abstract

Factorization properties for a MAP-modulated fluid flow model under server vacation policies (abstract only)

Authors:

Jung Woo Baek,

Ho Woo Lee,

Se Won Lee,

Soohan AhnAuthors Info & Claims

ACM SIGMETRICS Performance Evaluation Review, Volume 39, Issue 4

Page 25

https://doi.org/10.1145/2185395.2185404

Published: 09 April 2012 Publication History

Abstract

In this paper, we study a MAP-modulated fluid flow model under generalized server vacation policies and propose factorization properties that can be efficiently used to derive the fluid level distributions at an arbitrary time point. Our model is an extension of the conventional Markov modulated fluid flow (MMFF) model to control the servers idle state. We consider two types of fluid increases: vertical increase (Type-V) and linear increase (Type-L). We first describe the MAP-modulated fluid flow model under server vacation policies and prove the factorization principle for each type. Based on the factorization formulae, we derive recursive formulae for performance measures. Lastly, some application examples of the factorization property are presented.

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cover image ACM SIGMETRICS Performance Evaluation Review

ACM SIGMETRICS Performance Evaluation Review Volume 39, Issue 4

March 2012

134 pages

ISSN:0163-5999

DOI:10.1145/2185395

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Association for Computing Machinery

New York, NY, United States

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Published: 09 April 2012

Published in SIGMETRICS Volume 39, Issue 4

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Study of multi server retrial queueing system under vacation policies by direct truncation method

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