Asymptotic optimality of base-stock policies for lost-sales inventory systems with stochastic lead times

被引：0
|
作者：
Yuan, Shilin [1 ]
Lyu, Jiameng [1 ]
Xie, Jinxing [1 ]
Zhou, Yuan [1 ,2 ,3 ]
机构：
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
[2] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China
[3] Beijing Inst Math Sci & Applicat, Beijing 101408, Peoples R China
来源：
OPERATIONS RESEARCH LETTERS | 2024年 / 57卷
关键词：
Lost-sales inventory system; Stochastic lead time; Asymptotic analysis; Base-stock policy; CONSTANT-ORDER POLICIES; UP-TO POLICIES;
D O I：
10.1016/j.orl.2024.107196
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
We consider the lost-sales inventory systems with stochastic lead times and establish the asymptotic optimality of base-stock policies for such systems. Specifically, we prove that as the per-unit lost-sales penalty cost becomes large compared to the per-unit holding cost, the ratio of the optimal base-stock policy's cost to the optimal cost converges to one. Our paper provides a theoretical guarantee of the widely adopted base-stock policies in lostsales inventory systems with stochastic lead times for the first time.
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页数：7
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