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Proof of a Convexity Property of the Erlang B Formula

1972; Institute of Electrical and Electronics Engineers; Volume: 51; Issue: 4 Linguagem: Inglês

10.1002/j.1538-7305.1972.tb01956.x

2376-7154

E. J. Messerli,

Mobile Agent-Based Network Management

Consider Poisson traffic offered to a group of n trunks. Blocked calls are cleared, and call holding times are independent and identically distributed. In equilibrium, the call congestion is given by the well-known Erlang B formula 1