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Systems Mathematics Lab
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The lab searches for the best answers to a wide range of problems using mathematical optimization and algorithms.
AboutAbout the lab
Finding the best answer with optimization algorithms.
The Systems Mathematics Lab conducts a wide range of research on mathematical optimization and algorithms.
An optimization algorithm is a procedure that takes a model expressing conditions and requirements as mathematical formulas as input and outputs the best answer.
By devising models that can be processed efficiently and by designing new fast algorithms, the lab tackles problems ranging from engineering to economics and management.
Key terms
- Optimization algorithm
- A procedure that takes a model expressing conditions and requirements as mathematical formulas as input and outputs the best answer
- Stable marriage problem
- The problem of forming pairs between two groups while taking each side's preferences into account. The lab's website illustrates it with the example of a group date
- Simplex method
- A method for solving optimization problems. This lab studies the number of basic solutions it generates
ResearchResearch themes
The lab aims to solve a wide range of problems by designing optimization algorithms and devising models that can be processed efficiently. The research page presents the work as questions on topics such as the marriage problem, graphs, train timetables, and PET image reconstruction.
*Illustrative imageApproximation Algorithms for the Stable Marriage Problem
The lab takes on the question of which algorithm produces the most couples at a group date (gokon). It studies approximation algorithms for the stable marriage problem.
*Illustrative imageGraph Theory and Optimization
The lab looks for algorithms that place nodes so as to minimize the number of arc crossings in a graph. The theme combines graph theory and optimization.
*Illustrative imageNonlinear Global Optimization
The lab addresses the question of how to find the point on an n-dimensional umbrella that is closest to the ground. The theme concerns nonlinear global optimization.
*Illustrative imageEvaluating the Computational Complexity of the Simplex Method
The lab evaluates the computational complexity of the simplex method through the question of how many distinct basic solutions it generates.
MembersFaculty
The members of the Systems Mathematics Lab consist of faculty and students in the doctoral program, the master's program, and the undergraduate program.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: “Shipping container - Port of Rotterdam - 2017 - 3” AgainErick / CC BY-SA 4.0 (cropped)
- Approximation Algorithms for the Stable Marriage Problem: “Red jigsaw puzzle pieces 2” Profpcde / CC0 (cropped)
- Graph Theory and Optimization: “Transit Network Map of Tangerang” FarhanSyafiqF / CC BY 4.0 (cropped)
- Nonlinear Global Optimization: “Abacus Kit” Manju Thilagavathi / CC0 (cropped)
- Evaluating the Computational Complexity of the Simplex Method: “Uniform polytope 3,3,3,3,3,3 t0” Trilelea / CC BY-SA 3.0 (cropped)
- Related lab (Computer Algebra Lab): “Computer algebra system” MalteFilmFan / CC BY-SA 4.0 (cropped)
- Related lab (Mathematical Engineering Lab): “Robot Brain Surgeon GPN” NASA / Public domain (cropped)
- Related lab (Cryptography, Puzzles, and Games Lab): “Playing Cards Spread” Revisorius / CC BY-SA 4.0 (cropped)
- Related lab (Applied Mathematical Systems Lab): “Wind turbine in full 01” Lauri Veerde / CC BY-SA 4.0 (cropped)
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