A Large Ion Collider Experiment (ALICE ) at CERN Large Hadron Collider (LHC) is a world-wide collaboration across 29 countries, 86 institutes and 1000 members till 2005. The purpose of the ALICE experiment is to explore the first instants of our Universe by studying quark-gluon plasma using beams of heavy ions. The particles in the beams will collide thousands of times per second and each collision will generate an event containing thousands of charged particles. Thus, every second, the characteristics of tens of thousands of particles will have to be recorded. During data-taking, which will take place round the clock for a month, the detector will accumulate one Petabyte (10^15 bytes) of data! This huge amount of data will be analyzed by the physicists all over the world to study the history of the collision. The following shows the early integration of the overall ALICE computing infrastructure in the ALICE Data Challenges: large scale high throughput distributed computing exercises.