Journal ArticleDOI
Introduction to the Theory of Queues.
G. F. Newell,Lajos Takács +1 more
Reads0
Chats0
About:
This article is published in American Mathematical Monthly.The article was published on 1963-05-01. It has received 1042 citations till now. The article focuses on the topics: Fork–join queue & Queue.read more
Citations
More filters
Book ChapterDOI
Some Problems in Finite Queues
TL;DR: Computationally convenient analytic methods are developed for the analysis of two classes of finite queueing systems with arrivals with Poisson properties, general state dependent service time distribution and a single server.
Journal ArticleDOI
On mixing rate and convegence to stationary regime in discrete time Erlang problem
TL;DR: Sufficient conditions for polynomial convergence rate to the stationary regime and beta-mixing for some classes of ergodic discrete time birth-death processes are established in this article, where the convergence rate is defined as the sum of the probability that the process dies and the probability of the process surviving.
Journal ArticleDOI
Estimating mean particle diameter in free-fall granular particle flow using a Poisson model in space
TL;DR: In this paper, the mean diameter of particles in a free-falling flow regime was estimated using a combination of theory and measurements, where the model used to calculate the diameter estimate was based on the assumption that the flow forms a Poisson process, where particles arrive at a time-of-flight sensor independently in space.
Rate of convergence to stationarity of the system $M/M/N/N+R$
van Doorn,A Erik +1 more
TL;DR: In this paper, the authors consider the convergence to stationarity of the number of customers in the system, and study its behaviour as a function of the arrival rate of the customers.
Journal ArticleDOI
On the busy period of a multichannel Markovian queue
O.P. Sharma,A. M. K. Tarabia +1 more
TL;DR: For a multichannel Markovian queue with infinite waiting space, the density function of the busy period can be obtained in series form by using simple induction as mentioned in this paper, which can be used to find easily the moment of the length of the -channel busy period of any arbitrary order in an explicit form.