Optimal feedback production planning in a stochastic N-machine flowshop
Automatica (Journal of IFAC)
Minimax production planning in failure-prone manufacturing systems
Journal of Optimization Theory and Applications
Guaranteed cost control for multi-inventory systems with uncertain demand
Automatica (Journal of IFAC)
Applications of dynamic programming to the control of water resource systems
Automatica (Journal of IFAC)
ETFA'09 Proceedings of the 14th IEEE international conference on Emerging technologies & factory automation
Optimal switches in multi-inventory systems
HSCC'07 Proceedings of the 10th international conference on Hybrid systems: computation and control
On robustness and dynamics in (un)balanced coalitional games
Automatica (Journal of IFAC)
| Hi-index | 22.15 |
In this paper, we consider multi-inventory systems in the presence of uncertain demand. We assume that (i) demand is unknown but bounded in an assigned compact set and (ii) the control inputs (controlled flows) are subject to assigned constraints. Given a long-term average demand, we select a nominal flow that feeds such a demand. In this context, we are interested in a control strategy that meets at each time all possible current demands and achieves the nominal flow in the average. We provide necessary and sufficient conditions for such a strategy to exist and we characterize the set of achievable flows. Such conditions are based on linear programming and thus they are constructive. In the special case of a static flow (i.e. a system with 0-capacity buffers) we show that the strategy must be affine. The dynamic problem can be solved by a linear-saturated control strategy (inspired by the previous one). We provide numerical analysis and illustrative examples.