Enumeration methods 1

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There are two solution sets for difficult combinatorical optimization problems available: complete and incomplete enumeration methods. These solution sets also apply on integer or mixed-integer optimization problems.

Theory

Complete enumeration

A complete enumeration method guarantees, that from all possible solutions the optimum is chosen. Algorithms that always provide the optimal solution are called exact methods.

Explicit complete enumeration

Implicit complete enumeration

Incomplete enumeration

Example

Presentation of the problem

Solution process

Sources

Neumann, K.; Morlock, M.: Operations Research, 2.Auflage, Carl Hanser Verlag München Wien, 2002