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In this paper we furnish quality certificates for the Divide-and-Conquermethod solving the 0-1 Knapsack Problem: the worst case scenario and estimatesfor the expected performance. The probabilistic setting is given and the mainrandom variables are defined for the analysis of the expected performance. Theefficiency is rigorously approximated for one iteration of the method then,these values are used to derive analytic estimates for the performance of ageneral Divide-and-Conquer tree. All the theoretical results are verified withstatistically suited numerical experiments for a wider illustration of themethod.

Expected Performance and Worst Case Scenario Analysis of the Divide-and-Conquer Method for the 0-1 Knapsack Problem