Abstract:
The research of queuing model with controlled semi-Markov batch flow is carried out. CBSMAO-flow is a generalization of BMAP-flow. Several alternative designs of a control set are considered. The income functional is constructed on trajectories of a controlled semi-Markov process. Two theorems are proven about the structure of the cumulative income functional for the novel queuing model under consideration.
Keywords:theory of queuing models, controlled semi-Markov process, controlled semi-Markov arrival flow, income functional, optimization.
UDC:
51-7, 519.2, 519.8 BBK:
22.171
Received: April 29, 2015 Published: September 30, 2015