Parameter

Notations

Definition

M

Number of CPs in the system.

(i, j)

A pair of values indicating a system state that i ongoing routine appointments and j ongoing urgent appointments.

S

System state space.

π_i,j

Steady-state probability of Markov state (i, j).

λ₁

Mean request rate of appointments by urgent CRs.

λ₂

Mean request rate of appointments by routine CRs.

µ₁

Mean service-completion rate of ongoing urgent appointments for a single CP.

µ₂

Mean service-completion rate of ongoing routine appointments for a single CP.

${\lambda }_j^{\ast }$

Mean rate of allocating CPs to the appointment requests by urgent CRs, depending on the value j.

${\mu }_j^{\ast }$

Mean rate of completing the appointments by urgent CRs, depending on the value j.

${\lambda }_{i,j}^{†}$

Mean rate of allocating CPs to the appointment requests by routine CRs, depending on the values of i and j

${\mu }_{i,j}^{†}$

Mean rate of completing the appointments by routine CRs, depending on the values of i and j.