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DSM relay control of logistic networks under delayed replenishments and uncertain demand

The paper investigates relay-type control of goods distribution systems organized in a networked structure. Unlike the majority of earlier approaches, mesh network configuration is permitted and goods trans-shipments are realized with non-negligible time delay. Each node is subjected to external, a priori unknown demand treated as a disturbance from the control system perspective. In order to provide stable and robust system performance, discrete-time sliding-mode (DSM) control is considered. A new, networked, relay-type strategy is formulated and compared with the classical (r, Q) inventory policy. The control system properties are formally proved and illustrated in numerical tests.