Resource allocation with time intervals

We study a resource allocation problem where jobs have the following characteristics: Each job consumes some quantity of a bounded resource during a certain time interval and induces a given profit. We aim to select a subset of jobs with maximal total profit such that the total resource consumed at any point in time remains bounded by the given resource capacity. While this case is trivially NP-hard in general and polynomially solvable for uniform resource consumptions, our main result shows the NP-hardness for the case of general resource consumptions but uniform profit values, i.e. for the case of maximizing the number of performed jobs. This result applies even for proper time intervals. We also give a deterministic (1/2-)

• Type: Journal
• Year: 2010
• Where: TCS
• Authors: Andreas Darmann, Ulrich Pferschy, Joachim Schauer
• Keywords: Resource, Resource Consumptions, TCS 2010, Theoretical Computer Science, Time Intervals