Asymptotic optimization of limited access queueing systems with losses

We consider limited access queueing systems with losses and investigate the following main problem of design and control associated with such systems: for fixed global parameters (the number of channels, the number of input flows and the portions of different types of customers in the composite flow, the number of channels available for each flow) find the optimal structure of channels availability (i.e. for each given input flow describe the set of channels which can be used by customers from this flow) and the optimal allocation of free available channels. In general, the uniformly optimal structure (for all values of traffic) does not exist. However, with the help of asymptotic analysis of stationary performance characteristics under light and heavy traffic, we can describe the asymptotically optimal structures and allocation policies.