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Systems Mathematics Lab
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The lab aims to solve a variety of problems using mathematical optimization and algorithms.
AboutAbout the lab
Turning conditions and requirements into equations to find the best answer
The Systems Mathematics Lab carries out a wide range of research on mathematical optimization and algorithms.
Once a model is built that expresses conditions and requirements as equations, an optimization algorithm outputs the best answer.
By devising better models, designing fast algorithms, and combining both approaches, the lab does research aimed at solving problems ranging from engineering to economics and management.
The research page introduces topics such as the stable marriage problem, the simplex method, and railway timetable optimization.
Key terms
- Optimization algorithm
- A computational procedure that outputs the best answer when given a model that expresses conditions and requirements as equations.
- Stable marriage problem
- The problem of pairing members of two groups with each other while taking their mutual preferences into account.
- Simplex method
- One computational method for solving optimization problems.
ResearchResearch themes
The Systems Mathematics Lab carries out a wide range of research on mathematical optimization and algorithms. Its research page lists a broad range of topics, including matching, graphs, railway timetables, and sound and image processing.
*Illustrative imageApproximation Algorithms for the Stable Marriage Problem
The lab considers the question of how to form the largest number of couples at a group blind date (gokon) by using approximation algorithms for the stable marriage problem.
*Illustrative imageGraph Theory and Optimization
Using graph theory, the lab explores algorithms that place nodes so that the number of arc crossings is minimized.
*Illustrative imageNonlinear Global Optimization
The lab works on the question of how to find the point on an n-dimensional umbrella that is closest to the ground.
*Illustrative imageEvaluating the Computational Complexity of the Simplex Method
The lab investigates the computational complexity of the simplex method by evaluating the number of distinct basic solutions it generates.
MembersFaculty
Members of the Systems Mathematics Lab consist of faculty members, doctoral and master's students, and undergraduate students.As of 2025
- Associate ProfessorYoshio Sano
VoicesStudent voices
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “388 King - server room ( )” Mike Beltzner / CC BY-SA 2.0 (cropped)
- Approximation Algorithms for the Stable Marriage Problem: “Red jigsaw puzzle pieces 2” Profpcde / CC0 (cropped)
- Graph Theory and Optimization: “Fukuoka city subway route map EN (2014)” Chihaya Sta / CC BY-SA 3.0 (cropped)
- Nonlinear Global Optimization: “Minimal surface” Daniela_deGol / CC BY 4.0 (cropped)
- Evaluating the Computational Complexity of the Simplex Method: “Torregrotta geodesic dome 2023” Alphacentauri2007 / CC BY-SA 4.0 (cropped)
- Related lab (ブラックボックス最適化研究室): “Server Room Terminals ( )” Jon Parise / CC BY-SA 2.0 (cropped)
- Related lab (応用数理システム研究室): “Engine Control Room Harmony of the Seas 2026” Larry D. Moore / CC BY 4.0 (cropped)
- Related lab (量子計算理論研究室): “Cat Qubit Boson Chip” SachaAB / CC BY 4.0 (cropped)
- Related lab (進化計算研究室): “The Ant Colony” Sudipta1243 / CC BY-SA 4.0 (cropped)
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