Table 1.

Result of Scenarios: (a) (A0-1) (A0-2) and (b) (S1, S2, S3)

(a) Scenarios (A0-1), (A0-2), personnel preferences’ rate of return (%) and fair assignation (a) results
HP: Hospital staff P1f:PersonalNoFemale P6m: PersonalNoMale SS: Seniority score NP: Number of preferences SPM, BFM, GAM (%): Satisfaction rate of preferences			A0-1: 3 periods (8 h, 8 h, 8 h) The work start time is selectable The working hours is fixed (40 h/W)					A0-2: 3 periods (8 h, 8 h, 8 h) The start time is selectable The Working hours is determinable (from 24 h/W to 56 h/W)
			Weekly work time					Weekly work time
HP	Age	SS	(h/W)	NP	SPM (%)	BFM (%)	GAM (%)	(h/w)	NP	SPM (%)	BFM (%)	GAM (%)
P1f	25–29	50	40	5	60	80	75	24	3	0	33	33
P2f	25–29	50	40	5	25	80	60	24	3	0	33	67
P3f	30–34	55	40	5	60	80	75	24	3	0	33	67
P4f	35–39	60	40	5	80	80	60	32	4	75	75	100
P5f	40–50	65	40	5	80	60	60	32	4	75	75	50
P6m	25–29	50	40	5	50	75	60	40	5	25	60	20
P7m	25–29	50	40	5	20	80	80	48	6	20	60	50
P8m	30–34	55	40	5	80	60	80	40	5	80	50	75
P9m	35–39	60	40	5	80	60	60	48	6	100	60	80
P10m	40–45	75	40	5	80	60	60	32	4	75	75	100
P11m	45–55	80	40	5	80	60	80	32	4	75	75	67
P12m	55–65	80	40	5	80	75	60	32	4	75	75	75
$\overline{\text{x}}$					64.6	70.8	67.5			50	58.7	65.3
$\mathrm{\sigma }$					22.3	9.7	9.4			37.6	17.6	24.1

(b) Scenarios (S1, S2, S3), personnel preferences' rate of return (%) and fair assignation (a) results
HP: Hospital staff SS: Seniority score WWT: Weekly working time (h/W) NP: Number of preferences SPM, BFM, GAM (%): Satisfaction rate of preferences				S1: 4 periods (6 h, 6 h, 6 h, 6 h) The work start time is selectable The Working hours is determinable (from 24 h/W to 56 h/W)				S2: 5 periods (8 h, 5 h, 4 h, 3 h, 4 h) The work start time is selectable The Working hours is determinable (from 24 h/W to 56 h/W)				S3: 6 period (4 h, 4 h, 4 h, 4 h, 4 h, 4 h) The work start time is selectable The Working hours is determinable (from 24 h/W to 56 h/W)
HP	Age	SS	(h/W)	NP	SPM (%)	BFM (%)	GAM (%)	NP	SPM (%)	BFM (%)	GAM (%)	NP	SPM (%)	BFM (%)	GAM (%)
P1f	25–29	50	24	4	25	75	75	5	50	80	50	6	0	67	40
P2f	25–29	50	24	4	0	50	100	5	17	60	40	6	0	50	50
P3f	30–34	55	24	4	75	50	50	5	40	60	80	6	83	50	60
P4f	35–39	60	32	5	100	80	40	7	86	71	100	8	88	63	50
P5f	40–50	65	32	5	100	80	80	7	86	50	71	8	88	63	50
P6m	25–29	50	40	7	43	57	71	10	55	89	78	10	44	60	60
P7m	25–29	50	45	8	50	63	86	10	20	78	67	11	55	64	92
P8m	30–34	55	40	7	71	71	71	9	67	60	44	10	90	78	67
P9m	35–39	60	45	8	100	100	100	10	100	100	73	11	100	100	92
P10m	40–45	75	32	5	100	80	40	7	86	43	43	8	88	88	88
P11m	45–55	80	32	5	100	80	80	7	100	50	63	8	88	88	88
P12m	55–65	80	32	5	100	60	60	7	86	57	63	8	88	88	88
X					72	70.5	71.1		66.1	66.5	64.3		67.7	71.6	68.8
a					34.9	14.9	20.4		24.9	17.3	17.8		35.3	16.4	19.6

For instance, explanations of the status of the personnel;

P1f: P1 Personnel No, f: Female; P6m: P6 Personnel No, m: Male

Seniority score(SS) (P1:50; The score 50 is a new worker or lowest in seniority, and 100 highest in seniority) (P1: 25 to 29 years) and weekly work time requests (WWT)

Staff Female: P1f, P2f, P3f, P4f, P5f, and Staff Male: P6m, P7m, P8m, P9m, P10m, P11m, P12m

12 staff are working in the hospital in total

$\overline{\text{x}}$ : The arithmetic mean; $\mathrm{\sigma }$ : the standard deviation