A multi-stage engineering framework for feasible scheduling of large-scale energy batch transport systems
The energy transition is driving batch transport systems toward multi-product, high-frequency operations, with more batches and smaller batch volumes. However, strong couplings among material flows, operational decisions and temporal constraints make large-scale scheduling increasingly difficult, often rendering direct optimization computationally infeasible within practical engineering timeframes. This challenge is particularly pronounced in large-scale multi-product pipeline systems. To address this, this study proposes a multi-stage engineering framework that enables feasible and scalable scheduling of large-scale, batch-centric transport systems. The framework integrates two complementary mechanisms: a coarse-to-fine feasibility identification strategy that progressively narrows the admissible operational space, and a divide-and-conquer temporal decomposition strategy that partitions long scheduling horizons into tractable sub-horizons. The proposed framework is validated using two distinct industrial-scale pipeline systems. In a six-product benchmark, the framework achieves zero or negligible optimality gaps. For a complex branching network, it obtains feasible, high-quality schedules within the engineering time limit, whereas direct optimization fails to achieve a gap below 3%. Temporal decomposition reduces active binary variables and improves solution quality by over 50%. The framework provides a generalizable approach for large-scale batch transport and emerging multi-carrier energy infrastructures. A multi-stage framework enables feasible, high-quality scheduling of large-scale energy transport systems that challenge conventional optimization, supporting more efficient operation of emerging multi-carrier energy infrastructure.
Authors
- Qi Liao (ORCID: https://orcid.org/0000-0003-3209-9992)
- Enrico Zio (ORCID: https://orcid.org/0000-0002-7108-637X)
- Zhengbing Li
- Renfu Tu (ORCID: https://orcid.org/0000-0002-5657-4084)
- Rui Qiu (ORCID: https://orcid.org/0000-0002-9918-8271)
- Guangtao Fu
- Yongtu Liang
- Hao Zhang
Institutions
- Sinopec (China) (CN)
- China University of Petroleum, Beijing (CN)
- Université Paris Sciences et Lettres (FR)
- École Nationale Supérieure des Mines de Paris (FR)
- Beijing University of Chemical Technology (CN)
- Politecnico di Milano (IT)
Publication Details
- Journal
- Nature Communications
- Published
- 2026-10-13
- DOI
- https://doi.org/10.1038/s41467-026-78556-z
- Primary Topic
- Integrated Energy Systems Optimization
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- China Scholarship Council
- Beijing University of Chemical Technology