The paper studies the bandwidth allocation processer satellite communication systems as a Multi-Objective programming (MOP) problem and evaluates an allocation method called "Combined Utopia Minimum Distance" combined UMD). The entities of the system are earth stations d, for each of them, a set of performance metrics (represented specific analytical functions), which compete to access the tellite channel. Combined UMD is aimed at approaching the performance obtained for each performance metric when there is, conflict among them to access the channel. In short, it assigns e bandwidth so to approach a non-competitive situation where ch metric "sees" the overall channel bandwidth availability those as possible. In more detail, in this work two kinds of performance metric have been considered: the Packet Loss probability, which is a typical QoS metric for the TCP based affic and the Average Delay, which is typical for UDP based traffic. The allocation method is tested through the ns2 simulator, using TCP and UDP traffic generators and by varying the ding level of the satellite channel over time. Combined UMD been compared with other approaches taken from the erature in the field.