A Goal Programming Approach to Nurse Scheduling with Individual Preference Satisfaction

Table 4

Summary of deviations from the goals of the NSP model for the normal 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^-	PS Target	% Dev	Total preferred day off scores	PDi^-	PdTarget	% Dev
1	24	23	1	24	0.3	20	0	20	4.3	12	0	12	5.7
2	20	24	0	24	4.1	17	3	20	11.3	10	2	12	11.9
3	20	23	1	24	0.3	18	2	20	6.1	11	1	12	3.1
4	20	23	1	24	0.3	16	4	20	16.6	11	1	12	3.1
5	24	22	2	24	4.6	18	2	20	6.1	11	1	12	3.1
6	23	23	1	24	0.3	20	0	20	4.3	11	1	12	3.1
7	21	23	1	24	0.3	18	2	20	6.1	11	1	12	3.1
8	22	23	1	24	0.3	20	0	20	4.3	11	1	12	3.1
9	24	24	0	24	4.1	20	0	20	4.3	12	0	12	5.7
10	20	24	0	24	4.1	20	0	20	4.3	12	0	12	5.7
11	20	22	2	24	4.6	20	0	20	4.3	12	0	12	5.7
12	24	23	1	24	0.3	19	1	20	0.9	10	2	12	11.9
13	20	23	1	24	0.3	20	0	20	4.3	12	0	12	5.7
14	20	23	1	24	0.3	20	0	20	4.3	12	0	12	5.7
15	24	24	0	24	4.1	20	0	20	4.3	12	0	12	5.7
16	24	22	2	24	4.6	20	0	20	4.3	12	0	12	5.7
17	24	23	1	24	0.3	20	0	20	4.3	11	1	12	3.1
Average					1.9				5.6				5.4

Dev = percent deviation from the average values.