What are the types of integer linear programming problems?
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There are three main types of ILP problems:
Pure ILP: All decision variables are required to be integers.
Mixed-Integer Linear Programming (MILP): Some decision variables are integers, while others can be continuous.
0-1 Integer Programming: Decision variables can only take binary values (0 or 1), often used for yes/no decisions.
The types of Integer Linear Programming (ILP) problems are:
1. Pure ILP: All decision variables must be integers.
2. Mixed-Integer Linear Programming (MILP): Some, but not all, decision variables are integers.
3. Binary ILP: Decision variables are restricted to binary values (0 or 1).
There are several types of Integer Linear Programming (ILP) problems, including:
- Pure Integer Programming (PIP): All decision variables are required to take integer values.
- Mixed Integer Programming (MIP): Some decision variables are constrained to be integers, while others can take continuous values.
- 0-1 Integer Programming (Binary Integer Programming): Decision variables can only take on values of 0 or 1, often used for yes/no decisions.
- General Integer Programming (GIP): This allows some or all of the variables to be integers, without specifying a particular structure like binary or pure integer.