Indices:
$i$	Appointment;
$z$	Objective;
$d$	Day in the planning horizon.
Sets:
$\mathcal{I}$	Appointments;
$\mathcal{O}$	Objectives;
$\mathcal{S}$	Feasible values of $x_i,$ start time of appointment slots in the time horizon.
Parameters:
$N_{\mathcal{I}}$	Number of appointments;
$N_{\mathcal{O}}$	Number of objectives;
$N_{\mathcal{D}}$	Number of days in the planning horizon;
${\mathcal{W}}_z$	Weight of objective $z\in \mathcal{O}$;
$L{B}_i$	Lower bound of planned patient arrival time $x_i$ of appointment $i\in \mathcal{I}$;
$U{B}_i$	Upper bound of planned patient arrival time $x_i$ of appointment $i\in \mathcal{I}$;
$ET$	End time of the planning horizon.
Decision variables:
$x_i$	Planned patient arrival time of appointment $i=1, 2,\dots , N_{\mathcal{I}}$.