Optimal Control of Probabilistic Logic Networks and Its Application to Real-Time Pricing of Electricity

Kobayashi, Koichi; Hiraishi, Kunihiko

Mathematical Problems in Engineering, 2015, 2015, 952310

Permalink : https://hdl.handle.net/2115/60628

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アクセス権	open access
URI	https://hdl.handle.net/2115/60628
タイトル	Optimal Control of Probabilistic Logic Networks and Its Application to Real-Time Pricing of Electricity
著者	著者名 Kobayashi, Koichi
著者	著者名 Hiraishi, Kunihiko
言語	英語
発行日	2015
出版者	Hindawi
収録物名	Mathematical Problems in Engineering
巻(号)	2015
ページ	952310
抄録	In analysis and control of large-scale complex systems, a discrete model plays an important role. In this paper, a probabilistic logic network (PLN) is considered as a discrete model. A PLN is a mathematical model where multivalued logic functions are randomly switched. For a PLN with two kinds of control inputs, the optimal control problem is formulated, and an approximate solution method for this problem is proposed. In the proposed method, using a matrix-based representation for a PLN, this problem is approximated by a mixed integer linear programming problem. In application, real-time pricing of electricity is studied. In real-time pricing, electricity conservation is achieved by setting a high electricity price. A numerical example is presented to show the effectiveness of the proposed method.
資源タイプ	学術雑誌論文
出版タイプ	Version of Record
権利情報	Creative Commons Attribution 4.0 International
PISSN	1024-123X
関連情報 (isIdenticalTo)	出版社版DOI https://doi.org/10.1155/2015/952310