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Impulse control of a brownian inventory system with supplier uncertainty

 

作者: ShaulK. Bar-Lev,   Mahmut Parlar,   David Perry,  

 

期刊: Stochastic Analysis and Applications  (Taylor Available online 1993)
卷期: Volume 11, issue 1  

页码: 11-27

 

ISSN:0736-2994

 

年代: 1993

 

DOI:10.1080/07362999308809298

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

In this paper we consider an inventory system which is driven by several types of uncertainties. First. we assume that when an order is placed. it may not always be available. perhaps due to strikes or embargoes. The durations of the available/unavailable periods are assumed to be random. Second, it is assumed that the inventory level process is a Brownian motion with negative drift. We develop the discounted cost for the infinite horizon problem using renewal arguments. The resulting objective function of two decision variables is minimized for different values of the problem parameters and a sensitivity analysis is provided

 

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