Loss Probabilities of Hand-in Traffic under Various Protocols,I: Models and Algebraic Results |
| |
Authors: | Daley DJ Servi LD |
| |
Institution: | (1) School of Mathematical Sciences, Australian National University, Canberra, A.C.T, 0200, Australia;(2) MIT Lincoln Laboratory, 244 Wood Street, Lexington, MA 02420, USA |
| |
Abstract: | Mobile telephone traffic business demands that a given base station be able to handle both newly originating traffic and hand-in traffic from neighbouring base stations, with priority to be given to the latter, existing traffic. Starting from a baseline standard model in which all channels are available to all traffic, this note examines three other models, each with its own access control protocol that allocates a reserve capacity R amongst the N
tot channels to give priority to the hand-in traffic. These different protocols give different loss probabilities for the two types of traffic. All the results are proved on the basis of assuming a Poisson arrival process and independent exponential service times. This paper concentrates on presenting explicit expressions for many of the loss probabilities, some of them given by the Erlang B loss formula or variants, as well as simple approximations and bounds. A companion paper presents results comparing the various models. |
| |
Keywords: | loss probabilities hand-in traffic Erlang B formulae model comparisons loss probability approximations |
本文献已被 SpringerLink 等数据库收录! |
|