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.

πi,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.

λ j

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

μ j

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

λ i , j

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

μ i , j

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