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\subsection{General case}  We turn to a general discussion of the problem by analyzing how the average waiting time changes as the number of groups per minute increases in the course of the transition from the \textit{off peak} to the \textit{rush hour} state.\\  The chart below shows the average waiting time $T_w$ \eqref{Tim} as a function of the average number of groups per minute $\lambda$ in the two cases: five elevators (bottom line) and six elevators (top line). The average service time is kept constant at $W_s=1'$ $30''$. The case in which If  the average waiting time is grater than $1'$ the curve  is highlighted by red markers. The two cases discussed above lie in the middle of the x axis \textit{off peak}: $\lambda=2$ groups per minute) and in the right hand side of it (\textit{rush hour}: $\lambda=3$ groups per minute).