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Entropy maximization and the busy period of some single-server vacation models

Jesus R. Artalejo, Maria J. Lopez-Herrero (2004)

RAIRO - Operations Research - Recherche Opérationnelle

In this paper, information theoretic methodology for system modeling is applied to investigate the probability density function of the busy period in M / G / 1 vacation models operating under the N -, T - and D -policies. The information about the density function is limited to a few mean value constraints (usually the first moments). By using the maximum entropy methodology one obtains the least biased probability density function satisfying the system’s constraints. The analysis of the three controllable...

Entropy maximization and the busy period of some single-server vacation models

Jesus R. Artalejo, Maria J. Lopez-Herrero (2010)

RAIRO - Operations Research

In this paper, information theoretic methodology for system modeling is applied to investigate the probability density function of the busy period in M/G/1 vacation models operating under the N-, T- and D-policies. The information about the density function is limited to a few mean value constraints (usually the first moments). By using the maximum entropy methodology one obtains the least biased probability density function satisfying the system's constraints. The analysis of the three controllable...

Equilibrium states for the Landau-Fermi-Dirac equation

Véronique Bagland, Mohammed Lemou (2004)

Banach Center Publications

A kinetic collision operator of Landau type for Fermi-Dirac particles is considered. Equilibrium states are rigorously determined under minimal assumptions on the distribution function of the particles. The particular structure of the considered operator (strong non-linearity and degeneracy) requires a special investigation compared to the classical Boltzmann or Landau operator.

Ergodic behaviour of “signed voter models”

G. Maillard, T. S. Mountford (2013)

Annales de l'I.H.P. Probabilités et statistiques

We answer some questions raised by Gantert, Löwe and Steif (Ann. Inst. Henri Poincaré Probab. Stat.41(2005) 767–780) concerning “signed” voter models on locally finite graphs. These are voter model like processes with the difference that the edges are considered to be either positive or negative. If an edge between a site x and a site y is negative (respectively positive) the site y will contribute towards the flip rate of x if and only if the two current spin values are equal (respectively opposed)....

Currently displaying 401 – 420 of 1453