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Storage-Limited Queues in Heavy Traffic

Probability in the Engineering and Informational Sciences, 1991
This paper models primary computer storage in the context of a general (GI/GI/l) queueing system. Queued items are described by sizes, or storage requirements, as well as by arrival and service times; the sum of the sizes of the items in the system is the occupied storage.
Coffman, E. G. jun.   +2 more
openaire   +1 more source

Asymptotic Analysis of Traffic Lights Performance Under Heavy Traffic Assumption

Methodology and Computing in Applied Probability, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Afanasyeva, Larisa   +1 more
openaire   +2 more sources

Queue Disciplines in Heavy Traffic

Mathematics of Operations Research, 1982
A general method of analyzing the behavior in heavy traffic of queues with different impartial queue disciplines is described. There are many possible limiting waiting time distributions though all are mixtures of negative exponentials. The exponential distribution itself, however, shows a degree of robustness to departures from the “first come first ...
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Queueing Simulation in Heavy Traffic

Mathematics of Operations Research, 1992
The heavy traffic behavior of a number of standard queueing simulation procedures like sample averaging and regenerative simulation is studied. In particular, limit theorems based upon Brownian approximations are given in a double limit with both the sample size t tending to infinity and the traffic intensity ρ tending to one.
openaire   +2 more sources

Scheduling for Heavy Traffic

2011
Previous chapters looked at SOAP performance through various optimisations, which included grouping messages (so to reduce the number of message) as well as smartly routing messages (so to reduce the routing path to destination). This chapter (as well as the next chapter) look at the performance of Web services on the server side.
Zahir Tari   +3 more
openaire   +1 more source

Service Systems in Heavy Traffic

Theory of Probability & Its Applications, 1963
Let $\eta _n $ be the waiting time of the n-th customer arriving at a service line. It is proved that under certain conditions the distribution of $\delta \eta _n $ tends to a negative exponential distribution as $\delta \to 0$, and $n\delta ^2 \to \infty $, where $\delta = {{({\bf M}\tau - {\bf M}\chi )} / {M\tau ;}}{\bf M}\tau $ and ${\bf M}\chi ...
openaire   +1 more source

Heavy Traffic

Traffic Technology International
Texan roads are under pressure. Tom Stone looks at how new research analyzes border controls for heavy vehicles, calculates permit revenues vs road repair costs and recommends ways to protect the state’s highways for the ...
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Heavy Traffic Analysis of Two Coupled Processors

Queueing Systems, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Knessl, Charles, Morrison, John A.
openaire   +2 more sources

Heavy-traffic inventory—production systems

International Journal of Production Economics, 1992
Abstract Multi-commodity inventory—production systems with two classes of customers are investigated in heavy-traffic conditions. For the single commodity case the deteriorating items are considered as well as non-deteriorating and optimization is carried out.
openaire   +1 more source

Controlled queues in heavy traffic

Advances in Applied Probability, 1975
This paper studies a controlled queueing system in which the decisionmaker may change servers according to rules which depend only on the queue length. It is proved that for a given control policy a properly normalised sequence of these controlled queue length processes converges weakly to a controlled diffusion process as the queueing systems approach
openaire   +2 more sources

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