Optimal Control of Probabilistic Logic Networks and Its Application to Real-Time Pricing of Electricity
Joint Authors
Hiraishi, Kunihiko
Kobayashi, Koichi
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-07
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Kobayashi, Koichi& Hiraishi, Kunihiko. 2015. Optimal Control of Probabilistic Logic Networks and Its Application to Real-Time Pricing of Electricity. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1075169
Modern Language Association (MLA)
Kobayashi, Koichi& Hiraishi, Kunihiko. Optimal Control of Probabilistic Logic Networks and Its Application to Real-Time Pricing of Electricity. Mathematical Problems in Engineering No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1075169
American Medical Association (AMA)
Kobayashi, Koichi& Hiraishi, Kunihiko. Optimal Control of Probabilistic Logic Networks and Its Application to Real-Time Pricing of Electricity. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1075169
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1075169