The paper presents mathematical model of multi-period inventory management system with stochastic demands and two-switch synchronous control with two thresholds. The control is realized as changing the intensities of the input and output product flows depending on the amount of the accumulated resource in the system. An explicit expression for probability density function of inventory level is found for this system. Also, an example of applying the inventory management models to analysis of cloud computer service is suggested in the paper. Finally, some numerical examples are given to illustrate the obtained results.
Distributed computer and communication networks : 21st International Conference, DCCN 2018, Moscow, Russia, September 17-21, 2018 : proceedings. Cham, 2018. P. 212-223