Linear Programming Flashcards
What is linear programming?
A method of optimising an objective function subject to constraints
What are the 3 characteristics to a linear programming problem?
- Objective function
- Decision variables
- Constraints
What is an objective function?
Something that is to be maximised or minimised, such as profit or cost
What is a constraint?
Certain restrictions that the values that can be used depend on, such as resources available
What is a feasible solution?
A solution that satisfies all problems constraints
What is an optimal solution?
A feasible solution that results in the largest possible objective function value when maximising, or smallest when minimising
What do plotted constraints on a graph show?
Feasible region
What are the three possible outcomes of a linear programme?
- No feasible solution
- Infinite solution
- Non-unique solution