ToolPrototype
Gradient Descent Visualiser
Watch optimisation move across a loss landscape.
Beauty in maths topic
Operations Research
Operations research uses mathematical models to choose routes, allocate resources, schedule work and make better decisions under constraints.
4
live pages
1
prototype tools
4
planned ideas
What this area includes
Linear programming and feasible regions
Routing problems and the travelling salesperson problem
Scheduling, bottlenecks and resource allocation
Network flow, capacity and transport problems
Links to optimisation, graph theory and environmental decision making
Questions to explore
What is the objective, and what are the constraints?
When is the perfect solution too expensive to find?
How good is a good-enough strategy?
Working pages and tools
These are the pages currently available to open from this topic.
Planned directions
These ideas are not built yet, but they show where this topic could grow next.
ideaPlanned
Linear Programming Lab
Planned visualiser for constraints, feasible regions, objective functions and optimal choices.
ideaPlanned
Travelling Salesperson
Planned routing challenge comparing brute force, nearest neighbour and improvement heuristics.
ideaPlanned
Scheduling Optimiser
Planned tool for timetables, dependencies, bottlenecks and making limited resources work.
ideaPlanned
Network Flow Optimisation
Planned page for max flow, min cut, transport networks and capacity constraints.
Connected topics
themeLive
Beauty in Maths
A portal for connected mathematical explorations: pattern, surprise, structure, nature and emergence.
themeLive
Game Theory and Decisions
Strategy, cooperation, competition, voting, incentives and mathematical decision making.
themeLive
Graphs and Networks
Nodes, edges, algorithms, networks, colourings and connected structures.
themeLive
Real World Environments
Environmental modelling, rivers, sunlight, systems and decisions.
How to use this section
This strand should feel practical and mathematical at the same time: define the problem clearly, then explore what the constraints allow.