A Goal Programming Approach to Nurse Scheduling with Individual Preference Satisfaction

Table 5

Summary of deviations from the goals of the NSP model for the extend capacity scenario.

Nurse i	Actual total shifts	G1: working shifts balancing				G2: preferred shift assignments				G3: score of preferred day off assignments
		Total shifts	Si^-	STarget	% Dev	Total preferred shifts	PSi^-	PSTarget	% Dev	Total preferred day off scores	PDi^-	PDTarget	% Dev
1	24	24	0	24	0.8	20	0	20	1.3	12	0	12	7.6
2	20	24	0	24	0.8	16	4	20	19.0	10	2	12	10.3
3	20	24	0	24	0.8	20	0	20	1.3	12	0	12	7.6
4	20	23	1	24	3.4	20	0	20	1.3	10	2	12	10.3
5	24	24	0	24	0.8	20	0	20	1.3	10	2	12	10.3
6	23	24	0	24	0.8	20	0	20	1.3	12	0	12	7.6
7	21	24	0	24	0.8	20	0	20	1.3	9	3	12	19.3
8	22	24	0	24	0.8	20	0	20	1.3	12	0	12	7.6
9	24	24	0	24	0.8	19	1	20	3.8	9	3	12	19.3
10	20	24	0	24	0.8	20	0	20	1.3	10	2	12	10.3
11	20	23	1	24	3.4	20	0	20	1.3	11	1	12	1.3
12	24	24	0	24	0.8	20	0	20	1.3	12	0	12	7.6
13	20	24	0	24	0.8	20	0	20	1.3	12	0	12	7.6
14	20	23	1	24	3.4	20	0	20	1.3	11	1	12	1.3
15	24	24	0	24	0.8	20	0	20	1.3	12	0	12	7.6
16	24	23	1	24	3.4	20	0	20	1.3	11	1	12	1.3
17	24	24	0	24	0.8	20	0	20	1.3	12	0	12	7.6
18	—	24	0	24	0.8	20	0	20	1.3	12	0	12	7.6
19	—	24	0	24	0.8	20	0	20	1.3	12	0	12	7.6
20	—	24	0	24	0.8	20	0	20	1.3	12	0	12	7.6
Average					1.3				2.3				8.4

Dev = percent deviation from the average value.