Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/96923
Title: A Markov-modulated fluid flow queueing model under D-policy
Authors: Baek, Jung Woo
Lee, Ho Woo
Lee, Se Won
Ahn, Soohan
Issue Date: 2011
Source: Baek, J. W., Lee, H. W., Lee, S. W., & Ahn, S. (2011). A Markov-modulated fluid flow queueing model under D-policy. Numerical Linear Algebra with Applications, 18(6), 993-1010.
Series/Report no.: Numerical linear algebra with applications
Abstract: We consider a Markov-modulated fluid flow queueing model under D-policy. As soon as the fluid level reaches zero, the server becomes idle. During the idle period, fluid arrives from outside according to an underlying continuous time Markov chain (UMC) and the idle server does not process the fluid. We consider two increase patterns of fluid during the idle period: vertical increase (Type-V) and linear increase (Type-L). The idle server is reactivated only when the cumulative fluid level in the system exceeds a predetermined threshold value D. We derive the distributions of fluid level and mean performance measures for both types. We also present cost optimization model to minimize average operating cost per unit time.
URI: https://hdl.handle.net/10356/96923
http://hdl.handle.net/10220/10393
ISSN: 1099-1506
DOI: 10.1002/nla.811
Rights: © 2011 John Wiley & Sons, Ltd.
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:MAE Journal Articles

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