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2016

Computational performance evaluation of two integer linear programming models for the minimum common string partition problem

9 months 15 days ago
Computational performance evaluation of two integer linear programming models for the minimum common string partition problem
In the minimum common string partition (MCSP) problem two related input strings are given. “Related” refers to the property that both strings consist of the same set of letters appearing the same number of times in each of the two strings. The MCSP seeks a minimum cardinality partitioning of one string into non-overlapping substrings that is also a valid partitioning for the second string. This problem has applications in bioinformatics e.g. in analyzing related DNA or protein sequences. For strings with lengths less than about 1000 letters, a previously published integer linear programming (ILP) formulation yields, when solved with a state-of-the-art solver such as CPLEX, satisfactory results. In this work, we propose a new, alternative ILP model that is compared to the former one. While a polyhedral study shows the linear programming relaxations of the two models to be equally strong, a comprehensive experimental comparison using real-world as well as artificially created benchm...
Christian Blum, Günther R. Raidl
Added 08 Apr 2016
Updated 08 Apr 2016
Type Journal
Year 2016
Where OL
Authors Christian Blum, Günther R. Raidl
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