A Joint Replenishment Inventory Model with Lost Sales

International Conference on Industrial and Systems Engineering 2017

Devy, N.L.^1 ; Ai, T.J.^1 ; Astanti, R.D.^1

Department of Industrial Engineering, Universitas Atma Jaya Yogyakarta, Indonesia^1

关键词: Cost per unit;    Inventory modeling;    Inventory problem;    Inventory replenishment;    Joint replenishment;    Solution methodology;    Time cycles;    Time interval;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/337/1/012018/pdf
DOI  :  10.1088/1757-899X/337/1/012018

来源: IOP

【 摘 要 】

This paper deals with two items joint replenishment inventory problem, in which the demand of each items are constant and deterministic. Inventory replenishment of items is conducted periodically every T time intervals. Among of these replenishments, joint replenishment of both items is possible. It is defined that item i is replenished every ZiT time intervals. Replenishment of items are instantaneous. All of shortages are considered as lost sales. The maximum allowance for lost sales of item i is Si. Mathematical model is formulated in order to determining the basic time cycle T, replenishment multiplier Zi, and maximum lost sales Siin order to minimize the total cost 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.