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A single-hop OSI structured network with multiple layers of sliding window flow control and packet fragmentation between layers is analyzed. An approximation algorithm is presented to hierarchically reduce the network to a single queue whose performance characteristics represent the original network. Network transmission characteristics are restricted to Erlang distributions. Validation against exact and simulation results showed that the approximation algorithm has a satisfactory error level.

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This paper presents a hierarchical model for a catenet environment. The model consists of three levels of models, and it reflects the end to end delay between two host computers each connected to a different LAN. The two LANs are connected via gateways by a WAN. The model incorporates a basic flow control mechanism, standardized local area network behaviour, as well as gateway functions in terms of packet fragmentation and reassembly. The model can be used to obtain performance measures such as the mean end to end delay and the system's throughput as a function of parameters such as arrival rate of packets, maximum window size, and traffic mix.