzy goal programming, weighted goal programming, and interactive fuzzy ε constraint method) and their results are compared. As theoretical contribution, this study extends interactive fuzzy goal programming and ε constraint method to additive interactive fuzzy goal programming and interactive fuzzy ε constraint method, respectively. The effectiveness of the proposed models has been explained through illustrative examples and various scenarios have been generated by varying different model parameters. This study will help managers to take prudent decision in carbon constrained world.

Keywords: inventory management; lot-sizing; carbon emission; interactive fuzzy goal programming; additive interactive fuzzy goal programming; interactive fuzzy ε constraint method; supply chain management; green supplier selection.

DOI: 10.1504/IJMOR.2017.086289

International Journal of Mathematics in Operational Research, 2017 Vol.11 No.2, pp.171 - 203

Received: 24 Jul 2015
Accepted: 03 Oct 2015
Published online: 04 Sep 2017 *

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