...optimize decisions

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Use this page when you must choose actions, not just predict: plan routes, build schedules, set prices, allocate budgets, control machines, pick which offer to show. Many of these problems are solved best by classic optimization, not machine learning.

Start here

  • Can you write down the goal and the rules (minimize cost, meet demand, respect capacity and shifts)?
    • Yes → mathematical optimization: linear and mixed-integer programming, constraint programming, vehicle-routing solvers (Google OR-Tools, HiGHS, Gurobi, CPLEX; Pyomo or PuLP to write the model). LLMs can help translate a business problem into a model; the solver finds the best answer.
    • Shortest path on a known map or graph → classic search: Dijkstra or A*. No learning needed; reinforcement learning only helps when the environment is unknown or changing. Traveling-salesman and delivery routes → routing solvers and heuristics
  • Do you repeat the same choice many times and see results quickly (which headline, price, layout, artwork)?
    • Yes → A/B test → multi-armed bandits (shift traffic to winners automatically) → contextual bandits (pick the best option for each user or context)
  • Is it a sequence of decisions with delayed rewards, and do you have a simulator (games, robots, process control)?
    • Yes → Reinforcement Learning (RL): learn a series of actions; Q Learning or Deep Q Network (DQN) for small, discrete action sets; PPO or SAC for continuous control (libraries: Gymnasium, Stable-Baselines3, RLlib)
    • Only historical logs, no simulator → offline RL or imitation learning; evaluate carefully with off-policy methods before acting in the real world
  • Are the inputs uncertain (demand, travel times)?
    • Yes → predict, then optimize: forecast with ranges (...forecast time series), then optimize against them (stochastic or robust optimization)
  • Physical robots? → classic control plus perception; for general-purpose manipulation, robot foundation models (vision-language-action models such as Google DeepMind's Gemini Robotics, Physical Intelligence's π0, NVIDIA GR00T), trained largely in simulation and transferred to real hardware
  • Training language models with rewards (RLHF, reinforcement learning with verifiable rewards) → ...customize a model

Quick picks

Problem Try first Then compare
Schedules, shifts, production plans Mixed-integer programming (OR-Tools, HiGHS) Constraint programming, heuristics
Delivery routes OR-Tools routing Commercial routing solvers
Shortest path on a map Dijkstra / A* —
Which offer, price or layout Multi-armed / contextual bandit A/B test (simpler, slower)
Game, robot or process control with a simulator PPO, SAC, DQN Model-based RL, imitation learning
Decisions under uncertain demand Forecast + optimization Stochastic programming

Real-world examples

Watch out

  • Reward hacking — RL agents optimize exactly what you reward, including loopholes; include all the rules and costs.
  • Simulator gap — policies that work in simulation can fail on real machines; test gradually with safety limits.
  • Feasibility first — a plan that breaks a hard rule (labor law, capacity) is worthless, however cheap.

Measure success

Objective value against the current policy (cost, miles, revenue, energy), constraint violations, regret for bandits, and safety incidents. Compare with a simple rule-based baseline. More: ...evaluate and trust AI

Learn more


Where next? ◀ Decide & act · ...forecast time series · ...make recommendations · ...build an agent · ▶ ...evaluate and trust AI