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Shioura Lab
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The lab solves problems in management and economics with mathematical methods and algorithms.
AboutAbout the lab
Tackling management and economic problems with mathematics and algorithms.
The Shioura Lab conducts research on solving a wide range of management and economic problems with mathematical methods and algorithms.
Professor Shioura studies discrete convex analysis, a theory of discrete optimization, and its algorithms.
The lab also works on applications to other fields, such as operations research and economics.
Past undergraduate and graduate research has dealt with methods for solving problems such as production planning, scheduling, delivery routing, and auctions.
Key terms
- Discrete convex analysis
- A theory that brings the idea of convexity into optimization problems with discrete values so that they can be solved efficiently
- Combinatorial optimization
- The problem of choosing the best option that satisfies given conditions from among a large number of combinations or orderings
- Algorithm
- A procedure or set of computational rules used when having a computer carry out a task
ResearchResearch themes
The Shioura Lab's research areas are the theory of combinatorial optimization, mathematical optimization, operations research, and the theory of algorithms. It studies discrete convex analysis, a theory and set of algorithms for discrete optimization, and is also interested in applications to operations research and economics.
*Illustrative imageOptimal Job Assignment and Scheduling
Deciding which jobs to assign to factory machines or computers, and in what order, so that everything finishes as early as possible is a familiar but difficult problem. Using network flow theory, the lab studies how to assign jobs that can be interrupted and jobs whose processing times can be changed.
*Illustrative imageOptimization with Discrete Convex Functions
Even for problems that take only discrete values, well-behaved "discrete convex" functions allow optimal solutions to be found efficiently. The lab extends this property to broader classes of functions and applies it to areas such as the valuation of buying and selling multiple items together.
MembersFaculty
The members of the Shioura Lab are faculty and master's and undergraduate students.As of 2026
- ProfessorAkiyoshi ShiouraPublications ↗
- Assistant ProfessorNobutaka ShimizuPublications ↗
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: “Container Stacking, Port Of Onehunga” Ingolfson / Public domain (cropped)
- Optimal Job Assignment and Scheduling: “Hillman Avenger production line at Coventry Motor Museum” Ben Sutherland from Forest Hill, London, European Union / CC BY 2.0 (cropped)
- Optimization with Discrete Convex Functions: “Tuna auction at Tsukiji Fish Market, Tokyo; 2014” Joe deSousa / CC0 (cropped)
- Related lab (松井研究室): “Simplex-method-3-dimensions” User:Sdo / CC BY-SA 3.0 (cropped)
- Related lab (中田研究室): “Train headway diagram ja” Tam0031 / CC BY-SA 3.0 (cropped)
- Related lab (福田研究室): “Chess pieces close up” Aaaatu / CC BY-SA 4.0 (cropped)
- Related lab (河﨑研究室): “Go” Dietmar Rabich / CC BY-SA 4.0 (cropped)
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