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Minimizing settlements

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  • Haeringer, Guillaume

Abstract

A set of sellers have to ship certain quantities of a homogeneous good to a set of buyers. The objective is to minimize the number of shipments when the shipping costs only depend on the number of shipments. We provide an upper bound on the minimum number of settlements, but we show that knowing whether the minimum number of settlements can be lower for a given problem is an NP-complete problem.

Suggested Citation

  • Haeringer, Guillaume, 2023. "Minimizing settlements," Journal of Mathematical Economics, Elsevier, vol. 106(C).
    • Handle: RePEc:eee:mateco:v:106:y:2023:i:c:s0304406823000332
    DOI: 10.1016/j.jmateco.2023.102840
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    References listed on IDEAS

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    1. Michel L. Balinski, 1961. "Fixed‐cost transportation problems," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 8(1), pages 41-54, March.
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