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Technical note: Some structural results on acyclic supply chains. (English) Zbl 1230.90039

Summary: We consider acyclic supply chains under the full backorder assumption and reveal several simple yet unique properties. Most interestingly, we identify conditions for the best dedicated stocking policy to outperform the best shared stocking policy, and for an acyclic supply chain to be decomposable into a simpler network (e.g., tree). We specify ways to decompose them.

MSC:

90B06 Transportation, logistics and supply chain management
90B05 Inventory, storage, reservoirs
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References:

[1] Axsater, Inventory control (2006)
[2] Billington, Accelerating the profitability of Hewlett-Packard’s supply chains, Interfaces 34 pp 59– (2004)
[3] de Kok, Supply chain management 11, in: Handbooks in operations research and management science pp 597– (2003)
[4] Graves, A Multi-echelon inventory model with fixed replenishment intervals, Manage Sci 42 pp 1– (1996)
[5] Graves, Optimizing strategic safety stock placement in supply chains, Manuf Service Oper Manage 2 pp 68– (2000)
[6] Graves, Supply chain management: Design, coordination and operation 11, in: Handbooks in operations research and management science pp 95– (2003)
[7] Humair, Working Paper (2007)
[8] E. Lesnaia Optimizing safety stock placement in general network supply chains, Ph.D. Thesis 2004
[9] Magnanti, Inventory placement in acyclic supply chain networks, Oper Res Lett 34 pp 228– (2006)
[10] Minner, Lecture notes in economics and mathematical systems, Vol. 490 (2000)
[11] Rosling, Optimal inventory policies for assembly systems under random demand, Oper Res 37 pp 565– (1989) · Zbl 0677.90025
[12] Simchi-Levi, Safety stock positioning in supply chains with stochastic lead-times, Manuf Service Oper Manage 7 pp 295– (2005)
[13] D. Simchi-Levi Y. Zhao Three generic methods for evaluating stochastic multi-echelon inventory systems, Technical Report 2007
[14] Song, Supply chain management 11, in: Handbooks in operations research and management science pp 561– (2003)
[15] Svoronos, Evaluation of one-for-one replenishment policies for multiechelon inventory systems, Manage Sci 37 pp 68– (1991)
[16] Zhao, Evaluation and optimization of installation base-stock policies in supply chains with compound Poisson processes, Oper Res 56 pp 437– (2007)
[17] Zipkin, Foundations of inventory management (2000)
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