Network ‎D‎ata Envelopment Analysis Models For Measuring Efficiency Of a Four-Stage Supply Chain With Returned Outputs‎

Document Type: Research Paper


1 Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, ‎Iran.

2 Department of Mathematics, Qazvin Branch, Islamic Azad University, Qazvin, ‎Iran.

3 Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, ‎Iran.‎


In this paper using DEA technique, four-stage DEA model mooted in order to consider the situation in which returned products exist. Returned products are the inputs of the previous sub-processes that need to be reprocessed due to existence of flaws. Here, a supply chain with four stages as supplier, manufacture, distributor, and retailer with intermediate and return products has been considered and a DEA model formulated for performance analysis.