Jackson networks in nonautonomous random environments

Publikation: Beiträge in ZeitschriftenZeitschriftenaufsätzeForschungbegutachtet

Authors

We investigate queueing networks in a random environment. The impact of the evolving environment on the network is by changing service capacities (upgrading and/or degrading, breakdown, repair) when the environment changes its state. On the other side, customers departing from the network may enforce the environment to jump immediately. This means that the environment is nonautonomous and therefore results in a rather complex two-way interaction, especially if the environment is not itself Markov. To react to the changes of the capacities we implement randomised versions of the well-known deterministic rerouteing schemes 'skipping' (jump-over protocol) and `reflection' (repeated service, random direction). Our main result is an explicit expression for the joint stationary distribution of the queue-lengths vector and the environment which is of product form.
OriginalspracheEnglisch
ZeitschriftAdvances in Applied Probability
Jahrgang48
Ausgabenummer2
Seiten (von - bis)315–331
Anzahl der Seiten17
ISSN0001-8678
DOIs
PublikationsstatusErschienen - 06.2016
Extern publiziertJa

    Fachgebiete

  • Mathematik - Randomised random walks, Jackson network, skipping, processes in random environment, reflection, product form steady state, breakdown of nodes, degrading services, speed-up of service
  • Informatik - Jackson network, breakdown of nodes

DOI

Zuletzt angesehen

Forschende

  1. Franziska Stallmann

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