Treffer: Logistics cost optimisation and allocation for additive manufacturer make-to-order cooperation.

Additive manufacturing is a key technology in cloud and smart manufacturing due to its high level of automation and customisation. Advancements in manufacturing technology have reshaped the traditional make-to-order model, enabling better resource coordination, supply chain optimisation, and production flexibility. This paper tackles cooperative logistics optimisation for additive manufacturing by targeting systematic cost reduction and fair allocation. We develop a mixed-integer linear programming model that integrates production, inventory, and transportation costs while optimising order assignment, inventory transshipment, and centralised raw material procurement. Two coalition models for cost allocation are examined: one involving both manufacturers and retailers and another comprising only additive manufacturing manufacturers. The former may lead to empty core scenarios, whereas the latter guarantees a stable cost allocation mechanism. To address the empty core issue, we propose an exact row-generation algorithm along with a hybrid approach that combines linear and Lagrangian relaxations. Experiments reveal that the exact method suits small-scale problems, whereas the hybrid approach performs better on large-scale problems, offering valuable insights into logistics cost optimisation for cooperative make-to-order additive manufacturing. [ABSTRACT FROM AUTHOR]

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