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Abstract: In this paper we develop a framework for computing upper and lower bounds of an exponential form for a large class of single resource systems with non-renewal inputs. Specifically, the bounds are on quantities such as backlog, queue length, and response time. The exponential upper bound is shown to exist if the process describing the system is stable. The optimum decay rate for the bound is obtained by establishing a large deviation result for this process. The paper concludes with several... (Update)
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BibTeX entry: (Update)
Z. Liu, P. Nain, and D. Towsley. Exponential bounds with an application to call admission. Technical Report CMPSCI 94-63, University of Massachusetts, October 1994. Submitted for publication. Abridged version in CDC'94. http://citeseer.ist.psu.edu/article/liu94exponential.html More
@article{ liu97exponential,
author = "Zhen Liu and Philippe Nain and Don Towsley",
title = "Exponential bounds with applications to call admission",
journal = "Journal of the ACM",
volume = "44",
number = "3",
pages = "366--394",
year = "1997",
url = "citeseer.ist.psu.edu/article/liu94exponential.html" }
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