Stochastic queueing-theory approach to human dynamics

Introduction to Queueing Theory and Stochastic Teletraffic Models

The aim of this textbook is to provide students with basic knowledge of stochastic models that may apply to telecommunications research areas, such as traffic modelling, performance evaluation, resource provisioning and traffic management. These research areas are included in a field called teletraffic. This book assumes prior knowledge of a programming language and mathematics normally taught ...

Introduction to Queueing Theory

Simple queueing approach to segregation dynamics in Schelling model

A simple queueing approach for segregation of agents in modi ed one dimensional Schelling segregation model is presented. The goal is to arrive at simple formula for the number of unhappy agents remaining after the segregation. The importance of the original Schelling model of segregation was mainly due to the combination of simplicity and ability to reproduce phenomena observed in sociology. P...

Stochastic approach to DNA breathing dynamics

– We propose a stochastic Gillespie scheme to describe the temporal fluctuations of local denaturation zones in double-stranded DNA as a single molecule time series. It is demonstrated that the model recovers the equilibrium properties. We also study measurable dynamical quantities such as the bubble size autocorrelation function. This efficient computational approach will be useful to analyse ...

Stochastic Dynamics in Game Theory

We introduce a simple stochastic dynamics for game theory. It assumes “local” rationality in the sense that any player climbs the gradient of his utility function in the presence of a stochastic force which represents deviation from rationality in the form of a “heat bath”. We focus on particular games of a large number of players with a global interaction which is typical of economic systems. ...