CRITIQUEUE

Critical queues and reflected stochastic processes

Coordinatore	TECHNISCHE UNIVERSITEIT EINDHOVEN    more Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie.
Nazionalità Coordinatore	Netherlands [NL]
Totale costo	970˙800 €
EC contributo	970˙800 €
Programma	FP7-IDEAS-ERC Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
Code Call	ERC-2010-StG_20091028
Funding Scheme	ERC-SG
Anno di inizio	2010
Periodo (anno-mese-giorno)	2010-08-01   -   2016-07-31

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	TECHNISCHE UNIVERSITEIT EINDHOVEN  Organization address address: DEN DOLECH 2 city: EINDHOVEN postcode: 5612 AZ contact info Titolo: Mr. Nome: Patrick D.M. Cognome: Groothuis Email: send email Telefono: +31 40 2475165 Fax: +31 40 2466685	NL (EINDHOVEN)	hostInstitution	970˙800.00
2	TECHNISCHE UNIVERSITEIT EINDHOVEN  Organization address address: DEN DOLECH 2 city: EINDHOVEN postcode: 5612 AZ contact info Titolo: Prof. Nome: Johannes S.H. Cognome: Van Leeuwaarden Email: send email Telefono: +31 6 26556154 Fax: +31 40 2436685	NL (EINDHOVEN)	hostInstitution	970˙800.00

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 Obiettivo del progetto (Objective)

'Our primary motivation stems from queueing theory, the branch of applied probability that deals with congestion phenomena. Congestion levels are typically nonnegative, which is why reflected stochastic processes arise naturally in queueing theory. Other applications of reflected stochastic processes are in the fields of branching processes and random graphs. We are particularly interested in critically-loaded queueing systems (close to 100% utilization), also referred to as queues in heavy traffic. Heavy-traffic analysis typically reduces complicated queueing processes to much simpler (reflected) limit processes or scaling limits. This makes the analysis of complex systems tractable, and from a mathematical point of view, these results are appealing since they can be made rigorous. Within the large body of literature on heavy-traffic theory and critical stochastic processes, we launch two new research lines: (i) Time-dependent analysis through scaling limits. (ii) Dimensioning stochastic systems via refined scaling limits and optimization. Both research lines involve mathematical techniques that combine stochastic theory with asymptotic theory, complex analysis, functional analysis, and modern probabilistic methods. It will provide a platform enabling collaborations between researchers in pure and applied probability and researchers in performance analysis of queueing systems. This will particularly be the case at TU/e, the host institution, and at the affiliated institution EURANDOM.'