On open problems in polling systems

In the present paper we address two open problems concerning polling systems, viz., queueing systems consisting of multiple queues attended by a single server that visits the queues one at a time. The first open problem deals with a system consisting of two queues, one of which has gated service, wh...

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Veröffentlicht in:	Queueing systems 2011-08, Vol.68 (3-4), p.365-374
Hauptverfasser:	Boon, Marko, Boxma, Onno J., Winands, Erik M. M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Arrivals Boundary value problems Business and Management Computer Communication Networks Computer Science Control Customer services Immigration Information systems Mathematics Networking and Internet Architecture Operations Research/Decision Theory Probability Theory and Stochastic Processes Queues Queuing Random variables Servers Studies Supply Chain Management Systems Theory
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Zusammenfassung:	In the present paper we address two open problems concerning polling systems, viz., queueing systems consisting of multiple queues attended by a single server that visits the queues one at a time. The first open problem deals with a system consisting of two queues, one of which has gated service, while the other receives 1-limited service. The second open problem concerns polling systems with general (renewal) arrivals and deterministic switch-over times that become infinitely large. We discuss related, known results for both problems, and the difficulties encountered when trying to solve them.
ISSN:	0257-0130 1572-9443
DOI:	10.1007/s11134-011-9247-9