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**A deterministic, multi-item inventory model with supplier selection and imperfect quality.**
*(English)*
Zbl 1145.90313

Summary: This paper considers the scenario of supply chain with multiple products and multiple suppliers, all of which have limited capacity. We assume that received items from suppliers are not of perfect quality. Items of imperfect quality, not necessarily defective, could be used in another inventory situation. Imperfect items are sold as a single batch, prior to receiving the next shipment, at a discounted price. The demand over a finite planning horizon is known, and an optimal procurement strategy for this multi-period horizon is to be determined. Each of products can be sourced from a set of approved suppliers, a supplier-dependent transaction cost applies for each period in which an order is placed on a supplier. A product-dependent holding cost per period applies for each product in the inventory that is carried across a period in the planning horizon. Also a maximum storage space for the buyer in each period is considered. The decision maker, the buyer, needs to decide what products to order, in what quantities, with which suppliers, and in which periods. Finally, a genetic algorithm (GA) is used to solve the model.

### Keywords:

inventory control; integer programming; mathematical programming; optimization; supplier selection; genetic algorithms### Software:

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\textit{J. Rezaei} and \textit{M. Davoodi}, Appl. Math. Modelling 32, No. 10, 2106--2116 (2008; Zbl 1145.90313)

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