Decision variable
A decision variable is a quantity whose value is chosen by an optimization model to represent an available decision.
Optimization Algorithms: AI techniques for design, planning, and control problems
A decision variable is a variable whose value is chosen to optimize an objective function subject to constraints.
- How it is used
- Frames controllable inputs as the choices optimization methods assign while searching for strong feasible solutions.
- How deep it goes
- Defines variables, bounds, and their effects on objectives, then applies them to pricing, vehicle design, and loading examples.
- Examples
- Uses ticket price, electric-vehicle design parameters, routing choices, and cargo-bike parcel selection as concrete decision variables.
- What you can do after
- Evaluate optimization models by identifying controllable inputs, their bounds, affected objectives, and applicable constraints.
Statistics Every Programmer Needs
A decision variable is an unknown quantity whose value represents a selectable decision in an optimization problem.
- How it is used
- Models selectable alternatives within linear optimization for project prioritization and resource allocation.
- How deep it goes
- Defines binary and continuous roles, specifies bounds, and connects variables to objectives and constraints without deriving solver algorithms.
- Examples
- Uses project-feature selection, feature cost and value data, and Python bounds of `(0, 1)` for each feature.
- What you can do after
- Apply it via `scipy.optimize.linprog` by defining variable bounds alongside objectives and linear constraints.
Read how Statistics Every Programmer Needs explains decision variable →
Related concepts
- binary random variableincludes · A binary random variable is a random variable that takes exactly two possible values, often represented as zero and one.
- optimizationpart of · Optimization is the systematic selection or adjustment of values, actions, or system designs to improve a specified objective, often subject to constraints.
- problem definitionpart of · A problem definition is a precise specification of a problem’s context, objectives, relevant inputs or conditions, constraints, and criteria to guide analysis or solution.
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