Lack of Invariant Property of the Erlang Loss Model in Case of MAP Input
Queueing Systems: Theory and Applications
The MAP + MAP/PH/1/N queuing system with single and batch arrivals of customers
Automation and Remote Control
The MAP/M/N retrial queueing system with time-phased batch arrivals
Problems of Information Transmission
The servicing system MAP(PH)+MAP/PH/N/R as a model of optimizing an HTTP server with blockings
Automation and Remote Control
A queueing system with batch arrival of customers in sessions
Computers and Industrial Engineering
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A novel multi-server queueing model with finite buffer and batch arrival of customers is considered. In contrast to the standard batch arrival when a whole batch arrives into the system at one epoch, we assume that the customers of a batch arrive one by one in exponentially distributed times. Service time is exponentially distributed. Flow of batches is the stationary Poisson arrival process. Batch size distribution is geometric. The number of batches, which can be admitted into the system simultaneously, is subject of control. The problem of maximizing the throughput of the system under the fixed value of the admissible probability of losing the arbitrary customer from admitted batch is considered. Analysis of the joint distribution of the number of batches and customers in the system and sojourn time distribution is implemented by means of the matrix technique and method of catastrophes.