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

Institutions

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

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

A multi-stage engineering framework for feasible scheduling of large-scale energy batch transport systems

Qi Liao, Enrico Zio, Zhengbing Li, Renfu Tu et al.
Nature Communications
Integrated Energy Systems Optimization
article

A multi-stage engineering framework for feasible scheduling of large-scale energy batch transport systems

Qi Liao, Enrico Zio, Zhengbing Li, Renfu Tu, Rui Qiu, Guangtao Fu, Yongtu Liang, Hao Zhang
article en

Abstract

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.

Nature Communications
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)
National Natural Science Foundation of China, China Scholarship Council, Beijing University of Chemical Technology
Openalex Percentile: Top 23%
Integrated Energy Systems Optimization
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.