Some remarks on Burkhardt's model for pressure broadening of spectral lines
Wilhelm von Waldenfels (1973)
Séminaire de probabilités de Strasbourg
Z. A. Łomnicki (1974)
Applicationes Mathematicae
Steif, Jeffrey E., Sudbury, Aidan (2006)
Electronic Communications in Probability [electronic only]
Lakshmi Kanta Patra, Suchandan Kayal, Phalguni Nanda (2018)
Applications of Mathematics
We focus on stochastic comparisons of lifetimes of series and parallel systems consisting of independent and heterogeneous new Pareto type components. Sufficient conditions involving majorization type partial orders are provided to obtain stochastic comparisons in terms of various magnitude and dispersive orderings which include usual stochastic order, hazard rate order, dispersive order and right spread order. The usual stochastic order of lifetimes of series systems with possibly different scale...
Häggström, Olle, Mester, Péter (2009)
Electronic Communications in Probability [electronic only]
Omer Adelman (1976)
Annales de l'I.H.P. Probabilités et statistiques
Fernández, Roberto, Ferrari, Pablo A., Guerberoff, Gustavo R. (2005)
Mathematical Physics Electronic Journal [electronic only]
Schertzer, Emmanuel, Sun, Rongfeng, Swart, Jan M. (2009)
Electronic Journal of Probability [electronic only]
C. Landim, G. Panizo, H. T. Yau (2002)
Annales de l'I.H.P. Probabilités et statistiques
Gustavo Posta (1997)
ESAIM: Probability and Statistics
Gustavo Posta (2010)
ESAIM: Probability and Statistics
We give an accurate asymptotic estimate for the gap of the generator of a particular interacting particle system. The model we consider may be informally described as follows. A certain number of charged particles moves on the segment [1,L] according to a Markovian law. One unitary charge, positive or negative, jumps from a site k to another site k'=k+1 or k'=k-1 at a rate which depends on the charge at site k and at site k'. The total charge of the system is preserved by the dynamics, in...
Morris, Ben (2008)
Electronic Communications in Probability [electronic only]
Merkl, Franz, Rolles, Silke W.W. (2009)
Electronic Journal of Probability [electronic only]
Amina Angelika Bouchentouf (2013)
Applicationes Mathematicae
We study the ergodicity of a multi-class queueing model via fluid limits which have the advantage of describing the model in macroscopic form. We consider a model of processing bandwidth requests. Our system is defined by a network of capacity C=N, and a queue which contains an infinite number of items of various sizes 1, a' and b' with 1 < a' < b' < N. The problem considered is: Under what conditions on the parameters of some large classes of networks, do they reach the stationary regime?...
P. M. Peruničić (1989)
Matematički Vesnik
Belarbi, Faiza, Bouchentouf, Amina Angelika (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
Bramson, Maury (2008)
Probability Surveys [electronic only]
Kernane, Tewfik, Aïssani, Amar (2006)
Journal of Applied Mathematics and Stochastic Analysis
Atar, Rami, Budhiraja, Amarjit (2002)
Electronic Journal of Probability [electronic only]
Jesús Artalejo, Gennadi Falin (2002)
Revista Matemática Complutense
We describe main models and results of a new branch of the queueing theory, theory of retrial queues, which is characterized by the following basic assumption: a customer who cannot get service (due to finite capacity of the system, balking, impatience, etc.) leaves the service area, but after some random delay returns to the system again. Emphasis is done on comparison with standard queues with waiting line and queues with losses. We give a survey of main results for both single server M/G/1 type...