Some markovian queuing retrial systems under light-traffic conditions
Cybernetics and Systems Analysis
876 - 887
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Please cite this item using this persistent URLhttp://hdl.handle.net/11693/24782
The asymptotic behavior of the time of the first loss of a demand in Markovian single-channel and multichannel queuing retrial systems with a finite buffer and an external Markovian environment is analyzed. Two cases are studied: (a) the ratio of the input rate to the service rate tends to zero and (b) the ratio of the input rate to the service rate and the ratio of the input rate to the retrial rate tend to zero simultaneously. The method of so-called S-sets and the concept of a monotone stntcture introduced by Anisimov are used to prove the exponential approximation of the time of the first call loss and Poisson approximation of a flow of lost demands for both cases. ©2001 Plenum Publishing Corporation.
- Work in Progress 701