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Original Articles

An enhanced possibilistic programming approach for reliable closed-loop supply chain network design

, , &
Pages 1358-1387 | Received 01 Nov 2014, Accepted 16 Jun 2015, Published online: 24 Jul 2015
 

Abstract

Most of current logistics network design models in the literature typically assume that facilities are always available and absolutely reliable while in practice, they are always subject to several operational and disruption risks. This paper proposes a reliable closed-loop supply chain network design model, which accounts for both partial and complete facility disruptions as well as the uncertainty in the critical input data. The proposed model is of mixed integer possibilistic linear programming type that aims to minimise simultaneously the total cost of opening new facilities and the expected cost of disruption scenarios. An enhanced possibilistic programming approach is proposed to deal with the epistemic uncertainty in input data. Furthermore, the p-robustness criterion is used to limit the cost of disruption scenarios and protect the designed network against random facility disruptions. Several numerical experiments along with sensitivity analyses on uncertain parameters are conducted to illustrate the significance and applicability of the developed model as well as the effectiveness of the proposed solution approach. Our results demonstrate that operational and disruption risks considerably affect the whole structure of the designed network and they must be taken into account when designing a reliable closed-loop logistics network.

Acknowledgement

We would like to thank the anonymous reviewers for their constructive comments that helped us to improve the quality of the paper considerably. This research was supported by the University of Tehran [grant number 8109920/1/12]. The authors are grateful for this financial support.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This research was supported by the University of Tehran [grant number 8109920/1/12].

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