Fluid limits for networks with bandwidth sharing and general document size distributions
نویسندگان
چکیده
منابع مشابه
Fluid model for a data network with α-fair bandwidth sharing and general document size distributions: two examples of stability
Abstract: The design and analysis of congestion control mechanisms for modern data networks such as the Internet is a challenging problem. Mathematical models at various levels have been introduced in an effort to provide insight to some aspects of this problem. A model introduced and studied by Roberts and Massoulié [13] aims to capture the dynamics of document arrivals and departures in a net...
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Bandwidth-sharing networks as introduced by Massoulié & Roberts (1998) model the dynamic interaction among an evolving population of elastic flows competing for several links. With policies based on optimization procedures, such models are of interest both from a Queueing Theory and Operations Research perspective. In the present paper, we focus on bandwidth-sharing networks with capacities and...
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We investigate a processor-sharing queue with renewal arrivals and generally distributed service times. Impatient jobs may abandon the queue or renege before completing service. The random time representing a job’s patience has a general distribution and may be dependent on its initial service time requirement. A scaling procedure that gives rise to a fluid model with nontrivial yet tractable s...
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In the present talk we focus on α-fair bandwidth-sharing networks where the load on one or several of the links exceeds the capacity. In order to characterize the overload behavior, we examine the fluid limit, which emerges from a suitably scaled version of the number of flows of the various classes. We prove that the fluid limit is a linear function of time, and derive a fixed-point equation f...
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ژورنال
عنوان ژورنال: The Annals of Applied Probability
سال: 2009
ISSN: 1050-5164
DOI: 10.1214/08-aap541