Table 1.

Notation

Index and set	Definition
$t\in T,t\in \tilde{T}$	time slots that are in regular and overtime respectively, with $\tilde{T}=\left\{\right|T|+1,|T|+2,\dots \}$, and $T^{\ast }=T\cup \tilde{T}\setminus \left\{1\right\}$
s ∈ S	clinician types, with S∗ = S ∖{1}
ξ ∈ Ξ	scenarios
Parameter	Definition
x s ξ	number of multi-disciplinary patients that arrive in scenario ξ and are referred to clinician type s
P s	proportion of multi-disciplinary patients that will be referred to clinician type s for which $\sum _{s\in S^{\ast }}{P}_s=1$ holds
c s	capacity of clinician type s
ϕ ξ	probability of scenario ξ, as derived from Eq. 1
𝜖1,𝜖2,𝜖3	objective function weights
Variable	Definition
Xs,tξ	number of appointment slots reserved for multi-disciplinary patients in scenario ξ that will be referred to clinician type s
	in time slot t
Y s, t	number of pre-booked appointment slots scheduled for clinician type s in time slot t
O s ξ	expected overtime in scenario ξ for clinician type s
W s ξ	total expected waiting time in scenario ξ for multi-disciplinary patients referred to clinician type s
Ls,tξ	queue length in scenario ξ at time t for clinician type s
I s ξ	idle time in scenario ξ for clinician type s