Author: Jacob Willem CohenPublisher:
ISBN:
Category :
Languages : en
Pages : 26
Book Description
Heavy-traffic Limit Theorems for the Heavy-tailed Gl/G/1 Queue
Author: Jacob Willem CohenHeavy-traffic Limit Theorems for the Heavy-tailed GI/G/1 Queue
Author: Jacob Willem CohenWeak Convergence Theorems for Queues in Heavy Traffic
Author: Ward WhittPublisher:
ISBN:
Category : Queuing theory
Languages : en
Pages : 436
Book Description
Limit theorems are proved for unstable queueing systems. The GI/G/1 queue is the primary concern, but the theorems apply to more general systems in which the various independence assumptions are relaxed. Bulk queues, queues with several servers (GI/M/s), queues with a finite waiting room, and dams are also discussed. (Author).
Heavy-traffic Theory for the Heavy-tailed M/G/1 Queue and V-stable Lévy Noise Traffic
Author: Jacob Willem CohenFunctional Limit Theorems for the Queue GI/G/1 in Light Traffic
Author: Stanford University. Department of Operations ResearchPublisher:
ISBN:
Category :
Languages : en
Pages : 28
Book Description
A GI/G/1 queueing system in light traffic has the property of returning to the idle state infinitely often. The purpose of the paper is to exploit this property to develop limit theorems for several processes generated by this system. The principal processes of interest are the following: W sub n, the waiting time of the nth customer; Q(t), the number of customers in the system at time t; W(t), the virtual waiting time at time t; B(t), the amount of time the server is busy in (O, t); I(t), the amount of tie the server is idle in (O, t); and D(t), the cumulative number of customers departing the system in (O, t).
A Heavy-traffic Theorem for the GI/G/1 Queue with a Pareto-type Service Time Distribution
Author: Jacob Willem CohenStochastic-Process Limits
Author: Ward WhittPublisher: Springer Science & Business Media
ISBN: 0387217487
Category : Mathematics
Languages : en
Pages : 616
Book Description
From the reviews: "The material is self-contained, but it is technical and a solid foundation in probability and queuing theory is beneficial to prospective readers. [... It] is intended to be accessible to those with less background. This book is a must to researchers and graduate students interested in these areas." ISI Short Book Reviews
Heavy traffic limits for multiphase queues
Author: Fridrikh Izrailevich Karpelevich A. Ya KreĭninPublisher: American Mathematical Soc.
ISBN: 9780821897546
Category : Mathematics
Languages : en
Pages : 170
Book Description
A Limit Theorem for Priority Queues in Heavy Traffic
Author: J. Michael HarrisonPublisher:
ISBN:
Category :
Languages : en
Pages : 21
Book Description
A single server, two priority queueing system is studied under the heavy traffic condition where the system traffic intensity is either at or near its critical value. An approximation is developed for the transient distribution of the low priority customers' virtual waiting time process. This result is stated formally as a limit theorem involving a sequence of systems whose traffic intensities approach the critical value. (Author).
A New View of the Heavy-traffic Limit Theorem for Many-server Queues
Author: Glynn, Peter WPublisher:
ISBN:
Category : Limit theorems (Probability theory)
Languages : en
Pages : 34
Book Description