The network probability model of one-type customer requests processing in an insurance company

The subject of this paper is the stochastic model of client requests processed by an insurance company. The model takes into account the limited duration of insurance contracts and the dependence on time of requests service rate. A closed exponential queueing network with single-type messages is used as the model. The goal of the study is to solve the problem of finding the optimal number of employees of the insurance company on certain time intervals. The study is conducted in the asymptotic case of high network load. The results of this paper could be applied to optimize the functioning of insurance companies.