$X_{ij}$	Binary variable indicating if nurse i is assigned to shift j
i	Nurse index
j	Shift index
I	Set of all nurses
J	Set of all shifts
$\Pi$	Set of morning shifts
A	Set of afternoon shifts
B	Set of night shifts
$C_{i\Pi }$	Weight for nurse i assigned to morning shifts
$C_{iA}$	Weight for nurse i assigned to afternoon shifts
$C_{iB}$	Weight for nurse i assigned to night shifts
$I_{T\left(j\right)}\subseteq I$	Subset of nurses qualified for shift type $T\left(j\right)$
$R_{T\left(j\right)}$	Required minimum number of qualified nurses for shift type $T\left(j\right)$
$T\left(j\right)$	Type of shift j (morning, afternoon, or night)
$\sum X_{ij}$	Total shifts assigned to nurse i
$\sum X_{i\Pi }$	Total morning shifts assigned to nurse i
$\sum X_{iA}$	Total afternoon shifts assigned to nurse i
$\sum X_{iB}$	Total night shifts assigned to nurse i
$Su$	Supervisor nurse
$De$	Deputy nurse
$TE$	Technological Education nurse
$SE$	Secondary Education nurse
$min\sum C_{ij}{X}_{ij}$	Objective function to minimize weighted shifts across all nurses