1. Guide Jr, V. D. R., & Van Wassenhove, L. N. (2009). The evolution of closed-loop supply chain research. Operations Research, 57(1), 10-18. In the introduction (p. 10), a closed-loop supply chain is defined as a system designed to "maximize value creation over the entire life cycle of a product with dynamic recovery of value from different types and volumes of returns over time." This directly applies to the reprocessing of returned goods. DOI: https://doi.org/10.1287/opre.1080.0628
2. Govindan, K., Soleimani, H., & Kannan, D. (2015). Reverse logistics and closed-loop supply chain: A comprehensive review to explore the future. European Journal of Operational Research, 240(3), 603-626. The paper clarifies (Section 1, p. 604) that a CLSC is a more comprehensive concept than reverse logistics, as it considers the integration of the reverse chain with the forward chain, as seen in the Plastic Fantastic Ltd. example. DOI: https://doi.org/10.1016/j.ejor.2014.07.012
3. Savaskan, R. C., Bhattacharya, S., & Van Wassenhove, L. N. (2004). Closed-loop supply chain models with product remanufacturing. Management Science, 50(2), 239-252. The abstract and introduction (p. 239) explicitly model a closed-loop supply chain where a manufacturer collects used products from the market for remanufacturing (a form of reprocessing), which aligns perfectly with the question's scenario. DOI: https://doi.org/10.1287/mnsc.1030.0186