An integrated production-inventory model for the singlevendor two-buyer problem with partial backorder, stochastic demand, and service level constraints

2015 International Conference on Mathematics, its Applications, and Mathematics Education

数学;教育

Kurdhi, Nughthoh Arfawi^1 ; Diwiryo, Toray Adi^1 ; Sutanto^1

Department of Mathematics, Faculty of Mathematics and Natural Science, Sebelas Maret University, Surakarta

57126, Indonesia^1

关键词: Function relationships;    Integrated production-inventory model;    Optimal order quantity;    Ordering cost reduction;    Partial backordered;    Production inventory model;    Service level constraint;    Service level restrictions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/693/1/012008/pdf
DOI  :  10.1088/1742-6596/693/1/012008

学科分类：发展心理学和教育心理学

来源: IOP

【 摘 要 】

This paper presents an integrated single-vendor two-buyer production-inventory model with stochastic demand and service level constraints. Shortage is permitted in the model, and partial backordered partial lost sale. The lead time demand is assumed follows a normal distribution and the lead time can be reduced by adding crashing cost. The lead time and ordering cost reductions are interdependent with logaritmic function relationship. A service level constraint policy corresponding to each buyer is considered in the model in order to limit the level of inventory shortages. The purpose of this research is to minimize joint total cost inventory model by finding the optimal order quantity, safety stock, lead time, and the number of lots delivered in one production run. The optimal production-inventory policy gained by the Lagrange method is shaped to account for the service level restrictions. Finally, a numerical example and effects of the key parameters are performed to illustrate the results of the proposed model.