Dynamic flow control in a queuing system subject to intermittent breakdowns

Authors
Haqiq, A Mikou, N
Citation
A. Haqiq et N. Mikou, Dynamic flow control in a queuing system subject to intermittent breakdowns, RAIRO RE OP, 33(1), 1999, pp. 69-86
Citations number
15
Categorie Soggetti
Engineering Mathematics
Journal title
RAIRO-RECHERCHE OPERATIONNELLE-OPERATIONS RESEARCH
ISSN journal
03990559 → ACNP
Volume
33
Issue
1
Year of publication
1999
Pages
69 - 86
Database
ISI
SICI code
0399-0559(1999)33:1<69:DFCIAQ>2.0.ZU;2-8
Abstract
We consider two parallel M/M/1 queues. The serve, at one of the queues is s ubject to intermittent breakdowns. By the theory of dynamic programming, we determine a threshold optimal policy which consists to transfer; when it i s necessary, the customers that arrive at the first queue towards the secon d queue in order to minimize an instantaneous cost depending of the two que ue lengths.