Skip to content

Opening book details…

Can I read Stationary Queue-length Characteristics in Queues with Delayed Feedback on EtoBox?

Stationary Queue-length Characteristics in Queues with Delayed Feedback by König, Dieter; Schmidt, Volker is a Mathematics article available to read on EtoBox.

What is Stationary Queue-length Characteristics in Queues with Delayed Feedback about?

A class of two-node queueing networks with general stationary ergodic governing sequence is considered. This means that, in particular, a non-Poissonian arrival process and dependent service times, as well as a non-Bernoulli feedback mechanism are admitted. A mixing condition ensures that the limiting distributions of the number of customers in the nodes observed in continuous time as well as at certain embedded epochs can be expressed by the Palm distributions of appropriately chosen marked point processes. This gives the possibility of connecting the classical concept of embedding with a general point-process approach. Furthermore, it leads to simple proofs of relationships between the limiting distributions. An example is given to illustrate how these relationships can be used to derive explicit formulas for various stationary queueing characteristics.

Who reads Stationary Queue-length Characteristics in Queues with Delayed Feedback?

It is typically read by researchers, students, and practitioners in Mathematics.

Author
König, Dieter; Schmidt, Volker
Publisher
Applied Probability Trust; Cambridge University Press; Cambridge University Press (CUP) (ISSN 0021-9002)
Published
1985
Language
EN
Field
Mathematics (Physical Sciences)

More by König, Dieter; Schmidt, Volker

Browse all works by König, Dieter; Schmidt, Volker