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Optimal Control of Probabilistic Logic Networks and Its Application to Real-Time Pricing of Electricity
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| Title: | Optimal Control of Probabilistic Logic Networks and Its Application to Real-Time Pricing of Electricity |
| Authors: | Kobayashi, Koichi Browse this author | | Hiraishi, Kunihiko Browse this author |
| Issue Date: | 2015 |
| Publisher: | Hindawi |
| Journal Title: | Mathematical Problems in Engineering |
| Volume: | 2015 |
| Start Page: | 952310 |
| Publisher DOI: | 10.1155/2015/952310 |
| Abstract: | 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. |
| Rights: | http://creativecommons.org/licenses/by/4.0/ |
| Type: | article |
| URI: | http://hdl.handle.net/2115/60628 |
| Appears in Collections: | 情報科学院・情報科学研究院 (Graduate School of Information Science and Technology / Faculty of Information Science and Technology) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 小林 孝一
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