Computation of the limiting distribution in queueing systems with repeatedattempts and disasters

Citation
Jr. Artalejo et A. Gomez-corral, Computation of the limiting distribution in queueing systems with repeatedattempts and disasters, RAIRO RE OP, 33(3), 1999, pp. 371-382
Citations number
22
Categorie Soggetti
Engineering Mathematics
Journal title
RAIRO-RECHERCHE OPERATIONNELLE-OPERATIONS RESEARCH
ISSN journal
03990559 → ACNP
Volume
33
Issue
3
Year of publication
1999
Pages
371 - 382
Database
ISI
SICI code
0399-0559(1999)33:3<371:COTLDI>2.0.ZU;2-E
Abstract
Single server queues with repeated attempts are useful in the modeling of c omputer and telecommunication systems. In addition, we consider iii this pa per the possibility of disasters. When a disaster occurs, all the customers present in the sq stein are destroyed immediately. Using a regenerative ap proach, we derive a numerically stable recursion scheme for the stare proba bilities. This model can be employed to analyze the behaviour of a buffer i n computers with virus infections.