■Operations Research Laboratory
03/1987, Ph.D., Tokyo Institute of Technology
03/1981, M.S., Tokyo Institute of Technology
03/2012, Ph.D., Niigata University
03/2009, M.S., Niigata University
- 1.Solution methods for nonlinear optimization problems.
- 2.Optimal portfolios.
Operations research uses mathematical and computational techniques to improve the efficiency and decision-making of numerous companies and organizations.
Let’s consider the following simplified diet problem as an example. There are two different foods: milk and tomato. The nutritional values of milk and tomato are displayed in Table 1. The objective is to find a minimum calorie diet with milk and tomatoes that contains at least 55 g of protein and not less than 600 mg of calcium. We can model the problem as a linear program and solve it with linear program solvers to obtain a reasonable solution for a diet.
The students in our laboratory study the following areas.
・ Mathematics, including probability, statistics, and optimization, necessary for modeling problems.
・ Computer languages, such as C and Java, for simulations.
Many graduates from our laboratory work in IT and related companies.
- 1) M. Kojima S. Shindoh, K. Nakata, S. Hara, K. Fujisawa, S. Mizuno, M. Yamashita, A. Yoshise, The 2003 Funai Information Technology Prize, Funai Foundation for Information Technology.
- 2) S. Shindoh, “Some properties of homogeneous mappings defined on the sets of nonnegative matrices,” RIMS Kokyuroku, vol. 1879, pp. 44–47 (2014).
- 3) S. Shindoh, “Some problems related to f-divergences,” RIMS Kokyuroku, vol. 1829, pp. 19–22 (2013).
- 4) I. Kuwano, “Some minimax theorems of set-valued maps and their applications,” Nonlinear Analysis, vol. 109, pp. 85–102 (2014).
- 5) I. Kuwano, “Continuity of cone-convex functions,” Optimization Letters, vol. 6, pp. 1847–1853 (2012).
- 6) I. Kuwano, “Unified scalarization for sets and set-valued Ky Fan minimax inequality,” Journal of Nonlinear and Convex Analysis, vol. 11, pp. 513–525 (2010).
Affiliated Academic Organizations
Society for Industrial and Applied Mathematics, The Operations Research Society of Japan
The Mathematical Society of Japan, The Operations Research Society of Japan
|◯ Professors: 1||◯ Assistant Professors: 1|
|◯ Undergraduates: 14|