Abstract. Markov models of queuing-inventory systems with two types of customers are proposed. In these systems, two kinds of replenishment policies are used: policies with fixed and variable size of order. High-priority customers have no access constraints while low-priority customers are accepted if the total number of customers in the system is less than a given threshold. Methods are developed to calculate performance measures of the systems under study and problems of their optimization are solved. Results of the numerical experiments are shown.
Keywords: conveyor, queuing-inventory system, replenishment policy, customers of different types, calculation method, optimization.