A Joint Replenishment Inventory Model for Imperfect Quality Items with Shortages

Ai, The Jin and Astanti, Ririn Diar (2015) A Joint Replenishment Inventory Model for Imperfect Quality Items with Shortages. In: Asia Pacific Industrial Engineering and Management System Conference 2015, 8-11 Desember 2015, Ho Chi Minh City, Vietnam.

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Abstract

An n items joint replenishment inventory problem is considered here, where the demand of each items are constant and deterministic. A joint replenishment is conducted periodically every T time intervals. However, all items may not be included in each replenishment. Item i is only included every ZiT time intervals. Replenishment of item are instantaneous and contain of imperfect quality items. After screening, items of poor quality are sorted, kept in stock and sold at a salvage value as a single batch within the replenishment cycle. Shortages are allowed and completely backordered with maximum backordering quantity Bi. Mathematical model is formulated in order to determining the basic time cycle T, replenishment multiplier Zi, and backordering quantity Bi in order to maximize the expected total profit per unit time. A solution methodology is proposed for solve the model and a numerical example is provided for demonstrating the effectiveness of the proposed methodology.

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