Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-05T09:43:41.323Z Has data issue: false hasContentIssue false
  • English
  • Français

Storage with deterministic outputs and inputs subject to breakdown

Published online by Cambridge University Press:  14 July 2016

P. M. Wu
P. M. Wu*
Affiliation:
University of Sydney
Get access Rights & Permissions [Opens in a new window]

Extract

In this paper, we shall consider a storage model in which a bin of finite capacity is fed by specified r(r > 0) or zero input depending on the content of the bin and the operation of the input machines (i.e., whether or not they are working on the bin). These machines are allowed to fill the bin until its level reaches maximum and they are then used to produce some secondary products not relevant to the storage problem. When the content of the bin decreases to a given minimum level, these machines are again set to feed the bin. The whole process is then repeated. It is often desirable in practice to keep the minimum level as low as possible, to attain stability in the process, or for maintenance purposes. When the machines are subject to breakdowns, it becomes necessary to consider the reliability of the operational system.

Type
Research Papers
Information
Journal of Applied Probability , Volume 5 , Issue 3 , December 1968 , pp. 636 - 647
Copyright
Copyright © Applied Probability Trust 1968 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Doetsch, G. (1961) Guide to the Application of Laplace Transforms. Van Nostrand, London.Google Scholar
[2] Gaver, D. P. and Miller, R. G. Jr. (1962) Limiting distributions for some storage problems. Studies in Applied Probability and Management Science. Stanford University Press.Google Scholar
[3] Miller, R. G. Jr. (1963) Continuous time stochastic storage processes with random linear inputs and outputs. J. Math. Mech. 12, 275–291.Google Scholar