Paper Information

Paper Title

Multi-period Optimization of Multi-agent Circular Economy Networks: Application to Single-use PET Plastics & Polyester Textiles

Author(s)

Primary Author: Daniel Pert,
Carnegie Mellon University
Secondary Author(s):
Ana Inés Torres, Carnegie Mellon University

Presenting Conference

2026 REMADE® Circular Economy Tech Summit & Conference

Date Presented

March 11, 2026

Topics

Primary Topic: Circular Economy
Secondary Topic: Circular Economy Business Models & Approaches

Abstract

The transition to a circular economy (CE) requires multiple agents in supply chains (SCs) to take different initiatives over time. However, different agents have competing objectives, which may not align with a circular transition. Furthermore, the use of frameworks such as Circulytics [1] to assess circularity at the agent level may result in burden-shifting from one agent to another.

Although SC and superstructure optimization models have been widely employed to find optimal circular network designs [3-8], most models rely on centralized optimization of network-level objectives rather than considering the objectives of different agents. Understanding how well agent- and network-level objectives align and whether optimal CE network designs benefit some agents at the expense of others would enable the development of more holistic agent-level circularity indicators and help stakeholders prioritize efforts to improve circularity.

In addition, with the exception of [9], most CE frameworks only apply to a specific case study, limiting their generalizability to different case studies or systems in which material from one application is used for another.

Previously, we developed a generic framework for dynamic modeling of CE networks that considered multiple agents and used it to study the value chain for single-use polyethylene terephthalate (PET) plastic packaging in the U.S. [10].

Here, we formulate this framework as an optimization model and consider an extended version of the PET value chain that includes polyester textiles and chemical recycling. LCA is combined with the planetary boundaries framework [11-13] to assess environmental impact. We use multi-objective optimization to find trade-off solutions that balance network-level circularity,
environmental impact, and different agents’ net present values and Circulytics scores over a 15-year time horizon.

Our findings agree with previous work that there are trade-offs between circularity and sustainability. For the PET case study, combining glycolysis and mechanical recycling of packaging with “downcycling” of textiles to lower-quality fiber applications outside the PET value chain minimizes environmental impact, while “upcycling” of textiles into packaging via methanolysis and mechanical recycling of packaging maximizes circularity. However, all Pareto-optimal trade-off solutions outperform the baseline linear economy. Although improved network-level circularity generally leads to increased agent-level circularity, the reverse is not always the case. Furthermore, improvements in one agent’s circularity often come at the expense of other agents’ circularity or environmental impact. Therefore, there is a need for improved agent-level circularity indicators that avoid burden-shifting.

Acknowledgements
This material is based upon work supported by the National Science Foundation under Award No. 2339068 (NSF CAREER Award PI AI Torres) and Eastman Chemical Company (2025 Eastman Graduate Summer Fellowship). Disclaimer: Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation or Eastman Chemical Company.

References
[1] The Ellen MacArthur Foundation, “Circulytics- Method Introduction, Indicators, Definitions, Industry Classification,” The EllenMacArthur Foundation. Accessed: Mar. 11, 2024. [Online]. Available: https://www.ellenmacarthurfoundation.org/resources/circulytics/resources

[2] S. G. Baratsas, E. N. Pistikopoulos, and S. Avraamidou, “A quantitative and holistic circular economy assessment framework at the micro level,” Computers & Chemical Engineering, vol. 160, p. 107697, Apr. 2022, doi: 10.1016/j.compchemeng.2022.107697

[3] S. Wang and C. T. Maravelias, “Optimization methods for plastics management supply chain design,” AIChE Journal, vol. n/a, no. n/a, p. e18464, 2024, doi: 10.1002/aic.18464.

[4] U. S. Chaudhari et al., “Minimum GHG emissions and energy consumption of U.S. PET and polyolefin packaging supply chains in a circular economy,” RSC Sustainability, vol. 3, no. 7, pp. 3166–3183, July 2025, doi: 10.1039/D5SU00284B.

[5] O. Badejo, B. Hernández, D. G. Vlachos, and M. G. Ierapetritou, “Design of sustainable supply chains for managing plastic waste: The case of low density polyethylene,” Sustainable Production and Consumption, vol. 47, pp. 460–473, June 2024, doi:
10.1016/j.spc.2024.04.021.

[6] P. Munoz-Briones, A. del Carmen Munguía-López, K. S. Rivera, and S. Avraamidou, “Integrated decision-making approach for the simultaneous design of food packaging and waste management technologies to achieve a Circular Economy,” Computers & Chemical Engineering, vol. 202, p. 109269, Nov. 2025, doi: 10.1016/j.compchemeng.2025.109269.

[7] A. Ahmed, A. Nair, and A. Ines. Torres, “Design and optimization of circular economy networks—A case study of PET,” Computers & Chemical Engineering, vol. 200, p. 109164, Sept. 2025, doi: 10.1016/j.compchemeng.2025.109164.

[8] V. Thakker and B. R. Bakshi, “Designing Value Chains of Plastic and Paper Carrier Bags for a Sustainable and Circular Economy,” ACS Sustainable Chemistry & Engineering, vol. 9, no. 49, pp. 16687–16698, Dec. 2021, doi: 10.1021/acssuschemeng.1c05562.

[9] V. Thakker and B. R. Bakshi, “Toward sustainable circular economies: A computational framework for assessment and design,” Journal of Cleaner Production, vol. 295, p. 126353, May 2021, doi: 10.1016/j.jclepro.2021.126353.

[10] D. Pert and A. I. Torres, “A Framework for Dynamic Modeling of Circular Economy Networks: The Polyethylene Terephthalate (PET) Packaging Supply Chain as a Case Study,” Ind. Eng. Chem. Res., May 2025, doi: 10.1021/acs.iecr.5c00273.

[11] J. Rockström et al., “Planetary Boundaries: Exploring the Safe Operating Space for Humanity,” Ecology and Society, vol. 14, no. 2, 2009, Accessed: May 06, 2024. [Online]. Available: https://www.jstor.org/stable/26268316

[12] W. Steffen et al., “Planetary boundaries: Guiding human development on a changing planet,” Science, vol. 347, no. 6223, p. 1259855, Feb. 2015, doi: 10.1126/science.1259855.

[13] M. W. Ryberg, M. Owsianiak, K. Richardson, and M. Z. Hauschild, “Development of a life-cycle impact assessment methodology linked to the Planetary Boundaries framework,” Ecological Indicators, vol. 88, pp. 250–262, May 2018, doi: 10.1016/j.ecolind.2017.12.065.