International audienceWe propose a simple exact algorithm for solving the generalized assignment problem. Our contribution is twofold: we reformulate the optimization problem into a sequence of decision problems, and we apply variable-fixing rules to solve these effectively. The decision problems are solved by a simple depth-first lagrangian branch-and-bound method, improved by our variable-fixing rules to prune the search tree. These rules rely on lagrangian reduced costs which we compute using an existing but little-known dynamic programming algorithm. Keywords Integer programming · Generalized assignment problem · Branch and bound · Lagrangian relaxation · Dynamic programmin

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International audienceDifficult discrete optimization problems are often solved using a Branch-and-Bound approach. Resolution Search is an alternate approach proposed by Chvátal for 0–1 problems, allowing more flexibility in the search process. In this paper, we generalize the Resolution Search approach to any discrete problem