Program/Track B-1/B-1.1/On convolution algorithm for normalization constant evaluation in the analysis of resource loss systems with signals
On convolution algorithm for normalization constant evaluation in the analysis of resource loss systems with signals
Alexander Maslov, Eduard Sopin
15m
Resource loss systems with signals, in which arrival of a signal triggers
resource reallocation of a customer, are often used in the performance analysis of
the contemporary mobile networks, especially those that utilize high-frequency
bands. In the paper, we consider the random process that describe the behavior
of a resource loss system and derive stationary distribution of the Markov chain
embedded at the departure instants. Besides, we propose a convolution algorithm
for evaluation of the normalization constant.