Albers, Sönke

Implicit enumeration algorithms for the set-partitioning problem

OR-Spektrum, 2 (1): 32-23, (1980).

Copy reference link   DOI: 10.1007/BF01720155

Abstract: A new column enumeration algorithm for solving the Set-Partitioning Problem is presented. It is not based on the staircase form of the coefficient matrix. Rather, it uses a preordering of the variables with respect to their cost of covering one row that is a supposition of a new strong lower bound concept. The enumeration process itself is organized similar to a general branch-and-bound concept. The performance of the algorithm is evaluated on the basis of a systematic comparison with different variants of the wellknown algorithms by Pierce and Garfinkel-Nemhauser. The computational experiences indicate that the new algorithm is superior for problems with moderatly dense coefficient matrices.

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