Memory interleaving and multiple access ports are the key to a high memory bandwidth in vector processor systems. Each of the active ports supports an independent access stream to memory among which access conflicts may arise. Such conflicts lead to a decrease in memory bandwidth. The authors present some analytical results for the calculation of the resulting effect bandwidth for one and two access streams to a memory system in a vector processor. In particular, conditions for conflict-free access are given together with some conflicting cases that should be avoided. Finally, examples of measurements on a Cray X-MP and corresponding simulations are presented.