Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Thursday, July 21, 2005, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: Masashi Kiyomi (National Institute of Informatics (NII)

Efficient Algorithms for the Electric Power Transaction Problem

We present two efficient algorithms for solving the electric power transaction problem. The electric power transaction problem appears when maximizing the social benefit on electric power transactions between some companies. The problem is a special case of the minimum cost flow problem; on a network with few vertices with degrees at least two, and many vertices with degrees one. Our first algorithm is based on the minimum cycle canceling algorithm and the second algorithm uses a linear time median finding algorithm. On a network having n vertices with k vertices of degrees more than one, the first algorithm finds an optimal solution in O(n log n k⁶ log(kC)) time, where C is the highest electric power price per unit that the companies may offer. The second algorithm takes O((n+k⁴)2^kk!) time, which is linear in n. In practice, k is small and n is very large, hence these algorithms are efficient compared to the other network flow algorithms.

Upcoming talks     |     All previous talks     |     Talks by speaker     |     Upcoming talks in iCal format (beta version!)

Previous talks by year:   2024  2023  2022  2021  2020  2019  2018  2017  2016  2015  2014  2013  2012  2011  2010  2009  2008  2007  2006  2005  2004  2003  2002  2001  2000  1999  1998  1997  1996  

Information for students and suggested topics for student talks

Automatic MiSe System Software Version 1.4803M   |   admin login