This paper presents several methodological and algorithmic improvements over a state-of-the-art dynamic programming algorithm for solving the bi-objective {0,1} knapsack problem. The variants proposed make use of new definitions of lower and upper bounds, which allow a large number of states to...

This paper focuses on detecting nuclear weapons on cargo containers using port security screening methods, where the nuclear weapons would presumably be used to attack a target within the United States. This paper provides a linear programming model that simultaneously identifies optimal primary...

This article presents an exact cooperative method for the solution of the multidimensional knapsack problem (MKP) which combines dynamic programming and branch and bound. Our method makes cooperate a dynamic programming heuristics based on surrogate relaxation and a branch and bound procedure....