Exact Overlap Rate Analysis and the Combination with 4D BIM of Time-Cost Tradeoff Problem in Project Scheduling

Table 1

Information of activities’ attributes.

Activity	Predecessors	(days)	Direct cost (dollars)	(evolution)	(sensitivity)
1	—	24	2,400	Fast	High	—	—	0.5	25	12
2	—	25	1,000	Slow		—	—	0.333	12	25
3	—	33	3,200	Slow	Low	—	—	0.5	12	25
4	—	20	30,000	Fast	Low	—	—	0.333	25	12
5	1	30	15,000	Fast	High	0.0	0.65	0.5	12	38
6	1	24	40,000	Slow	High	0.0	0.3	0.333	50	25
7	5	18	22,000	Fast	High	0.0	0.5	0.666	25	12
8	6	24	120	Slow	Low	0.0	0.5	0.5	12	12
9	6	25	300	Slow	Low	0.0	0.6	0.333	25	25
10	2, 6	33	450	Slow	Low	0.0	0.8	0.666	25	12
11	7, 8	20	350	Slow	High	0.0	0.6	0.5	12	25
12	5, 9, 10	30	2,000	Fast	Low	0.0	1	0.5	12	38
13	3	24	1,800	Slow	High	0.0	0.5	0.666	25	12
14	4, 10	18	2,200	Slow	Low	0.0	0.75	0.5	12	12
15	12	16	4,500	Slow	High	0.0	0.8	0.333	25	25
16	13, 14	30	1,000	Fast	High	0.0	0.65	0.5	12	38
17	11, 14, 15	24	4,000	Slow	Low	0.0	0.7	0.666	50	12
18	16, 17	18	3,000	Fast	High	0.0	1	0.5	25	25