A Fluid Model for Systems with Random Disruptions

Hong Chen and David D. Yao
Additional contact information
Hong Chen: University of British Columbia, Vancouver, Canada and New Jersey Institute of Technology, Newark, New Jersey
David D. Yao: Columbia University, New York, New York

Operations Research, 1992, vol. 40, issue 3-supplement-2, S239-S247

Abstract: Motivated by modeling manufacturing systems in which job arrivals and processing times are essentially deterministic, but the environment is typically random, we develop a fluid model with random disruptions. The quality and relevance of such a model are supported by the following facts which we establish in this study. The fluid model is more susceptible to analysis: Its (dynamical) sample paths are continuous and piecewise linear, and its stationary behavior can be studied using standard approaches in random walk; the model is a limit of corresponding queueing systems with random disruptions that are usually difficult to analyze; there exist pathwise bounds between the fluid model and D / D /1 queues with random disruptions, and the bounds are simple and tight.

Keywords: probability; stochastic model applications: systems with random disruptions; production; applications: manufacturing in a random environment; queues: fluid model for queues with random disruptions (search for similar items in EconPapers)
Date: 1992
References: Add references at CitEc
Citations: View citations in EconPapers (7)

Downloads: (external link)
http://dx.doi.org/10.1287/opre.40.3.S239 (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:40:y:1992:i:3-supplement-2:p:s239-s247

Access Statistics for this article

More articles in Operations Research from INFORMS Contact information at EDIRC.
Bibliographic data for series maintained by Chris Asher ().