The single server queue and the storage model: Large deviations and fixed points

The Single Server Queue and the Storage Model: Large Deviations and Fixed Points

We consider the coupling of a single server queue and a storage model defined as a Queue/Store model in [6, 7]. We establish that if the input variables both arrivals to the queue and to the store satisfy large deviations principles and are linked through an exponential tilting than the output variables (departures from each system) satisfy large deviations principles with the same rate functio...

Large deviations methods and the join-the-shortest-queue model

We develop a methodology for studying “large deviations type” questions. Our approach does not require that the large deviations principle holds, and is thus applicable to a larg class of systems. We study a system of queues with exponential servers, which share an arrival stream. Arrivals are routed to the (weighted) shortest queue. It is not known whether the large deviations principle holds ...

the relationship between learners critical thinking ability and their performance in the reading sections of the tofel and ielts test

the study reflected in this thesis aims at finding out relationships between critical thinking (ct), and the reading sections of tofel and ielts tests. the study tries to find any relationships between the ct ability of students and their performance on reading tests of tofel and academic ielts. however, no research has ever been conducted to investigate the relationship between ct and the read...

Large deviation analysis of the single server queue

Certain corrections are needed in this paper concerning the definition and properties of the weak topology on 12. Instead of characterising it in terms of converging sequences as on p. 7, one should define the weak topology as the coarsest topology for which the evaluations f --+ f o h(t)dr(t), f E ]2, are continuous for all continuous h(t) of compact support. With this topology, 12 is a Tihono...

Large Deviations for Join the Shorter Queue