Geodesic
Manufacturer-Supplier Cooperative Inventory Model for Deteriorating Item With Trapezoidal Type Demand
Yugoslav journal of operations research, Tome 26 (2016) no. 1, p. 103 .

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This paper investigates a Supply Chain System for deteriorating items in which a supplier supplies a manufacturer with raw material, and the manufacturer produces the finished goods. Demand rate is assumed to be time-sensitive in nature (Trapezoidal type), which allows three-phase variation in demand, and production rate is demand dependent. Our adoption of trapezoidal type demand reflects a real market demand for newly launched product. We show that the total cost function is convex. With the convexity, a simple solution algorithm is presented to determine the optimal order quantity and optimal cycle time of the total cost function. Numerical examples are given and the results are discussed.
Classification : 90B05.
Keywords: Supply chain, Trapezoidal type demand, Deterioration. 
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     author = {Narayan Singh and Bindu Vaish and S. R. Singh},
     title = {Manufacturer-Supplier {Cooperative} {Inventory} {Model} for {Deteriorating} {Item} {With} {Trapezoidal} {Type} {Demand}},
     journal = {Yugoslav journal of operations research},
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Narayan Singh; Bindu Vaish; S. R. Singh. Manufacturer-Supplier Cooperative Inventory Model for Deteriorating Item With Trapezoidal Type Demand. Yugoslav journal of operations research, Tome 26 (2016) no. 1, p. 103 . http://geodesic.mathdoc.fr/item/YJOR_2016_26_1_a7/