On/off model with heterogenous sources under fast growth condition
Modern high-speed communication networks are capable to transmit data streams (voice mail, multimedia files, text information, etc.) with different requirements to the network parameters. Providing the required level of quality of service for each application and user in this case often leads to serious problems in the effective redistribution of limited network resources. Hence, the development of an adequate traffic models and investigation their properties, is an important task of network engineering. Of particular interest is to study non homogenous traffic and its influence on system performance. In this paper we consider asymptotic behavior of cumulative input process in ON/OFF-model with a heterogenous distributions of active period lengths under Fast Growth Condition regime and specify conditions under which the source of any type can affect the performance of telecommunication system.