Author(s)

Koichi Kobayashi^1*, Kunihiko Hiraishi²

¹Graduate School of Information Science and Technology, Hokkaido University, Sapporo, Japan.
²School of Information Science, Japan Advanced Institute of Science and Technology, Ishikawa, Japan.

In this paper, verification of real-time pricing systems of electricity is considered using a probabilistic Boolean network (PBN). In real-time pricing systems, electricity conservation is achieved by manipulating the electricity price at each time. A PBN is widely used as a model of complex systems, and is appropriate as a model of real-time pricing systems. Using the PBN-based model, real-time pricing systems can be quantitatively analyzed. In this paper, we propose a verification method of real-time pricing systems using the PBN-based model and the probabilistic model checker PRISM. First, the PBN-based model is derived. Next, the reachability problem, which is one of the typical verification problems, is formulated, and a solution method is derived. Finally, the effectiveness of the proposed method is presented by a numerical example.

Model Checking, Probabilistic Boolean Networks, Real-Time Pricing

Kobayashi, K. and Hiraishi, K. (2016) Verification of Real-Time Pricing Systems Based on Probabilistic Boolean Networks. Applied Mathematics, 7, 1734-1747. doi: 10.4236/am.2016.715146.