Title: Modelling a remanufacturing reverse logistics system using fuzzy stochastic Petri net

Authors: Junyan Wang; Xiaozhong Li; Guoli Wang; Ziping Du

Addresses: Department of Logistics Engineering, Tianjin University of Science and Technology, Tianjin 300222, China ' College of Computer Science and Information Engineering, Tianjin University of Science and Technology, Tianjin 300222, China ' College of Economics and Management, Tianjin University of Science and Technology, Tianjin 300222, China ' College of Economics and Management, Tianjin University of Science and Technology, Tianjin 300222, China

Abstract: This paper defines the concept of fuzzy stochastic Petri net (FSPN) based on Petri net theory and credibility theory and proposes an approach for modelling and analysis of reverse logistics using FSPN in both stochastic and fuzzy environments. The presented methods consist of two stages. The first stage is same as the traditional stochastic Petri net with the difference that the transition firing rates are characterised as fuzzy variable. In the second stage, the fuzzy expected values of the transition firing rates are calculated based on credibility theory and then the FSPN model is degenerated to a conventional stochastic Petri net model. A numerical example for modelling and analysis of a remanufacturing reverse logistics system is given to show the effectiveness of proposed method. The contribution of the proposed approach is that it provide theory basis for modelling time critical, dynamic and complex systems in both stochastic and fuzzy environments using FSPN.

Keywords: fuzzy SPN; stochastic Petri nets; FSPN; fuzzy variables; stochastic modelling; remanufacturing; reverse logistics.

DOI: 10.1504/IJISE.2015.068198

International Journal of Industrial and Systems Engineering, 2015 Vol.19 No.3, pp.311 - 325

Received: 16 Mar 2013
Accepted: 22 Sep 2013
Published online: 24 Mar 2015 *

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