Automation and Remote Control
A vacation queue with setup and close-down times and batch Markovian arrival processes
Performance Evaluation
Lack of Invariant Property of the Erlang Loss Model in Case of MAP Input
Queueing Systems: Theory and Applications
Queueing model with time-phased batch arrivals
ITC20'07 Proceedings of the 20th international teletraffic conference on Managing traffic performance in converged networks
The servicing system MAP(PH)+MAP/PH/N/R as a model of optimizing an HTTP server with blockings
Automation and Remote Control
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The single-server queuing system with finite buffer was considered. The customers may arrive one-by-one or in batches. Arrivals of single customers and their batches obey the Markov input processes. The customers from a batch taken for servicing come one at a time at the exponentially distributed time intervals. The numbers of customers in batches are distributed geometrically. The time of customer servicing has a phase-type distribution. The numbers of batches and single customers that may be simultaneously accepted by the system are controllable parameters. The joint distribution of the number of batches and the number of customers in system, loss probabilities, distribution of the time of batch sojourn, and problems of optimization were analyzed.