The transient analysis of loss networks

Unlike stationary behavior, time-dependent blocking probabilities for loss networks are not well understood and little work has been done except for the single service center case. We propose novel closed-form transient analysis methods for single Erlang loss system and networks, to the best of our knowledge, these are the most efficient ways to analyze the transient behavior of Erlang loss system and networks. Applying this model, time-dependent provisioning can satisfy dynamically changed traffic demands and avoid overprovisioning problem in connection-oriented loss networks.