Geodesic
Algebraic modelling of a two level supply chain with defective items
RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 2, pp. 415-427

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M. Khan and M.Y. Jaber, Optimal inventory cycle in a two-stage supply chain incorporating imperfect items from suppliers. 𝐼𝑛𝑡 . 𝐽 . 𝑂𝑝𝑒𝑟 . 𝑅𝑒𝑠 . 10 (2011) 442–457, have addressed a two level supply chain of defective items. They compared three coordination mechanisms, 𝑖 . 𝑒 . cycle time; K –multiplier cycle time; and 2 K –multiplier cycle time. This paper proposes a simpler algebraic solution for the K –multiplier cycle time mechanism without the use of differential calculus. The two level supply chain with defective items is illustrated with a numerical example. A sensitivity analysis is also provided.

DOI : 10.1051/ro/2017063
Classification : 90B05
Keywords: Supply chain management, integer multipliers, without derivatives, algebraic method

Seliaman, Mohamed E. 1 ; Khan, Mehmood 1 ; Cárdenas-Barrón, Leopoldo Eduardo 1

1 
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     title = {Algebraic modelling of a two level supply chain with defective items},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {415--427},
     publisher = {EDP-Sciences},
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Seliaman, Mohamed E.; Khan, Mehmood; Cárdenas-Barrón, Leopoldo Eduardo. Algebraic modelling of a two level supply chain with defective items. RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 2, pp. 415-427. doi: 10.1051/ro/2017063

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