Abstract. The problem of determining the exact characteristics of demands entering as a lot (group) into system with radial structure is investigated. The consideration accounts for the inhomogeneity of processing modules and temporal transitions determined by the specifics of the common resource (transport robot) activity. The problem is solved by drawing up a system of time event equations that reflect the transition times of demands from one module to another, in the class of backward sequence dispatching discipline. A method for calculating the characteristics of the cluster is developed. The characteristics include the time of the first delay, the cycle of demands, the number of demands in the lot group with the account for reconfiguration of the cluster and the planned restrictions on the time of the lot.

Keywords: radial cluster, service system, first delay time, application cycle time, lot cycle time, cyclic maintenance, transition time

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