Three Phases of Teletraffic Congestion in Military Access Areas

Martin Nesenbergs and Robert F. Linfield

Abstract: In military base access areas, akin to many commercial installations, the telecommunications traffic passes through several concentration and switching stages. Loads to server facilities are formed through mergers and branch outs of offered traffic substreams. Blocking of calls is known to occur in many ways throughout the existing access area networks. In this report, an effort is made to represent the access area grades of service (i.e., the probabilities of blocking for different substreams) in more realistic ways than before. The message flow process is structured into three representative contention phases. The three phases are realistic and occur often in military networks. All three phases apparently possess queueing models and analytical properties distinct from the conventional Engset, Erlang, and other classical models. Their blocking probabilities also differ significantly. One of the three models appears tractable only through bounds and asymptotically tight approximations. The other two models are shown to permit formal solutions. Given an access area network, the three blocking probabilities may be applied individually or in a variety of combinations. The paper demonstrates several applications to access area telephony.

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