. 2022 Jul 30;2022:1149657. doi: 10.1155/2022/1149657

Table 1.

Parameters and descriptions.

Parameter	Description
R	Set of facility resources
I	Set of operations
P	Set of personnel resources
D	Set of day surgery types
ℑ	Set of jobs
R _i	Set of facility resources used by the operation i, i ∈ I
t _{i _dp} ^r	The processing time of the operation i under resource R_i^r
t _i ^s	The setup time of operation i ∈ I
t _i ^c	The cleanup time of operation i ∈ I
b _i	The maximum waiting time allowed for operation i ∈ I before it is moved to the next stage
e ^r	The available starting time of the resource r ∈ R_i
f ^r	The available ending time of the resource r ∈ R_i
H	Huge number
α	Very small weight factor
τ	Dummy operation of zero duration, τ is after all operations
J _i	Job to which operation i ∈ I belongs to
i _dp	Operation i processed by surgeon p, belonging to type d of surgery d ∈ D, p ∈ P

Decision variables

$z_{J_{i}}^{r} = \{\begin{matrix} 1, & if resource r is assigned to operation i of the day surgery J \\ 0, & otherwise \end{matrix}, i \in I, r \in R_{i}$
$θ_{J}^{r u} = \{\begin{matrix} 1, & if resource r is assigned to day surgery J before the resource u \\ 0, & otherwise \end{matrix}, r, u \in R_{i}, r < u, J \in ℑ$
$y_{J Q}^{r} = \{\begin{matrix} 1, & if surgery J is scheduled before surgery Q on the shared resource r \\ 0, & otherwise \end{matrix}, J, Q \in ℑ, J < Q, r \in R$
x _{J _i} ^r	Starting time of operation i of the day surgery J under resource r
L _{J _i} ^r	Leaving time of operation i of the day surgery J under resource r
x _τ	Starting time of dummy operation τ