Name of set
J	Set of physicians
K	Set of weekdays
L	Set of shifts
M	Set of outpatient rooms
N	Set of hospitals
Parameter
j	Code of physician: senior physician, j = 1,2,…,Na; junior physician, j = Na + 1, Na + 2,...,J
k	Week: k = 1,2,…,K (k = 1, Monday; k = 2, Tuesday…, k = 6, Saturday)
l	Time: l = 1,2,…,L (l = 1, morning shift; l = 2, afternoon shift; l = 3, evening shift)
m	medical service: m = 1,2,…,M; M = max (Nm1, Nm2, Nm3)
n	hospital: n = 1,2,…,N (n = 1, main hospital; n = 2, branch; n = 3, nursing home)
Definition of symbols
PZn	The maximum income under scheduling scenario n
PRWn	The relative weight of the income under scheduling scenario n
Sa	Physician satisfaction with scheduling of inconsecutive shifts in the same hospital
Sb	Physician satisfaction with scheduling of consecutive shifts in the same hospital
Sc	Physician satisfaction with scheduling of inconsecutive shifts in different hospitals
SZn	Maximum satisfaction under scheduling scenario n
SRWn	Relative weight of maximum satisfaction under scheduling scenario n
DVn	Decision value of scheduling under scenario n
DW	Decision weight value
MDVn	Maximum decision value
Nw	Outpatient service demand in one week
Mj	Physician j’s outpatient number in one week
Djk	Physician j needs to make outpatient surgery clinic on k (day of the week)
Nd1	Minimum number of shifts in one day
Nd2	Maximum number of shifts in one day
Nm1	Number of outpatient rooms in the main hospital
Nm2	Number of outpatient rooms in the branch
Nm3	Number of outpatient rooms in the nursing home
Ns1	Total number of senior physicians who support the branches and nursing homes
Ns2	Total number of junior physicians who support the branches and nursing homes
Decision Variable
Xjklmn	Whether physician j takes the shift l of outpatient room m in hospital n on day k (0 indicates “no”; 1 indicates “yes”)
Yjk	Whether physician j works on day k (0 indicates “no”; 1 indicates “yes”)