OPTIMALITY OF AN (s, S) POLICY WITH COMPOUND POISSON AND DIFFUSION DEMANDS: A QUASI-VARIATIONAL INEQUALITIES APPROACH

被引：30

作者：

Benkherouf, Lakdere ^{[1
]}

Bensoussan, Alain ^{[2
]}

机构：

[1] Kuwait Univ, Dept Stat & Operat Res, Coll Sci, Kuwait 13060, Kuwait

[2] Univ Texas Dallas, Sch Management, Richardson, TX 75083 USA

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2009年 / 48卷 / 02期

关键词：

inventory control; impulse control; quasi-variational inequality;

D O I：

10.1137/080715883

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper revisits the paper of Bensoussan, Liu, and Sethi where they proposed a single item continuous-time inventory model where demand is a mixture of a diffusion process and a compound Poisson process. They showed that in a continuous review setting an (s, S) policy is optimal when the jump sizes are exponentially distributed. However, the case where the jump sizes are general was not solved completely. This paper solves this case.

引用

页码：756 / 762

页数：7