In the standard formulation of the occupancy problem one considers the distribution of r balls in n cells, with each ball assigned independently to a given cell with probability 1/n.
In the standard formulation of the occupancy problem one considers the distribution of r balls in n cells, with each ball assigned independently to a given cell with probability 1/n.
A Large Deviations Principle (LDP), demonstrated for occupancy problems with indistinguishable balls, is generalized to the case in which balls may be distinguished by a finite number of colors.
This article focuses on a queue fed by a large number of "semi-Markov modulated fluid sources", e.g., on/off sources with on and off-times that have general distributions.
We consider a model where multiple queues, each with its own exogenous arrival process, are served by a server whose capacity varies randomly and asynchronously with respect to different queues
We consider a model where multiple queues, each with its own exogenous arrival process, are served by a server whose capacity varies randomly and asynchronously with respect to different queues.
The theory of large deviations for jump Markov processes has been generally proved only when jump rates are bounded below, away from zero (Dupuis and Ellis, 1995, The large deviations principle for
The theory of large deviations for jump Markov processes has been generally proved only when jump rates are bounded below, away from zero.
The theory of large deviations for jump Markov processes has been generally proved only when jump rates are bounded below, away from zero [2,5,7].
We demonstrate a silicon Bragg grating with a large dispersion of -146 ps/nm and reduced ripple using a phase shifter array.