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Performance Analysis of Production Systems with Correlated Demand via Diffusion Approximations
Author
Source
International Journal of Stochastic Analysis
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-31
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We investigate the performance of a production system with correlated demand through diffusion approximation.
The key performance metric under consideration is the extreme points that this system can reach.
This problem is mapped to a problem of characterizing the joint probability density of a two-dimensional Brownian motion and its coordinate running maximum.
To achieve this goal, we obtain the stationary distribution of a reflected Brownian motion within the positive quarter-plane, which is of independent interest, through investigating a solution of an extended Helmhotz equation.
American Psychological Association (APA)
Lu, Yingdong. 2012. Performance Analysis of Production Systems with Correlated Demand via Diffusion Approximations. International Journal of Stochastic Analysis،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-447152
Modern Language Association (MLA)
Lu, Yingdong. Performance Analysis of Production Systems with Correlated Demand via Diffusion Approximations. International Journal of Stochastic Analysis No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-447152
American Medical Association (AMA)
Lu, Yingdong. Performance Analysis of Production Systems with Correlated Demand via Diffusion Approximations. International Journal of Stochastic Analysis. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-447152
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-447152