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Regular version of the site

Article

Data aggregation for p-median problems

Journal of Combinatorial Optimization. 2011. Vol. 21. No. 3. P. 348-363.
Albdaiwi B., Ghosh D., Goldengorin B. I.

In this paper, we use a pseudo-Boolean formulation of the p-median problem and using data aggregation, provide a compact representation of p-median problem instances. We provide computational results to demonstrate this compactification in benchmark instances. We then use our representation to explain why some p-median problem instances are more difficult to solve to optimality than other instances of the same size. We also derive a preprocessing rule based on our formulation, and describe equivalent p-median problem instances, which are identical sized instances which are guaranteed to have identical optimal solutions.