Upper bounds for Revenue maximization in a Satellite Scheduling problem

Abstract

This paper presents upper bounds for the Satellite Revenue Selection and Scheduling problem (SRSS). A compact model of this generalized Prize Collecting Traveling Salesman Problem with Time Windows is defined and enriched with valid inequalities based on task interval reasoning. The non-concavity of the objective function to be maximized is also studied. Finally a Russian Dolls approach combines bounds on nested sub-problems. These first upper bounds for the SRSS problem are compared to best known solutions of the benchmark of the optimization challenge organized by the French OR society. © Springer-Verlag 2004.