CAPACITY EXPANSION UNDER STOCHASTIC DEMANDS
成果类型：
Article
署名作者：
BEAN, JC; HIGLE, JL; SMITH, RL
署名单位：
University of Arizona
刊物名称：
OPERATIONS RESEARCH
ISSN/ISSBN：
0030-364X
DOI：
10.1287/opre.40.3.S210
发表日期：
1992
页码：
S210-S216
关键词：
摘要：
We consider the problem of optimally meeting a stochastically growing demand for capacity over an infinite horizon. Under the assumption that demand for product follows either a nonlinear Brownian motion or a non-Markovian birth and death process, we show that this stochastic problem can be transformed into an equivalent deterministic problem. Consistent with earlier work by A. Manne, the equivalent problem is formed by replacing the stochastic demand by its deterministic trend and discounting all costs by a new interest rate that is smaller than the original, in approximate proportion to the uncertainty in the demand.