This paper considers an M/M/R/N queue with heterogeneous
servers in which customers balk (do not enter) with a constant
probability (1 - b). We develop the maximum likelihood
estimates of the parameters for the M/M/R/N queue with balking and
heterogeneous servers. This is a generalization of the M/M/2
queue with heterogeneous servers (without balking), and the
M/M/2/N queue with balking and heterogeneous servers in the
literature. We also develop the confidence interval formula for
the parameter ρ, the probability of empty system P0, and
the expected number of customers in the system E[N], of an
M/M/R/N queue with balking and heterogeneous servers. The effects
of varying b, N, and R on the confidence intervals of P0
and E[N] are also investigated.