Abstract: The Internet has evolved to a stage where it is expected to support transfer of not only elastic traffic but also real-time traffic with delay, jitter and loss guarantees. Upon the arrival of a request it is necessary to find a path through the network that has sufficient capacity—this is referred to as ‘routing’. It is essential to set up Virtual Paths through a network of routers. Such Virtual Paths are called Label switched Paths (LPs) in MPLS terminology. The arrived request for ingress-egress pair (S,D)1 must be routed along a single (unsplit) path in such a way that the minimum unsplit flow between all other ingress-egress pairs is maximized; here all other ingress-egress pairs have traffic flowing simultaneously. Thus explaining the name Maximum Minimum Additional Flow Routing Algorithm (MMAFRA).