Zobrazeno 1 - 10
of 347
pro vyhledávání: '"Budhiraja, Amarjit"'
We study a model for flocking given by a $n$-particle system under which each particle jumps forward by a random amount, independently sampled from a given distribution $\theta$, with rate given by a non-increasing function $w$ of its signed distance
Externí odkaz:
http://arxiv.org/abs/2404.13117
Autor:
Atar, Rami, Budhiraja, Amarjit
We consider a continuous-time random walk in the quarter plane for which the transition intensities are constant on each of the four faces $(0,\infty)^2$, $F_1=\{0\}\times(0,\infty)$, $F_2=(0,\infty)\times\{0\}$ and $\{(0,0)\}$. We show that when res
Externí odkaz:
http://arxiv.org/abs/2403.00320
Autor:
Budhiraja, Amarjit, Johnson, Dane
We consider a family of resource sharing networks, known as bandwidth sharing models, in heavy traffic with general service and interarrival times. These networks, introduced in Massoulie and Roberts (2000) as models for internet flows, have the feat
Externí odkaz:
http://arxiv.org/abs/2312.14982
Dynamic capacity allocation control for resource sharing networks (RSN) is studied when the networks are in heavy traffic. The goal is to minimize an ergodic cost with a linear holding cost function. Our main result shows that the optimal cost associ
Externí odkaz:
http://arxiv.org/abs/2312.14411
The infinite Atlas model describes the evolution of a countable collection of Brownian particles on the real line, where the lowest particle is given a drift of $\gamma \in [0,\infty)$. We study equilibrium fluctuations for the Atlas model when the s
Externí odkaz:
http://arxiv.org/abs/2310.04545
Let $\Delta^o$ be a finite set and, for each probability measure $m$ on $\Delta^o$, let $G(m)$ be a transition probability kernel on $\Delta^o$. Fix $x_0 \in \Delta^o$ and consider the chain $\{X_n, \; n \in \mathbb{N}_0\}$ of $\Delta^o$-valued rando
Externí odkaz:
http://arxiv.org/abs/2304.01384
Consider a system with $K$ parallel queues in which the server for each queue processes jobs at rate $n$ and the total arrival rate to the system is $nK-\upsilon \sqrt{n}$ where $\upsilon \in (0, \infty)$ and $n$ is large. We study rank-based routing
Externí odkaz:
http://arxiv.org/abs/2302.10317
Autor:
Banerjee, Sayan, Budhiraja, Amarjit
This article presents a review of some old and new results on the long time behavior of reflected diffusions. First, we present a summary of prior results on construction, ergodicity and geometric ergodicity of reflected diffusions in the positive or
Externí odkaz:
http://arxiv.org/abs/2208.02855
Autor:
Banerjee, Sayan, Budhiraja, Amarjit
\noindent Consider an infinite collection of particles on the real line moving according to independent Brownian motions and such that the $i$-th particle from the left gets the drift $g_{i-1}$. The case where $g_0=1$ and $g_{i}=0$ for all $i \in \ma
Externí odkaz:
http://arxiv.org/abs/2207.08331