Revisiting transportation problems under Monge costs with applications to location problems
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866911458501066752 |
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| author | Nickel, Stefan Puerto, Justo Ramoser, Simon Torrejon, Alberto |
| author_facet | Nickel, Stefan Puerto, Justo Ramoser, Simon Torrejon, Alberto |
| contents | We investigate the transportation problem under a Monge cost structure and derive compact formulas for optimal dual solutions based on the northwest-corner rule. As an application illustrating how these formulas yield structural insight while enhancing computational performance, we consider a broad class of facility location problems. In particular, the expressions are used within a Benders decomposition framework to derive novel formulations for the Discrete Ordered Median Problem with non-increasing weights. Numerical experiments validate that the resulting formulations achieve state-of-the-art performance and exhibit strong robustness across a wide range of instances. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_15151 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Revisiting transportation problems under Monge costs with applications to location problems Nickel, Stefan Puerto, Justo Ramoser, Simon Torrejon, Alberto Optimization and Control We investigate the transportation problem under a Monge cost structure and derive compact formulas for optimal dual solutions based on the northwest-corner rule. As an application illustrating how these formulas yield structural insight while enhancing computational performance, we consider a broad class of facility location problems. In particular, the expressions are used within a Benders decomposition framework to derive novel formulations for the Discrete Ordered Median Problem with non-increasing weights. Numerical experiments validate that the resulting formulations achieve state-of-the-art performance and exhibit strong robustness across a wide range of instances. |
| title | Revisiting transportation problems under Monge costs with applications to location problems |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2602.15151 |