Optimal hysteretic control for a BMAP/SM/1/N queue with two operation modes

Authors
Dudin, AN Nishimura, S
Citation
An. Dudin et S. Nishimura, Optimal hysteretic control for a BMAP/SM/1/N queue with two operation modes, MATH PROB E, 5(5), 2000, pp. 397-419
Citations number
17
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICAL PROBLEMS IN ENGINEERING
ISSN journal
1024123X → ACNP
Volume
5
Issue
5
Year of publication
2000
Pages
397 - 419
Database
ISI
SICI code
1024-123X(2000)5:5<397:OHCFAB>2.0.ZU;2-D
Abstract
We consider BMAP/SM/1 type queueing system with finite buffer of size N. Th e system has two operation modes, which are characterized by the matrix gen erating function of BMAP-input, the kernel of the semi-Markovian service pr ocess, and utilization cost. An algorithm for determining the optimal hyste resis strategy is presented.