نتایج جستجو برای: heavy traffic

تعداد نتایج: 220154  

Journal: :Advances in Applied Probability 1989

1999
Konstantinos P. Tsoukatos Armand M. Makowski Prakash Narayan Adrian Papamarcou Leandros Tassiulas

Title of Dissertation: HEAVY AND LIGHT TRAFFIC REGIMES FOR M |G|∞ TRAFFIC MODELS Konstantinos P. Tsoukatos, Doctor of Philosophy, 1999 Dissertation directed by: Professor Armand M. Makowski Department of Electrical Engineering The M |G|∞ busy server process provides a class of structural models for communication network traffic. In this dissertation, we study the asymptotic behavior of a networ...

Journal: :Queueing Syst. 2004
Ward Whitt

We establish heavy-traffic stochastic-process limits for the queue-length and overflow stochastic processes in the standard single-server queue with finite waiting room (G/G/1/K). We show that, under regularity conditions, the content and overflow processes in related single-server models with finite waiting room, such as the finite dam, satisfy the same heavy-traffic stochastic-process limits....

Journal: :Queueing Syst. 2016
David T. Koops Onno J. Boxma Michel Mandjes

In this paper we study the stationary workload distribution of a fluid tandem queue in heavy traffic. We consider different types of Lévy input, covering compound Poisson, α-stable Lévy motion (with 1 < α < 2), and Brownian motion. In our analysis, we separately deal with Lévy input processes with increments that have finite and infinite variance. A distinguishing feature of this paper is that ...

2011
Alicia Amigou Claire Sermage-Faure Laurent Orsi Guy Leverger André Baruchel Yves Bertrand Brigitte Nelken Alain Robert Gérard Michel Geneviève Margueritte Yves Perel Françoise Mechinaud Pierre Bordigoni Denis Hémon Jacqueline Clavel

BACKGROUND Traffic is a source of environmental exposures, including benzene, which may be related to childhood leukemia. OBJECTIVES A national registry-based case-control study [ESCALE (Etude Sur les Cancers et les Leucémies de l'Enfant, Study on Environmental and Genetic Risk Factors of Childhood Cancers and Leukemia)] carried out in France was used to assess the effect of exposure to road ...

Journal: :Oper. Res. Lett. 2012
Tatsuaki Kimura Hiroyuki Masuyama Yutaka Takahashi

Asmussen (1987) proved a heavy-traffic limit theorem for the GI/G/1-type Markov chain. As a corollary, the theorem shows that in the heavy-traffic limit, the stationary distribution of the properly scaled level variable is geometric and independent of the phase variable. In this paper, the heavy-traffic asymptotics of the stationary distribution is proved under a weaker condition than Asmussen’...

Journal: :Queueing Syst. 2008
Jiheng Zhang Bert Zwart

We investigate steady state properties of limited processor sharing queues in heavy traffic. Our analysis builds on previously obtained process limit theorems, and requires the interchange of steady state and heavy traffic limits, which are established by a coupling argument. The limit theorems yield explicit approximations of the steady state queue length and response time distribution in heav...

Journal: :Queueing Syst. 2011
Mariana Olvera-Cravioto Peter W. Glynn

Abstract: This paper studies the asymptotic behavior of the steady-state waiting time, W∞, of the M/G/1 queue with subexponenential processing times for different combinations of traffic intensities and overflow levels. In particular, we provide insights into the regions of large deviations where the so-called heavy traffic approximation and heavy tail asymptotic hold. For queues whose service ...

Journal: :iranian journal of public health 0
j nouri kd naghipour

environmental pollution of soil, plants and deposits around highways endanger urban environment through heavy metals as the by-products of vehicles and urban industries along with other pollutants. in this research, three main highways of tehran city; namely shahid chamran, shahid hemmat and yadegar emam which had the highest rate of vehicle transportation were selected and required sampling wa...

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