On convolution algorithm for normalization constant evaluation in the analysis of resource loss systems with signals

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.