Electronic Resource
Springer
Journal of optimization theory and applications
100 (1999), S. 575-597
ISSN:
1573-2878
Keywords:
Queueing networks
;
scheduling
;
stability
;
performance evaluation
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We obtain new linear programs for bounding the performance and proving the stability of queueing networks. They exploit the key facts that the transition probabilities of queueing networks are shift invariant on the relative interiors of faces and the cost functions of interest are linear in the state. A systematic procedure for choosing different quadratic functions on the relative interiors of faces to serve as surrogates of the differential costs in an inequality relaxation of the average cost function leads to linear program bounds. These bounds are probably better than earlier known bounds. It is also shown how to incorporate additional features, such as the presence of virtual multi-server stations to further improve the bounds. The approach also extends to provide functional bounds valid for all arrival rates.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1022638523391
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