A STORAGE MODEL WITH A 2-STATE RANDOM ENVIRONMENT
成果类型：
Article
署名作者：
KELLA, O; WHITT, W
署名单位：
AT&T; Nokia Corporation; Nokia Bell Labs
刊物名称：
OPERATIONS RESEARCH
ISSN/ISSBN：
0030-364X
DOI：
10.1287/opre.40.3.S257
发表日期：
1992
页码：
S257-S262
关键词：
摘要：
Motivated by queues with service interruptions, we consider an infinite-capacity storage model with a two-state random environment. The environment alternates between up and down states. In the down state, the content increases according to one stochastic process; in the up state, the content decreases according to another stochastic process. We describe the steady-state behavior of this system under assumptions on the component stochastic elements. For the special case of deterministic linear flow during the up and down states, we show that the steady-state content is directly related to the steady-state workload or virtual waiting time in an associated G/G/1 queue, thus supplementing the results of D. P. Gaver, Jr., and R. G. Miller, Jr. (1962), R. G. Miller, Jr. (1963) and H. Chen and D. D. Yao (1992).