Decomposition results for stochastic storage processes and queues with alternating Lévy inputs

Decomposition results for stochastic storage processes and queues with alternating Lévy inputs

In this paper we generalize known workload decomposition results for Lévy queues with secondary jump inputs and queues with server vacations or service interruptions. Special cases are polling systems with either compound Poisson or more general Lévy inputs. Our main tools are new martingale results...

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Veröffentlicht in:Queueing systems 2014-05, Vol.77 (1), p.97-112
Hauptverfasser: Boxma, Onno, Kella, Offer
Format: Artikel
Sprache:eng
Schlagworte:
Business and Management
Computer Communication Networks
Control
Decomposition
Hypotheses
Interruption
Martingales
Operations Research/Decision Theory
Probability Theory and Stochastic Processes
Queues
Queuing
Queuing theory
Servers
Stochastic processes
Stochasticity
Studies
Supply Chain Management
Systems Theory
Vacations
Workload
Workloads
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Beschreibung
Zusammenfassung:In this paper we generalize known workload decomposition results for Lévy queues with secondary jump inputs and queues with server vacations or service interruptions. Special cases are polling systems with either compound Poisson or more general Lévy inputs. Our main tools are new martingale results, which have been derived in a companion paper.
ISSN:0257-0130
1572-9443
DOI:10.1007/s11134-013-9378-2