Linear Programming Flashcards

1
Q

What is linear programming?

A

A method of optimising an objective function subject to constraints

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2
Q

What are the 3 characteristics to a linear programming problem?

A
  1. Objective function
  2. Decision variables
  3. Constraints
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3
Q

What is an objective function?

A

Something that is to be maximised or minimised, such as profit or cost

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4
Q

What is a constraint?

A

Certain restrictions that the values that can be used depend on, such as resources available

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5
Q

What is a feasible solution?

A

A solution that satisfies all problems constraints

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6
Q

What is an optimal solution?

A

A feasible solution that results in the largest possible objective function value when maximising, or smallest when minimising

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7
Q

What do plotted constraints on a graph show?

A

Feasible region

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8
Q

What are the three possible outcomes of a linear programme?

A
  1. No feasible solution
  2. Infinite solution
  3. Non-unique solution
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