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Verification of Real-Time Pricing Systems Based on Probabilistic Boolean Networks

Verification of Real-Time Pricing Systems Based on Probabilistic Boolean Networks
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摘要 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. 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.
作者 Koichi Kobayashi Kunihiko Hiraishi Koichi Kobayashi;Kunihiko Hiraishi(Graduate School of Information Science and Technology, Hokkaido University, Sapporo, Japan;School of Information Science, Japan Advanced Institute of Science and Technology, Ishikawa, Japan)
出处 《Applied Mathematics》 2016年第15期1734-1747,共15页 应用数学(英文)
关键词 Model Checking Probabilistic Boolean Networks Real-Time Pricing Model Checking Probabilistic Boolean Networks Real-Time Pricing
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