Chapter 15 Distribution policies

Publisher Summary This chapter presents a solution that can be adopted when the algorithms based on SDP are caused by the dimension of the control vector. It introduces the idea upon which this solution is based with an example: consider the water system S, in which a reservoir, affected by flooding on the shores, feeds a distribution network D composed of two irrigation districts, two diversions and a stretch of river, whose environmental quality is threatened by the two diversions. In total, one must fix three controls at every time instant. It takes about 73 years of computation to determine the regulation policy for a system with the complexity of the Piave system. This means that, with today's machines, that policy cannot be designed. If, however, the system were deterministic, the disaggregated procedure would allow designing the policy in just seven hours. Such a policy would certainly not be optimal, because the system is actually random, but it is certainly better than trusting the decision solely to the intuition of the Regulator.