A tight upper bound approximation of loss ratio in high-speed networks based on self-similar traffic

High-speed communication network technologies such as MPLS, ATM, DiffServ, etc can support multiple classes of traffic with different quality of service (QoS) requirements and diverse traffic characteristics. A main QoS requirement is packet/cell loss ratio (PLR/CLR). We need a real-time expression for calculating the loss ratio in these networks where statistical multiplexing is an important factor. In this paper, according to the fact that the real data traffic in high-speed networks in several cases shows a self-similar (fractal) behavior, we first, present a PLR simulation based on the self-similar traffic. Then, we have found a tight linear PLR approximation that can be calculated in real-time. At the end we have proposed a linear piece-wise approximation method to cover the whole practical range of the PLR in a finite buffer system.