caa a22 4500 445839694 CHVBK 20180317145340.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s00186-010-0330-5 doi (NATIONALLICENCE)springer-10.1007/s00186-010-0330-5 Queueing systems with pre-scheduled random arrivals [Elektronische Daten] [G. Guadagni, S. Ndreca, B. Scoppola] We consider a point process i+ξ i, where $${i\in \mathbb{Z}}$$ and the ξ i's are i.i.d. random variables with compact support and variance σ 2. This process, with a suitable rescaling of the distribution of ξ i's, is well known to converge weakly, for large σ, to the Poisson process. We then study a simple queueing system with this process as arrival process. If the variance σ 2 of the random translations ξ i is large but finite, the resulting queue is very different from the Poisson case. We provide the complete description of the system for traffic intensity ϱ=1, where the average length of the queue is proved to be finite, and for ϱ<1 we propose a very effective approximated description of the system as a superposition of a fast process and a slow, birth and death, one. We found interesting connections of this model with the statistical mechanics of Fermi particles. This model is motivated by air traffic systems. Springer-Verlag, 2010 Queueing system nationallicence Air-traffic congestion nationallicence Non Poissonian arrivals nationallicence Guadagni G. Department of Mathematics, University of Virginia, Charlottesville, USA aut Ndreca S. Departamento de Matematica, ICEx—UFMG, Belo Horizonte, Brazil aut Scoppola B. Dipartimento di Matematica, Università di Roma "TorVergata”, Roma, Italy aut Mathematical Methods of Operations Research Springer-Verlag 73/1(2011-02-01), 1-18 1432-2994 73:1<1 2011 73 186 https://doi.org/10.1007/s00186-010-0330-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00186-010-0330-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Guadagni G. Department of Mathematics, University of Virginia, Charlottesville, USA aut NATIONALLICENCE 700 1- Ndreca S. Departamento de Matematica, ICEx—UFMG, Belo Horizonte, Brazil aut NATIONALLICENCE 700 1- Scoppola B. Dipartimento di Matematica, Università di Roma "TorVergata”, Roma, Italy aut NATIONALLICENCE 773 0- Mathematical Methods of Operations Research Springer-Verlag 73/1(2011-02-01), 1-18 1432-2994 73:1<1 2011 73 186 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer