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\subsection{General case}  We turn to amore  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. 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 the average waiting time is grater than $1'$ is highlighted by red markers. The