Simulated annealing: theory and applications
Simulated annealing: theory and applications
Journal of Computational Physics
Best-so-far vs. where-you-are: implications for optimal finite-time annealing
Systems & Control Letters
A re-examination of text categorization methods
Proceedings of the 22nd annual international ACM SIGIR conference on Research and development in information retrieval
Local Search in Combinatorial Optimization
Local Search in Combinatorial Optimization
Computers and Intractability; A Guide to the Theory of NP-Completeness
Computers and Intractability; A Guide to the Theory of NP-Completeness
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We present a combinatorial optimization problem with a particular cost structure: a constrained set of elements must be chosen from a ground set and the ground set is partitioned into subsets corresponding to types of elements. The constraints concern the elements, whereas the solution cost does not depend on the elements but only on their types. The motivation of this study comes from text categorization but we believe that the same combinatorial structure may emerge in many different contexts. We prove that the problem is NP-hard. We give a 0-1 linear programming formulation and we report on computational experiences on very large instances using branch-and-bound algorithms based on two different Lagrangean relaxations and heuristic algorithms based on Threshold Accepting and Simulated Annealing.