Structural Control of Probabilistic Boolean Networks and Its Application to Design of Real-Time Pricing Systems
نویسندگان
چکیده
In this paper, a new control method for a probabilistic Boolean network (PBN) is proposed. A PBN is widely used as a model of complex systems such as gene regulatory networks. For a PBN, the structural control problem is newly formulated. In this problem, a discrete probability distribution appeared in a PBN is controlled by the continuous-valued input. In the proposed solution method, using a matrix-based representation for a PBN, the problem is approximated by a linear programming problem. Furthermore, design of real-time pricing systems of electricity is considered as an application. By appropriately designing realtime pricing systems, electricity conservation is achieved. The effectiveness of the proposed method is presented by a numerical example on real-time pricing systems.
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