Cyclic-type polling models with preparation times

N. Perel, J.L. Dorsman, M. Vlasiou

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

1 Citaat (Scopus)
1 Downloads (Pure)

Samenvatting

We consider a system consisting of a server serving in sequence a fixed number of stations. At each station there is an infinite queue of customers that have to undergo a preparation phase before being served. This model is connected to layered queuing networks, to an extension of polling systems, and surprisingly to random graphs. We are interested in the waiting time of the server. The waiting time of the server satisfies a Lindley-type equation of a non-standard form. We give a sufficient condition for the existence of a limiting waiting time distribution in the general case, and assuming preparation times are exponentially distributed, we describe in depth the resulting Markov chain. We provide detailed computations for a special case and extensive numerical results investigating the effect of the system's parameters to the performance of the server.
Originele taal-2Engels
TitelProceedings of the 2nd International Conference on Operations Research and Enterprise Systems (ICORES 2013, Barcelona, Spain, February 16-18, 2013)
UitgeverijINSTICC Press
Pagina's14-23
ISBN van geprinte versie978-989856540-2
StatusGepubliceerd - 2013

Vingerafdruk Duik in de onderzoeksthema's van 'Cyclic-type polling models with preparation times'. Samen vormen ze een unieke vingerafdruk.

  • Citeer dit

    Perel, N., Dorsman, J. L., & Vlasiou, M. (2013). Cyclic-type polling models with preparation times. In Proceedings of the 2nd International Conference on Operations Research and Enterprise Systems (ICORES 2013, Barcelona, Spain, February 16-18, 2013) (blz. 14-23). INSTICC Press.