A theory model, based on the inclusion-exclusion principle from combinatorics, was built to analyze the multicast blocking probability in WDM (wavelength division multiplexing) network. In order to correct the departure of calculation result by the theory, a correctional function was introduced to modify the model. Analysis result of the corrected model shows more exact with the simulation. The algorithm complexity of our model will become deduced but the flexibility relatively increased.
To analyze behavior of two Internet backbone provider(IBP) in the course of interconnection, a non-cooperative game model to analyze the interconnection decision between two IBP was developed. The conclusions show that the rational behaviors of the providers accord with the government when the market structure is relative symmetric, but when the market structure is extremely asymmetric the providers' behaviors are contrary to expectations of the government. The government forced interconnection between the providers; on the other hand, more importantly, the government should encourage interconnection between weak IBP or ISP in order to reduce asymmetry of market. It makes the behaviors of the providers accord with the expectations of the government and the consumers, only in this situation, the interconnection problem can be solved fundamentally.
Three hierarchical mobile IP (Internet protocol) schemes to improve the handoff performance of mobile IP, i.e. hierarchical mobile IP, distributed and dynamic hierarchical mobile IP and chained foreign agent hierarchical mobile IP were introduced. An analysis model based on onedimensional random walk model was also proposed to derive the signaling transmission cost, the packet delivery cost and the total handoff cost of the three schemes. The performances of the three schemes were compared in detail based on the model, and the effects of different home handoff thresholds on the costs were discussed. Numerical results show that the chained foreign agent hierarchical mobile IP scheme outperforms the other two under small home handoff threshold.