In contrast to link admission control (LAC), which limits the truffle on a single link, network admission control (NAC) methods limit the traffic within a network. In this paper we present four basic budget based NAC approaches that have different complexity. They categorize most resource management schemes from a performance point of view regarding the maximum bandwidth utilization. Our results show that the option of single- or multi-path routing has a significant impact on the NAC performance while it is rather independent of the structure of the traffic matrix.