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Parameter

As explained in Optimization Algorithms: AI techniques for design, planning, and control problems

A fixed input value that specifies an optimization problem without being selected as a decision variable.

A parameter is a fixed input value that defines an optimization problem but is not selected as a decision variable. It shapes the objective, constraints, or data used to evaluate candidate solutions. section 1.3.1

Ticket-pricing optimization

An event organizer chooses ticket price x to maximize profit. Fixed costs a and variable costs b are parameters: they describe the business conditions but are not optimized. The ticket price x is the decision variable, bounded by lower and upper limits, while expected demand Q depends on x. section 1.3.1

Keep the roles separate: parameters describe the problem being solved; decision variables are the values the optimization method searches for. Bounds are constraints on decision variables rather than parameters themselves. section 1.3.1

How Optimization Algorithms: AI techniques for design, planning, and control problems covers it

How deep it goes
Defines parameters through a ticket-pricing objective and distinguishes them from decision variables and boundary constraints.
Examples
Uses fixed costs, variable costs, ticket price, demand, and profit in an event-pricing formulation.
What it assumes
Assumes familiarity with objective functions and decision variables while defining the parameter distinction through a concrete pricing problem.
What you can do after
Evaluate optimization formulations by identifying fixed inputs, decision variables, objectives, and variable bounds.
How it connects
Connects parameters with objective functions, decision variables, boundary constraints, and algorithm parameters.

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This explainer was generated by Manning's knowledge graph from the text of Optimization Algorithms: AI techniques for design, planning, and control problems. The section links point to the parts of the book it draws on.