Sets:
$J$	Provinces $j\in J$
$I$	Set of patients in the province j, $i\in I_j$
$S$	Set of services
$N$	Set of nurses in the province j, $n\in N_j$
$D$	Set of days $d\in D$
$K$	Set of shifts $k\in K$
Model Parameters:
$F$	Total leave time for patients
$tf$	Waiting time of province for services
$t_s$	Duration of activity performed by the nurse
$t_n$	Total nursing day per month
$L$	Shift length
$P(S,J)$	Number of provinces that receive service of $S$
$U\left(J\right)$	Number of all patients in each province
$A\left(N,J\right)$	Number of Nursers type $N$ in each province
Decision variables:
$X_{jib}$	If the patient i is assigned to bed $b$ is 1, otherwise zero.
$Q_{jins}$	If service s is provided to the patient i by nurse $n$ is 1, otherwise zero.
$Z{N}_{jndk}$	If nurse n is used on day $d$ in shift $k$ is 1, otherwise zero.
$d{1}_{jn}^{+}$, $d{1}_{jn}^{-}$	The auxiliary variable of goal programming for nurses’ working days per month
$d{2}_{ji}^{+}$, $d{2}_{ji}^{-}$	The auxiliary variable of goal programming for allocating expert nurses to the provinces
$d{3}_j^{+}$, $d{1}_j^{-}$	The auxiliary variable of goal programming for nurse’s allocation to the ICU section
$d{4}_{jn}^{+}$, $d{4}_{jn}^{+}$	The auxiliary variable of goal programming for nurses’ working hours in each shift