BUMA 020: Management Science - Integer Programming

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Flashcards for reviewing vocabulary related to Integer Programming, covering types of models, constraints, and variables.

Last updated 3:36 AM on 5/22/25
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16 Terms

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Integer Programming

A type of Linear Programming where certain or all values must be whole numbers, leading to complex problem-solving and is highly useful in real-world scenarios.

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Pure (Total) Integer Model

Requires that all variables are integers.

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0-1 (Yes or No) Integer Model

All the decision variables have integer values of zero or one.

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Mutually Exclusive Constraint

When both decision variables are equal to zero.

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Multiple-Choice Constraint

Forces a decision between two options where one of the decision variables must be chosen—but not both—the constraint changes to an equation.

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Conditional Constraint

One project can only be chosen if another is chosen first.

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Corequisite Constraint

A stricter rule where either both facilities are built or neither is built. If one is selected, the other must be selected too.

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Mixed Integer Model

Some solution values for decision variables must be integers (whole number) and others can be non-integer or continuous variable (fractions, decimals).

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Continuous Variable

A variable that can take on an infinite number of values within some interval.

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Constraint

A mathematical relationship that represents limited resources or minimum levels of activity in a mathematical programming model.

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Decision Variable

A variable whose value represents a potential decision on the part of the manager.

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Integer Programming

A form of linear programming that generates only integer solution values for the model variables.

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Mixed Integer Model

An integer linear programming model that can generate a solution with both integer and non-integer values.

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Objective Function

A mathematical relationship that represents the objective of a problem solution.

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Total Integer Model

An integer programming model that all the decision variables are required to have integer solution values.

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Zero-One Integer Model

An integer programming model that can have solution values of only zero or one.