Question: Solving Balance Equation

Hi,

I reach to these balance equations Equations.pdf  in my queuing system where all parameters (N, S, m, λ, μ, x) are positive integer.

I was wondering whether I can solve these (N + S) equations by Maple to find the variables (πx , -N ≤ x ≤ S ) based on the parameters?

These (N + S) variables indicate the steady-state probabilities in the system.

Thanks.

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