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.

引用

页数：7

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