The M/G/2 queueing model with service time distribution a mixture of m negative exponential distributions is analysed. The starting point is the functional relation for the Laplace-Stieltjes transform of the stationary joint distribution of the workloads of the two servers. By means of Wiener-Hopf decompositions the solution is constructed and reduced to the solution of m linear equations of which the coefficients depend on the zeros of a polynome. Once this set of equations has been solved the moments of the waiting time distribution can be easily obtained. The Laplace-Stieltjes transform of the stationary waiting time distribution has been derived, it is an intricate expression.
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