## ■Operations Research Laboratory

S. Shindoh

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Susumu Shindoh

(Professor)

e-mail: shinds01@kanagawa-u.ac.jp

03/1987, Ph.D., Tokyo Institute of Technology

03/1981, M.S., Tokyo Institute of Technology

I. Kuwano

###
Issei Kuwano

(Assistant Professor)

e-mail: kuwano@kanagawa-u.ac.jp

03/2012, Ph.D., Niigata University

03/2009, M.S., Niigata University

#### Research Field

#### Research Overview

#### Research Subjects

- 1.Solution methods for nonlinear optimization problems.
- 2.Optimal portfolios.

#### Introduction:

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.

##### Publications

- 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

S. Shindoh:

Society for Industrial and Applied Mathematics, The Operations Research Society of Japan

I. Kuwano:

The Mathematical Society of Japan, The Operations Research Society of Japan

##### Current members

◯ Professors: 1 | ◯ Assistant Professors: 1 |

◯ Undergraduates: 14 |