In this paper, we propose a tool for testing the quality of heuristic solutions for scheduling problems with a min-max objective function, such as, for example, the minimization of maximum tardiness or makespan. We present a bounding scheme which is powerful enough to allow an accurate quality...

In this work we address a game theoretic variant of the Subset Sum problem, in which two decision makers (agents/players) compete for the usage of a common resource represented by a knapsack capacity. Each agent owns a set of integer weighted items and wants to maximize the total weight of its...

We consider the problem of scheduling n tasks subject to chain-precedence constraints on two identical machines with the objective of minimizing the makespan. The problem is known to be strongly NP-hard. Here, we prove that it is binary NP-hard even with three chains. Furthermore, we...