In this paper we address the discrete resource allocation problem in a deterministic flow line. We assume that the processing times are convex and nonincreasing in the amount of resources allocated to the machines. We consider the resource allocation problem for a fixed sequence of jobs for...

The paper deals with the definition and the computation of surrogate upper bound sets for the bi-objective bi-dimensional binary knapsack problem. It introduces the Optimal Convex Surrogate Upper Bound set, which is the tightest possible definition based on the convex relaxation of the surrogate...

Two new algorithms recently proved to outperform all previous methods for the exact solution of the 0-1 Knapsack Problem. This paper presents a combination of such approaches, where, in addition, valid inequalities are generated and surrogate relaxed, and a new initial core problem is adopted....

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....