Project
AA3-17
Efficient Algorithms for Quickest Transshipment Problems
Project Heads
Martin Skutella
Project Members
Lizaveta Manzhulina
Project Duration
01.01.2024 – 31.12.2025
Located at
TU Berlin
Description
The Quickest Transshipment Problem is to route flow as quickly as possible from sources with supplies to sinks with demands in a network with capacities and transit times on the arcs. It is of fundamental importance for numerous applications in areas such as logistics, traffic, evacuation, and finance. This project aims at a better structural understanding of quickest transshipments leading to practically efficient algorithms that can a find optimal or near-optimal solutions in large-scale traffic networks. The main mathematical challenge is to find more efficient ways to deal with the underlying submodular functions whose repeated minimization constitutes the main bottleneck of known algorithmic approaches.
Project Webpages
Selected Publications
- Miriam Schlöter, Martin Skutella, Khai Van Tran. A faster algorithm for quickest transshipments via an extended discrete Newton method. In Joseph (Seffi) Naor and Niv Buchbinder, editors, Proceedings of the ACM-SIAM Symposium on Discrete Algorithms (SODA), pages 90-102, 2022. Doi: 10.1137/1.9781611977073.5
- Martin Skutella. An introduction to transshipments over time. In Felix Fischer and Robert Johnson, editors, Surveys in Combinatorics 2024, pages 239-270, Cambridge University Press, 2024. Doi: 10.1017/9781009490559.009
- Martin Skutella. A note on the quickest minimum cost transshipment problem. Operations Research Letters 51(3): 255-258, 2023. Doi: 10.1016/J.ORL.2023.03.005
Selected Pictures
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